Topic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
1. [Option ID = 26405]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26406]3. [Option ID = 26404]
4. [Option ID = 26403]
Correct Answer :-
[Option ID = 26403]
--- Content provided by FirstRanker.com ---
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
--- Content provided by FirstRanker.com ---
Correct Answer :-(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
--- Content provided by FirstRanker.com ---
2. 12 [Option ID = 26254]3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
Correct Answer :-
20 [Option ID = 26253]
--- Content provided by FirstRanker.com ---
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then theeccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
3. [Option ID = 26326]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26325]Correct Answer :-
[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
FirstRanker.com - FirstRanker's Choice
1)
2)
--- Content provided by FirstRanker.com ---
3)4)
5)
DU BTech IT N Mathematical Innovations
Topic:- DU_J18_BTECH_Topic01
--- Content provided by FirstRanker.com ---
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
3. [Option ID = 26404]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26403]Correct Answer :-
[Option ID = 26403]
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
1. (0, 1) [Option ID = 26232]
--- Content provided by FirstRanker.com ---
2. (1, 1) [Option ID = 26234]3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
Correct Answer :-
(0, 1) [Option ID = 26232]
--- Content provided by FirstRanker.com ---
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all suchposiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
2. 12 [Option ID = 26254]
3. 20 [Option ID = 26253]
--- Content provided by FirstRanker.com ---
4. 10 [Option ID = 26251]Correct Answer :-
20 [Option ID = 26253]
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
eccentricity of the ellipse is [Question ID = 6583]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26324]2. [Option ID = 26323]
3. [Option ID = 26326]
4. [Option ID = 26325]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26325]The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26296]4. 4 [Option ID = 26297]
Correct Answer :-
4 [Option ID = 26297]
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
--- Content provided by FirstRanker.com ---
steps he is exactly three steps away from the starting point; [Question ID = 6585]1. [Option ID = 26332]
2. [Option ID = 26334]
3. [Option ID = 26333]
4. [Option ID = 26331]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
FirstRanker.com - FirstRanker's Choice
--- Content provided by FirstRanker.com ---
1)2)
3)
4)
5)
--- Content provided by FirstRanker.com ---
DU BTech IT N Mathematical InnovationsTopic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
1. [Option ID = 26405]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26406]3. [Option ID = 26404]
4. [Option ID = 26403]
Correct Answer :-
[Option ID = 26403]
--- Content provided by FirstRanker.com ---
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
--- Content provided by FirstRanker.com ---
Correct Answer :-(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
--- Content provided by FirstRanker.com ---
2. 12 [Option ID = 26254]3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
Correct Answer :-
20 [Option ID = 26253]
--- Content provided by FirstRanker.com ---
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then theeccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
3. [Option ID = 26326]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26325]Correct Answer :-
[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)
7)
[Question ID = 6576]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26298]2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
Correct Answer :-
--- Content provided by FirstRanker.com ---
4 [Option ID = 26297]A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
2. [Option ID = 26334]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26333]4. [Option ID = 26331]
Correct Answer :-
[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26469]8)
9)
10)
4. [Option ID = 26467]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26465]
[Question ID = 7155]
1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
--- Content provided by FirstRanker.com ---
3. a=1/2 [Option ID = 28614]4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
FirstRanker.com - FirstRanker's Choice
--- Content provided by FirstRanker.com ---
1)2)
3)
4)
5)
--- Content provided by FirstRanker.com ---
DU BTech IT N Mathematical InnovationsTopic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
1. [Option ID = 26405]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26406]3. [Option ID = 26404]
4. [Option ID = 26403]
Correct Answer :-
[Option ID = 26403]
--- Content provided by FirstRanker.com ---
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
--- Content provided by FirstRanker.com ---
Correct Answer :-(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
--- Content provided by FirstRanker.com ---
2. 12 [Option ID = 26254]3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
Correct Answer :-
20 [Option ID = 26253]
--- Content provided by FirstRanker.com ---
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then theeccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
3. [Option ID = 26326]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26325]Correct Answer :-
[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)
7)
[Question ID = 6576]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26298]2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
Correct Answer :-
--- Content provided by FirstRanker.com ---
4 [Option ID = 26297]A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
2. [Option ID = 26334]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26333]4. [Option ID = 26331]
Correct Answer :-
[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26469]8)
9)
10)
4. [Option ID = 26467]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26465]
[Question ID = 7155]
1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
--- Content provided by FirstRanker.com ---
3. a=1/2 [Option ID = 28614]4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
--- Content provided by FirstRanker.com ---
12)[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
--- Content provided by FirstRanker.com ---
4. GRAPH IV [Option ID = 26206]Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26309]3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
--- Content provided by FirstRanker.com ---
FirstRanker.com - FirstRanker's Choice1)
2)
3)
4)
--- Content provided by FirstRanker.com ---
5)DU BTech IT N Mathematical Innovations
Topic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26405]2. [Option ID = 26406]
3. [Option ID = 26404]
4. [Option ID = 26403]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26403]A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
--- Content provided by FirstRanker.com ---
4. (0, 0) [Option ID = 26233]Correct Answer :-
(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
--- Content provided by FirstRanker.com ---
1. 24 [Option ID = 26252]2. 12 [Option ID = 26254]
3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
Correct Answer :-
--- Content provided by FirstRanker.com ---
20 [Option ID = 26253]A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26326]4. [Option ID = 26325]
Correct Answer :-
[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
--- Content provided by FirstRanker.com ---
to the left or the right peg right.6)
7)
--- Content provided by FirstRanker.com ---
[Question ID = 6576]1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
--- Content provided by FirstRanker.com ---
Correct Answer :-4 [Option ID = 26297]
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26334]3. [Option ID = 26333]
4. [Option ID = 26331]
Correct Answer :-
[Option ID = 26331]
--- Content provided by FirstRanker.com ---
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.[Question ID = 6619]
1. [Option ID = 26468]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26470]3. [Option ID = 26469]
8)
9)
10)
--- Content provided by FirstRanker.com ---
4. [Option ID = 26467]Correct Answer :-
[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26466]Correct Answer :-
[Option ID = 26465]
[Question ID = 7155]
1. a > 0 [Option ID = 28611]
--- Content provided by FirstRanker.com ---
2. a < 0 [Option ID = 28612]3. a=1/2 [Option ID = 28614]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
--- Content provided by FirstRanker.com ---
11)12)
[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
--- Content provided by FirstRanker.com ---
3. GRAPH II [Option ID = 26204]4. GRAPH IV [Option ID = 26206]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26310]2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26307]13)
[Question ID = 6617]
1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
--- Content provided by FirstRanker.com ---
3. Gray [Option ID = 26460]4. White [Option ID = 26459]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
--- Content provided by FirstRanker.com ---
FirstRanker.com - FirstRanker's Choice1)
2)
3)
4)
--- Content provided by FirstRanker.com ---
5)DU BTech IT N Mathematical Innovations
Topic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26405]2. [Option ID = 26406]
3. [Option ID = 26404]
4. [Option ID = 26403]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26403]A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
--- Content provided by FirstRanker.com ---
4. (0, 0) [Option ID = 26233]Correct Answer :-
(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
--- Content provided by FirstRanker.com ---
1. 24 [Option ID = 26252]2. 12 [Option ID = 26254]
3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
Correct Answer :-
--- Content provided by FirstRanker.com ---
20 [Option ID = 26253]A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26326]4. [Option ID = 26325]
Correct Answer :-
[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
--- Content provided by FirstRanker.com ---
to the left or the right peg right.6)
7)
--- Content provided by FirstRanker.com ---
[Question ID = 6576]1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
--- Content provided by FirstRanker.com ---
Correct Answer :-4 [Option ID = 26297]
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26334]3. [Option ID = 26333]
4. [Option ID = 26331]
Correct Answer :-
[Option ID = 26331]
--- Content provided by FirstRanker.com ---
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.[Question ID = 6619]
1. [Option ID = 26468]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26470]3. [Option ID = 26469]
8)
9)
10)
--- Content provided by FirstRanker.com ---
4. [Option ID = 26467]Correct Answer :-
[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26466]Correct Answer :-
[Option ID = 26465]
[Question ID = 7155]
1. a > 0 [Option ID = 28611]
--- Content provided by FirstRanker.com ---
2. a < 0 [Option ID = 28612]3. a=1/2 [Option ID = 28614]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
--- Content provided by FirstRanker.com ---
11)12)
[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
--- Content provided by FirstRanker.com ---
3. GRAPH II [Option ID = 26204]4. GRAPH IV [Option ID = 26206]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26310]2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26307]13)
[Question ID = 6617]
1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
--- Content provided by FirstRanker.com ---
3. Gray [Option ID = 26460]4. White [Option ID = 26459]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
--- Content provided by FirstRanker.com ---
14)15)
16)
1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
--- Content provided by FirstRanker.com ---
3. IMAGE IV [Option ID = 26258]4. IMAGE III [Option ID = 26257]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
--- Content provided by FirstRanker.com ---
1. 44 [Option ID = 26435]2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
--- Content provided by FirstRanker.com ---
50 [Option ID = 26436][Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26421]Correct Answer :-
[Option ID = 26421]
[Question ID = 6591]
1. -6, -32 [Option ID = 26358]
--- Content provided by FirstRanker.com ---
2. -6, 3 [Option ID = 26357]3. -2, -3 [Option ID = 26356]
4. -2, -32 [Option ID = 26355]
Correct Answer :-
FirstRanker.com - FirstRanker's Choice
--- Content provided by FirstRanker.com ---
1)2)
3)
4)
5)
--- Content provided by FirstRanker.com ---
DU BTech IT N Mathematical InnovationsTopic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
1. [Option ID = 26405]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26406]3. [Option ID = 26404]
4. [Option ID = 26403]
Correct Answer :-
[Option ID = 26403]
--- Content provided by FirstRanker.com ---
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
--- Content provided by FirstRanker.com ---
Correct Answer :-(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
--- Content provided by FirstRanker.com ---
2. 12 [Option ID = 26254]3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
Correct Answer :-
20 [Option ID = 26253]
--- Content provided by FirstRanker.com ---
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then theeccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
3. [Option ID = 26326]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26325]Correct Answer :-
[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)
7)
[Question ID = 6576]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26298]2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
Correct Answer :-
--- Content provided by FirstRanker.com ---
4 [Option ID = 26297]A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
2. [Option ID = 26334]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26333]4. [Option ID = 26331]
Correct Answer :-
[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26469]8)
9)
10)
4. [Option ID = 26467]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26465]
[Question ID = 7155]
1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
--- Content provided by FirstRanker.com ---
3. a=1/2 [Option ID = 28614]4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
--- Content provided by FirstRanker.com ---
12)[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
--- Content provided by FirstRanker.com ---
4. GRAPH IV [Option ID = 26206]Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26309]3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
--- Content provided by FirstRanker.com ---
13)[Question ID = 6617]
1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
--- Content provided by FirstRanker.com ---
4. White [Option ID = 26459]Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
--- Content provided by FirstRanker.com ---
15)16)
1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
--- Content provided by FirstRanker.com ---
4. IMAGE III [Option ID = 26257]Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
--- Content provided by FirstRanker.com ---
2. 50 [Option ID = 26436]3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
--- Content provided by FirstRanker.com ---
[Question ID = 6607]1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26421]
[Question ID = 6591]
1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
--- Content provided by FirstRanker.com ---
3. -2, -3 [Option ID = 26356]4. -2, -32 [Option ID = 26355]
Correct Answer :-
17)
18)
--- Content provided by FirstRanker.com ---
19)20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26146]3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
32 [Option ID = 26145]
--- Content provided by FirstRanker.com ---
[Question ID = 6589]1. unique solution [Option ID = 26347]
2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
--- Content provided by FirstRanker.com ---
Correct Answer :-no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
--- Content provided by FirstRanker.com ---
3. 10 [Option ID = 26388]4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26259]2. 9 [Option ID = 26261]
FirstRanker.com - FirstRanker's Choice
1)
2)
--- Content provided by FirstRanker.com ---
3)4)
5)
DU BTech IT N Mathematical Innovations
Topic:- DU_J18_BTECH_Topic01
--- Content provided by FirstRanker.com ---
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
3. [Option ID = 26404]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26403]Correct Answer :-
[Option ID = 26403]
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
1. (0, 1) [Option ID = 26232]
--- Content provided by FirstRanker.com ---
2. (1, 1) [Option ID = 26234]3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
Correct Answer :-
(0, 1) [Option ID = 26232]
--- Content provided by FirstRanker.com ---
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all suchposiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
2. 12 [Option ID = 26254]
3. 20 [Option ID = 26253]
--- Content provided by FirstRanker.com ---
4. 10 [Option ID = 26251]Correct Answer :-
20 [Option ID = 26253]
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
eccentricity of the ellipse is [Question ID = 6583]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26324]2. [Option ID = 26323]
3. [Option ID = 26326]
4. [Option ID = 26325]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26325]The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26296]4. 4 [Option ID = 26297]
Correct Answer :-
4 [Option ID = 26297]
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
--- Content provided by FirstRanker.com ---
steps he is exactly three steps away from the starting point; [Question ID = 6585]1. [Option ID = 26332]
2. [Option ID = 26334]
3. [Option ID = 26333]
4. [Option ID = 26331]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
--- Content provided by FirstRanker.com ---
9)10)
4. [Option ID = 26467]
Correct Answer :-
[Option ID = 26467]
--- Content provided by FirstRanker.com ---
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.[Question ID = 6618]
1. [Option ID = 26464]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26465]3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[Option ID = 26465]
--- Content provided by FirstRanker.com ---
[Question ID = 7155]1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
3. a=1/2 [Option ID = 28614]
4. sign of a cannot be determined [Option ID = 28613]
--- Content provided by FirstRanker.com ---
Correct Answer :-a < 0 [Option ID = 28612]
11)
12)
[Question ID = 6553]
--- Content provided by FirstRanker.com ---
1. GRAPH III [Option ID = 26205]2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
4. GRAPH IV [Option ID = 26206]
Correct Answer :-
--- Content provided by FirstRanker.com ---
GRAPH I [Option ID = 26203][Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26308]Correct Answer :-
[Option ID = 26307]
13)
[Question ID = 6617]
--- Content provided by FirstRanker.com ---
1. Each colour is equally likely [Option ID = 26462]2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
4. White [Option ID = 26459]
Correct Answer :-
--- Content provided by FirstRanker.com ---
White [Option ID = 26459][Question ID = 6566]
14)
15)
16)
--- Content provided by FirstRanker.com ---
1. IMAGE II [Option ID = 26256]2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
4. IMAGE III [Option ID = 26257]
Correct Answer :-
--- Content provided by FirstRanker.com ---
IMAGE II [Option ID = 26256][Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
--- Content provided by FirstRanker.com ---
4. 25 [Option ID = 26437]Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26419]3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
--- Content provided by FirstRanker.com ---
[Question ID = 6591]1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
3. -2, -3 [Option ID = 26356]
4. -2, -32 [Option ID = 26355]
--- Content provided by FirstRanker.com ---
Correct Answer :-17)
18)
19)
20)
--- Content provided by FirstRanker.com ---
-2, -32 [Option ID = 26355][Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26143]Correct Answer :-
32 [Option ID = 26145]
[Question ID = 6589]
1. unique solution [Option ID = 26347]
--- Content provided by FirstRanker.com ---
2. no solution [Option ID = 26349]3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
--- Content provided by FirstRanker.com ---
[Question ID = 6599]1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
--- Content provided by FirstRanker.com ---
Correct Answer :-10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
--- Content provided by FirstRanker.com ---
21)22)
23)
24)
3. 8 [Option ID = 26260]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26262]Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26418]3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
--- Content provided by FirstRanker.com ---
[Question ID = 6554]1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
--- Content provided by FirstRanker.com ---
Correct Answer :-24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
--- Content provided by FirstRanker.com ---
3. ? 14 [Option ID = 26219]4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
FirstRanker.com - FirstRanker's Choice
--- Content provided by FirstRanker.com ---
1)2)
3)
4)
5)
--- Content provided by FirstRanker.com ---
DU BTech IT N Mathematical InnovationsTopic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
1. [Option ID = 26405]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26406]3. [Option ID = 26404]
4. [Option ID = 26403]
Correct Answer :-
[Option ID = 26403]
--- Content provided by FirstRanker.com ---
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
--- Content provided by FirstRanker.com ---
Correct Answer :-(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
--- Content provided by FirstRanker.com ---
2. 12 [Option ID = 26254]3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
Correct Answer :-
20 [Option ID = 26253]
--- Content provided by FirstRanker.com ---
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then theeccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
3. [Option ID = 26326]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26325]Correct Answer :-
[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)
7)
[Question ID = 6576]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26298]2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
Correct Answer :-
--- Content provided by FirstRanker.com ---
4 [Option ID = 26297]A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
2. [Option ID = 26334]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26333]4. [Option ID = 26331]
Correct Answer :-
[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26469]8)
9)
10)
4. [Option ID = 26467]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26465]
[Question ID = 7155]
1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
--- Content provided by FirstRanker.com ---
3. a=1/2 [Option ID = 28614]4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
--- Content provided by FirstRanker.com ---
12)[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
--- Content provided by FirstRanker.com ---
4. GRAPH IV [Option ID = 26206]Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26309]3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
--- Content provided by FirstRanker.com ---
13)[Question ID = 6617]
1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
--- Content provided by FirstRanker.com ---
4. White [Option ID = 26459]Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
--- Content provided by FirstRanker.com ---
15)16)
1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
--- Content provided by FirstRanker.com ---
4. IMAGE III [Option ID = 26257]Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
--- Content provided by FirstRanker.com ---
2. 50 [Option ID = 26436]3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
--- Content provided by FirstRanker.com ---
[Question ID = 6607]1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26421]
[Question ID = 6591]
1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
--- Content provided by FirstRanker.com ---
3. -2, -3 [Option ID = 26356]4. -2, -32 [Option ID = 26355]
Correct Answer :-
17)
18)
--- Content provided by FirstRanker.com ---
19)20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26146]3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
32 [Option ID = 26145]
--- Content provided by FirstRanker.com ---
[Question ID = 6589]1. unique solution [Option ID = 26347]
2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
--- Content provided by FirstRanker.com ---
Correct Answer :-no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
--- Content provided by FirstRanker.com ---
3. 10 [Option ID = 26388]4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26259]2. 9 [Option ID = 26261]
21)
22)
23)
--- Content provided by FirstRanker.com ---
24)3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
--- Content provided by FirstRanker.com ---
[Question ID = 6606]1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
--- Content provided by FirstRanker.com ---
Correct Answer :-5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26208]4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
--- Content provided by FirstRanker.com ---
1. ? 3 [Option ID = 26222]2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
--- Content provided by FirstRanker.com ---
? 3 [Option ID = 26222]25)
26)
27)
[Question ID = 6613]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26445]2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
--- Content provided by FirstRanker.com ---
6 [Option ID = 26445][Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26327]Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26129]3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
--- Content provided by FirstRanker.com ---
FirstRanker.com - FirstRanker's Choice1)
2)
3)
4)
--- Content provided by FirstRanker.com ---
5)DU BTech IT N Mathematical Innovations
Topic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26405]2. [Option ID = 26406]
3. [Option ID = 26404]
4. [Option ID = 26403]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26403]A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
--- Content provided by FirstRanker.com ---
4. (0, 0) [Option ID = 26233]Correct Answer :-
(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
--- Content provided by FirstRanker.com ---
1. 24 [Option ID = 26252]2. 12 [Option ID = 26254]
3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
Correct Answer :-
--- Content provided by FirstRanker.com ---
20 [Option ID = 26253]A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26326]4. [Option ID = 26325]
Correct Answer :-
[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
--- Content provided by FirstRanker.com ---
to the left or the right peg right.6)
7)
--- Content provided by FirstRanker.com ---
[Question ID = 6576]1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
--- Content provided by FirstRanker.com ---
Correct Answer :-4 [Option ID = 26297]
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26334]3. [Option ID = 26333]
4. [Option ID = 26331]
Correct Answer :-
[Option ID = 26331]
--- Content provided by FirstRanker.com ---
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.[Question ID = 6619]
1. [Option ID = 26468]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26470]3. [Option ID = 26469]
8)
9)
10)
--- Content provided by FirstRanker.com ---
4. [Option ID = 26467]Correct Answer :-
[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26466]Correct Answer :-
[Option ID = 26465]
[Question ID = 7155]
1. a > 0 [Option ID = 28611]
--- Content provided by FirstRanker.com ---
2. a < 0 [Option ID = 28612]3. a=1/2 [Option ID = 28614]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
--- Content provided by FirstRanker.com ---
11)12)
[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
--- Content provided by FirstRanker.com ---
3. GRAPH II [Option ID = 26204]4. GRAPH IV [Option ID = 26206]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26310]2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26307]13)
[Question ID = 6617]
1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
--- Content provided by FirstRanker.com ---
3. Gray [Option ID = 26460]4. White [Option ID = 26459]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
--- Content provided by FirstRanker.com ---
14)15)
16)
1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
--- Content provided by FirstRanker.com ---
3. IMAGE IV [Option ID = 26258]4. IMAGE III [Option ID = 26257]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
--- Content provided by FirstRanker.com ---
1. 44 [Option ID = 26435]2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
--- Content provided by FirstRanker.com ---
50 [Option ID = 26436][Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26421]Correct Answer :-
[Option ID = 26421]
[Question ID = 6591]
1. -6, -32 [Option ID = 26358]
--- Content provided by FirstRanker.com ---
2. -6, 3 [Option ID = 26357]3. -2, -3 [Option ID = 26356]
4. -2, -32 [Option ID = 26355]
Correct Answer :-
17)
--- Content provided by FirstRanker.com ---
18)19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
--- Content provided by FirstRanker.com ---
1. 32 [Option ID = 26145]2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
--- Content provided by FirstRanker.com ---
32 [Option ID = 26145][Question ID = 6589]
1. unique solution [Option ID = 26347]
2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
--- Content provided by FirstRanker.com ---
4. Exactly two solutions [Option ID = 26348]Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26387]3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
--- Content provided by FirstRanker.com ---
[Question ID = 6567]1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
--- Content provided by FirstRanker.com ---
23)24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
--- Content provided by FirstRanker.com ---
4 [Option ID = 26262][Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26415]Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
--- Content provided by FirstRanker.com ---
2. 24 [Option ID = 26207]3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
--- Content provided by FirstRanker.com ---
[Question ID = 6557]1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
--- Content provided by FirstRanker.com ---
Correct Answer :-? 3 [Option ID = 26222]
25)
26)
27)
--- Content provided by FirstRanker.com ---
[Question ID = 6613]1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
--- Content provided by FirstRanker.com ---
Correct Answer :-6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26328]4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26128]2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
--- Content provided by FirstRanker.com ---
8 [Option ID = 26127]28)
29)
30)
[Question ID = 6536]
--- Content provided by FirstRanker.com ---
1. 2/3 [Option ID = 26137]2. 1/3 [Option ID = 26135]
3. ? 1/3 [Option ID = 26136]
4. ? 2/3 [Option ID = 26138]
Correct Answer :-
--- Content provided by FirstRanker.com ---
? 1/3 [Option ID = 26136][Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
--- Content provided by FirstRanker.com ---
4. 73 [Option ID = 26440]Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26383]3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
--- Content provided by FirstRanker.com ---
[Question ID = 6533]1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26123]
FirstRanker.com - FirstRanker's Choice
1)
2)
--- Content provided by FirstRanker.com ---
3)4)
5)
DU BTech IT N Mathematical Innovations
Topic:- DU_J18_BTECH_Topic01
--- Content provided by FirstRanker.com ---
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
3. [Option ID = 26404]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26403]Correct Answer :-
[Option ID = 26403]
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
1. (0, 1) [Option ID = 26232]
--- Content provided by FirstRanker.com ---
2. (1, 1) [Option ID = 26234]3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
Correct Answer :-
(0, 1) [Option ID = 26232]
--- Content provided by FirstRanker.com ---
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all suchposiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
2. 12 [Option ID = 26254]
3. 20 [Option ID = 26253]
--- Content provided by FirstRanker.com ---
4. 10 [Option ID = 26251]Correct Answer :-
20 [Option ID = 26253]
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
eccentricity of the ellipse is [Question ID = 6583]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26324]2. [Option ID = 26323]
3. [Option ID = 26326]
4. [Option ID = 26325]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26325]The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26296]4. 4 [Option ID = 26297]
Correct Answer :-
4 [Option ID = 26297]
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
--- Content provided by FirstRanker.com ---
steps he is exactly three steps away from the starting point; [Question ID = 6585]1. [Option ID = 26332]
2. [Option ID = 26334]
3. [Option ID = 26333]
4. [Option ID = 26331]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
--- Content provided by FirstRanker.com ---
9)10)
4. [Option ID = 26467]
Correct Answer :-
[Option ID = 26467]
--- Content provided by FirstRanker.com ---
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.[Question ID = 6618]
1. [Option ID = 26464]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26465]3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[Option ID = 26465]
--- Content provided by FirstRanker.com ---
[Question ID = 7155]1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
3. a=1/2 [Option ID = 28614]
4. sign of a cannot be determined [Option ID = 28613]
--- Content provided by FirstRanker.com ---
Correct Answer :-a < 0 [Option ID = 28612]
11)
12)
[Question ID = 6553]
--- Content provided by FirstRanker.com ---
1. GRAPH III [Option ID = 26205]2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
4. GRAPH IV [Option ID = 26206]
Correct Answer :-
--- Content provided by FirstRanker.com ---
GRAPH I [Option ID = 26203][Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26308]Correct Answer :-
[Option ID = 26307]
13)
[Question ID = 6617]
--- Content provided by FirstRanker.com ---
1. Each colour is equally likely [Option ID = 26462]2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
4. White [Option ID = 26459]
Correct Answer :-
--- Content provided by FirstRanker.com ---
White [Option ID = 26459][Question ID = 6566]
14)
15)
16)
--- Content provided by FirstRanker.com ---
1. IMAGE II [Option ID = 26256]2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
4. IMAGE III [Option ID = 26257]
Correct Answer :-
--- Content provided by FirstRanker.com ---
IMAGE II [Option ID = 26256][Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
--- Content provided by FirstRanker.com ---
4. 25 [Option ID = 26437]Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26419]3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
--- Content provided by FirstRanker.com ---
[Question ID = 6591]1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
3. -2, -3 [Option ID = 26356]
4. -2, -32 [Option ID = 26355]
--- Content provided by FirstRanker.com ---
Correct Answer :-17)
18)
19)
20)
--- Content provided by FirstRanker.com ---
-2, -32 [Option ID = 26355][Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26143]Correct Answer :-
32 [Option ID = 26145]
[Question ID = 6589]
1. unique solution [Option ID = 26347]
--- Content provided by FirstRanker.com ---
2. no solution [Option ID = 26349]3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
--- Content provided by FirstRanker.com ---
[Question ID = 6599]1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
--- Content provided by FirstRanker.com ---
Correct Answer :-10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
--- Content provided by FirstRanker.com ---
21)22)
23)
24)
3. 8 [Option ID = 26260]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26262]Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26418]3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
--- Content provided by FirstRanker.com ---
[Question ID = 6554]1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
--- Content provided by FirstRanker.com ---
Correct Answer :-24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
--- Content provided by FirstRanker.com ---
3. ? 14 [Option ID = 26219]4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
--- Content provided by FirstRanker.com ---
26)27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
--- Content provided by FirstRanker.com ---
3. 5 [Option ID = 26444]4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26329]2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26329][Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26130]Correct Answer :-
8 [Option ID = 26127]
28)
29)
--- Content provided by FirstRanker.com ---
30)[Question ID = 6536]
1. 2/3 [Option ID = 26137]
2. 1/3 [Option ID = 26135]
3. ? 1/3 [Option ID = 26136]
--- Content provided by FirstRanker.com ---
4. ? 2/3 [Option ID = 26138]Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
--- Content provided by FirstRanker.com ---
2. 21 [Option ID = 26441]3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
--- Content provided by FirstRanker.com ---
[Question ID = 6598]1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
--- Content provided by FirstRanker.com ---
Correct Answer :-2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26125]4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
--- Content provided by FirstRanker.com ---
32)33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26429]3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
--- Content provided by FirstRanker.com ---
[Question ID = 6546]1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
--- Content provided by FirstRanker.com ---
Correct Answer :-3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
--- Content provided by FirstRanker.com ---
3. 135 [Option ID = 26399]4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
--- Content provided by FirstRanker.com ---
1. 80 [Option ID = 26368]2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
--- Content provided by FirstRanker.com ---
80 [Option ID = 26368]FirstRanker.com - FirstRanker's Choice
1)
2)
3)
--- Content provided by FirstRanker.com ---
4)5)
DU BTech IT N Mathematical Innovations
Topic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
--- Content provided by FirstRanker.com ---
[Question ID = 6603]1. [Option ID = 26405]
2. [Option ID = 26406]
3. [Option ID = 26404]
4. [Option ID = 26403]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26403]
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
--- Content provided by FirstRanker.com ---
3. (1, 0) [Option ID = 26231]4. (0, 0) [Option ID = 26233]
Correct Answer :-
(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
--- Content provided by FirstRanker.com ---
posiible circles is [Question ID = 6565]1. 24 [Option ID = 26252]
2. 12 [Option ID = 26254]
3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
--- Content provided by FirstRanker.com ---
Correct Answer :-20 [Option ID = 26253]
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26323]3. [Option ID = 26326]
4. [Option ID = 26325]
Correct Answer :-
[Option ID = 26325]
--- Content provided by FirstRanker.com ---
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce eitherto the left or the right peg right.
6)
--- Content provided by FirstRanker.com ---
7)[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26297]Correct Answer :-
4 [Option ID = 26297]
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26332]2. [Option ID = 26334]
3. [Option ID = 26333]
4. [Option ID = 26331]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26331]In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
[Question ID = 6619]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26468]2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
--- Content provided by FirstRanker.com ---
10)4. [Option ID = 26467]
Correct Answer :-
[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26463]4. [Option ID = 26466]
Correct Answer :-
[Option ID = 26465]
[Question ID = 7155]
--- Content provided by FirstRanker.com ---
1. a > 0 [Option ID = 28611]2. a < 0 [Option ID = 28612]
3. a=1/2 [Option ID = 28614]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
--- Content provided by FirstRanker.com ---
a < 0 [Option ID = 28612]11)
12)
[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
--- Content provided by FirstRanker.com ---
2. GRAPH I [Option ID = 26203]3. GRAPH II [Option ID = 26204]
4. GRAPH IV [Option ID = 26206]
Correct Answer :-
GRAPH I [Option ID = 26203]
--- Content provided by FirstRanker.com ---
[Question ID = 6579]1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26307]
13)
[Question ID = 6617]
1. Each colour is equally likely [Option ID = 26462]
--- Content provided by FirstRanker.com ---
2. Black [Option ID = 26461]3. Gray [Option ID = 26460]
4. White [Option ID = 26459]
Correct Answer :-
White [Option ID = 26459]
--- Content provided by FirstRanker.com ---
[Question ID = 6566]14)
15)
16)
1. IMAGE II [Option ID = 26256]
--- Content provided by FirstRanker.com ---
2. IMAGE I [Option ID = 26255]3. IMAGE IV [Option ID = 26258]
4. IMAGE III [Option ID = 26257]
Correct Answer :-
IMAGE II [Option ID = 26256]
--- Content provided by FirstRanker.com ---
[Question ID = 6611]1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
--- Content provided by FirstRanker.com ---
Correct Answer :-50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26420]4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[Question ID = 6591]
--- Content provided by FirstRanker.com ---
1. -6, -32 [Option ID = 26358]2. -6, 3 [Option ID = 26357]
3. -2, -3 [Option ID = 26356]
4. -2, -32 [Option ID = 26355]
Correct Answer :-
--- Content provided by FirstRanker.com ---
17)18)
19)
20)
-2, -32 [Option ID = 26355]
--- Content provided by FirstRanker.com ---
[Question ID = 6538]1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
--- Content provided by FirstRanker.com ---
Correct Answer :-32 [Option ID = 26145]
[Question ID = 6589]
1. unique solution [Option ID = 26347]
2. no solution [Option ID = 26349]
--- Content provided by FirstRanker.com ---
3. more than two solutions [Option ID = 26350]4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
--- Content provided by FirstRanker.com ---
1. 12 [Option ID = 26389]2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
--- Content provided by FirstRanker.com ---
10 [Option ID = 26388][Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
--- Content provided by FirstRanker.com ---
22)23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
--- Content provided by FirstRanker.com ---
Correct Answer :-4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26417]4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26209]2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
--- Content provided by FirstRanker.com ---
24 [Option ID = 26207][Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
--- Content provided by FirstRanker.com ---
4. ? 7 [Option ID = 26220]Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
--- Content provided by FirstRanker.com ---
27)[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26443]Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26330]3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
--- Content provided by FirstRanker.com ---
[Question ID = 6534]1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
--- Content provided by FirstRanker.com ---
Correct Answer :-8 [Option ID = 26127]
28)
29)
30)
--- Content provided by FirstRanker.com ---
[Question ID = 6536]1. 2/3 [Option ID = 26137]
2. 1/3 [Option ID = 26135]
3. ? 1/3 [Option ID = 26136]
4. ? 2/3 [Option ID = 26138]
--- Content provided by FirstRanker.com ---
Correct Answer :-? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
--- Content provided by FirstRanker.com ---
3. 26 [Option ID = 26442]4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26385]2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
--- Content provided by FirstRanker.com ---
2 [Option ID = 26385][Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26123]Correct Answer :-
[Option ID = 26123]
31)
32)
--- Content provided by FirstRanker.com ---
33)34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26430]4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26176]2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
--- Content provided by FirstRanker.com ---
3 [Option ID = 26177][Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
--- Content provided by FirstRanker.com ---
4. 136 [Option ID = 26400]Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
--- Content provided by FirstRanker.com ---
2. 85 [Option ID = 26369]3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
--- Content provided by FirstRanker.com ---
35)36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
--- Content provided by FirstRanker.com ---
2. 12 [Option ID = 26291]3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
--- Content provided by FirstRanker.com ---
A x B x C x E = [Question ID = 6616]
1. 240 [Option ID = 26457]
2. 70 [Option ID = 26458]
--- Content provided by FirstRanker.com ---
3. 48 [Option ID = 26456]4. 40 [Option ID = 26455]
Correct Answer :-
40 [Option ID = 26455]
FirstRanker.com - FirstRanker's Choice
--- Content provided by FirstRanker.com ---
1)2)
3)
4)
5)
--- Content provided by FirstRanker.com ---
DU BTech IT N Mathematical InnovationsTopic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
1. [Option ID = 26405]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26406]3. [Option ID = 26404]
4. [Option ID = 26403]
Correct Answer :-
[Option ID = 26403]
--- Content provided by FirstRanker.com ---
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
--- Content provided by FirstRanker.com ---
Correct Answer :-(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
--- Content provided by FirstRanker.com ---
2. 12 [Option ID = 26254]3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
Correct Answer :-
20 [Option ID = 26253]
--- Content provided by FirstRanker.com ---
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then theeccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
3. [Option ID = 26326]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26325]Correct Answer :-
[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)
7)
[Question ID = 6576]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26298]2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
Correct Answer :-
--- Content provided by FirstRanker.com ---
4 [Option ID = 26297]A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
2. [Option ID = 26334]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26333]4. [Option ID = 26331]
Correct Answer :-
[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26469]8)
9)
10)
4. [Option ID = 26467]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26465]
[Question ID = 7155]
1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
--- Content provided by FirstRanker.com ---
3. a=1/2 [Option ID = 28614]4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
--- Content provided by FirstRanker.com ---
12)[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
--- Content provided by FirstRanker.com ---
4. GRAPH IV [Option ID = 26206]Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26309]3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
--- Content provided by FirstRanker.com ---
13)[Question ID = 6617]
1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
--- Content provided by FirstRanker.com ---
4. White [Option ID = 26459]Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
--- Content provided by FirstRanker.com ---
15)16)
1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
--- Content provided by FirstRanker.com ---
4. IMAGE III [Option ID = 26257]Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
--- Content provided by FirstRanker.com ---
2. 50 [Option ID = 26436]3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
--- Content provided by FirstRanker.com ---
[Question ID = 6607]1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26421]
[Question ID = 6591]
1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
--- Content provided by FirstRanker.com ---
3. -2, -3 [Option ID = 26356]4. -2, -32 [Option ID = 26355]
Correct Answer :-
17)
18)
--- Content provided by FirstRanker.com ---
19)20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26146]3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
32 [Option ID = 26145]
--- Content provided by FirstRanker.com ---
[Question ID = 6589]1. unique solution [Option ID = 26347]
2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
--- Content provided by FirstRanker.com ---
Correct Answer :-no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
--- Content provided by FirstRanker.com ---
3. 10 [Option ID = 26388]4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26259]2. 9 [Option ID = 26261]
21)
22)
23)
--- Content provided by FirstRanker.com ---
24)3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
--- Content provided by FirstRanker.com ---
[Question ID = 6606]1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
--- Content provided by FirstRanker.com ---
Correct Answer :-5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26208]4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
--- Content provided by FirstRanker.com ---
1. ? 3 [Option ID = 26222]2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
--- Content provided by FirstRanker.com ---
? 3 [Option ID = 26222]25)
26)
27)
[Question ID = 6613]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26445]2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
--- Content provided by FirstRanker.com ---
6 [Option ID = 26445][Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26327]Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26129]3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
--- Content provided by FirstRanker.com ---
28)29)
30)
[Question ID = 6536]
1. 2/3 [Option ID = 26137]
--- Content provided by FirstRanker.com ---
2. 1/3 [Option ID = 26135]3. ? 1/3 [Option ID = 26136]
4. ? 2/3 [Option ID = 26138]
Correct Answer :-
? 1/3 [Option ID = 26136]
--- Content provided by FirstRanker.com ---
[Question ID = 6612]1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
--- Content provided by FirstRanker.com ---
Correct Answer :-21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
--- Content provided by FirstRanker.com ---
3. 1 [Option ID = 26384]4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26126]2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26123]31)
32)
33)
34)
--- Content provided by FirstRanker.com ---
[Question ID = 6609]1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26177]4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
--- Content provided by FirstRanker.com ---
1. 455 [Option ID = 26401]2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
--- Content provided by FirstRanker.com ---
136 [Option ID = 26400][Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
--- Content provided by FirstRanker.com ---
4. 83 [Option ID = 26370]Correct Answer :-
80 [Option ID = 26368]
35)
36)
--- Content provided by FirstRanker.com ---
37)[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
--- Content provided by FirstRanker.com ---
4. 17 [Option ID = 26294]Correct Answer :-
11 [Option ID = 26292]
--- Content provided by FirstRanker.com ---
A x B x C x E = [Question ID = 6616]1. 240 [Option ID = 26457]
2. 70 [Option ID = 26458]
3. 48 [Option ID = 26456]
4. 40 [Option ID = 26455]
--- Content provided by FirstRanker.com ---
Correct Answer :-40 [Option ID = 26455]
38)
39)
40)
--- Content provided by FirstRanker.com ---
A + B + D + E = [Question ID = 6615]
1. 15 [Option ID = 26454]
2. 18 [Option ID = 26451]
--- Content provided by FirstRanker.com ---
3. 13 [Option ID = 26452]4. 16 [Option ID = 26453]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26248]2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26250][Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
--- Content provided by FirstRanker.com ---
4. -1 [Option ID = 26134]Correct Answer :-
42926 [Option ID = 26132]
FirstRanker.com - FirstRanker's Choice
1)
--- Content provided by FirstRanker.com ---
2)3)
4)
5)
DU BTech IT N Mathematical Innovations
--- Content provided by FirstRanker.com ---
Topic:- DU_J18_BTECH_Topic01the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26404]4. [Option ID = 26403]
Correct Answer :-
[Option ID = 26403]
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
--- Content provided by FirstRanker.com ---
1. (0, 1) [Option ID = 26232]2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
Correct Answer :-
--- Content provided by FirstRanker.com ---
(0, 1) [Option ID = 26232]A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
2. 12 [Option ID = 26254]
--- Content provided by FirstRanker.com ---
3. 20 [Option ID = 26253]4. 10 [Option ID = 26251]
Correct Answer :-
20 [Option ID = 26253]
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
--- Content provided by FirstRanker.com ---
eccentricity of the ellipse is [Question ID = 6583]1. [Option ID = 26324]
2. [Option ID = 26323]
3. [Option ID = 26326]
4. [Option ID = 26325]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
--- Content provided by FirstRanker.com ---
2. 1 [Option ID = 26295]3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
Correct Answer :-
4 [Option ID = 26297]
--- Content provided by FirstRanker.com ---
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
2. [Option ID = 26334]
3. [Option ID = 26333]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26331]Correct Answer :-
[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
--- Content provided by FirstRanker.com ---
8)9)
10)
4. [Option ID = 26467]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26467]In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
[Question ID = 6618]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26464]2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26465][Question ID = 7155]
1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
3. a=1/2 [Option ID = 28614]
--- Content provided by FirstRanker.com ---
4. sign of a cannot be determined [Option ID = 28613]Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
--- Content provided by FirstRanker.com ---
[Question ID = 6553]1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
4. GRAPH IV [Option ID = 26206]
--- Content provided by FirstRanker.com ---
Correct Answer :-GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26307]4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
--- Content provided by FirstRanker.com ---
[Question ID = 6617]1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
4. White [Option ID = 26459]
--- Content provided by FirstRanker.com ---
Correct Answer :-White [Option ID = 26459]
[Question ID = 6566]
14)
15)
--- Content provided by FirstRanker.com ---
16)1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
4. IMAGE III [Option ID = 26257]
--- Content provided by FirstRanker.com ---
Correct Answer :-IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
--- Content provided by FirstRanker.com ---
3. 45 [Option ID = 26438]4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26422]2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26421][Question ID = 6591]
1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
3. -2, -3 [Option ID = 26356]
--- Content provided by FirstRanker.com ---
4. -2, -32 [Option ID = 26355]Correct Answer :-
17)
18)
19)
--- Content provided by FirstRanker.com ---
20)-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26144]4. 4 [Option ID = 26143]
Correct Answer :-
32 [Option ID = 26145]
[Question ID = 6589]
--- Content provided by FirstRanker.com ---
1. unique solution [Option ID = 26347]2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
--- Content provided by FirstRanker.com ---
no solution [Option ID = 26349][Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
--- Content provided by FirstRanker.com ---
4. 8 [Option ID = 26390]Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
--- Content provided by FirstRanker.com ---
2. 9 [Option ID = 26261]21)
22)
23)
24)
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26260]4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26416]2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
--- Content provided by FirstRanker.com ---
5 [Option ID = 26418][Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
--- Content provided by FirstRanker.com ---
4. 40 [Option ID = 26210]Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
--- Content provided by FirstRanker.com ---
2. ? 6 [Option ID = 26221]3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
--- Content provided by FirstRanker.com ---
25)26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
--- Content provided by FirstRanker.com ---
2. 7 [Option ID = 26446]3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
--- Content provided by FirstRanker.com ---
[Question ID = 6584]1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26127]4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
--- Content provided by FirstRanker.com ---
29)30)
[Question ID = 6536]
1. 2/3 [Option ID = 26137]
2. 1/3 [Option ID = 26135]
--- Content provided by FirstRanker.com ---
3. ? 1/3 [Option ID = 26136]4. ? 2/3 [Option ID = 26138]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
--- Content provided by FirstRanker.com ---
1. 18 [Option ID = 26439]2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
--- Content provided by FirstRanker.com ---
21 [Option ID = 26441][Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
--- Content provided by FirstRanker.com ---
4. 3 [Option ID = 26386]Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26124]3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
--- Content provided by FirstRanker.com ---
31)32)
33)
34)
[Question ID = 6609]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26428]2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26427][Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26178]Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
--- Content provided by FirstRanker.com ---
2. 105 [Option ID = 26402]3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
--- Content provided by FirstRanker.com ---
[Question ID = 6594]1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
--- Content provided by FirstRanker.com ---
Correct Answer :-80 [Option ID = 26368]
35)
36)
37)
--- Content provided by FirstRanker.com ---
[Question ID = 6575]1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
--- Content provided by FirstRanker.com ---
Correct Answer :-11 [Option ID = 26292]
A x B x C x E = [Question ID = 6616]
--- Content provided by FirstRanker.com ---
1. 240 [Option ID = 26457]2. 70 [Option ID = 26458]
3. 48 [Option ID = 26456]
4. 40 [Option ID = 26455]
Correct Answer :-
--- Content provided by FirstRanker.com ---
40 [Option ID = 26455]38)
39)
40)
--- Content provided by FirstRanker.com ---
A + B + D + E = [Question ID = 6615]
1. 15 [Option ID = 26454]
2. 18 [Option ID = 26451]
3. 13 [Option ID = 26452]
--- Content provided by FirstRanker.com ---
4. 16 [Option ID = 26453]Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26247]3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
--- Content provided by FirstRanker.com ---
[Question ID = 6535]1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
--- Content provided by FirstRanker.com ---
Correct Answer :-42926 [Option ID = 26132]
41)
42)
[Question ID = 6569]
--- Content provided by FirstRanker.com ---
1. 7:2 [Option ID = 26267]2. 6:1 [Option ID = 26270]
3. 5:1 [Option ID = 26269]
4. 9:2 [Option ID = 26268]
Correct Answer :-
--- Content provided by FirstRanker.com ---
9:2 [Option ID = 26268][Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
--- Content provided by FirstRanker.com ---
4. 32 [Option ID = 26190]Correct Answer :-
128 [Option ID = 26189]
[Question ID = 6570]
1. The upper right corner [Option ID = 26274]
--- Content provided by FirstRanker.com ---
2. The upper left corner [Option ID = 26272]3. The lower right corner [Option ID = 26273]
FirstRanker.com - FirstRanker's Choice
1)
2)
--- Content provided by FirstRanker.com ---
3)4)
5)
DU BTech IT N Mathematical Innovations
Topic:- DU_J18_BTECH_Topic01
--- Content provided by FirstRanker.com ---
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
3. [Option ID = 26404]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26403]Correct Answer :-
[Option ID = 26403]
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
1. (0, 1) [Option ID = 26232]
--- Content provided by FirstRanker.com ---
2. (1, 1) [Option ID = 26234]3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
Correct Answer :-
(0, 1) [Option ID = 26232]
--- Content provided by FirstRanker.com ---
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all suchposiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
2. 12 [Option ID = 26254]
3. 20 [Option ID = 26253]
--- Content provided by FirstRanker.com ---
4. 10 [Option ID = 26251]Correct Answer :-
20 [Option ID = 26253]
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
eccentricity of the ellipse is [Question ID = 6583]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26324]2. [Option ID = 26323]
3. [Option ID = 26326]
4. [Option ID = 26325]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26325]The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26296]4. 4 [Option ID = 26297]
Correct Answer :-
4 [Option ID = 26297]
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
--- Content provided by FirstRanker.com ---
steps he is exactly three steps away from the starting point; [Question ID = 6585]1. [Option ID = 26332]
2. [Option ID = 26334]
3. [Option ID = 26333]
4. [Option ID = 26331]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
--- Content provided by FirstRanker.com ---
9)10)
4. [Option ID = 26467]
Correct Answer :-
[Option ID = 26467]
--- Content provided by FirstRanker.com ---
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.[Question ID = 6618]
1. [Option ID = 26464]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26465]3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[Option ID = 26465]
--- Content provided by FirstRanker.com ---
[Question ID = 7155]1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
3. a=1/2 [Option ID = 28614]
4. sign of a cannot be determined [Option ID = 28613]
--- Content provided by FirstRanker.com ---
Correct Answer :-a < 0 [Option ID = 28612]
11)
12)
[Question ID = 6553]
--- Content provided by FirstRanker.com ---
1. GRAPH III [Option ID = 26205]2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
4. GRAPH IV [Option ID = 26206]
Correct Answer :-
--- Content provided by FirstRanker.com ---
GRAPH I [Option ID = 26203][Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26308]Correct Answer :-
[Option ID = 26307]
13)
[Question ID = 6617]
--- Content provided by FirstRanker.com ---
1. Each colour is equally likely [Option ID = 26462]2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
4. White [Option ID = 26459]
Correct Answer :-
--- Content provided by FirstRanker.com ---
White [Option ID = 26459][Question ID = 6566]
14)
15)
16)
--- Content provided by FirstRanker.com ---
1. IMAGE II [Option ID = 26256]2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
4. IMAGE III [Option ID = 26257]
Correct Answer :-
--- Content provided by FirstRanker.com ---
IMAGE II [Option ID = 26256][Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
--- Content provided by FirstRanker.com ---
4. 25 [Option ID = 26437]Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26419]3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
--- Content provided by FirstRanker.com ---
[Question ID = 6591]1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
3. -2, -3 [Option ID = 26356]
4. -2, -32 [Option ID = 26355]
--- Content provided by FirstRanker.com ---
Correct Answer :-17)
18)
19)
20)
--- Content provided by FirstRanker.com ---
-2, -32 [Option ID = 26355][Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26143]Correct Answer :-
32 [Option ID = 26145]
[Question ID = 6589]
1. unique solution [Option ID = 26347]
--- Content provided by FirstRanker.com ---
2. no solution [Option ID = 26349]3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
--- Content provided by FirstRanker.com ---
[Question ID = 6599]1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
--- Content provided by FirstRanker.com ---
Correct Answer :-10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
--- Content provided by FirstRanker.com ---
21)22)
23)
24)
3. 8 [Option ID = 26260]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26262]Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26418]3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
--- Content provided by FirstRanker.com ---
[Question ID = 6554]1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
--- Content provided by FirstRanker.com ---
Correct Answer :-24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
--- Content provided by FirstRanker.com ---
3. ? 14 [Option ID = 26219]4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
--- Content provided by FirstRanker.com ---
26)27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
--- Content provided by FirstRanker.com ---
3. 5 [Option ID = 26444]4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26329]2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26329][Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26130]Correct Answer :-
8 [Option ID = 26127]
28)
29)
--- Content provided by FirstRanker.com ---
30)[Question ID = 6536]
1. 2/3 [Option ID = 26137]
2. 1/3 [Option ID = 26135]
3. ? 1/3 [Option ID = 26136]
--- Content provided by FirstRanker.com ---
4. ? 2/3 [Option ID = 26138]Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
--- Content provided by FirstRanker.com ---
2. 21 [Option ID = 26441]3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
--- Content provided by FirstRanker.com ---
[Question ID = 6598]1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
--- Content provided by FirstRanker.com ---
Correct Answer :-2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26125]4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
--- Content provided by FirstRanker.com ---
32)33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26429]3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
--- Content provided by FirstRanker.com ---
[Question ID = 6546]1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
--- Content provided by FirstRanker.com ---
Correct Answer :-3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
--- Content provided by FirstRanker.com ---
3. 135 [Option ID = 26399]4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
--- Content provided by FirstRanker.com ---
1. 80 [Option ID = 26368]2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
--- Content provided by FirstRanker.com ---
80 [Option ID = 26368]35)
36)
37)
[Question ID = 6575]
--- Content provided by FirstRanker.com ---
1. 11 [Option ID = 26292]2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
--- Content provided by FirstRanker.com ---
11 [Option ID = 26292]A x B x C x E = [Question ID = 6616]
1. 240 [Option ID = 26457]
--- Content provided by FirstRanker.com ---
2. 70 [Option ID = 26458]3. 48 [Option ID = 26456]
4. 40 [Option ID = 26455]
Correct Answer :-
40 [Option ID = 26455]
--- Content provided by FirstRanker.com ---
38)39)
40)
--- Content provided by FirstRanker.com ---
A + B + D + E = [Question ID = 6615]1. 15 [Option ID = 26454]
2. 18 [Option ID = 26451]
3. 13 [Option ID = 26452]
4. 16 [Option ID = 26453]
--- Content provided by FirstRanker.com ---
Correct Answer :-13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26250]4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
--- Content provided by FirstRanker.com ---
1. 21926 [Option ID = 26131]2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
--- Content provided by FirstRanker.com ---
42926 [Option ID = 26132]41)
42)
[Question ID = 6569]
1. 7:2 [Option ID = 26267]
--- Content provided by FirstRanker.com ---
2. 6:1 [Option ID = 26270]3. 5:1 [Option ID = 26269]
4. 9:2 [Option ID = 26268]
Correct Answer :-
9:2 [Option ID = 26268]
--- Content provided by FirstRanker.com ---
[Question ID = 6549]1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
--- Content provided by FirstRanker.com ---
Correct Answer :-128 [Option ID = 26189]
[Question ID = 6570]
1. The upper right corner [Option ID = 26274]
2. The upper left corner [Option ID = 26272]
--- Content provided by FirstRanker.com ---
3. The lower right corner [Option ID = 26273]43)
44)
45)
4. The lower left corner [Option ID = 26271]
--- Content provided by FirstRanker.com ---
Correct Answer :-The lower right corner [Option ID = 26273]
[Question ID = 6614]
1. 6 [Option ID = 26447]
2. 9 [Option ID = 26450]
--- Content provided by FirstRanker.com ---
3. 7 [Option ID = 26448]4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26181]2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
--- Content provided by FirstRanker.com ---
4 [Option ID = 26180]FirstRanker.com - FirstRanker's Choice
1)
2)
3)
--- Content provided by FirstRanker.com ---
4)5)
DU BTech IT N Mathematical Innovations
Topic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
--- Content provided by FirstRanker.com ---
[Question ID = 6603]1. [Option ID = 26405]
2. [Option ID = 26406]
3. [Option ID = 26404]
4. [Option ID = 26403]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26403]
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
--- Content provided by FirstRanker.com ---
3. (1, 0) [Option ID = 26231]4. (0, 0) [Option ID = 26233]
Correct Answer :-
(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
--- Content provided by FirstRanker.com ---
posiible circles is [Question ID = 6565]1. 24 [Option ID = 26252]
2. 12 [Option ID = 26254]
3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
--- Content provided by FirstRanker.com ---
Correct Answer :-20 [Option ID = 26253]
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26323]3. [Option ID = 26326]
4. [Option ID = 26325]
Correct Answer :-
[Option ID = 26325]
--- Content provided by FirstRanker.com ---
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce eitherto the left or the right peg right.
6)
--- Content provided by FirstRanker.com ---
7)[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26297]Correct Answer :-
4 [Option ID = 26297]
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26332]2. [Option ID = 26334]
3. [Option ID = 26333]
4. [Option ID = 26331]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26331]In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
[Question ID = 6619]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26468]2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
--- Content provided by FirstRanker.com ---
10)4. [Option ID = 26467]
Correct Answer :-
[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26463]4. [Option ID = 26466]
Correct Answer :-
[Option ID = 26465]
[Question ID = 7155]
--- Content provided by FirstRanker.com ---
1. a > 0 [Option ID = 28611]2. a < 0 [Option ID = 28612]
3. a=1/2 [Option ID = 28614]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
--- Content provided by FirstRanker.com ---
a < 0 [Option ID = 28612]11)
12)
[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
--- Content provided by FirstRanker.com ---
2. GRAPH I [Option ID = 26203]3. GRAPH II [Option ID = 26204]
4. GRAPH IV [Option ID = 26206]
Correct Answer :-
GRAPH I [Option ID = 26203]
--- Content provided by FirstRanker.com ---
[Question ID = 6579]1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26307]
13)
[Question ID = 6617]
1. Each colour is equally likely [Option ID = 26462]
--- Content provided by FirstRanker.com ---
2. Black [Option ID = 26461]3. Gray [Option ID = 26460]
4. White [Option ID = 26459]
Correct Answer :-
White [Option ID = 26459]
--- Content provided by FirstRanker.com ---
[Question ID = 6566]14)
15)
16)
1. IMAGE II [Option ID = 26256]
--- Content provided by FirstRanker.com ---
2. IMAGE I [Option ID = 26255]3. IMAGE IV [Option ID = 26258]
4. IMAGE III [Option ID = 26257]
Correct Answer :-
IMAGE II [Option ID = 26256]
--- Content provided by FirstRanker.com ---
[Question ID = 6611]1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
--- Content provided by FirstRanker.com ---
Correct Answer :-50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26420]4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[Question ID = 6591]
--- Content provided by FirstRanker.com ---
1. -6, -32 [Option ID = 26358]2. -6, 3 [Option ID = 26357]
3. -2, -3 [Option ID = 26356]
4. -2, -32 [Option ID = 26355]
Correct Answer :-
--- Content provided by FirstRanker.com ---
17)18)
19)
20)
-2, -32 [Option ID = 26355]
--- Content provided by FirstRanker.com ---
[Question ID = 6538]1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
--- Content provided by FirstRanker.com ---
Correct Answer :-32 [Option ID = 26145]
[Question ID = 6589]
1. unique solution [Option ID = 26347]
2. no solution [Option ID = 26349]
--- Content provided by FirstRanker.com ---
3. more than two solutions [Option ID = 26350]4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
--- Content provided by FirstRanker.com ---
1. 12 [Option ID = 26389]2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
--- Content provided by FirstRanker.com ---
10 [Option ID = 26388][Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
--- Content provided by FirstRanker.com ---
22)23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
--- Content provided by FirstRanker.com ---
Correct Answer :-4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26417]4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26209]2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
--- Content provided by FirstRanker.com ---
24 [Option ID = 26207][Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
--- Content provided by FirstRanker.com ---
4. ? 7 [Option ID = 26220]Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
--- Content provided by FirstRanker.com ---
27)[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26443]Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26330]3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
--- Content provided by FirstRanker.com ---
[Question ID = 6534]1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
--- Content provided by FirstRanker.com ---
Correct Answer :-8 [Option ID = 26127]
28)
29)
30)
--- Content provided by FirstRanker.com ---
[Question ID = 6536]1. 2/3 [Option ID = 26137]
2. 1/3 [Option ID = 26135]
3. ? 1/3 [Option ID = 26136]
4. ? 2/3 [Option ID = 26138]
--- Content provided by FirstRanker.com ---
Correct Answer :-? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
--- Content provided by FirstRanker.com ---
3. 26 [Option ID = 26442]4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26385]2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
--- Content provided by FirstRanker.com ---
2 [Option ID = 26385][Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26123]Correct Answer :-
[Option ID = 26123]
31)
32)
--- Content provided by FirstRanker.com ---
33)34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26430]4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26176]2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
--- Content provided by FirstRanker.com ---
3 [Option ID = 26177][Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
--- Content provided by FirstRanker.com ---
4. 136 [Option ID = 26400]Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
--- Content provided by FirstRanker.com ---
2. 85 [Option ID = 26369]3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
--- Content provided by FirstRanker.com ---
35)36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
--- Content provided by FirstRanker.com ---
2. 12 [Option ID = 26291]3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
--- Content provided by FirstRanker.com ---
A x B x C x E = [Question ID = 6616]
1. 240 [Option ID = 26457]
2. 70 [Option ID = 26458]
--- Content provided by FirstRanker.com ---
3. 48 [Option ID = 26456]4. 40 [Option ID = 26455]
Correct Answer :-
40 [Option ID = 26455]
38)
--- Content provided by FirstRanker.com ---
39)40)
A + B + D + E = [Question ID = 6615]
--- Content provided by FirstRanker.com ---
1. 15 [Option ID = 26454]2. 18 [Option ID = 26451]
3. 13 [Option ID = 26452]
4. 16 [Option ID = 26453]
Correct Answer :-
--- Content provided by FirstRanker.com ---
13 [Option ID = 26452][Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26249]Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
--- Content provided by FirstRanker.com ---
2. 42926 [Option ID = 26132]3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
--- Content provided by FirstRanker.com ---
41)42)
[Question ID = 6569]
1. 7:2 [Option ID = 26267]
2. 6:1 [Option ID = 26270]
--- Content provided by FirstRanker.com ---
3. 5:1 [Option ID = 26269]4. 9:2 [Option ID = 26268]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
--- Content provided by FirstRanker.com ---
1. 128 [Option ID = 26189]2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
Correct Answer :-
--- Content provided by FirstRanker.com ---
128 [Option ID = 26189][Question ID = 6570]
1. The upper right corner [Option ID = 26274]
2. The upper left corner [Option ID = 26272]
3. The lower right corner [Option ID = 26273]
--- Content provided by FirstRanker.com ---
43)44)
45)
4. The lower left corner [Option ID = 26271]
Correct Answer :-
--- Content provided by FirstRanker.com ---
The lower right corner [Option ID = 26273][Question ID = 6614]
1. 6 [Option ID = 26447]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
--- Content provided by FirstRanker.com ---
4. 8 [Option ID = 26449]Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
--- Content provided by FirstRanker.com ---
2. 12 [Option ID = 26179]3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
--- Content provided by FirstRanker.com ---
46)47)
48)
[Question ID = 6539]
1. 6 [Option ID = 26148]
--- Content provided by FirstRanker.com ---
2. 7 [Option ID = 26149]3. does not exist [Option ID = 26150]
4. 5 [Option ID = 26147]
Correct Answer :-
5 [Option ID = 26147]
--- Content provided by FirstRanker.com ---
[Question ID = 6588]1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
--- Content provided by FirstRanker.com ---
3. 1 [Option ID = 26353]4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
--- Content provided by FirstRanker.com ---
FirstRanker.com - FirstRanker's Choice1)
2)
3)
4)
--- Content provided by FirstRanker.com ---
5)DU BTech IT N Mathematical Innovations
Topic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26405]2. [Option ID = 26406]
3. [Option ID = 26404]
4. [Option ID = 26403]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26403]A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
--- Content provided by FirstRanker.com ---
4. (0, 0) [Option ID = 26233]Correct Answer :-
(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
--- Content provided by FirstRanker.com ---
1. 24 [Option ID = 26252]2. 12 [Option ID = 26254]
3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
Correct Answer :-
--- Content provided by FirstRanker.com ---
20 [Option ID = 26253]A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26326]4. [Option ID = 26325]
Correct Answer :-
[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
--- Content provided by FirstRanker.com ---
to the left or the right peg right.6)
7)
--- Content provided by FirstRanker.com ---
[Question ID = 6576]1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
--- Content provided by FirstRanker.com ---
Correct Answer :-4 [Option ID = 26297]
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26334]3. [Option ID = 26333]
4. [Option ID = 26331]
Correct Answer :-
[Option ID = 26331]
--- Content provided by FirstRanker.com ---
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.[Question ID = 6619]
1. [Option ID = 26468]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26470]3. [Option ID = 26469]
8)
9)
10)
--- Content provided by FirstRanker.com ---
4. [Option ID = 26467]Correct Answer :-
[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26466]Correct Answer :-
[Option ID = 26465]
[Question ID = 7155]
1. a > 0 [Option ID = 28611]
--- Content provided by FirstRanker.com ---
2. a < 0 [Option ID = 28612]3. a=1/2 [Option ID = 28614]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
--- Content provided by FirstRanker.com ---
11)12)
[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
--- Content provided by FirstRanker.com ---
3. GRAPH II [Option ID = 26204]4. GRAPH IV [Option ID = 26206]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26310]2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26307]13)
[Question ID = 6617]
1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
--- Content provided by FirstRanker.com ---
3. Gray [Option ID = 26460]4. White [Option ID = 26459]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
--- Content provided by FirstRanker.com ---
14)15)
16)
1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
--- Content provided by FirstRanker.com ---
3. IMAGE IV [Option ID = 26258]4. IMAGE III [Option ID = 26257]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
--- Content provided by FirstRanker.com ---
1. 44 [Option ID = 26435]2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
--- Content provided by FirstRanker.com ---
50 [Option ID = 26436][Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26421]Correct Answer :-
[Option ID = 26421]
[Question ID = 6591]
1. -6, -32 [Option ID = 26358]
--- Content provided by FirstRanker.com ---
2. -6, 3 [Option ID = 26357]3. -2, -3 [Option ID = 26356]
4. -2, -32 [Option ID = 26355]
Correct Answer :-
17)
--- Content provided by FirstRanker.com ---
18)19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
--- Content provided by FirstRanker.com ---
1. 32 [Option ID = 26145]2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
--- Content provided by FirstRanker.com ---
32 [Option ID = 26145][Question ID = 6589]
1. unique solution [Option ID = 26347]
2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
--- Content provided by FirstRanker.com ---
4. Exactly two solutions [Option ID = 26348]Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26387]3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
--- Content provided by FirstRanker.com ---
[Question ID = 6567]1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
--- Content provided by FirstRanker.com ---
23)24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
--- Content provided by FirstRanker.com ---
4 [Option ID = 26262][Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26415]Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
--- Content provided by FirstRanker.com ---
2. 24 [Option ID = 26207]3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
--- Content provided by FirstRanker.com ---
[Question ID = 6557]1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
--- Content provided by FirstRanker.com ---
Correct Answer :-? 3 [Option ID = 26222]
25)
26)
27)
--- Content provided by FirstRanker.com ---
[Question ID = 6613]1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
--- Content provided by FirstRanker.com ---
Correct Answer :-6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26328]4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26128]2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
--- Content provided by FirstRanker.com ---
8 [Option ID = 26127]28)
29)
30)
[Question ID = 6536]
--- Content provided by FirstRanker.com ---
1. 2/3 [Option ID = 26137]2. 1/3 [Option ID = 26135]
3. ? 1/3 [Option ID = 26136]
4. ? 2/3 [Option ID = 26138]
Correct Answer :-
--- Content provided by FirstRanker.com ---
? 1/3 [Option ID = 26136][Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
--- Content provided by FirstRanker.com ---
4. 73 [Option ID = 26440]Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26383]3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
--- Content provided by FirstRanker.com ---
[Question ID = 6533]1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26123]
31)
32)
33)
--- Content provided by FirstRanker.com ---
34)[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26427]Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
--- Content provided by FirstRanker.com ---
2. 1 [Option ID = 26175]3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
--- Content provided by FirstRanker.com ---
[Question ID = 6602]1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
--- Content provided by FirstRanker.com ---
Correct Answer :-136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
--- Content provided by FirstRanker.com ---
3. 84 [Option ID = 26367]4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
--- Content provided by FirstRanker.com ---
36)37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
--- Content provided by FirstRanker.com ---
3. 10 [Option ID = 26293]4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
--- Content provided by FirstRanker.com ---
A x B x C x E = [Question ID = 6616]
1. 240 [Option ID = 26457]
2. 70 [Option ID = 26458]
3. 48 [Option ID = 26456]
--- Content provided by FirstRanker.com ---
4. 40 [Option ID = 26455]Correct Answer :-
40 [Option ID = 26455]
38)
39)
--- Content provided by FirstRanker.com ---
40)A + B + D + E = [Question ID = 6615]
1. 15 [Option ID = 26454]
--- Content provided by FirstRanker.com ---
2. 18 [Option ID = 26451]3. 13 [Option ID = 26452]
4. 16 [Option ID = 26453]
Correct Answer :-
13 [Option ID = 26452]
--- Content provided by FirstRanker.com ---
[Question ID = 6564]1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
--- Content provided by FirstRanker.com ---
3. 0 [Option ID = 26133]4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
--- Content provided by FirstRanker.com ---
42)[Question ID = 6569]
1. 7:2 [Option ID = 26267]
2. 6:1 [Option ID = 26270]
3. 5:1 [Option ID = 26269]
--- Content provided by FirstRanker.com ---
4. 9:2 [Option ID = 26268]Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
--- Content provided by FirstRanker.com ---
2. 68 [Option ID = 26188]3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
Correct Answer :-
128 [Option ID = 26189]
--- Content provided by FirstRanker.com ---
[Question ID = 6570]1. The upper right corner [Option ID = 26274]
2. The upper left corner [Option ID = 26272]
3. The lower right corner [Option ID = 26273]
43)
--- Content provided by FirstRanker.com ---
44)45)
4. The lower left corner [Option ID = 26271]
Correct Answer :-
The lower right corner [Option ID = 26273]
--- Content provided by FirstRanker.com ---
[Question ID = 6614]1. 6 [Option ID = 26447]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
--- Content provided by FirstRanker.com ---
Correct Answer :-8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26182]4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
--- Content provided by FirstRanker.com ---
47)48)
[Question ID = 6539]
1. 6 [Option ID = 26148]
2. 7 [Option ID = 26149]
--- Content provided by FirstRanker.com ---
3. does not exist [Option ID = 26150]4. 5 [Option ID = 26147]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26343]2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26344][Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
--- Content provided by FirstRanker.com ---
4. infinite [Option ID = 26352]Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
--- Content provided by FirstRanker.com ---
50)51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
--- Content provided by FirstRanker.com ---
4. ? 2 [Option ID = 26152]Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26227]3. [Option ID = 26228]
4. [Option ID = 26230]
Correct Answer :-
[Option ID = 26227]
--- Content provided by FirstRanker.com ---
[Question ID = 6595]1. a,b,c are in HP [Option ID = 26373]
2. a,b,c are in AGP [Option ID = 26374]
3. a,b,c are in AP [Option ID = 26371]
4. a,b,c are in GP [Option ID = 26372]
--- Content provided by FirstRanker.com ---
Correct Answer :-a,b,c are in GP [Option ID = 26372]
[Question ID = 6610]
1. [Option ID = 26431]
2. [Option ID = 26434]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26432]4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
FirstRanker.com - FirstRanker's Choice
--- Content provided by FirstRanker.com ---
1)2)
3)
4)
5)
--- Content provided by FirstRanker.com ---
DU BTech IT N Mathematical InnovationsTopic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
1. [Option ID = 26405]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26406]3. [Option ID = 26404]
4. [Option ID = 26403]
Correct Answer :-
[Option ID = 26403]
--- Content provided by FirstRanker.com ---
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
--- Content provided by FirstRanker.com ---
Correct Answer :-(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
--- Content provided by FirstRanker.com ---
2. 12 [Option ID = 26254]3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
Correct Answer :-
20 [Option ID = 26253]
--- Content provided by FirstRanker.com ---
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then theeccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
3. [Option ID = 26326]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26325]Correct Answer :-
[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)
7)
[Question ID = 6576]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26298]2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
Correct Answer :-
--- Content provided by FirstRanker.com ---
4 [Option ID = 26297]A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
2. [Option ID = 26334]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26333]4. [Option ID = 26331]
Correct Answer :-
[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26469]8)
9)
10)
4. [Option ID = 26467]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26465]
[Question ID = 7155]
1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
--- Content provided by FirstRanker.com ---
3. a=1/2 [Option ID = 28614]4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
--- Content provided by FirstRanker.com ---
12)[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
--- Content provided by FirstRanker.com ---
4. GRAPH IV [Option ID = 26206]Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26309]3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
--- Content provided by FirstRanker.com ---
13)[Question ID = 6617]
1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
--- Content provided by FirstRanker.com ---
4. White [Option ID = 26459]Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
--- Content provided by FirstRanker.com ---
15)16)
1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
--- Content provided by FirstRanker.com ---
4. IMAGE III [Option ID = 26257]Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
--- Content provided by FirstRanker.com ---
2. 50 [Option ID = 26436]3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
--- Content provided by FirstRanker.com ---
[Question ID = 6607]1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26421]
[Question ID = 6591]
1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
--- Content provided by FirstRanker.com ---
3. -2, -3 [Option ID = 26356]4. -2, -32 [Option ID = 26355]
Correct Answer :-
17)
18)
--- Content provided by FirstRanker.com ---
19)20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26146]3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
32 [Option ID = 26145]
--- Content provided by FirstRanker.com ---
[Question ID = 6589]1. unique solution [Option ID = 26347]
2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
--- Content provided by FirstRanker.com ---
Correct Answer :-no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
--- Content provided by FirstRanker.com ---
3. 10 [Option ID = 26388]4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26259]2. 9 [Option ID = 26261]
21)
22)
23)
--- Content provided by FirstRanker.com ---
24)3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
--- Content provided by FirstRanker.com ---
[Question ID = 6606]1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
--- Content provided by FirstRanker.com ---
Correct Answer :-5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26208]4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
--- Content provided by FirstRanker.com ---
1. ? 3 [Option ID = 26222]2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
--- Content provided by FirstRanker.com ---
? 3 [Option ID = 26222]25)
26)
27)
[Question ID = 6613]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26445]2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
--- Content provided by FirstRanker.com ---
6 [Option ID = 26445][Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26327]Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26129]3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
--- Content provided by FirstRanker.com ---
28)29)
30)
[Question ID = 6536]
1. 2/3 [Option ID = 26137]
--- Content provided by FirstRanker.com ---
2. 1/3 [Option ID = 26135]3. ? 1/3 [Option ID = 26136]
4. ? 2/3 [Option ID = 26138]
Correct Answer :-
? 1/3 [Option ID = 26136]
--- Content provided by FirstRanker.com ---
[Question ID = 6612]1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
--- Content provided by FirstRanker.com ---
Correct Answer :-21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
--- Content provided by FirstRanker.com ---
3. 1 [Option ID = 26384]4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26126]2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26123]31)
32)
33)
34)
--- Content provided by FirstRanker.com ---
[Question ID = 6609]1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26177]4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
--- Content provided by FirstRanker.com ---
1. 455 [Option ID = 26401]2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
--- Content provided by FirstRanker.com ---
136 [Option ID = 26400][Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
--- Content provided by FirstRanker.com ---
4. 83 [Option ID = 26370]Correct Answer :-
80 [Option ID = 26368]
35)
36)
--- Content provided by FirstRanker.com ---
37)[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
--- Content provided by FirstRanker.com ---
4. 17 [Option ID = 26294]Correct Answer :-
11 [Option ID = 26292]
--- Content provided by FirstRanker.com ---
A x B x C x E = [Question ID = 6616]1. 240 [Option ID = 26457]
2. 70 [Option ID = 26458]
3. 48 [Option ID = 26456]
4. 40 [Option ID = 26455]
--- Content provided by FirstRanker.com ---
Correct Answer :-40 [Option ID = 26455]
38)
39)
40)
--- Content provided by FirstRanker.com ---
A + B + D + E = [Question ID = 6615]
1. 15 [Option ID = 26454]
2. 18 [Option ID = 26451]
--- Content provided by FirstRanker.com ---
3. 13 [Option ID = 26452]4. 16 [Option ID = 26453]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26248]2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26250][Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
--- Content provided by FirstRanker.com ---
4. -1 [Option ID = 26134]Correct Answer :-
42926 [Option ID = 26132]
41)
42)
--- Content provided by FirstRanker.com ---
[Question ID = 6569]1. 7:2 [Option ID = 26267]
2. 6:1 [Option ID = 26270]
3. 5:1 [Option ID = 26269]
4. 9:2 [Option ID = 26268]
--- Content provided by FirstRanker.com ---
Correct Answer :-9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
--- Content provided by FirstRanker.com ---
3. 34 [Option ID = 26187]4. 32 [Option ID = 26190]
Correct Answer :-
128 [Option ID = 26189]
[Question ID = 6570]
--- Content provided by FirstRanker.com ---
1. The upper right corner [Option ID = 26274]2. The upper left corner [Option ID = 26272]
3. The lower right corner [Option ID = 26273]
43)
44)
--- Content provided by FirstRanker.com ---
45)4. The lower left corner [Option ID = 26271]
Correct Answer :-
The lower right corner [Option ID = 26273]
[Question ID = 6614]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26447]2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
--- Content provided by FirstRanker.com ---
8 [Option ID = 26449][Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26180]Correct Answer :-
4 [Option ID = 26180]
46)
47)
--- Content provided by FirstRanker.com ---
48)[Question ID = 6539]
1. 6 [Option ID = 26148]
2. 7 [Option ID = 26149]
3. does not exist [Option ID = 26150]
--- Content provided by FirstRanker.com ---
4. 5 [Option ID = 26147]Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26344]3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
--- Content provided by FirstRanker.com ---
[Question ID = 6590]1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
--- Content provided by FirstRanker.com ---
Correct Answer :-infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
--- Content provided by FirstRanker.com ---
51)1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
--- Content provided by FirstRanker.com ---
Correct Answer :-2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26228]4. [Option ID = 26230]
Correct Answer :-
[Option ID = 26227]
[Question ID = 6595]
--- Content provided by FirstRanker.com ---
1. a,b,c are in HP [Option ID = 26373]2. a,b,c are in AGP [Option ID = 26374]
3. a,b,c are in AP [Option ID = 26371]
4. a,b,c are in GP [Option ID = 26372]
Correct Answer :-
--- Content provided by FirstRanker.com ---
a,b,c are in GP [Option ID = 26372][Question ID = 6610]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26433]Correct Answer :-
[Option ID = 26432]
52)
53)
--- Content provided by FirstRanker.com ---
[Question ID = 6550]1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26193]
[Question ID = 6544]
1. g'(-2) > g'(2) > g'(0) [Option ID = 26170]
2. g'(-2) > g'(0) > g'(2) [Option ID = 26169]
--- Content provided by FirstRanker.com ---
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
FirstRanker.com - FirstRanker's Choice
1)
--- Content provided by FirstRanker.com ---
2)3)
4)
5)
DU BTech IT N Mathematical Innovations
--- Content provided by FirstRanker.com ---
Topic:- DU_J18_BTECH_Topic01the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26404]4. [Option ID = 26403]
Correct Answer :-
[Option ID = 26403]
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
--- Content provided by FirstRanker.com ---
1. (0, 1) [Option ID = 26232]2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
Correct Answer :-
--- Content provided by FirstRanker.com ---
(0, 1) [Option ID = 26232]A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
2. 12 [Option ID = 26254]
--- Content provided by FirstRanker.com ---
3. 20 [Option ID = 26253]4. 10 [Option ID = 26251]
Correct Answer :-
20 [Option ID = 26253]
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
--- Content provided by FirstRanker.com ---
eccentricity of the ellipse is [Question ID = 6583]1. [Option ID = 26324]
2. [Option ID = 26323]
3. [Option ID = 26326]
4. [Option ID = 26325]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
--- Content provided by FirstRanker.com ---
2. 1 [Option ID = 26295]3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
Correct Answer :-
4 [Option ID = 26297]
--- Content provided by FirstRanker.com ---
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
2. [Option ID = 26334]
3. [Option ID = 26333]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26331]Correct Answer :-
[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
--- Content provided by FirstRanker.com ---
8)9)
10)
4. [Option ID = 26467]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26467]In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
[Question ID = 6618]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26464]2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26465][Question ID = 7155]
1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
3. a=1/2 [Option ID = 28614]
--- Content provided by FirstRanker.com ---
4. sign of a cannot be determined [Option ID = 28613]Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
--- Content provided by FirstRanker.com ---
[Question ID = 6553]1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
4. GRAPH IV [Option ID = 26206]
--- Content provided by FirstRanker.com ---
Correct Answer :-GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26307]4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
--- Content provided by FirstRanker.com ---
[Question ID = 6617]1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
4. White [Option ID = 26459]
--- Content provided by FirstRanker.com ---
Correct Answer :-White [Option ID = 26459]
[Question ID = 6566]
14)
15)
--- Content provided by FirstRanker.com ---
16)1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
4. IMAGE III [Option ID = 26257]
--- Content provided by FirstRanker.com ---
Correct Answer :-IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
--- Content provided by FirstRanker.com ---
3. 45 [Option ID = 26438]4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26422]2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26421][Question ID = 6591]
1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
3. -2, -3 [Option ID = 26356]
--- Content provided by FirstRanker.com ---
4. -2, -32 [Option ID = 26355]Correct Answer :-
17)
18)
19)
--- Content provided by FirstRanker.com ---
20)-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26144]4. 4 [Option ID = 26143]
Correct Answer :-
32 [Option ID = 26145]
[Question ID = 6589]
--- Content provided by FirstRanker.com ---
1. unique solution [Option ID = 26347]2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
--- Content provided by FirstRanker.com ---
no solution [Option ID = 26349][Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
--- Content provided by FirstRanker.com ---
4. 8 [Option ID = 26390]Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
--- Content provided by FirstRanker.com ---
2. 9 [Option ID = 26261]21)
22)
23)
24)
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26260]4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26416]2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
--- Content provided by FirstRanker.com ---
5 [Option ID = 26418][Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
--- Content provided by FirstRanker.com ---
4. 40 [Option ID = 26210]Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
--- Content provided by FirstRanker.com ---
2. ? 6 [Option ID = 26221]3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
--- Content provided by FirstRanker.com ---
25)26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
--- Content provided by FirstRanker.com ---
2. 7 [Option ID = 26446]3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
--- Content provided by FirstRanker.com ---
[Question ID = 6584]1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26127]4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
--- Content provided by FirstRanker.com ---
29)30)
[Question ID = 6536]
1. 2/3 [Option ID = 26137]
2. 1/3 [Option ID = 26135]
--- Content provided by FirstRanker.com ---
3. ? 1/3 [Option ID = 26136]4. ? 2/3 [Option ID = 26138]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
--- Content provided by FirstRanker.com ---
1. 18 [Option ID = 26439]2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
--- Content provided by FirstRanker.com ---
21 [Option ID = 26441][Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
--- Content provided by FirstRanker.com ---
4. 3 [Option ID = 26386]Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26124]3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
--- Content provided by FirstRanker.com ---
31)32)
33)
34)
[Question ID = 6609]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26428]2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26427][Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26178]Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
--- Content provided by FirstRanker.com ---
2. 105 [Option ID = 26402]3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
--- Content provided by FirstRanker.com ---
[Question ID = 6594]1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
--- Content provided by FirstRanker.com ---
Correct Answer :-80 [Option ID = 26368]
35)
36)
37)
--- Content provided by FirstRanker.com ---
[Question ID = 6575]1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
--- Content provided by FirstRanker.com ---
Correct Answer :-11 [Option ID = 26292]
A x B x C x E = [Question ID = 6616]
--- Content provided by FirstRanker.com ---
1. 240 [Option ID = 26457]2. 70 [Option ID = 26458]
3. 48 [Option ID = 26456]
4. 40 [Option ID = 26455]
Correct Answer :-
--- Content provided by FirstRanker.com ---
40 [Option ID = 26455]38)
39)
40)
--- Content provided by FirstRanker.com ---
A + B + D + E = [Question ID = 6615]
1. 15 [Option ID = 26454]
2. 18 [Option ID = 26451]
3. 13 [Option ID = 26452]
--- Content provided by FirstRanker.com ---
4. 16 [Option ID = 26453]Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26247]3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
--- Content provided by FirstRanker.com ---
[Question ID = 6535]1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
--- Content provided by FirstRanker.com ---
Correct Answer :-42926 [Option ID = 26132]
41)
42)
[Question ID = 6569]
--- Content provided by FirstRanker.com ---
1. 7:2 [Option ID = 26267]2. 6:1 [Option ID = 26270]
3. 5:1 [Option ID = 26269]
4. 9:2 [Option ID = 26268]
Correct Answer :-
--- Content provided by FirstRanker.com ---
9:2 [Option ID = 26268][Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
--- Content provided by FirstRanker.com ---
4. 32 [Option ID = 26190]Correct Answer :-
128 [Option ID = 26189]
[Question ID = 6570]
1. The upper right corner [Option ID = 26274]
--- Content provided by FirstRanker.com ---
2. The upper left corner [Option ID = 26272]3. The lower right corner [Option ID = 26273]
43)
44)
45)
--- Content provided by FirstRanker.com ---
4. The lower left corner [Option ID = 26271]Correct Answer :-
The lower right corner [Option ID = 26273]
[Question ID = 6614]
1. 6 [Option ID = 26447]
--- Content provided by FirstRanker.com ---
2. 9 [Option ID = 26450]3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
--- Content provided by FirstRanker.com ---
[Question ID = 6547]1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
--- Content provided by FirstRanker.com ---
Correct Answer :-4 [Option ID = 26180]
46)
47)
48)
--- Content provided by FirstRanker.com ---
[Question ID = 6539]1. 6 [Option ID = 26148]
2. 7 [Option ID = 26149]
3. does not exist [Option ID = 26150]
4. 5 [Option ID = 26147]
--- Content provided by FirstRanker.com ---
Correct Answer :-5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26345]4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26354]2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
--- Content provided by FirstRanker.com ---
infinite [Option ID = 26352][Question ID = 6540]
49)
50)
51)
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26151]2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
--- Content provided by FirstRanker.com ---
2 [Option ID = 26151][Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26230]Correct Answer :-
[Option ID = 26227]
[Question ID = 6595]
1. a,b,c are in HP [Option ID = 26373]
--- Content provided by FirstRanker.com ---
2. a,b,c are in AGP [Option ID = 26374]3. a,b,c are in AP [Option ID = 26371]
4. a,b,c are in GP [Option ID = 26372]
Correct Answer :-
a,b,c are in GP [Option ID = 26372]
--- Content provided by FirstRanker.com ---
[Question ID = 6610]1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26432]
52)
53)
[Question ID = 6550]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26191]2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26193][Question ID = 6544]
1. g'(-2) > g'(2) > g'(0) [Option ID = 26170]
2. g'(-2) > g'(0) > g'(2) [Option ID = 26169]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
--- Content provided by FirstRanker.com ---
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]Correct Answer :-
54)
55)
56)
--- Content provided by FirstRanker.com ---
g'(-2) > g'(2) > g'(0) [Option ID = 26170][Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26266]Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26241]3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
--- Content provided by FirstRanker.com ---
[Question ID = 6531]1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26116]
FirstRanker.com - FirstRanker's Choice
1)
2)
--- Content provided by FirstRanker.com ---
3)4)
5)
DU BTech IT N Mathematical Innovations
Topic:- DU_J18_BTECH_Topic01
--- Content provided by FirstRanker.com ---
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
3. [Option ID = 26404]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26403]Correct Answer :-
[Option ID = 26403]
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
1. (0, 1) [Option ID = 26232]
--- Content provided by FirstRanker.com ---
2. (1, 1) [Option ID = 26234]3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
Correct Answer :-
(0, 1) [Option ID = 26232]
--- Content provided by FirstRanker.com ---
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all suchposiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
2. 12 [Option ID = 26254]
3. 20 [Option ID = 26253]
--- Content provided by FirstRanker.com ---
4. 10 [Option ID = 26251]Correct Answer :-
20 [Option ID = 26253]
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
eccentricity of the ellipse is [Question ID = 6583]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26324]2. [Option ID = 26323]
3. [Option ID = 26326]
4. [Option ID = 26325]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26325]The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26296]4. 4 [Option ID = 26297]
Correct Answer :-
4 [Option ID = 26297]
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
--- Content provided by FirstRanker.com ---
steps he is exactly three steps away from the starting point; [Question ID = 6585]1. [Option ID = 26332]
2. [Option ID = 26334]
3. [Option ID = 26333]
4. [Option ID = 26331]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
--- Content provided by FirstRanker.com ---
9)10)
4. [Option ID = 26467]
Correct Answer :-
[Option ID = 26467]
--- Content provided by FirstRanker.com ---
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.[Question ID = 6618]
1. [Option ID = 26464]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26465]3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[Option ID = 26465]
--- Content provided by FirstRanker.com ---
[Question ID = 7155]1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
3. a=1/2 [Option ID = 28614]
4. sign of a cannot be determined [Option ID = 28613]
--- Content provided by FirstRanker.com ---
Correct Answer :-a < 0 [Option ID = 28612]
11)
12)
[Question ID = 6553]
--- Content provided by FirstRanker.com ---
1. GRAPH III [Option ID = 26205]2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
4. GRAPH IV [Option ID = 26206]
Correct Answer :-
--- Content provided by FirstRanker.com ---
GRAPH I [Option ID = 26203][Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26308]Correct Answer :-
[Option ID = 26307]
13)
[Question ID = 6617]
--- Content provided by FirstRanker.com ---
1. Each colour is equally likely [Option ID = 26462]2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
4. White [Option ID = 26459]
Correct Answer :-
--- Content provided by FirstRanker.com ---
White [Option ID = 26459][Question ID = 6566]
14)
15)
16)
--- Content provided by FirstRanker.com ---
1. IMAGE II [Option ID = 26256]2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
4. IMAGE III [Option ID = 26257]
Correct Answer :-
--- Content provided by FirstRanker.com ---
IMAGE II [Option ID = 26256][Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
--- Content provided by FirstRanker.com ---
4. 25 [Option ID = 26437]Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26419]3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
--- Content provided by FirstRanker.com ---
[Question ID = 6591]1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
3. -2, -3 [Option ID = 26356]
4. -2, -32 [Option ID = 26355]
--- Content provided by FirstRanker.com ---
Correct Answer :-17)
18)
19)
20)
--- Content provided by FirstRanker.com ---
-2, -32 [Option ID = 26355][Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26143]Correct Answer :-
32 [Option ID = 26145]
[Question ID = 6589]
1. unique solution [Option ID = 26347]
--- Content provided by FirstRanker.com ---
2. no solution [Option ID = 26349]3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
--- Content provided by FirstRanker.com ---
[Question ID = 6599]1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
--- Content provided by FirstRanker.com ---
Correct Answer :-10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
--- Content provided by FirstRanker.com ---
21)22)
23)
24)
3. 8 [Option ID = 26260]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26262]Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26418]3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
--- Content provided by FirstRanker.com ---
[Question ID = 6554]1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
--- Content provided by FirstRanker.com ---
Correct Answer :-24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
--- Content provided by FirstRanker.com ---
3. ? 14 [Option ID = 26219]4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
--- Content provided by FirstRanker.com ---
26)27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
--- Content provided by FirstRanker.com ---
3. 5 [Option ID = 26444]4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26329]2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26329][Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26130]Correct Answer :-
8 [Option ID = 26127]
28)
29)
--- Content provided by FirstRanker.com ---
30)[Question ID = 6536]
1. 2/3 [Option ID = 26137]
2. 1/3 [Option ID = 26135]
3. ? 1/3 [Option ID = 26136]
--- Content provided by FirstRanker.com ---
4. ? 2/3 [Option ID = 26138]Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
--- Content provided by FirstRanker.com ---
2. 21 [Option ID = 26441]3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
--- Content provided by FirstRanker.com ---
[Question ID = 6598]1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
--- Content provided by FirstRanker.com ---
Correct Answer :-2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26125]4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
--- Content provided by FirstRanker.com ---
32)33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26429]3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
--- Content provided by FirstRanker.com ---
[Question ID = 6546]1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
--- Content provided by FirstRanker.com ---
Correct Answer :-3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
--- Content provided by FirstRanker.com ---
3. 135 [Option ID = 26399]4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
--- Content provided by FirstRanker.com ---
1. 80 [Option ID = 26368]2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
--- Content provided by FirstRanker.com ---
80 [Option ID = 26368]35)
36)
37)
[Question ID = 6575]
--- Content provided by FirstRanker.com ---
1. 11 [Option ID = 26292]2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
--- Content provided by FirstRanker.com ---
11 [Option ID = 26292]A x B x C x E = [Question ID = 6616]
1. 240 [Option ID = 26457]
--- Content provided by FirstRanker.com ---
2. 70 [Option ID = 26458]3. 48 [Option ID = 26456]
4. 40 [Option ID = 26455]
Correct Answer :-
40 [Option ID = 26455]
--- Content provided by FirstRanker.com ---
38)39)
40)
--- Content provided by FirstRanker.com ---
A + B + D + E = [Question ID = 6615]1. 15 [Option ID = 26454]
2. 18 [Option ID = 26451]
3. 13 [Option ID = 26452]
4. 16 [Option ID = 26453]
--- Content provided by FirstRanker.com ---
Correct Answer :-13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26250]4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
--- Content provided by FirstRanker.com ---
1. 21926 [Option ID = 26131]2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
--- Content provided by FirstRanker.com ---
42926 [Option ID = 26132]41)
42)
[Question ID = 6569]
1. 7:2 [Option ID = 26267]
--- Content provided by FirstRanker.com ---
2. 6:1 [Option ID = 26270]3. 5:1 [Option ID = 26269]
4. 9:2 [Option ID = 26268]
Correct Answer :-
9:2 [Option ID = 26268]
--- Content provided by FirstRanker.com ---
[Question ID = 6549]1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
--- Content provided by FirstRanker.com ---
Correct Answer :-128 [Option ID = 26189]
[Question ID = 6570]
1. The upper right corner [Option ID = 26274]
2. The upper left corner [Option ID = 26272]
--- Content provided by FirstRanker.com ---
3. The lower right corner [Option ID = 26273]43)
44)
45)
4. The lower left corner [Option ID = 26271]
--- Content provided by FirstRanker.com ---
Correct Answer :-The lower right corner [Option ID = 26273]
[Question ID = 6614]
1. 6 [Option ID = 26447]
2. 9 [Option ID = 26450]
--- Content provided by FirstRanker.com ---
3. 7 [Option ID = 26448]4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26181]2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
--- Content provided by FirstRanker.com ---
4 [Option ID = 26180]46)
47)
48)
[Question ID = 6539]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26148]2. 7 [Option ID = 26149]
3. does not exist [Option ID = 26150]
4. 5 [Option ID = 26147]
Correct Answer :-
--- Content provided by FirstRanker.com ---
5 [Option ID = 26147][Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26346]Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26351]3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
--- Content provided by FirstRanker.com ---
[Question ID = 6540]49)
50)
51)
1. 2 [Option ID = 26151]
--- Content provided by FirstRanker.com ---
2. 1 [Option ID = 26154]3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
--- Content provided by FirstRanker.com ---
[Question ID = 6559]1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26227]
[Question ID = 6595]
1. a,b,c are in HP [Option ID = 26373]
2. a,b,c are in AGP [Option ID = 26374]
--- Content provided by FirstRanker.com ---
3. a,b,c are in AP [Option ID = 26371]4. a,b,c are in GP [Option ID = 26372]
Correct Answer :-
a,b,c are in GP [Option ID = 26372]
[Question ID = 6610]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26431]2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26432]52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26194]3. [Option ID = 26192]
4. [Option ID = 26193]
Correct Answer :-
[Option ID = 26193]
--- Content provided by FirstRanker.com ---
[Question ID = 6544]1. g'(-2) > g'(2) > g'(0) [Option ID = 26170]
2. g'(-2) > g'(0) > g'(2) [Option ID = 26169]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
--- Content provided by FirstRanker.com ---
Correct Answer :-54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
--- Content provided by FirstRanker.com ---
[Question ID = 6568]1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
--- Content provided by FirstRanker.com ---
3. 6.5 [Option ID = 26240]4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26115]2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26116]57)
58)
59)
[Question ID = 6596]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26377]2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26378][Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26237]Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26244]3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
--- Content provided by FirstRanker.com ---
FirstRanker.com - FirstRanker's Choice1)
2)
3)
4)
--- Content provided by FirstRanker.com ---
5)DU BTech IT N Mathematical Innovations
Topic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26405]2. [Option ID = 26406]
3. [Option ID = 26404]
4. [Option ID = 26403]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26403]A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
--- Content provided by FirstRanker.com ---
4. (0, 0) [Option ID = 26233]Correct Answer :-
(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
--- Content provided by FirstRanker.com ---
1. 24 [Option ID = 26252]2. 12 [Option ID = 26254]
3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
Correct Answer :-
--- Content provided by FirstRanker.com ---
20 [Option ID = 26253]A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26326]4. [Option ID = 26325]
Correct Answer :-
[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
--- Content provided by FirstRanker.com ---
to the left or the right peg right.6)
7)
--- Content provided by FirstRanker.com ---
[Question ID = 6576]1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
--- Content provided by FirstRanker.com ---
Correct Answer :-4 [Option ID = 26297]
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26334]3. [Option ID = 26333]
4. [Option ID = 26331]
Correct Answer :-
[Option ID = 26331]
--- Content provided by FirstRanker.com ---
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.[Question ID = 6619]
1. [Option ID = 26468]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26470]3. [Option ID = 26469]
8)
9)
10)
--- Content provided by FirstRanker.com ---
4. [Option ID = 26467]Correct Answer :-
[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26466]Correct Answer :-
[Option ID = 26465]
[Question ID = 7155]
1. a > 0 [Option ID = 28611]
--- Content provided by FirstRanker.com ---
2. a < 0 [Option ID = 28612]3. a=1/2 [Option ID = 28614]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
--- Content provided by FirstRanker.com ---
11)12)
[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
--- Content provided by FirstRanker.com ---
3. GRAPH II [Option ID = 26204]4. GRAPH IV [Option ID = 26206]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26310]2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26307]13)
[Question ID = 6617]
1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
--- Content provided by FirstRanker.com ---
3. Gray [Option ID = 26460]4. White [Option ID = 26459]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
--- Content provided by FirstRanker.com ---
14)15)
16)
1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
--- Content provided by FirstRanker.com ---
3. IMAGE IV [Option ID = 26258]4. IMAGE III [Option ID = 26257]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
--- Content provided by FirstRanker.com ---
1. 44 [Option ID = 26435]2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
--- Content provided by FirstRanker.com ---
50 [Option ID = 26436][Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26421]Correct Answer :-
[Option ID = 26421]
[Question ID = 6591]
1. -6, -32 [Option ID = 26358]
--- Content provided by FirstRanker.com ---
2. -6, 3 [Option ID = 26357]3. -2, -3 [Option ID = 26356]
4. -2, -32 [Option ID = 26355]
Correct Answer :-
17)
--- Content provided by FirstRanker.com ---
18)19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
--- Content provided by FirstRanker.com ---
1. 32 [Option ID = 26145]2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
--- Content provided by FirstRanker.com ---
32 [Option ID = 26145][Question ID = 6589]
1. unique solution [Option ID = 26347]
2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
--- Content provided by FirstRanker.com ---
4. Exactly two solutions [Option ID = 26348]Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26387]3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
--- Content provided by FirstRanker.com ---
[Question ID = 6567]1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
--- Content provided by FirstRanker.com ---
23)24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
--- Content provided by FirstRanker.com ---
4 [Option ID = 26262][Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26415]Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
--- Content provided by FirstRanker.com ---
2. 24 [Option ID = 26207]3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
--- Content provided by FirstRanker.com ---
[Question ID = 6557]1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
--- Content provided by FirstRanker.com ---
Correct Answer :-? 3 [Option ID = 26222]
25)
26)
27)
--- Content provided by FirstRanker.com ---
[Question ID = 6613]1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
--- Content provided by FirstRanker.com ---
Correct Answer :-6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26328]4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26128]2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
--- Content provided by FirstRanker.com ---
8 [Option ID = 26127]28)
29)
30)
[Question ID = 6536]
--- Content provided by FirstRanker.com ---
1. 2/3 [Option ID = 26137]2. 1/3 [Option ID = 26135]
3. ? 1/3 [Option ID = 26136]
4. ? 2/3 [Option ID = 26138]
Correct Answer :-
--- Content provided by FirstRanker.com ---
? 1/3 [Option ID = 26136][Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
--- Content provided by FirstRanker.com ---
4. 73 [Option ID = 26440]Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26383]3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
--- Content provided by FirstRanker.com ---
[Question ID = 6533]1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26123]
31)
32)
33)
--- Content provided by FirstRanker.com ---
34)[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26427]Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
--- Content provided by FirstRanker.com ---
2. 1 [Option ID = 26175]3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
--- Content provided by FirstRanker.com ---
[Question ID = 6602]1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
--- Content provided by FirstRanker.com ---
Correct Answer :-136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
--- Content provided by FirstRanker.com ---
3. 84 [Option ID = 26367]4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
--- Content provided by FirstRanker.com ---
36)37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
--- Content provided by FirstRanker.com ---
3. 10 [Option ID = 26293]4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
--- Content provided by FirstRanker.com ---
A x B x C x E = [Question ID = 6616]
1. 240 [Option ID = 26457]
2. 70 [Option ID = 26458]
3. 48 [Option ID = 26456]
--- Content provided by FirstRanker.com ---
4. 40 [Option ID = 26455]Correct Answer :-
40 [Option ID = 26455]
38)
39)
--- Content provided by FirstRanker.com ---
40)A + B + D + E = [Question ID = 6615]
1. 15 [Option ID = 26454]
--- Content provided by FirstRanker.com ---
2. 18 [Option ID = 26451]3. 13 [Option ID = 26452]
4. 16 [Option ID = 26453]
Correct Answer :-
13 [Option ID = 26452]
--- Content provided by FirstRanker.com ---
[Question ID = 6564]1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
--- Content provided by FirstRanker.com ---
3. 0 [Option ID = 26133]4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
--- Content provided by FirstRanker.com ---
42)[Question ID = 6569]
1. 7:2 [Option ID = 26267]
2. 6:1 [Option ID = 26270]
3. 5:1 [Option ID = 26269]
--- Content provided by FirstRanker.com ---
4. 9:2 [Option ID = 26268]Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
--- Content provided by FirstRanker.com ---
2. 68 [Option ID = 26188]3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
Correct Answer :-
128 [Option ID = 26189]
--- Content provided by FirstRanker.com ---
[Question ID = 6570]1. The upper right corner [Option ID = 26274]
2. The upper left corner [Option ID = 26272]
3. The lower right corner [Option ID = 26273]
43)
--- Content provided by FirstRanker.com ---
44)45)
4. The lower left corner [Option ID = 26271]
Correct Answer :-
The lower right corner [Option ID = 26273]
--- Content provided by FirstRanker.com ---
[Question ID = 6614]1. 6 [Option ID = 26447]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
--- Content provided by FirstRanker.com ---
Correct Answer :-8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26182]4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
--- Content provided by FirstRanker.com ---
47)48)
[Question ID = 6539]
1. 6 [Option ID = 26148]
2. 7 [Option ID = 26149]
--- Content provided by FirstRanker.com ---
3. does not exist [Option ID = 26150]4. 5 [Option ID = 26147]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26343]2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26344][Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
--- Content provided by FirstRanker.com ---
4. infinite [Option ID = 26352]Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
--- Content provided by FirstRanker.com ---
50)51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
--- Content provided by FirstRanker.com ---
4. ? 2 [Option ID = 26152]Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26227]3. [Option ID = 26228]
4. [Option ID = 26230]
Correct Answer :-
[Option ID = 26227]
--- Content provided by FirstRanker.com ---
[Question ID = 6595]1. a,b,c are in HP [Option ID = 26373]
2. a,b,c are in AGP [Option ID = 26374]
3. a,b,c are in AP [Option ID = 26371]
4. a,b,c are in GP [Option ID = 26372]
--- Content provided by FirstRanker.com ---
Correct Answer :-a,b,c are in GP [Option ID = 26372]
[Question ID = 6610]
1. [Option ID = 26431]
2. [Option ID = 26434]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26432]4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
--- Content provided by FirstRanker.com ---
53)[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26193]Correct Answer :-
[Option ID = 26193]
[Question ID = 6544]
1. g'(-2) > g'(2) > g'(0) [Option ID = 26170]
--- Content provided by FirstRanker.com ---
2. g'(-2) > g'(0) > g'(2) [Option ID = 26169]3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
--- Content provided by FirstRanker.com ---
55)56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26265]3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
--- Content provided by FirstRanker.com ---
[Question ID = 6562]1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
--- Content provided by FirstRanker.com ---
Correct Answer :-6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26117]4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
--- Content provided by FirstRanker.com ---
58)59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26378]4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26236]2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26235][Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26243]Correct Answer :-
[Option ID = 26243]
60)
61)
--- Content provided by FirstRanker.com ---
62)63)
Under what condition does the above system of equations have infinitely many solutions? [Question ID = 6604]
1. [Option ID = 26409]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26410]3. [Option ID = 26408]
4. [Option ID = 26407]
Correct Answer :-
[Option ID = 26408]
--- Content provided by FirstRanker.com ---
Under what condition does the above system of equations have a unique solution? [Question ID = 6605]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26413]Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26201]3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
0.5 [Option ID = 26202]
--- Content provided by FirstRanker.com ---
FirstRanker.com - FirstRanker's Choice1)
2)
3)
4)
--- Content provided by FirstRanker.com ---
5)DU BTech IT N Mathematical Innovations
Topic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26405]2. [Option ID = 26406]
3. [Option ID = 26404]
4. [Option ID = 26403]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26403]A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
--- Content provided by FirstRanker.com ---
4. (0, 0) [Option ID = 26233]Correct Answer :-
(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
--- Content provided by FirstRanker.com ---
1. 24 [Option ID = 26252]2. 12 [Option ID = 26254]
3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
Correct Answer :-
--- Content provided by FirstRanker.com ---
20 [Option ID = 26253]A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26326]4. [Option ID = 26325]
Correct Answer :-
[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
--- Content provided by FirstRanker.com ---
to the left or the right peg right.6)
7)
--- Content provided by FirstRanker.com ---
[Question ID = 6576]1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
--- Content provided by FirstRanker.com ---
Correct Answer :-4 [Option ID = 26297]
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26334]3. [Option ID = 26333]
4. [Option ID = 26331]
Correct Answer :-
[Option ID = 26331]
--- Content provided by FirstRanker.com ---
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.[Question ID = 6619]
1. [Option ID = 26468]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26470]3. [Option ID = 26469]
8)
9)
10)
--- Content provided by FirstRanker.com ---
4. [Option ID = 26467]Correct Answer :-
[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26466]Correct Answer :-
[Option ID = 26465]
[Question ID = 7155]
1. a > 0 [Option ID = 28611]
--- Content provided by FirstRanker.com ---
2. a < 0 [Option ID = 28612]3. a=1/2 [Option ID = 28614]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
--- Content provided by FirstRanker.com ---
11)12)
[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
--- Content provided by FirstRanker.com ---
3. GRAPH II [Option ID = 26204]4. GRAPH IV [Option ID = 26206]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26310]2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26307]13)
[Question ID = 6617]
1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
--- Content provided by FirstRanker.com ---
3. Gray [Option ID = 26460]4. White [Option ID = 26459]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
--- Content provided by FirstRanker.com ---
14)15)
16)
1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
--- Content provided by FirstRanker.com ---
3. IMAGE IV [Option ID = 26258]4. IMAGE III [Option ID = 26257]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
--- Content provided by FirstRanker.com ---
1. 44 [Option ID = 26435]2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
--- Content provided by FirstRanker.com ---
50 [Option ID = 26436][Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26421]Correct Answer :-
[Option ID = 26421]
[Question ID = 6591]
1. -6, -32 [Option ID = 26358]
--- Content provided by FirstRanker.com ---
2. -6, 3 [Option ID = 26357]3. -2, -3 [Option ID = 26356]
4. -2, -32 [Option ID = 26355]
Correct Answer :-
17)
--- Content provided by FirstRanker.com ---
18)19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
--- Content provided by FirstRanker.com ---
1. 32 [Option ID = 26145]2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
--- Content provided by FirstRanker.com ---
32 [Option ID = 26145][Question ID = 6589]
1. unique solution [Option ID = 26347]
2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
--- Content provided by FirstRanker.com ---
4. Exactly two solutions [Option ID = 26348]Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26387]3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
--- Content provided by FirstRanker.com ---
[Question ID = 6567]1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
--- Content provided by FirstRanker.com ---
23)24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
--- Content provided by FirstRanker.com ---
4 [Option ID = 26262][Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26415]Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
--- Content provided by FirstRanker.com ---
2. 24 [Option ID = 26207]3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
--- Content provided by FirstRanker.com ---
[Question ID = 6557]1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
--- Content provided by FirstRanker.com ---
Correct Answer :-? 3 [Option ID = 26222]
25)
26)
27)
--- Content provided by FirstRanker.com ---
[Question ID = 6613]1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
--- Content provided by FirstRanker.com ---
Correct Answer :-6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26328]4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26128]2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
--- Content provided by FirstRanker.com ---
8 [Option ID = 26127]28)
29)
30)
[Question ID = 6536]
--- Content provided by FirstRanker.com ---
1. 2/3 [Option ID = 26137]2. 1/3 [Option ID = 26135]
3. ? 1/3 [Option ID = 26136]
4. ? 2/3 [Option ID = 26138]
Correct Answer :-
--- Content provided by FirstRanker.com ---
? 1/3 [Option ID = 26136][Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
--- Content provided by FirstRanker.com ---
4. 73 [Option ID = 26440]Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26383]3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
--- Content provided by FirstRanker.com ---
[Question ID = 6533]1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26123]
31)
32)
33)
--- Content provided by FirstRanker.com ---
34)[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26427]Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
--- Content provided by FirstRanker.com ---
2. 1 [Option ID = 26175]3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
--- Content provided by FirstRanker.com ---
[Question ID = 6602]1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
--- Content provided by FirstRanker.com ---
Correct Answer :-136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
--- Content provided by FirstRanker.com ---
3. 84 [Option ID = 26367]4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
--- Content provided by FirstRanker.com ---
36)37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
--- Content provided by FirstRanker.com ---
3. 10 [Option ID = 26293]4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
--- Content provided by FirstRanker.com ---
A x B x C x E = [Question ID = 6616]
1. 240 [Option ID = 26457]
2. 70 [Option ID = 26458]
3. 48 [Option ID = 26456]
--- Content provided by FirstRanker.com ---
4. 40 [Option ID = 26455]Correct Answer :-
40 [Option ID = 26455]
38)
39)
--- Content provided by FirstRanker.com ---
40)A + B + D + E = [Question ID = 6615]
1. 15 [Option ID = 26454]
--- Content provided by FirstRanker.com ---
2. 18 [Option ID = 26451]3. 13 [Option ID = 26452]
4. 16 [Option ID = 26453]
Correct Answer :-
13 [Option ID = 26452]
--- Content provided by FirstRanker.com ---
[Question ID = 6564]1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
--- Content provided by FirstRanker.com ---
3. 0 [Option ID = 26133]4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
--- Content provided by FirstRanker.com ---
42)[Question ID = 6569]
1. 7:2 [Option ID = 26267]
2. 6:1 [Option ID = 26270]
3. 5:1 [Option ID = 26269]
--- Content provided by FirstRanker.com ---
4. 9:2 [Option ID = 26268]Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
--- Content provided by FirstRanker.com ---
2. 68 [Option ID = 26188]3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
Correct Answer :-
128 [Option ID = 26189]
--- Content provided by FirstRanker.com ---
[Question ID = 6570]1. The upper right corner [Option ID = 26274]
2. The upper left corner [Option ID = 26272]
3. The lower right corner [Option ID = 26273]
43)
--- Content provided by FirstRanker.com ---
44)45)
4. The lower left corner [Option ID = 26271]
Correct Answer :-
The lower right corner [Option ID = 26273]
--- Content provided by FirstRanker.com ---
[Question ID = 6614]1. 6 [Option ID = 26447]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
--- Content provided by FirstRanker.com ---
Correct Answer :-8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26182]4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
--- Content provided by FirstRanker.com ---
47)48)
[Question ID = 6539]
1. 6 [Option ID = 26148]
2. 7 [Option ID = 26149]
--- Content provided by FirstRanker.com ---
3. does not exist [Option ID = 26150]4. 5 [Option ID = 26147]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26343]2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26344][Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
--- Content provided by FirstRanker.com ---
4. infinite [Option ID = 26352]Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
--- Content provided by FirstRanker.com ---
50)51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
--- Content provided by FirstRanker.com ---
4. ? 2 [Option ID = 26152]Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26227]3. [Option ID = 26228]
4. [Option ID = 26230]
Correct Answer :-
[Option ID = 26227]
--- Content provided by FirstRanker.com ---
[Question ID = 6595]1. a,b,c are in HP [Option ID = 26373]
2. a,b,c are in AGP [Option ID = 26374]
3. a,b,c are in AP [Option ID = 26371]
4. a,b,c are in GP [Option ID = 26372]
--- Content provided by FirstRanker.com ---
Correct Answer :-a,b,c are in GP [Option ID = 26372]
[Question ID = 6610]
1. [Option ID = 26431]
2. [Option ID = 26434]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26432]4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
--- Content provided by FirstRanker.com ---
53)[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26193]Correct Answer :-
[Option ID = 26193]
[Question ID = 6544]
1. g'(-2) > g'(2) > g'(0) [Option ID = 26170]
--- Content provided by FirstRanker.com ---
2. g'(-2) > g'(0) > g'(2) [Option ID = 26169]3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
--- Content provided by FirstRanker.com ---
55)56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26265]3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
--- Content provided by FirstRanker.com ---
[Question ID = 6562]1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
--- Content provided by FirstRanker.com ---
Correct Answer :-6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26117]4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
--- Content provided by FirstRanker.com ---
58)59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26378]4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26236]2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26235][Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26243]Correct Answer :-
[Option ID = 26243]
60)
61)
--- Content provided by FirstRanker.com ---
62)63)
Under what condition does the above system of equations have infinitely many solutions? [Question ID = 6604]
1. [Option ID = 26409]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26410]3. [Option ID = 26408]
4. [Option ID = 26407]
Correct Answer :-
[Option ID = 26408]
--- Content provided by FirstRanker.com ---
Under what condition does the above system of equations have a unique solution? [Question ID = 6605]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26413]Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26201]3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
0.5 [Option ID = 26202]
--- Content provided by FirstRanker.com ---
64)The number on the block that is in the 3rd column and the 4th row of the 100th layer is [Question ID = 6574]
1. 590438611224 [Option ID = 26288]
--- Content provided by FirstRanker.com ---
2. 634062082500 [Option ID = 26289]3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
--- Content provided by FirstRanker.com ---
FirstRanker.com - FirstRanker's Choice1)
2)
3)
4)
--- Content provided by FirstRanker.com ---
5)DU BTech IT N Mathematical Innovations
Topic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26405]2. [Option ID = 26406]
3. [Option ID = 26404]
4. [Option ID = 26403]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26403]A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
--- Content provided by FirstRanker.com ---
4. (0, 0) [Option ID = 26233]Correct Answer :-
(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
--- Content provided by FirstRanker.com ---
1. 24 [Option ID = 26252]2. 12 [Option ID = 26254]
3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
Correct Answer :-
--- Content provided by FirstRanker.com ---
20 [Option ID = 26253]A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26326]4. [Option ID = 26325]
Correct Answer :-
[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
--- Content provided by FirstRanker.com ---
to the left or the right peg right.6)
7)
--- Content provided by FirstRanker.com ---
[Question ID = 6576]1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
--- Content provided by FirstRanker.com ---
Correct Answer :-4 [Option ID = 26297]
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26334]3. [Option ID = 26333]
4. [Option ID = 26331]
Correct Answer :-
[Option ID = 26331]
--- Content provided by FirstRanker.com ---
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.[Question ID = 6619]
1. [Option ID = 26468]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26470]3. [Option ID = 26469]
8)
9)
10)
--- Content provided by FirstRanker.com ---
4. [Option ID = 26467]Correct Answer :-
[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26466]Correct Answer :-
[Option ID = 26465]
[Question ID = 7155]
1. a > 0 [Option ID = 28611]
--- Content provided by FirstRanker.com ---
2. a < 0 [Option ID = 28612]3. a=1/2 [Option ID = 28614]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
--- Content provided by FirstRanker.com ---
11)12)
[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
--- Content provided by FirstRanker.com ---
3. GRAPH II [Option ID = 26204]4. GRAPH IV [Option ID = 26206]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26310]2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26307]13)
[Question ID = 6617]
1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
--- Content provided by FirstRanker.com ---
3. Gray [Option ID = 26460]4. White [Option ID = 26459]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
--- Content provided by FirstRanker.com ---
14)15)
16)
1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
--- Content provided by FirstRanker.com ---
3. IMAGE IV [Option ID = 26258]4. IMAGE III [Option ID = 26257]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
--- Content provided by FirstRanker.com ---
1. 44 [Option ID = 26435]2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
--- Content provided by FirstRanker.com ---
50 [Option ID = 26436][Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26421]Correct Answer :-
[Option ID = 26421]
[Question ID = 6591]
1. -6, -32 [Option ID = 26358]
--- Content provided by FirstRanker.com ---
2. -6, 3 [Option ID = 26357]3. -2, -3 [Option ID = 26356]
4. -2, -32 [Option ID = 26355]
Correct Answer :-
17)
--- Content provided by FirstRanker.com ---
18)19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
--- Content provided by FirstRanker.com ---
1. 32 [Option ID = 26145]2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
--- Content provided by FirstRanker.com ---
32 [Option ID = 26145][Question ID = 6589]
1. unique solution [Option ID = 26347]
2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
--- Content provided by FirstRanker.com ---
4. Exactly two solutions [Option ID = 26348]Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26387]3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
--- Content provided by FirstRanker.com ---
[Question ID = 6567]1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
--- Content provided by FirstRanker.com ---
23)24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
--- Content provided by FirstRanker.com ---
4 [Option ID = 26262][Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26415]Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
--- Content provided by FirstRanker.com ---
2. 24 [Option ID = 26207]3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
--- Content provided by FirstRanker.com ---
[Question ID = 6557]1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
--- Content provided by FirstRanker.com ---
Correct Answer :-? 3 [Option ID = 26222]
25)
26)
27)
--- Content provided by FirstRanker.com ---
[Question ID = 6613]1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
--- Content provided by FirstRanker.com ---
Correct Answer :-6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26328]4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26128]2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
--- Content provided by FirstRanker.com ---
8 [Option ID = 26127]28)
29)
30)
[Question ID = 6536]
--- Content provided by FirstRanker.com ---
1. 2/3 [Option ID = 26137]2. 1/3 [Option ID = 26135]
3. ? 1/3 [Option ID = 26136]
4. ? 2/3 [Option ID = 26138]
Correct Answer :-
--- Content provided by FirstRanker.com ---
? 1/3 [Option ID = 26136][Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
--- Content provided by FirstRanker.com ---
4. 73 [Option ID = 26440]Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26383]3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
--- Content provided by FirstRanker.com ---
[Question ID = 6533]1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26123]
31)
32)
33)
--- Content provided by FirstRanker.com ---
34)[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26427]Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
--- Content provided by FirstRanker.com ---
2. 1 [Option ID = 26175]3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
--- Content provided by FirstRanker.com ---
[Question ID = 6602]1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
--- Content provided by FirstRanker.com ---
Correct Answer :-136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
--- Content provided by FirstRanker.com ---
3. 84 [Option ID = 26367]4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
--- Content provided by FirstRanker.com ---
36)37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
--- Content provided by FirstRanker.com ---
3. 10 [Option ID = 26293]4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
--- Content provided by FirstRanker.com ---
A x B x C x E = [Question ID = 6616]
1. 240 [Option ID = 26457]
2. 70 [Option ID = 26458]
3. 48 [Option ID = 26456]
--- Content provided by FirstRanker.com ---
4. 40 [Option ID = 26455]Correct Answer :-
40 [Option ID = 26455]
38)
39)
--- Content provided by FirstRanker.com ---
40)A + B + D + E = [Question ID = 6615]
1. 15 [Option ID = 26454]
--- Content provided by FirstRanker.com ---
2. 18 [Option ID = 26451]3. 13 [Option ID = 26452]
4. 16 [Option ID = 26453]
Correct Answer :-
13 [Option ID = 26452]
--- Content provided by FirstRanker.com ---
[Question ID = 6564]1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
--- Content provided by FirstRanker.com ---
3. 0 [Option ID = 26133]4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
--- Content provided by FirstRanker.com ---
42)[Question ID = 6569]
1. 7:2 [Option ID = 26267]
2. 6:1 [Option ID = 26270]
3. 5:1 [Option ID = 26269]
--- Content provided by FirstRanker.com ---
4. 9:2 [Option ID = 26268]Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
--- Content provided by FirstRanker.com ---
2. 68 [Option ID = 26188]3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
Correct Answer :-
128 [Option ID = 26189]
--- Content provided by FirstRanker.com ---
[Question ID = 6570]1. The upper right corner [Option ID = 26274]
2. The upper left corner [Option ID = 26272]
3. The lower right corner [Option ID = 26273]
43)
--- Content provided by FirstRanker.com ---
44)45)
4. The lower left corner [Option ID = 26271]
Correct Answer :-
The lower right corner [Option ID = 26273]
--- Content provided by FirstRanker.com ---
[Question ID = 6614]1. 6 [Option ID = 26447]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
--- Content provided by FirstRanker.com ---
Correct Answer :-8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26182]4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
--- Content provided by FirstRanker.com ---
47)48)
[Question ID = 6539]
1. 6 [Option ID = 26148]
2. 7 [Option ID = 26149]
--- Content provided by FirstRanker.com ---
3. does not exist [Option ID = 26150]4. 5 [Option ID = 26147]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26343]2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26344][Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
--- Content provided by FirstRanker.com ---
4. infinite [Option ID = 26352]Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
--- Content provided by FirstRanker.com ---
50)51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
--- Content provided by FirstRanker.com ---
4. ? 2 [Option ID = 26152]Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26227]3. [Option ID = 26228]
4. [Option ID = 26230]
Correct Answer :-
[Option ID = 26227]
--- Content provided by FirstRanker.com ---
[Question ID = 6595]1. a,b,c are in HP [Option ID = 26373]
2. a,b,c are in AGP [Option ID = 26374]
3. a,b,c are in AP [Option ID = 26371]
4. a,b,c are in GP [Option ID = 26372]
--- Content provided by FirstRanker.com ---
Correct Answer :-a,b,c are in GP [Option ID = 26372]
[Question ID = 6610]
1. [Option ID = 26431]
2. [Option ID = 26434]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26432]4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
--- Content provided by FirstRanker.com ---
53)[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26193]Correct Answer :-
[Option ID = 26193]
[Question ID = 6544]
1. g'(-2) > g'(2) > g'(0) [Option ID = 26170]
--- Content provided by FirstRanker.com ---
2. g'(-2) > g'(0) > g'(2) [Option ID = 26169]3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
--- Content provided by FirstRanker.com ---
55)56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26265]3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
--- Content provided by FirstRanker.com ---
[Question ID = 6562]1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
--- Content provided by FirstRanker.com ---
Correct Answer :-6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26117]4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
--- Content provided by FirstRanker.com ---
58)59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26378]4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26236]2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26235][Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26243]Correct Answer :-
[Option ID = 26243]
60)
61)
--- Content provided by FirstRanker.com ---
62)63)
Under what condition does the above system of equations have infinitely many solutions? [Question ID = 6604]
1. [Option ID = 26409]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26410]3. [Option ID = 26408]
4. [Option ID = 26407]
Correct Answer :-
[Option ID = 26408]
--- Content provided by FirstRanker.com ---
Under what condition does the above system of equations have a unique solution? [Question ID = 6605]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26413]Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26201]3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
0.5 [Option ID = 26202]
--- Content provided by FirstRanker.com ---
64)The number on the block that is in the 3rd column and the 4th row of the 100th layer is [Question ID = 6574]
1. 590438611224 [Option ID = 26288]
--- Content provided by FirstRanker.com ---
2. 634062082500 [Option ID = 26289]3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
--- Content provided by FirstRanker.com ---
65)The sum of the numbers on the outermost blocks of the 10th layer is [Question ID = 6571]
1. 1016 [Option ID = 26278]
--- Content provided by FirstRanker.com ---
2. 1020 [Option ID = 26277]3. 512 [Option ID = 26276]
4. 508 [Option ID = 26275]
Correct Answer :-
FirstRanker.com - FirstRanker's Choice
--- Content provided by FirstRanker.com ---
1)2)
3)
4)
5)
--- Content provided by FirstRanker.com ---
DU BTech IT N Mathematical InnovationsTopic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
1. [Option ID = 26405]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26406]3. [Option ID = 26404]
4. [Option ID = 26403]
Correct Answer :-
[Option ID = 26403]
--- Content provided by FirstRanker.com ---
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
--- Content provided by FirstRanker.com ---
Correct Answer :-(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
--- Content provided by FirstRanker.com ---
2. 12 [Option ID = 26254]3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
Correct Answer :-
20 [Option ID = 26253]
--- Content provided by FirstRanker.com ---
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then theeccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
3. [Option ID = 26326]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26325]Correct Answer :-
[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)
7)
[Question ID = 6576]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26298]2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
Correct Answer :-
--- Content provided by FirstRanker.com ---
4 [Option ID = 26297]A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
2. [Option ID = 26334]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26333]4. [Option ID = 26331]
Correct Answer :-
[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26469]8)
9)
10)
4. [Option ID = 26467]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26465]
[Question ID = 7155]
1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
--- Content provided by FirstRanker.com ---
3. a=1/2 [Option ID = 28614]4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
--- Content provided by FirstRanker.com ---
12)[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
--- Content provided by FirstRanker.com ---
4. GRAPH IV [Option ID = 26206]Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26309]3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
--- Content provided by FirstRanker.com ---
13)[Question ID = 6617]
1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
--- Content provided by FirstRanker.com ---
4. White [Option ID = 26459]Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
--- Content provided by FirstRanker.com ---
15)16)
1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
--- Content provided by FirstRanker.com ---
4. IMAGE III [Option ID = 26257]Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
--- Content provided by FirstRanker.com ---
2. 50 [Option ID = 26436]3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
--- Content provided by FirstRanker.com ---
[Question ID = 6607]1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26421]
[Question ID = 6591]
1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
--- Content provided by FirstRanker.com ---
3. -2, -3 [Option ID = 26356]4. -2, -32 [Option ID = 26355]
Correct Answer :-
17)
18)
--- Content provided by FirstRanker.com ---
19)20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26146]3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
32 [Option ID = 26145]
--- Content provided by FirstRanker.com ---
[Question ID = 6589]1. unique solution [Option ID = 26347]
2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
--- Content provided by FirstRanker.com ---
Correct Answer :-no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
--- Content provided by FirstRanker.com ---
3. 10 [Option ID = 26388]4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26259]2. 9 [Option ID = 26261]
21)
22)
23)
--- Content provided by FirstRanker.com ---
24)3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
--- Content provided by FirstRanker.com ---
[Question ID = 6606]1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
--- Content provided by FirstRanker.com ---
Correct Answer :-5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26208]4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
--- Content provided by FirstRanker.com ---
1. ? 3 [Option ID = 26222]2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
--- Content provided by FirstRanker.com ---
? 3 [Option ID = 26222]25)
26)
27)
[Question ID = 6613]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26445]2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
--- Content provided by FirstRanker.com ---
6 [Option ID = 26445][Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26327]Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26129]3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
--- Content provided by FirstRanker.com ---
28)29)
30)
[Question ID = 6536]
1. 2/3 [Option ID = 26137]
--- Content provided by FirstRanker.com ---
2. 1/3 [Option ID = 26135]3. ? 1/3 [Option ID = 26136]
4. ? 2/3 [Option ID = 26138]
Correct Answer :-
? 1/3 [Option ID = 26136]
--- Content provided by FirstRanker.com ---
[Question ID = 6612]1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
--- Content provided by FirstRanker.com ---
Correct Answer :-21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
--- Content provided by FirstRanker.com ---
3. 1 [Option ID = 26384]4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26126]2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26123]31)
32)
33)
34)
--- Content provided by FirstRanker.com ---
[Question ID = 6609]1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26177]4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
--- Content provided by FirstRanker.com ---
1. 455 [Option ID = 26401]2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
--- Content provided by FirstRanker.com ---
136 [Option ID = 26400][Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
--- Content provided by FirstRanker.com ---
4. 83 [Option ID = 26370]Correct Answer :-
80 [Option ID = 26368]
35)
36)
--- Content provided by FirstRanker.com ---
37)[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
--- Content provided by FirstRanker.com ---
4. 17 [Option ID = 26294]Correct Answer :-
11 [Option ID = 26292]
--- Content provided by FirstRanker.com ---
A x B x C x E = [Question ID = 6616]1. 240 [Option ID = 26457]
2. 70 [Option ID = 26458]
3. 48 [Option ID = 26456]
4. 40 [Option ID = 26455]
--- Content provided by FirstRanker.com ---
Correct Answer :-40 [Option ID = 26455]
38)
39)
40)
--- Content provided by FirstRanker.com ---
A + B + D + E = [Question ID = 6615]
1. 15 [Option ID = 26454]
2. 18 [Option ID = 26451]
--- Content provided by FirstRanker.com ---
3. 13 [Option ID = 26452]4. 16 [Option ID = 26453]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26248]2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26250][Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
--- Content provided by FirstRanker.com ---
4. -1 [Option ID = 26134]Correct Answer :-
42926 [Option ID = 26132]
41)
42)
--- Content provided by FirstRanker.com ---
[Question ID = 6569]1. 7:2 [Option ID = 26267]
2. 6:1 [Option ID = 26270]
3. 5:1 [Option ID = 26269]
4. 9:2 [Option ID = 26268]
--- Content provided by FirstRanker.com ---
Correct Answer :-9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
--- Content provided by FirstRanker.com ---
3. 34 [Option ID = 26187]4. 32 [Option ID = 26190]
Correct Answer :-
128 [Option ID = 26189]
[Question ID = 6570]
--- Content provided by FirstRanker.com ---
1. The upper right corner [Option ID = 26274]2. The upper left corner [Option ID = 26272]
3. The lower right corner [Option ID = 26273]
43)
44)
--- Content provided by FirstRanker.com ---
45)4. The lower left corner [Option ID = 26271]
Correct Answer :-
The lower right corner [Option ID = 26273]
[Question ID = 6614]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26447]2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
--- Content provided by FirstRanker.com ---
8 [Option ID = 26449][Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26180]Correct Answer :-
4 [Option ID = 26180]
46)
47)
--- Content provided by FirstRanker.com ---
48)[Question ID = 6539]
1. 6 [Option ID = 26148]
2. 7 [Option ID = 26149]
3. does not exist [Option ID = 26150]
--- Content provided by FirstRanker.com ---
4. 5 [Option ID = 26147]Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26344]3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
--- Content provided by FirstRanker.com ---
[Question ID = 6590]1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
--- Content provided by FirstRanker.com ---
Correct Answer :-infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
--- Content provided by FirstRanker.com ---
51)1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
--- Content provided by FirstRanker.com ---
Correct Answer :-2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26228]4. [Option ID = 26230]
Correct Answer :-
[Option ID = 26227]
[Question ID = 6595]
--- Content provided by FirstRanker.com ---
1. a,b,c are in HP [Option ID = 26373]2. a,b,c are in AGP [Option ID = 26374]
3. a,b,c are in AP [Option ID = 26371]
4. a,b,c are in GP [Option ID = 26372]
Correct Answer :-
--- Content provided by FirstRanker.com ---
a,b,c are in GP [Option ID = 26372][Question ID = 6610]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26433]Correct Answer :-
[Option ID = 26432]
52)
53)
--- Content provided by FirstRanker.com ---
[Question ID = 6550]1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26193]
[Question ID = 6544]
1. g'(-2) > g'(2) > g'(0) [Option ID = 26170]
2. g'(-2) > g'(0) > g'(2) [Option ID = 26169]
--- Content provided by FirstRanker.com ---
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
--- Content provided by FirstRanker.com ---
56)g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26264]4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
--- Content provided by FirstRanker.com ---
1. 0 [Option ID = 26239]2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
--- Content provided by FirstRanker.com ---
6.5 [Option ID = 26240][Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26118]Correct Answer :-
[Option ID = 26116]
57)
58)
--- Content provided by FirstRanker.com ---
59)[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26375]Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26238]3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
--- Content provided by FirstRanker.com ---
[Question ID = 6563]1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26243]
60)
61)
62)
--- Content provided by FirstRanker.com ---
63)Under what condition does the above system of equations have infinitely many solutions? [Question ID = 6604]
1. [Option ID = 26409]
2. [Option ID = 26410]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26408]4. [Option ID = 26407]
Correct Answer :-
[Option ID = 26408]
--- Content provided by FirstRanker.com ---
Under what condition does the above system of equations have a unique solution? [Question ID = 6605]1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
--- Content provided by FirstRanker.com ---
3. 0.5 [Option ID = 26202]4. 1 [Option ID = 26199]
Correct Answer :-
0.5 [Option ID = 26202]
64)
--- Content provided by FirstRanker.com ---
The number on the block that is in the 3rd column and the 4th row of the 100th layer is [Question ID = 6574]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
--- Content provided by FirstRanker.com ---
3. 66701250 [Option ID = 26290]4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
65)
--- Content provided by FirstRanker.com ---
The sum of the numbers on the outermost blocks of the 10th layer is [Question ID = 6571]
1. 1016 [Option ID = 26278]
2. 1020 [Option ID = 26277]
--- Content provided by FirstRanker.com ---
3. 512 [Option ID = 26276]4. 508 [Option ID = 26275]
Correct Answer :-
66)
67)
--- Content provided by FirstRanker.com ---
68)The sum of the numbers on the diagonal blocks in the 9th layer is [Question ID = 6573]
1. 20840 [Option ID = 26285]
--- Content provided by FirstRanker.com ---
2. 97240 [Option ID = 26283]3. 25740 [Option ID = 26286]
4. 81364 [Option ID = 26284]
Correct Answer :-
20840 [Option ID = 26285]
--- Content provided by FirstRanker.com ---
The sum of the numbers on the diagonal blocks in the 10th layer is [Question ID = 6572]
1. 306008 [Option ID = 26282]
2. 369260 [Option ID = 26281]
--- Content provided by FirstRanker.com ---
3. 369512 [Option ID = 26280]4. 97240 [Option ID = 26279]
Correct Answer :-
97240 [Option ID = 26279]
[Question ID = 6586]
--- Content provided by FirstRanker.com ---
1. {62, 65, 68, 71, 75} [Option ID = 26338]2. {60, 64, 68} [Option ID = 26335]
3. {61, 62, 63} [Option ID = 26336]
4. {49, 50,?, 62, 63} [Option ID = 26337]
Correct Answer :-
--- Content provided by FirstRanker.com ---
{49, 50,?, 62, 63} [Option ID = 26337]FirstRanker.com - FirstRanker's Choice
1)
2)
3)
--- Content provided by FirstRanker.com ---
4)5)
DU BTech IT N Mathematical Innovations
Topic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
--- Content provided by FirstRanker.com ---
[Question ID = 6603]1. [Option ID = 26405]
2. [Option ID = 26406]
3. [Option ID = 26404]
4. [Option ID = 26403]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26403]
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
--- Content provided by FirstRanker.com ---
3. (1, 0) [Option ID = 26231]4. (0, 0) [Option ID = 26233]
Correct Answer :-
(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
--- Content provided by FirstRanker.com ---
posiible circles is [Question ID = 6565]1. 24 [Option ID = 26252]
2. 12 [Option ID = 26254]
3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
--- Content provided by FirstRanker.com ---
Correct Answer :-20 [Option ID = 26253]
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26323]3. [Option ID = 26326]
4. [Option ID = 26325]
Correct Answer :-
[Option ID = 26325]
--- Content provided by FirstRanker.com ---
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce eitherto the left or the right peg right.
6)
--- Content provided by FirstRanker.com ---
7)[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26297]Correct Answer :-
4 [Option ID = 26297]
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26332]2. [Option ID = 26334]
3. [Option ID = 26333]
4. [Option ID = 26331]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26331]In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
[Question ID = 6619]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26468]2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
--- Content provided by FirstRanker.com ---
10)4. [Option ID = 26467]
Correct Answer :-
[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26463]4. [Option ID = 26466]
Correct Answer :-
[Option ID = 26465]
[Question ID = 7155]
--- Content provided by FirstRanker.com ---
1. a > 0 [Option ID = 28611]2. a < 0 [Option ID = 28612]
3. a=1/2 [Option ID = 28614]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
--- Content provided by FirstRanker.com ---
a < 0 [Option ID = 28612]11)
12)
[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
--- Content provided by FirstRanker.com ---
2. GRAPH I [Option ID = 26203]3. GRAPH II [Option ID = 26204]
4. GRAPH IV [Option ID = 26206]
Correct Answer :-
GRAPH I [Option ID = 26203]
--- Content provided by FirstRanker.com ---
[Question ID = 6579]1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26307]
13)
[Question ID = 6617]
1. Each colour is equally likely [Option ID = 26462]
--- Content provided by FirstRanker.com ---
2. Black [Option ID = 26461]3. Gray [Option ID = 26460]
4. White [Option ID = 26459]
Correct Answer :-
White [Option ID = 26459]
--- Content provided by FirstRanker.com ---
[Question ID = 6566]14)
15)
16)
1. IMAGE II [Option ID = 26256]
--- Content provided by FirstRanker.com ---
2. IMAGE I [Option ID = 26255]3. IMAGE IV [Option ID = 26258]
4. IMAGE III [Option ID = 26257]
Correct Answer :-
IMAGE II [Option ID = 26256]
--- Content provided by FirstRanker.com ---
[Question ID = 6611]1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
--- Content provided by FirstRanker.com ---
Correct Answer :-50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26420]4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[Question ID = 6591]
--- Content provided by FirstRanker.com ---
1. -6, -32 [Option ID = 26358]2. -6, 3 [Option ID = 26357]
3. -2, -3 [Option ID = 26356]
4. -2, -32 [Option ID = 26355]
Correct Answer :-
--- Content provided by FirstRanker.com ---
17)18)
19)
20)
-2, -32 [Option ID = 26355]
--- Content provided by FirstRanker.com ---
[Question ID = 6538]1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
--- Content provided by FirstRanker.com ---
Correct Answer :-32 [Option ID = 26145]
[Question ID = 6589]
1. unique solution [Option ID = 26347]
2. no solution [Option ID = 26349]
--- Content provided by FirstRanker.com ---
3. more than two solutions [Option ID = 26350]4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
--- Content provided by FirstRanker.com ---
1. 12 [Option ID = 26389]2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
--- Content provided by FirstRanker.com ---
10 [Option ID = 26388][Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
--- Content provided by FirstRanker.com ---
22)23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
--- Content provided by FirstRanker.com ---
Correct Answer :-4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26417]4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26209]2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
--- Content provided by FirstRanker.com ---
24 [Option ID = 26207][Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
--- Content provided by FirstRanker.com ---
4. ? 7 [Option ID = 26220]Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
--- Content provided by FirstRanker.com ---
27)[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26443]Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26330]3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
--- Content provided by FirstRanker.com ---
[Question ID = 6534]1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
--- Content provided by FirstRanker.com ---
Correct Answer :-8 [Option ID = 26127]
28)
29)
30)
--- Content provided by FirstRanker.com ---
[Question ID = 6536]1. 2/3 [Option ID = 26137]
2. 1/3 [Option ID = 26135]
3. ? 1/3 [Option ID = 26136]
4. ? 2/3 [Option ID = 26138]
--- Content provided by FirstRanker.com ---
Correct Answer :-? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
--- Content provided by FirstRanker.com ---
3. 26 [Option ID = 26442]4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26385]2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
--- Content provided by FirstRanker.com ---
2 [Option ID = 26385][Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26123]Correct Answer :-
[Option ID = 26123]
31)
32)
--- Content provided by FirstRanker.com ---
33)34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26430]4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26176]2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
--- Content provided by FirstRanker.com ---
3 [Option ID = 26177][Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
--- Content provided by FirstRanker.com ---
4. 136 [Option ID = 26400]Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
--- Content provided by FirstRanker.com ---
2. 85 [Option ID = 26369]3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
--- Content provided by FirstRanker.com ---
35)36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
--- Content provided by FirstRanker.com ---
2. 12 [Option ID = 26291]3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
--- Content provided by FirstRanker.com ---
A x B x C x E = [Question ID = 6616]
1. 240 [Option ID = 26457]
2. 70 [Option ID = 26458]
--- Content provided by FirstRanker.com ---
3. 48 [Option ID = 26456]4. 40 [Option ID = 26455]
Correct Answer :-
40 [Option ID = 26455]
38)
--- Content provided by FirstRanker.com ---
39)40)
A + B + D + E = [Question ID = 6615]
--- Content provided by FirstRanker.com ---
1. 15 [Option ID = 26454]2. 18 [Option ID = 26451]
3. 13 [Option ID = 26452]
4. 16 [Option ID = 26453]
Correct Answer :-
--- Content provided by FirstRanker.com ---
13 [Option ID = 26452][Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26249]Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
--- Content provided by FirstRanker.com ---
2. 42926 [Option ID = 26132]3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
--- Content provided by FirstRanker.com ---
41)42)
[Question ID = 6569]
1. 7:2 [Option ID = 26267]
2. 6:1 [Option ID = 26270]
--- Content provided by FirstRanker.com ---
3. 5:1 [Option ID = 26269]4. 9:2 [Option ID = 26268]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
--- Content provided by FirstRanker.com ---
1. 128 [Option ID = 26189]2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
Correct Answer :-
--- Content provided by FirstRanker.com ---
128 [Option ID = 26189][Question ID = 6570]
1. The upper right corner [Option ID = 26274]
2. The upper left corner [Option ID = 26272]
3. The lower right corner [Option ID = 26273]
--- Content provided by FirstRanker.com ---
43)44)
45)
4. The lower left corner [Option ID = 26271]
Correct Answer :-
--- Content provided by FirstRanker.com ---
The lower right corner [Option ID = 26273][Question ID = 6614]
1. 6 [Option ID = 26447]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
--- Content provided by FirstRanker.com ---
4. 8 [Option ID = 26449]Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
--- Content provided by FirstRanker.com ---
2. 12 [Option ID = 26179]3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
--- Content provided by FirstRanker.com ---
46)47)
48)
[Question ID = 6539]
1. 6 [Option ID = 26148]
--- Content provided by FirstRanker.com ---
2. 7 [Option ID = 26149]3. does not exist [Option ID = 26150]
4. 5 [Option ID = 26147]
Correct Answer :-
5 [Option ID = 26147]
--- Content provided by FirstRanker.com ---
[Question ID = 6588]1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
--- Content provided by FirstRanker.com ---
3. 1 [Option ID = 26353]4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
--- Content provided by FirstRanker.com ---
49)50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
--- Content provided by FirstRanker.com ---
3. 0 [Option ID = 26153]4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26229]2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26227][Question ID = 6595]
1. a,b,c are in HP [Option ID = 26373]
2. a,b,c are in AGP [Option ID = 26374]
3. a,b,c are in AP [Option ID = 26371]
--- Content provided by FirstRanker.com ---
4. a,b,c are in GP [Option ID = 26372]Correct Answer :-
a,b,c are in GP [Option ID = 26372]
[Question ID = 6610]
1. [Option ID = 26431]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26434]3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
--- Content provided by FirstRanker.com ---
52)53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26192]4. [Option ID = 26193]
Correct Answer :-
[Option ID = 26193]
[Question ID = 6544]
--- Content provided by FirstRanker.com ---
1. g'(-2) > g'(2) > g'(0) [Option ID = 26170]2. g'(-2) > g'(0) > g'(2) [Option ID = 26169]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
--- Content provided by FirstRanker.com ---
54)55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26263]2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26264][Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
--- Content provided by FirstRanker.com ---
4. 8 [Option ID = 26242]Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26116]3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
--- Content provided by FirstRanker.com ---
57)58)
59)
[Question ID = 6596]
1. [Option ID = 26377]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26376]3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
--- Content provided by FirstRanker.com ---
[Question ID = 6561]1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26246]4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
60)
--- Content provided by FirstRanker.com ---
61)62)
63)
Under what condition does the above system of equations have infinitely many solutions? [Question ID = 6604]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26409]2. [Option ID = 26410]
3. [Option ID = 26408]
4. [Option ID = 26407]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26408]Under what condition does the above system of equations have a unique solution? [Question ID = 6605]
1. [Option ID = 26414]
2. [Option ID = 26412]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26411]4. [Option ID = 26413]
Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26200]2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
--- Content provided by FirstRanker.com ---
0.5 [Option ID = 26202]64)
The number on the block that is in the 3rd column and the 4th row of the 100th layer is [Question ID = 6574]
--- Content provided by FirstRanker.com ---
1. 590438611224 [Option ID = 26288]2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
Correct Answer :-
--- Content provided by FirstRanker.com ---
760874499 [Option ID = 26287]65)
The sum of the numbers on the outermost blocks of the 10th layer is [Question ID = 6571]
--- Content provided by FirstRanker.com ---
1. 1016 [Option ID = 26278]2. 1020 [Option ID = 26277]
3. 512 [Option ID = 26276]
4. 508 [Option ID = 26275]
Correct Answer :-
--- Content provided by FirstRanker.com ---
66)67)
68)
--- Content provided by FirstRanker.com ---
The sum of the numbers on the diagonal blocks in the 9th layer is [Question ID = 6573]1. 20840 [Option ID = 26285]
2. 97240 [Option ID = 26283]
3. 25740 [Option ID = 26286]
4. 81364 [Option ID = 26284]
--- Content provided by FirstRanker.com ---
Correct Answer :-20840 [Option ID = 26285]
The sum of the numbers on the diagonal blocks in the 10th layer is [Question ID = 6572]
--- Content provided by FirstRanker.com ---
1. 306008 [Option ID = 26282]2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
4. 97240 [Option ID = 26279]
Correct Answer :-
--- Content provided by FirstRanker.com ---
97240 [Option ID = 26279][Question ID = 6586]
1. {62, 65, 68, 71, 75} [Option ID = 26338]
2. {60, 64, 68} [Option ID = 26335]
3. {61, 62, 63} [Option ID = 26336]
--- Content provided by FirstRanker.com ---
4. {49, 50,?, 62, 63} [Option ID = 26337]Correct Answer :-
{49, 50,?, 62, 63} [Option ID = 26337]
69)
70)
--- Content provided by FirstRanker.com ---
In which of the following pair, both of the managers have same mode of travel? [Question ID = 6624]
1. Shukla-Mishra [Option ID = 26487]
2. Rao-Mishra [Option ID = 26488]
--- Content provided by FirstRanker.com ---
3. Nair-Rao [Option ID = 26489]4. Kulkarni-Joshi [Option ID = 26490]
Correct Answer :-
Nair-Rao [Option ID = 26489]
--- Content provided by FirstRanker.com ---
Which of the following is true? [Question ID = 6622]
1. Joshi travels by road [Option ID = 26482]
2. Nair will assist Rao [Option ID = 26480]
3. Shukla conducts interviews alone [Option ID = 26481]
--- Content provided by FirstRanker.com ---
4. Kulkarni travels by air [Option ID = 26479]Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
--- Content provided by FirstRanker.com ---
Who will conduct interviews at Chandigarh? [Question ID = 6623]1. Mishra [Option ID = 26486]
2. Nair [Option ID = 26483]
FirstRanker.com - FirstRanker's Choice
1)
--- Content provided by FirstRanker.com ---
2)3)
4)
5)
DU BTech IT N Mathematical Innovations
--- Content provided by FirstRanker.com ---
Topic:- DU_J18_BTECH_Topic01the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26404]4. [Option ID = 26403]
Correct Answer :-
[Option ID = 26403]
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
--- Content provided by FirstRanker.com ---
1. (0, 1) [Option ID = 26232]2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
Correct Answer :-
--- Content provided by FirstRanker.com ---
(0, 1) [Option ID = 26232]A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
2. 12 [Option ID = 26254]
--- Content provided by FirstRanker.com ---
3. 20 [Option ID = 26253]4. 10 [Option ID = 26251]
Correct Answer :-
20 [Option ID = 26253]
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
--- Content provided by FirstRanker.com ---
eccentricity of the ellipse is [Question ID = 6583]1. [Option ID = 26324]
2. [Option ID = 26323]
3. [Option ID = 26326]
4. [Option ID = 26325]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
--- Content provided by FirstRanker.com ---
2. 1 [Option ID = 26295]3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
Correct Answer :-
4 [Option ID = 26297]
--- Content provided by FirstRanker.com ---
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
2. [Option ID = 26334]
3. [Option ID = 26333]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26331]Correct Answer :-
[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
--- Content provided by FirstRanker.com ---
8)9)
10)
4. [Option ID = 26467]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26467]In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
[Question ID = 6618]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26464]2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26465][Question ID = 7155]
1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
3. a=1/2 [Option ID = 28614]
--- Content provided by FirstRanker.com ---
4. sign of a cannot be determined [Option ID = 28613]Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
--- Content provided by FirstRanker.com ---
[Question ID = 6553]1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
4. GRAPH IV [Option ID = 26206]
--- Content provided by FirstRanker.com ---
Correct Answer :-GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26307]4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
--- Content provided by FirstRanker.com ---
[Question ID = 6617]1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
4. White [Option ID = 26459]
--- Content provided by FirstRanker.com ---
Correct Answer :-White [Option ID = 26459]
[Question ID = 6566]
14)
15)
--- Content provided by FirstRanker.com ---
16)1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
4. IMAGE III [Option ID = 26257]
--- Content provided by FirstRanker.com ---
Correct Answer :-IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
--- Content provided by FirstRanker.com ---
3. 45 [Option ID = 26438]4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26422]2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26421][Question ID = 6591]
1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
3. -2, -3 [Option ID = 26356]
--- Content provided by FirstRanker.com ---
4. -2, -32 [Option ID = 26355]Correct Answer :-
17)
18)
19)
--- Content provided by FirstRanker.com ---
20)-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26144]4. 4 [Option ID = 26143]
Correct Answer :-
32 [Option ID = 26145]
[Question ID = 6589]
--- Content provided by FirstRanker.com ---
1. unique solution [Option ID = 26347]2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
--- Content provided by FirstRanker.com ---
no solution [Option ID = 26349][Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
--- Content provided by FirstRanker.com ---
4. 8 [Option ID = 26390]Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
--- Content provided by FirstRanker.com ---
2. 9 [Option ID = 26261]21)
22)
23)
24)
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26260]4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26416]2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
--- Content provided by FirstRanker.com ---
5 [Option ID = 26418][Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
--- Content provided by FirstRanker.com ---
4. 40 [Option ID = 26210]Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
--- Content provided by FirstRanker.com ---
2. ? 6 [Option ID = 26221]3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
--- Content provided by FirstRanker.com ---
25)26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
--- Content provided by FirstRanker.com ---
2. 7 [Option ID = 26446]3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
--- Content provided by FirstRanker.com ---
[Question ID = 6584]1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26127]4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
--- Content provided by FirstRanker.com ---
29)30)
[Question ID = 6536]
1. 2/3 [Option ID = 26137]
2. 1/3 [Option ID = 26135]
--- Content provided by FirstRanker.com ---
3. ? 1/3 [Option ID = 26136]4. ? 2/3 [Option ID = 26138]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
--- Content provided by FirstRanker.com ---
1. 18 [Option ID = 26439]2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
--- Content provided by FirstRanker.com ---
21 [Option ID = 26441][Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
--- Content provided by FirstRanker.com ---
4. 3 [Option ID = 26386]Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26124]3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
--- Content provided by FirstRanker.com ---
31)32)
33)
34)
[Question ID = 6609]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26428]2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26427][Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26178]Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
--- Content provided by FirstRanker.com ---
2. 105 [Option ID = 26402]3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
--- Content provided by FirstRanker.com ---
[Question ID = 6594]1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
--- Content provided by FirstRanker.com ---
Correct Answer :-80 [Option ID = 26368]
35)
36)
37)
--- Content provided by FirstRanker.com ---
[Question ID = 6575]1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
--- Content provided by FirstRanker.com ---
Correct Answer :-11 [Option ID = 26292]
A x B x C x E = [Question ID = 6616]
--- Content provided by FirstRanker.com ---
1. 240 [Option ID = 26457]2. 70 [Option ID = 26458]
3. 48 [Option ID = 26456]
4. 40 [Option ID = 26455]
Correct Answer :-
--- Content provided by FirstRanker.com ---
40 [Option ID = 26455]38)
39)
40)
--- Content provided by FirstRanker.com ---
A + B + D + E = [Question ID = 6615]
1. 15 [Option ID = 26454]
2. 18 [Option ID = 26451]
3. 13 [Option ID = 26452]
--- Content provided by FirstRanker.com ---
4. 16 [Option ID = 26453]Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26247]3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
--- Content provided by FirstRanker.com ---
[Question ID = 6535]1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
--- Content provided by FirstRanker.com ---
Correct Answer :-42926 [Option ID = 26132]
41)
42)
[Question ID = 6569]
--- Content provided by FirstRanker.com ---
1. 7:2 [Option ID = 26267]2. 6:1 [Option ID = 26270]
3. 5:1 [Option ID = 26269]
4. 9:2 [Option ID = 26268]
Correct Answer :-
--- Content provided by FirstRanker.com ---
9:2 [Option ID = 26268][Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
--- Content provided by FirstRanker.com ---
4. 32 [Option ID = 26190]Correct Answer :-
128 [Option ID = 26189]
[Question ID = 6570]
1. The upper right corner [Option ID = 26274]
--- Content provided by FirstRanker.com ---
2. The upper left corner [Option ID = 26272]3. The lower right corner [Option ID = 26273]
43)
44)
45)
--- Content provided by FirstRanker.com ---
4. The lower left corner [Option ID = 26271]Correct Answer :-
The lower right corner [Option ID = 26273]
[Question ID = 6614]
1. 6 [Option ID = 26447]
--- Content provided by FirstRanker.com ---
2. 9 [Option ID = 26450]3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
--- Content provided by FirstRanker.com ---
[Question ID = 6547]1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
--- Content provided by FirstRanker.com ---
Correct Answer :-4 [Option ID = 26180]
46)
47)
48)
--- Content provided by FirstRanker.com ---
[Question ID = 6539]1. 6 [Option ID = 26148]
2. 7 [Option ID = 26149]
3. does not exist [Option ID = 26150]
4. 5 [Option ID = 26147]
--- Content provided by FirstRanker.com ---
Correct Answer :-5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26345]4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26354]2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
--- Content provided by FirstRanker.com ---
infinite [Option ID = 26352][Question ID = 6540]
49)
50)
51)
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26151]2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
--- Content provided by FirstRanker.com ---
2 [Option ID = 26151][Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26230]Correct Answer :-
[Option ID = 26227]
[Question ID = 6595]
1. a,b,c are in HP [Option ID = 26373]
--- Content provided by FirstRanker.com ---
2. a,b,c are in AGP [Option ID = 26374]3. a,b,c are in AP [Option ID = 26371]
4. a,b,c are in GP [Option ID = 26372]
Correct Answer :-
a,b,c are in GP [Option ID = 26372]
--- Content provided by FirstRanker.com ---
[Question ID = 6610]1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26432]
52)
53)
[Question ID = 6550]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26191]2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26193][Question ID = 6544]
1. g'(-2) > g'(2) > g'(0) [Option ID = 26170]
2. g'(-2) > g'(0) > g'(2) [Option ID = 26169]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
--- Content provided by FirstRanker.com ---
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]Correct Answer :-
54)
55)
56)
--- Content provided by FirstRanker.com ---
g'(-2) > g'(2) > g'(0) [Option ID = 26170][Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26266]Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26241]3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
--- Content provided by FirstRanker.com ---
[Question ID = 6531]1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26116]
57)
58)
59)
--- Content provided by FirstRanker.com ---
[Question ID = 6596]1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26235]4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26245]2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26243]60)
61)
62)
63)
--- Content provided by FirstRanker.com ---
Under what condition does the above system of equations have infinitely many solutions? [Question ID = 6604]
1. [Option ID = 26409]
2. [Option ID = 26410]
3. [Option ID = 26408]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26407]Correct Answer :-
[Option ID = 26408]
Under what condition does the above system of equations have a unique solution? [Question ID = 6605]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26414]2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26413][Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
--- Content provided by FirstRanker.com ---
4. 1 [Option ID = 26199]Correct Answer :-
0.5 [Option ID = 26202]
64)
--- Content provided by FirstRanker.com ---
The number on the block that is in the 3rd column and the 4th row of the 100th layer is [Question ID = 6574]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
--- Content provided by FirstRanker.com ---
4. 760874499 [Option ID = 26287]Correct Answer :-
760874499 [Option ID = 26287]
65)
--- Content provided by FirstRanker.com ---
The sum of the numbers on the outermost blocks of the 10th layer is [Question ID = 6571]
1. 1016 [Option ID = 26278]
2. 1020 [Option ID = 26277]
3. 512 [Option ID = 26276]
--- Content provided by FirstRanker.com ---
4. 508 [Option ID = 26275]Correct Answer :-
66)
67)
68)
--- Content provided by FirstRanker.com ---
The sum of the numbers on the diagonal blocks in the 9th layer is [Question ID = 6573]
1. 20840 [Option ID = 26285]
2. 97240 [Option ID = 26283]
--- Content provided by FirstRanker.com ---
3. 25740 [Option ID = 26286]4. 81364 [Option ID = 26284]
Correct Answer :-
20840 [Option ID = 26285]
--- Content provided by FirstRanker.com ---
The sum of the numbers on the diagonal blocks in the 10th layer is [Question ID = 6572]
1. 306008 [Option ID = 26282]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
--- Content provided by FirstRanker.com ---
4. 97240 [Option ID = 26279]Correct Answer :-
97240 [Option ID = 26279]
[Question ID = 6586]
1. {62, 65, 68, 71, 75} [Option ID = 26338]
--- Content provided by FirstRanker.com ---
2. {60, 64, 68} [Option ID = 26335]3. {61, 62, 63} [Option ID = 26336]
4. {49, 50,?, 62, 63} [Option ID = 26337]
Correct Answer :-
{49, 50,?, 62, 63} [Option ID = 26337]
--- Content provided by FirstRanker.com ---
69)70)
In which of the following pair, both of the managers have same mode of travel? [Question ID = 6624]
--- Content provided by FirstRanker.com ---
1. Shukla-Mishra [Option ID = 26487]2. Rao-Mishra [Option ID = 26488]
3. Nair-Rao [Option ID = 26489]
4. Kulkarni-Joshi [Option ID = 26490]
Correct Answer :-
--- Content provided by FirstRanker.com ---
Nair-Rao [Option ID = 26489]Which of the following is true? [Question ID = 6622]
1. Joshi travels by road [Option ID = 26482]
--- Content provided by FirstRanker.com ---
2. Nair will assist Rao [Option ID = 26480]3. Shukla conducts interviews alone [Option ID = 26481]
4. Kulkarni travels by air [Option ID = 26479]
Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
--- Content provided by FirstRanker.com ---
Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
2. Nair [Option ID = 26483]
--- Content provided by FirstRanker.com ---
71)72)
73)
3. Singh [Option ID = 26484]
4. Rao [Option ID = 26485]
--- Content provided by FirstRanker.com ---
Correct Answer :-Nair [Option ID = 26483]
Who goes to Delhi? [Question ID = 6621]
--- Content provided by FirstRanker.com ---
1. Data inadequate [Option ID = 26478]2. Mishra-Kulkarni [Option ID = 26475]
3. Kulkarni-Joshi [Option ID = 26477]
4. Rao-Singh [Option ID = 26476]
Correct Answer :-
--- Content provided by FirstRanker.com ---
Rao-Singh [Option ID = 26476]Where will Kulkarni conduct the interviews? [Question ID = 6620]
1. Chandigarh [Option ID = 26473]
--- Content provided by FirstRanker.com ---
2. Surat [Option ID = 26471]3. Cannot be determined [Option ID = 26474]
4. Lucknow [Option ID = 26472]
Correct Answer :-
Surat [Option ID = 26471]
--- Content provided by FirstRanker.com ---
FirstRanker.com - FirstRanker's Choice1)
2)
3)
4)
--- Content provided by FirstRanker.com ---
5)DU BTech IT N Mathematical Innovations
Topic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26405]2. [Option ID = 26406]
3. [Option ID = 26404]
4. [Option ID = 26403]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26403]A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
--- Content provided by FirstRanker.com ---
4. (0, 0) [Option ID = 26233]Correct Answer :-
(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
--- Content provided by FirstRanker.com ---
1. 24 [Option ID = 26252]2. 12 [Option ID = 26254]
3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
Correct Answer :-
--- Content provided by FirstRanker.com ---
20 [Option ID = 26253]A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26326]4. [Option ID = 26325]
Correct Answer :-
[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
--- Content provided by FirstRanker.com ---
to the left or the right peg right.6)
7)
--- Content provided by FirstRanker.com ---
[Question ID = 6576]1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
--- Content provided by FirstRanker.com ---
Correct Answer :-4 [Option ID = 26297]
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26334]3. [Option ID = 26333]
4. [Option ID = 26331]
Correct Answer :-
[Option ID = 26331]
--- Content provided by FirstRanker.com ---
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.[Question ID = 6619]
1. [Option ID = 26468]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26470]3. [Option ID = 26469]
8)
9)
10)
--- Content provided by FirstRanker.com ---
4. [Option ID = 26467]Correct Answer :-
[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26466]Correct Answer :-
[Option ID = 26465]
[Question ID = 7155]
1. a > 0 [Option ID = 28611]
--- Content provided by FirstRanker.com ---
2. a < 0 [Option ID = 28612]3. a=1/2 [Option ID = 28614]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
--- Content provided by FirstRanker.com ---
11)12)
[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
--- Content provided by FirstRanker.com ---
3. GRAPH II [Option ID = 26204]4. GRAPH IV [Option ID = 26206]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26310]2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26307]13)
[Question ID = 6617]
1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
--- Content provided by FirstRanker.com ---
3. Gray [Option ID = 26460]4. White [Option ID = 26459]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
--- Content provided by FirstRanker.com ---
14)15)
16)
1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
--- Content provided by FirstRanker.com ---
3. IMAGE IV [Option ID = 26258]4. IMAGE III [Option ID = 26257]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
--- Content provided by FirstRanker.com ---
1. 44 [Option ID = 26435]2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
--- Content provided by FirstRanker.com ---
50 [Option ID = 26436][Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26421]Correct Answer :-
[Option ID = 26421]
[Question ID = 6591]
1. -6, -32 [Option ID = 26358]
--- Content provided by FirstRanker.com ---
2. -6, 3 [Option ID = 26357]3. -2, -3 [Option ID = 26356]
4. -2, -32 [Option ID = 26355]
Correct Answer :-
17)
--- Content provided by FirstRanker.com ---
18)19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
--- Content provided by FirstRanker.com ---
1. 32 [Option ID = 26145]2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
--- Content provided by FirstRanker.com ---
32 [Option ID = 26145][Question ID = 6589]
1. unique solution [Option ID = 26347]
2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
--- Content provided by FirstRanker.com ---
4. Exactly two solutions [Option ID = 26348]Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26387]3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
--- Content provided by FirstRanker.com ---
[Question ID = 6567]1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
--- Content provided by FirstRanker.com ---
23)24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
--- Content provided by FirstRanker.com ---
4 [Option ID = 26262][Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26415]Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
--- Content provided by FirstRanker.com ---
2. 24 [Option ID = 26207]3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
--- Content provided by FirstRanker.com ---
[Question ID = 6557]1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
--- Content provided by FirstRanker.com ---
Correct Answer :-? 3 [Option ID = 26222]
25)
26)
27)
--- Content provided by FirstRanker.com ---
[Question ID = 6613]1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
--- Content provided by FirstRanker.com ---
Correct Answer :-6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26328]4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26128]2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
--- Content provided by FirstRanker.com ---
8 [Option ID = 26127]28)
29)
30)
[Question ID = 6536]
--- Content provided by FirstRanker.com ---
1. 2/3 [Option ID = 26137]2. 1/3 [Option ID = 26135]
3. ? 1/3 [Option ID = 26136]
4. ? 2/3 [Option ID = 26138]
Correct Answer :-
--- Content provided by FirstRanker.com ---
? 1/3 [Option ID = 26136][Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
--- Content provided by FirstRanker.com ---
4. 73 [Option ID = 26440]Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26383]3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
--- Content provided by FirstRanker.com ---
[Question ID = 6533]1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26123]
31)
32)
33)
--- Content provided by FirstRanker.com ---
34)[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26427]Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
--- Content provided by FirstRanker.com ---
2. 1 [Option ID = 26175]3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
--- Content provided by FirstRanker.com ---
[Question ID = 6602]1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
--- Content provided by FirstRanker.com ---
Correct Answer :-136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
--- Content provided by FirstRanker.com ---
3. 84 [Option ID = 26367]4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
--- Content provided by FirstRanker.com ---
36)37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
--- Content provided by FirstRanker.com ---
3. 10 [Option ID = 26293]4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
--- Content provided by FirstRanker.com ---
A x B x C x E = [Question ID = 6616]
1. 240 [Option ID = 26457]
2. 70 [Option ID = 26458]
3. 48 [Option ID = 26456]
--- Content provided by FirstRanker.com ---
4. 40 [Option ID = 26455]Correct Answer :-
40 [Option ID = 26455]
38)
39)
--- Content provided by FirstRanker.com ---
40)A + B + D + E = [Question ID = 6615]
1. 15 [Option ID = 26454]
--- Content provided by FirstRanker.com ---
2. 18 [Option ID = 26451]3. 13 [Option ID = 26452]
4. 16 [Option ID = 26453]
Correct Answer :-
13 [Option ID = 26452]
--- Content provided by FirstRanker.com ---
[Question ID = 6564]1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
--- Content provided by FirstRanker.com ---
3. 0 [Option ID = 26133]4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
--- Content provided by FirstRanker.com ---
42)[Question ID = 6569]
1. 7:2 [Option ID = 26267]
2. 6:1 [Option ID = 26270]
3. 5:1 [Option ID = 26269]
--- Content provided by FirstRanker.com ---
4. 9:2 [Option ID = 26268]Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
--- Content provided by FirstRanker.com ---
2. 68 [Option ID = 26188]3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
Correct Answer :-
128 [Option ID = 26189]
--- Content provided by FirstRanker.com ---
[Question ID = 6570]1. The upper right corner [Option ID = 26274]
2. The upper left corner [Option ID = 26272]
3. The lower right corner [Option ID = 26273]
43)
--- Content provided by FirstRanker.com ---
44)45)
4. The lower left corner [Option ID = 26271]
Correct Answer :-
The lower right corner [Option ID = 26273]
--- Content provided by FirstRanker.com ---
[Question ID = 6614]1. 6 [Option ID = 26447]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
--- Content provided by FirstRanker.com ---
Correct Answer :-8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26182]4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
--- Content provided by FirstRanker.com ---
47)48)
[Question ID = 6539]
1. 6 [Option ID = 26148]
2. 7 [Option ID = 26149]
--- Content provided by FirstRanker.com ---
3. does not exist [Option ID = 26150]4. 5 [Option ID = 26147]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26343]2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26344][Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
--- Content provided by FirstRanker.com ---
4. infinite [Option ID = 26352]Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
--- Content provided by FirstRanker.com ---
50)51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
--- Content provided by FirstRanker.com ---
4. ? 2 [Option ID = 26152]Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26227]3. [Option ID = 26228]
4. [Option ID = 26230]
Correct Answer :-
[Option ID = 26227]
--- Content provided by FirstRanker.com ---
[Question ID = 6595]1. a,b,c are in HP [Option ID = 26373]
2. a,b,c are in AGP [Option ID = 26374]
3. a,b,c are in AP [Option ID = 26371]
4. a,b,c are in GP [Option ID = 26372]
--- Content provided by FirstRanker.com ---
Correct Answer :-a,b,c are in GP [Option ID = 26372]
[Question ID = 6610]
1. [Option ID = 26431]
2. [Option ID = 26434]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26432]4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
--- Content provided by FirstRanker.com ---
53)[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26193]Correct Answer :-
[Option ID = 26193]
[Question ID = 6544]
1. g'(-2) > g'(2) > g'(0) [Option ID = 26170]
--- Content provided by FirstRanker.com ---
2. g'(-2) > g'(0) > g'(2) [Option ID = 26169]3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
--- Content provided by FirstRanker.com ---
55)56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26265]3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
--- Content provided by FirstRanker.com ---
[Question ID = 6562]1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
--- Content provided by FirstRanker.com ---
Correct Answer :-6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26117]4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
--- Content provided by FirstRanker.com ---
58)59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26378]4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26236]2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26235][Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26243]Correct Answer :-
[Option ID = 26243]
60)
61)
--- Content provided by FirstRanker.com ---
62)63)
Under what condition does the above system of equations have infinitely many solutions? [Question ID = 6604]
1. [Option ID = 26409]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26410]3. [Option ID = 26408]
4. [Option ID = 26407]
Correct Answer :-
[Option ID = 26408]
--- Content provided by FirstRanker.com ---
Under what condition does the above system of equations have a unique solution? [Question ID = 6605]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26413]Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26201]3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
0.5 [Option ID = 26202]
--- Content provided by FirstRanker.com ---
64)The number on the block that is in the 3rd column and the 4th row of the 100th layer is [Question ID = 6574]
1. 590438611224 [Option ID = 26288]
--- Content provided by FirstRanker.com ---
2. 634062082500 [Option ID = 26289]3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
--- Content provided by FirstRanker.com ---
65)The sum of the numbers on the outermost blocks of the 10th layer is [Question ID = 6571]
1. 1016 [Option ID = 26278]
--- Content provided by FirstRanker.com ---
2. 1020 [Option ID = 26277]3. 512 [Option ID = 26276]
4. 508 [Option ID = 26275]
Correct Answer :-
66)
--- Content provided by FirstRanker.com ---
67)68)
The sum of the numbers on the diagonal blocks in the 9th layer is [Question ID = 6573]
--- Content provided by FirstRanker.com ---
1. 20840 [Option ID = 26285]2. 97240 [Option ID = 26283]
3. 25740 [Option ID = 26286]
4. 81364 [Option ID = 26284]
Correct Answer :-
--- Content provided by FirstRanker.com ---
20840 [Option ID = 26285]The sum of the numbers on the diagonal blocks in the 10th layer is [Question ID = 6572]
1. 306008 [Option ID = 26282]
--- Content provided by FirstRanker.com ---
2. 369260 [Option ID = 26281]3. 369512 [Option ID = 26280]
4. 97240 [Option ID = 26279]
Correct Answer :-
97240 [Option ID = 26279]
--- Content provided by FirstRanker.com ---
[Question ID = 6586]1. {62, 65, 68, 71, 75} [Option ID = 26338]
2. {60, 64, 68} [Option ID = 26335]
3. {61, 62, 63} [Option ID = 26336]
4. {49, 50,?, 62, 63} [Option ID = 26337]
--- Content provided by FirstRanker.com ---
Correct Answer :-{49, 50,?, 62, 63} [Option ID = 26337]
69)
70)
--- Content provided by FirstRanker.com ---
In which of the following pair, both of the managers have same mode of travel? [Question ID = 6624]
1. Shukla-Mishra [Option ID = 26487]
2. Rao-Mishra [Option ID = 26488]
3. Nair-Rao [Option ID = 26489]
--- Content provided by FirstRanker.com ---
4. Kulkarni-Joshi [Option ID = 26490]Correct Answer :-
Nair-Rao [Option ID = 26489]
--- Content provided by FirstRanker.com ---
Which of the following is true? [Question ID = 6622]1. Joshi travels by road [Option ID = 26482]
2. Nair will assist Rao [Option ID = 26480]
3. Shukla conducts interviews alone [Option ID = 26481]
4. Kulkarni travels by air [Option ID = 26479]
--- Content provided by FirstRanker.com ---
Correct Answer :-Shukla conducts interviews alone [Option ID = 26481]
Who will conduct interviews at Chandigarh? [Question ID = 6623]
--- Content provided by FirstRanker.com ---
1. Mishra [Option ID = 26486]2. Nair [Option ID = 26483]
71)
72)
73)
--- Content provided by FirstRanker.com ---
3. Singh [Option ID = 26484]4. Rao [Option ID = 26485]
Correct Answer :-
Nair [Option ID = 26483]
--- Content provided by FirstRanker.com ---
Who goes to Delhi? [Question ID = 6621]
1. Data inadequate [Option ID = 26478]
2. Mishra-Kulkarni [Option ID = 26475]
3. Kulkarni-Joshi [Option ID = 26477]
--- Content provided by FirstRanker.com ---
4. Rao-Singh [Option ID = 26476]Correct Answer :-
Rao-Singh [Option ID = 26476]
--- Content provided by FirstRanker.com ---
Where will Kulkarni conduct the interviews? [Question ID = 6620]1. Chandigarh [Option ID = 26473]
2. Surat [Option ID = 26471]
3. Cannot be determined [Option ID = 26474]
4. Lucknow [Option ID = 26472]
--- Content provided by FirstRanker.com ---
Correct Answer :-Surat [Option ID = 26471]
74)
75)
[Question ID = 6548]
--- Content provided by FirstRanker.com ---
1. GRAPH III [Option ID = 26185]2. GRAPH I [Option ID = 26183]
3. GRAPH II [Option ID = 26184]
4. GRAPH IV [Option ID = 26186]
Correct Answer :-
--- Content provided by FirstRanker.com ---
GRAPH III [Option ID = 26185][Question ID = 6532]
1. [Option ID = 26121]
2. [Option ID = 26122]
3. [Option ID = 26120]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26119]Correct Answer :-
[Option ID = 26121]
[Question ID = 6601]
1. [Option ID = 26395]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26396]3. [Option ID = 26398]
4. [Option ID = 26397]
FirstRanker.com - FirstRanker's Choice
1)
--- Content provided by FirstRanker.com ---
2)3)
4)
5)
DU BTech IT N Mathematical Innovations
--- Content provided by FirstRanker.com ---
Topic:- DU_J18_BTECH_Topic01the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26404]4. [Option ID = 26403]
Correct Answer :-
[Option ID = 26403]
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
--- Content provided by FirstRanker.com ---
1. (0, 1) [Option ID = 26232]2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
Correct Answer :-
--- Content provided by FirstRanker.com ---
(0, 1) [Option ID = 26232]A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
2. 12 [Option ID = 26254]
--- Content provided by FirstRanker.com ---
3. 20 [Option ID = 26253]4. 10 [Option ID = 26251]
Correct Answer :-
20 [Option ID = 26253]
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
--- Content provided by FirstRanker.com ---
eccentricity of the ellipse is [Question ID = 6583]1. [Option ID = 26324]
2. [Option ID = 26323]
3. [Option ID = 26326]
4. [Option ID = 26325]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
--- Content provided by FirstRanker.com ---
2. 1 [Option ID = 26295]3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
Correct Answer :-
4 [Option ID = 26297]
--- Content provided by FirstRanker.com ---
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
2. [Option ID = 26334]
3. [Option ID = 26333]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26331]Correct Answer :-
[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
--- Content provided by FirstRanker.com ---
8)9)
10)
4. [Option ID = 26467]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26467]In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
[Question ID = 6618]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26464]2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26465][Question ID = 7155]
1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
3. a=1/2 [Option ID = 28614]
--- Content provided by FirstRanker.com ---
4. sign of a cannot be determined [Option ID = 28613]Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
--- Content provided by FirstRanker.com ---
[Question ID = 6553]1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
4. GRAPH IV [Option ID = 26206]
--- Content provided by FirstRanker.com ---
Correct Answer :-GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26307]4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
--- Content provided by FirstRanker.com ---
[Question ID = 6617]1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
4. White [Option ID = 26459]
--- Content provided by FirstRanker.com ---
Correct Answer :-White [Option ID = 26459]
[Question ID = 6566]
14)
15)
--- Content provided by FirstRanker.com ---
16)1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
4. IMAGE III [Option ID = 26257]
--- Content provided by FirstRanker.com ---
Correct Answer :-IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
--- Content provided by FirstRanker.com ---
3. 45 [Option ID = 26438]4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26422]2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26421][Question ID = 6591]
1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
3. -2, -3 [Option ID = 26356]
--- Content provided by FirstRanker.com ---
4. -2, -32 [Option ID = 26355]Correct Answer :-
17)
18)
19)
--- Content provided by FirstRanker.com ---
20)-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26144]4. 4 [Option ID = 26143]
Correct Answer :-
32 [Option ID = 26145]
[Question ID = 6589]
--- Content provided by FirstRanker.com ---
1. unique solution [Option ID = 26347]2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
--- Content provided by FirstRanker.com ---
no solution [Option ID = 26349][Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
--- Content provided by FirstRanker.com ---
4. 8 [Option ID = 26390]Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
--- Content provided by FirstRanker.com ---
2. 9 [Option ID = 26261]21)
22)
23)
24)
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26260]4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26416]2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
--- Content provided by FirstRanker.com ---
5 [Option ID = 26418][Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
--- Content provided by FirstRanker.com ---
4. 40 [Option ID = 26210]Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
--- Content provided by FirstRanker.com ---
2. ? 6 [Option ID = 26221]3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
--- Content provided by FirstRanker.com ---
25)26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
--- Content provided by FirstRanker.com ---
2. 7 [Option ID = 26446]3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
--- Content provided by FirstRanker.com ---
[Question ID = 6584]1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26127]4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
--- Content provided by FirstRanker.com ---
29)30)
[Question ID = 6536]
1. 2/3 [Option ID = 26137]
2. 1/3 [Option ID = 26135]
--- Content provided by FirstRanker.com ---
3. ? 1/3 [Option ID = 26136]4. ? 2/3 [Option ID = 26138]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
--- Content provided by FirstRanker.com ---
1. 18 [Option ID = 26439]2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
--- Content provided by FirstRanker.com ---
21 [Option ID = 26441][Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
--- Content provided by FirstRanker.com ---
4. 3 [Option ID = 26386]Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26124]3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
--- Content provided by FirstRanker.com ---
31)32)
33)
34)
[Question ID = 6609]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26428]2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26427][Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26178]Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
--- Content provided by FirstRanker.com ---
2. 105 [Option ID = 26402]3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
--- Content provided by FirstRanker.com ---
[Question ID = 6594]1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
--- Content provided by FirstRanker.com ---
Correct Answer :-80 [Option ID = 26368]
35)
36)
37)
--- Content provided by FirstRanker.com ---
[Question ID = 6575]1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
--- Content provided by FirstRanker.com ---
Correct Answer :-11 [Option ID = 26292]
A x B x C x E = [Question ID = 6616]
--- Content provided by FirstRanker.com ---
1. 240 [Option ID = 26457]2. 70 [Option ID = 26458]
3. 48 [Option ID = 26456]
4. 40 [Option ID = 26455]
Correct Answer :-
--- Content provided by FirstRanker.com ---
40 [Option ID = 26455]38)
39)
40)
--- Content provided by FirstRanker.com ---
A + B + D + E = [Question ID = 6615]
1. 15 [Option ID = 26454]
2. 18 [Option ID = 26451]
3. 13 [Option ID = 26452]
--- Content provided by FirstRanker.com ---
4. 16 [Option ID = 26453]Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26247]3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
--- Content provided by FirstRanker.com ---
[Question ID = 6535]1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
--- Content provided by FirstRanker.com ---
Correct Answer :-42926 [Option ID = 26132]
41)
42)
[Question ID = 6569]
--- Content provided by FirstRanker.com ---
1. 7:2 [Option ID = 26267]2. 6:1 [Option ID = 26270]
3. 5:1 [Option ID = 26269]
4. 9:2 [Option ID = 26268]
Correct Answer :-
--- Content provided by FirstRanker.com ---
9:2 [Option ID = 26268][Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
--- Content provided by FirstRanker.com ---
4. 32 [Option ID = 26190]Correct Answer :-
128 [Option ID = 26189]
[Question ID = 6570]
1. The upper right corner [Option ID = 26274]
--- Content provided by FirstRanker.com ---
2. The upper left corner [Option ID = 26272]3. The lower right corner [Option ID = 26273]
43)
44)
45)
--- Content provided by FirstRanker.com ---
4. The lower left corner [Option ID = 26271]Correct Answer :-
The lower right corner [Option ID = 26273]
[Question ID = 6614]
1. 6 [Option ID = 26447]
--- Content provided by FirstRanker.com ---
2. 9 [Option ID = 26450]3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
--- Content provided by FirstRanker.com ---
[Question ID = 6547]1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
--- Content provided by FirstRanker.com ---
Correct Answer :-4 [Option ID = 26180]
46)
47)
48)
--- Content provided by FirstRanker.com ---
[Question ID = 6539]1. 6 [Option ID = 26148]
2. 7 [Option ID = 26149]
3. does not exist [Option ID = 26150]
4. 5 [Option ID = 26147]
--- Content provided by FirstRanker.com ---
Correct Answer :-5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26345]4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26354]2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
--- Content provided by FirstRanker.com ---
infinite [Option ID = 26352][Question ID = 6540]
49)
50)
51)
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26151]2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
--- Content provided by FirstRanker.com ---
2 [Option ID = 26151][Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26230]Correct Answer :-
[Option ID = 26227]
[Question ID = 6595]
1. a,b,c are in HP [Option ID = 26373]
--- Content provided by FirstRanker.com ---
2. a,b,c are in AGP [Option ID = 26374]3. a,b,c are in AP [Option ID = 26371]
4. a,b,c are in GP [Option ID = 26372]
Correct Answer :-
a,b,c are in GP [Option ID = 26372]
--- Content provided by FirstRanker.com ---
[Question ID = 6610]1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26432]
52)
53)
[Question ID = 6550]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26191]2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26193][Question ID = 6544]
1. g'(-2) > g'(2) > g'(0) [Option ID = 26170]
2. g'(-2) > g'(0) > g'(2) [Option ID = 26169]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
--- Content provided by FirstRanker.com ---
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]Correct Answer :-
54)
55)
56)
--- Content provided by FirstRanker.com ---
g'(-2) > g'(2) > g'(0) [Option ID = 26170][Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26266]Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26241]3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
--- Content provided by FirstRanker.com ---
[Question ID = 6531]1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26116]
57)
58)
59)
--- Content provided by FirstRanker.com ---
[Question ID = 6596]1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26235]4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26245]2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26243]60)
61)
62)
63)
--- Content provided by FirstRanker.com ---
Under what condition does the above system of equations have infinitely many solutions? [Question ID = 6604]
1. [Option ID = 26409]
2. [Option ID = 26410]
3. [Option ID = 26408]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26407]Correct Answer :-
[Option ID = 26408]
Under what condition does the above system of equations have a unique solution? [Question ID = 6605]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26414]2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26413][Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
--- Content provided by FirstRanker.com ---
4. 1 [Option ID = 26199]Correct Answer :-
0.5 [Option ID = 26202]
64)
--- Content provided by FirstRanker.com ---
The number on the block that is in the 3rd column and the 4th row of the 100th layer is [Question ID = 6574]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
--- Content provided by FirstRanker.com ---
4. 760874499 [Option ID = 26287]Correct Answer :-
760874499 [Option ID = 26287]
65)
--- Content provided by FirstRanker.com ---
The sum of the numbers on the outermost blocks of the 10th layer is [Question ID = 6571]
1. 1016 [Option ID = 26278]
2. 1020 [Option ID = 26277]
3. 512 [Option ID = 26276]
--- Content provided by FirstRanker.com ---
4. 508 [Option ID = 26275]Correct Answer :-
66)
67)
68)
--- Content provided by FirstRanker.com ---
The sum of the numbers on the diagonal blocks in the 9th layer is [Question ID = 6573]
1. 20840 [Option ID = 26285]
2. 97240 [Option ID = 26283]
--- Content provided by FirstRanker.com ---
3. 25740 [Option ID = 26286]4. 81364 [Option ID = 26284]
Correct Answer :-
20840 [Option ID = 26285]
--- Content provided by FirstRanker.com ---
The sum of the numbers on the diagonal blocks in the 10th layer is [Question ID = 6572]
1. 306008 [Option ID = 26282]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
--- Content provided by FirstRanker.com ---
4. 97240 [Option ID = 26279]Correct Answer :-
97240 [Option ID = 26279]
[Question ID = 6586]
1. {62, 65, 68, 71, 75} [Option ID = 26338]
--- Content provided by FirstRanker.com ---
2. {60, 64, 68} [Option ID = 26335]3. {61, 62, 63} [Option ID = 26336]
4. {49, 50,?, 62, 63} [Option ID = 26337]
Correct Answer :-
{49, 50,?, 62, 63} [Option ID = 26337]
--- Content provided by FirstRanker.com ---
69)70)
In which of the following pair, both of the managers have same mode of travel? [Question ID = 6624]
--- Content provided by FirstRanker.com ---
1. Shukla-Mishra [Option ID = 26487]2. Rao-Mishra [Option ID = 26488]
3. Nair-Rao [Option ID = 26489]
4. Kulkarni-Joshi [Option ID = 26490]
Correct Answer :-
--- Content provided by FirstRanker.com ---
Nair-Rao [Option ID = 26489]Which of the following is true? [Question ID = 6622]
1. Joshi travels by road [Option ID = 26482]
--- Content provided by FirstRanker.com ---
2. Nair will assist Rao [Option ID = 26480]3. Shukla conducts interviews alone [Option ID = 26481]
4. Kulkarni travels by air [Option ID = 26479]
Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
--- Content provided by FirstRanker.com ---
Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
2. Nair [Option ID = 26483]
--- Content provided by FirstRanker.com ---
71)72)
73)
3. Singh [Option ID = 26484]
4. Rao [Option ID = 26485]
--- Content provided by FirstRanker.com ---
Correct Answer :-Nair [Option ID = 26483]
Who goes to Delhi? [Question ID = 6621]
--- Content provided by FirstRanker.com ---
1. Data inadequate [Option ID = 26478]2. Mishra-Kulkarni [Option ID = 26475]
3. Kulkarni-Joshi [Option ID = 26477]
4. Rao-Singh [Option ID = 26476]
Correct Answer :-
--- Content provided by FirstRanker.com ---
Rao-Singh [Option ID = 26476]Where will Kulkarni conduct the interviews? [Question ID = 6620]
1. Chandigarh [Option ID = 26473]
--- Content provided by FirstRanker.com ---
2. Surat [Option ID = 26471]3. Cannot be determined [Option ID = 26474]
4. Lucknow [Option ID = 26472]
Correct Answer :-
Surat [Option ID = 26471]
--- Content provided by FirstRanker.com ---
74)75)
[Question ID = 6548]
1. GRAPH III [Option ID = 26185]
2. GRAPH I [Option ID = 26183]
--- Content provided by FirstRanker.com ---
3. GRAPH II [Option ID = 26184]4. GRAPH IV [Option ID = 26186]
Correct Answer :-
GRAPH III [Option ID = 26185]
[Question ID = 6532]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26121]2. [Option ID = 26122]
3. [Option ID = 26120]
4. [Option ID = 26119]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26121][Question ID = 6601]
1. [Option ID = 26395]
2. [Option ID = 26396]
3. [Option ID = 26398]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26397]76)
77)
78)
79)
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26396]
[Question ID = 6587]
1. [Option ID = 26342]
2. [Option ID = 26340]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26339]4. [Option ID = 26341]
Correct Answer :-
[Option ID = 26341]
[Question ID = 6528]
--- Content provided by FirstRanker.com ---
1. 15 [Option ID = 26106]2. 12 [Option ID = 26103]
3. 14 [Option ID = 26104]
4. 16 [Option ID = 26105]
Correct Answer :-
--- Content provided by FirstRanker.com ---
14 [Option ID = 26104][Question ID = 6608]
1. [Option ID = 26424]
2. [Option ID = 26423]
3. [Option ID = 26426]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26425]Correct Answer :-
[Option ID = 26423]
[Question ID = 6556]
1. [Option ID = 26218]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26215]3. [Option ID = 26216]
FirstRanker.com - FirstRanker's Choice
1)
2)
--- Content provided by FirstRanker.com ---
3)4)
5)
DU BTech IT N Mathematical Innovations
Topic:- DU_J18_BTECH_Topic01
--- Content provided by FirstRanker.com ---
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
3. [Option ID = 26404]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26403]Correct Answer :-
[Option ID = 26403]
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
1. (0, 1) [Option ID = 26232]
--- Content provided by FirstRanker.com ---
2. (1, 1) [Option ID = 26234]3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
Correct Answer :-
(0, 1) [Option ID = 26232]
--- Content provided by FirstRanker.com ---
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all suchposiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
2. 12 [Option ID = 26254]
3. 20 [Option ID = 26253]
--- Content provided by FirstRanker.com ---
4. 10 [Option ID = 26251]Correct Answer :-
20 [Option ID = 26253]
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
eccentricity of the ellipse is [Question ID = 6583]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26324]2. [Option ID = 26323]
3. [Option ID = 26326]
4. [Option ID = 26325]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26325]The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26296]4. 4 [Option ID = 26297]
Correct Answer :-
4 [Option ID = 26297]
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
--- Content provided by FirstRanker.com ---
steps he is exactly three steps away from the starting point; [Question ID = 6585]1. [Option ID = 26332]
2. [Option ID = 26334]
3. [Option ID = 26333]
4. [Option ID = 26331]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
--- Content provided by FirstRanker.com ---
9)10)
4. [Option ID = 26467]
Correct Answer :-
[Option ID = 26467]
--- Content provided by FirstRanker.com ---
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.[Question ID = 6618]
1. [Option ID = 26464]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26465]3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[Option ID = 26465]
--- Content provided by FirstRanker.com ---
[Question ID = 7155]1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
3. a=1/2 [Option ID = 28614]
4. sign of a cannot be determined [Option ID = 28613]
--- Content provided by FirstRanker.com ---
Correct Answer :-a < 0 [Option ID = 28612]
11)
12)
[Question ID = 6553]
--- Content provided by FirstRanker.com ---
1. GRAPH III [Option ID = 26205]2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
4. GRAPH IV [Option ID = 26206]
Correct Answer :-
--- Content provided by FirstRanker.com ---
GRAPH I [Option ID = 26203][Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26308]Correct Answer :-
[Option ID = 26307]
13)
[Question ID = 6617]
--- Content provided by FirstRanker.com ---
1. Each colour is equally likely [Option ID = 26462]2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
4. White [Option ID = 26459]
Correct Answer :-
--- Content provided by FirstRanker.com ---
White [Option ID = 26459][Question ID = 6566]
14)
15)
16)
--- Content provided by FirstRanker.com ---
1. IMAGE II [Option ID = 26256]2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
4. IMAGE III [Option ID = 26257]
Correct Answer :-
--- Content provided by FirstRanker.com ---
IMAGE II [Option ID = 26256][Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
--- Content provided by FirstRanker.com ---
4. 25 [Option ID = 26437]Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26419]3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
--- Content provided by FirstRanker.com ---
[Question ID = 6591]1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
3. -2, -3 [Option ID = 26356]
4. -2, -32 [Option ID = 26355]
--- Content provided by FirstRanker.com ---
Correct Answer :-17)
18)
19)
20)
--- Content provided by FirstRanker.com ---
-2, -32 [Option ID = 26355][Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26143]Correct Answer :-
32 [Option ID = 26145]
[Question ID = 6589]
1. unique solution [Option ID = 26347]
--- Content provided by FirstRanker.com ---
2. no solution [Option ID = 26349]3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
--- Content provided by FirstRanker.com ---
[Question ID = 6599]1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
--- Content provided by FirstRanker.com ---
Correct Answer :-10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
--- Content provided by FirstRanker.com ---
21)22)
23)
24)
3. 8 [Option ID = 26260]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26262]Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26418]3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
--- Content provided by FirstRanker.com ---
[Question ID = 6554]1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
--- Content provided by FirstRanker.com ---
Correct Answer :-24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
--- Content provided by FirstRanker.com ---
3. ? 14 [Option ID = 26219]4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
--- Content provided by FirstRanker.com ---
26)27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
--- Content provided by FirstRanker.com ---
3. 5 [Option ID = 26444]4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26329]2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26329][Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26130]Correct Answer :-
8 [Option ID = 26127]
28)
29)
--- Content provided by FirstRanker.com ---
30)[Question ID = 6536]
1. 2/3 [Option ID = 26137]
2. 1/3 [Option ID = 26135]
3. ? 1/3 [Option ID = 26136]
--- Content provided by FirstRanker.com ---
4. ? 2/3 [Option ID = 26138]Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
--- Content provided by FirstRanker.com ---
2. 21 [Option ID = 26441]3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
--- Content provided by FirstRanker.com ---
[Question ID = 6598]1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
--- Content provided by FirstRanker.com ---
Correct Answer :-2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26125]4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
--- Content provided by FirstRanker.com ---
32)33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26429]3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
--- Content provided by FirstRanker.com ---
[Question ID = 6546]1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
--- Content provided by FirstRanker.com ---
Correct Answer :-3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
--- Content provided by FirstRanker.com ---
3. 135 [Option ID = 26399]4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
--- Content provided by FirstRanker.com ---
1. 80 [Option ID = 26368]2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
--- Content provided by FirstRanker.com ---
80 [Option ID = 26368]35)
36)
37)
[Question ID = 6575]
--- Content provided by FirstRanker.com ---
1. 11 [Option ID = 26292]2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
--- Content provided by FirstRanker.com ---
11 [Option ID = 26292]A x B x C x E = [Question ID = 6616]
1. 240 [Option ID = 26457]
--- Content provided by FirstRanker.com ---
2. 70 [Option ID = 26458]3. 48 [Option ID = 26456]
4. 40 [Option ID = 26455]
Correct Answer :-
40 [Option ID = 26455]
--- Content provided by FirstRanker.com ---
38)39)
40)
--- Content provided by FirstRanker.com ---
A + B + D + E = [Question ID = 6615]1. 15 [Option ID = 26454]
2. 18 [Option ID = 26451]
3. 13 [Option ID = 26452]
4. 16 [Option ID = 26453]
--- Content provided by FirstRanker.com ---
Correct Answer :-13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26250]4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
--- Content provided by FirstRanker.com ---
1. 21926 [Option ID = 26131]2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
--- Content provided by FirstRanker.com ---
42926 [Option ID = 26132]41)
42)
[Question ID = 6569]
1. 7:2 [Option ID = 26267]
--- Content provided by FirstRanker.com ---
2. 6:1 [Option ID = 26270]3. 5:1 [Option ID = 26269]
4. 9:2 [Option ID = 26268]
Correct Answer :-
9:2 [Option ID = 26268]
--- Content provided by FirstRanker.com ---
[Question ID = 6549]1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
--- Content provided by FirstRanker.com ---
Correct Answer :-128 [Option ID = 26189]
[Question ID = 6570]
1. The upper right corner [Option ID = 26274]
2. The upper left corner [Option ID = 26272]
--- Content provided by FirstRanker.com ---
3. The lower right corner [Option ID = 26273]43)
44)
45)
4. The lower left corner [Option ID = 26271]
--- Content provided by FirstRanker.com ---
Correct Answer :-The lower right corner [Option ID = 26273]
[Question ID = 6614]
1. 6 [Option ID = 26447]
2. 9 [Option ID = 26450]
--- Content provided by FirstRanker.com ---
3. 7 [Option ID = 26448]4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26181]2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
--- Content provided by FirstRanker.com ---
4 [Option ID = 26180]46)
47)
48)
[Question ID = 6539]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26148]2. 7 [Option ID = 26149]
3. does not exist [Option ID = 26150]
4. 5 [Option ID = 26147]
Correct Answer :-
--- Content provided by FirstRanker.com ---
5 [Option ID = 26147][Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26346]Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26351]3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
--- Content provided by FirstRanker.com ---
[Question ID = 6540]49)
50)
51)
1. 2 [Option ID = 26151]
--- Content provided by FirstRanker.com ---
2. 1 [Option ID = 26154]3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
--- Content provided by FirstRanker.com ---
[Question ID = 6559]1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26227]
[Question ID = 6595]
1. a,b,c are in HP [Option ID = 26373]
2. a,b,c are in AGP [Option ID = 26374]
--- Content provided by FirstRanker.com ---
3. a,b,c are in AP [Option ID = 26371]4. a,b,c are in GP [Option ID = 26372]
Correct Answer :-
a,b,c are in GP [Option ID = 26372]
[Question ID = 6610]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26431]2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26432]52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26194]3. [Option ID = 26192]
4. [Option ID = 26193]
Correct Answer :-
[Option ID = 26193]
--- Content provided by FirstRanker.com ---
[Question ID = 6544]1. g'(-2) > g'(2) > g'(0) [Option ID = 26170]
2. g'(-2) > g'(0) > g'(2) [Option ID = 26169]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
--- Content provided by FirstRanker.com ---
Correct Answer :-54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
--- Content provided by FirstRanker.com ---
[Question ID = 6568]1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
--- Content provided by FirstRanker.com ---
3. 6.5 [Option ID = 26240]4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26115]2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26116]57)
58)
59)
[Question ID = 6596]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26377]2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26378][Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26237]Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26244]3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
--- Content provided by FirstRanker.com ---
60)61)
62)
63)
--- Content provided by FirstRanker.com ---
Under what condition does the above system of equations have infinitely many solutions? [Question ID = 6604]1. [Option ID = 26409]
2. [Option ID = 26410]
3. [Option ID = 26408]
4. [Option ID = 26407]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26408]
Under what condition does the above system of equations have a unique solution? [Question ID = 6605]
1. [Option ID = 26414]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26412]3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
[Option ID = 26413]
--- Content provided by FirstRanker.com ---
[Question ID = 6552]1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
--- Content provided by FirstRanker.com ---
Correct Answer :-0.5 [Option ID = 26202]
64)
--- Content provided by FirstRanker.com ---
The number on the block that is in the 3rd column and the 4th row of the 100th layer is [Question ID = 6574]1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
--- Content provided by FirstRanker.com ---
Correct Answer :-760874499 [Option ID = 26287]
65)
--- Content provided by FirstRanker.com ---
The sum of the numbers on the outermost blocks of the 10th layer is [Question ID = 6571]1. 1016 [Option ID = 26278]
2. 1020 [Option ID = 26277]
3. 512 [Option ID = 26276]
4. 508 [Option ID = 26275]
--- Content provided by FirstRanker.com ---
Correct Answer :-66)
67)
68)
--- Content provided by FirstRanker.com ---
The sum of the numbers on the diagonal blocks in the 9th layer is [Question ID = 6573]
1. 20840 [Option ID = 26285]
2. 97240 [Option ID = 26283]
3. 25740 [Option ID = 26286]
--- Content provided by FirstRanker.com ---
4. 81364 [Option ID = 26284]Correct Answer :-
20840 [Option ID = 26285]
--- Content provided by FirstRanker.com ---
The sum of the numbers on the diagonal blocks in the 10th layer is [Question ID = 6572]1. 306008 [Option ID = 26282]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
4. 97240 [Option ID = 26279]
--- Content provided by FirstRanker.com ---
Correct Answer :-97240 [Option ID = 26279]
[Question ID = 6586]
1. {62, 65, 68, 71, 75} [Option ID = 26338]
2. {60, 64, 68} [Option ID = 26335]
--- Content provided by FirstRanker.com ---
3. {61, 62, 63} [Option ID = 26336]4. {49, 50,?, 62, 63} [Option ID = 26337]
Correct Answer :-
{49, 50,?, 62, 63} [Option ID = 26337]
69)
--- Content provided by FirstRanker.com ---
70)In which of the following pair, both of the managers have same mode of travel? [Question ID = 6624]
1. Shukla-Mishra [Option ID = 26487]
--- Content provided by FirstRanker.com ---
2. Rao-Mishra [Option ID = 26488]3. Nair-Rao [Option ID = 26489]
4. Kulkarni-Joshi [Option ID = 26490]
Correct Answer :-
Nair-Rao [Option ID = 26489]
--- Content provided by FirstRanker.com ---
Which of the following is true? [Question ID = 6622]
1. Joshi travels by road [Option ID = 26482]
2. Nair will assist Rao [Option ID = 26480]
--- Content provided by FirstRanker.com ---
3. Shukla conducts interviews alone [Option ID = 26481]4. Kulkarni travels by air [Option ID = 26479]
Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
--- Content provided by FirstRanker.com ---
Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
2. Nair [Option ID = 26483]
71)
--- Content provided by FirstRanker.com ---
72)73)
3. Singh [Option ID = 26484]
4. Rao [Option ID = 26485]
Correct Answer :-
--- Content provided by FirstRanker.com ---
Nair [Option ID = 26483]Who goes to Delhi? [Question ID = 6621]
1. Data inadequate [Option ID = 26478]
--- Content provided by FirstRanker.com ---
2. Mishra-Kulkarni [Option ID = 26475]3. Kulkarni-Joshi [Option ID = 26477]
4. Rao-Singh [Option ID = 26476]
Correct Answer :-
Rao-Singh [Option ID = 26476]
--- Content provided by FirstRanker.com ---
Where will Kulkarni conduct the interviews? [Question ID = 6620]
1. Chandigarh [Option ID = 26473]
2. Surat [Option ID = 26471]
--- Content provided by FirstRanker.com ---
3. Cannot be determined [Option ID = 26474]4. Lucknow [Option ID = 26472]
Correct Answer :-
Surat [Option ID = 26471]
74)
--- Content provided by FirstRanker.com ---
75)[Question ID = 6548]
1. GRAPH III [Option ID = 26185]
2. GRAPH I [Option ID = 26183]
3. GRAPH II [Option ID = 26184]
--- Content provided by FirstRanker.com ---
4. GRAPH IV [Option ID = 26186]Correct Answer :-
GRAPH III [Option ID = 26185]
[Question ID = 6532]
1. [Option ID = 26121]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26122]3. [Option ID = 26120]
4. [Option ID = 26119]
Correct Answer :-
[Option ID = 26121]
--- Content provided by FirstRanker.com ---
[Question ID = 6601]1. [Option ID = 26395]
2. [Option ID = 26396]
3. [Option ID = 26398]
4. [Option ID = 26397]
--- Content provided by FirstRanker.com ---
76)77)
78)
79)
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26396][Question ID = 6587]
1. [Option ID = 26342]
2. [Option ID = 26340]
3. [Option ID = 26339]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26341]Correct Answer :-
[Option ID = 26341]
[Question ID = 6528]
1. 15 [Option ID = 26106]
--- Content provided by FirstRanker.com ---
2. 12 [Option ID = 26103]3. 14 [Option ID = 26104]
4. 16 [Option ID = 26105]
Correct Answer :-
14 [Option ID = 26104]
--- Content provided by FirstRanker.com ---
[Question ID = 6608]1. [Option ID = 26424]
2. [Option ID = 26423]
3. [Option ID = 26426]
4. [Option ID = 26425]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26423]
[Question ID = 6556]
1. [Option ID = 26218]
2. [Option ID = 26215]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26216]80)
81)
82)
83)
--- Content provided by FirstRanker.com ---
4. [Option ID = 26217]Correct Answer :-
[Option ID = 26217]
[Question ID = 6542]
1. [Option ID = 26159]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26162]3. [Option ID = 26160]
4. [Option ID = 26161]
Correct Answer :-
[Option ID = 26161]
--- Content provided by FirstRanker.com ---
[Question ID = 6597]1. 2 [Option ID = 26381]
2. 0 [Option ID = 26379]
3. 1 [Option ID = 26380]
4. 3 [Option ID = 26382]
--- Content provided by FirstRanker.com ---
Correct Answer :-2 [Option ID = 26381]
[Question ID = 6545]
1. 666 [Option ID = 26172]
2. 900 [Option ID = 26171]
--- Content provided by FirstRanker.com ---
3. 810 [Option ID = 26174]4. 342 [Option ID = 26173]
Correct Answer :-
900 [Option ID = 26171]
FirstRanker.com - FirstRanker's Choice
--- Content provided by FirstRanker.com ---
1)2)
3)
4)
5)
--- Content provided by FirstRanker.com ---
DU BTech IT N Mathematical InnovationsTopic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
1. [Option ID = 26405]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26406]3. [Option ID = 26404]
4. [Option ID = 26403]
Correct Answer :-
[Option ID = 26403]
--- Content provided by FirstRanker.com ---
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
--- Content provided by FirstRanker.com ---
Correct Answer :-(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
--- Content provided by FirstRanker.com ---
2. 12 [Option ID = 26254]3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
Correct Answer :-
20 [Option ID = 26253]
--- Content provided by FirstRanker.com ---
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then theeccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
3. [Option ID = 26326]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26325]Correct Answer :-
[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)
7)
[Question ID = 6576]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26298]2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
Correct Answer :-
--- Content provided by FirstRanker.com ---
4 [Option ID = 26297]A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
2. [Option ID = 26334]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26333]4. [Option ID = 26331]
Correct Answer :-
[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26469]8)
9)
10)
4. [Option ID = 26467]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26465]
[Question ID = 7155]
1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
--- Content provided by FirstRanker.com ---
3. a=1/2 [Option ID = 28614]4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
--- Content provided by FirstRanker.com ---
12)[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
--- Content provided by FirstRanker.com ---
4. GRAPH IV [Option ID = 26206]Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26309]3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
--- Content provided by FirstRanker.com ---
13)[Question ID = 6617]
1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
--- Content provided by FirstRanker.com ---
4. White [Option ID = 26459]Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
--- Content provided by FirstRanker.com ---
15)16)
1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
--- Content provided by FirstRanker.com ---
4. IMAGE III [Option ID = 26257]Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
--- Content provided by FirstRanker.com ---
2. 50 [Option ID = 26436]3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
--- Content provided by FirstRanker.com ---
[Question ID = 6607]1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26421]
[Question ID = 6591]
1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
--- Content provided by FirstRanker.com ---
3. -2, -3 [Option ID = 26356]4. -2, -32 [Option ID = 26355]
Correct Answer :-
17)
18)
--- Content provided by FirstRanker.com ---
19)20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26146]3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
32 [Option ID = 26145]
--- Content provided by FirstRanker.com ---
[Question ID = 6589]1. unique solution [Option ID = 26347]
2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
--- Content provided by FirstRanker.com ---
Correct Answer :-no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
--- Content provided by FirstRanker.com ---
3. 10 [Option ID = 26388]4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26259]2. 9 [Option ID = 26261]
21)
22)
23)
--- Content provided by FirstRanker.com ---
24)3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
--- Content provided by FirstRanker.com ---
[Question ID = 6606]1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
--- Content provided by FirstRanker.com ---
Correct Answer :-5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26208]4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
--- Content provided by FirstRanker.com ---
1. ? 3 [Option ID = 26222]2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
--- Content provided by FirstRanker.com ---
? 3 [Option ID = 26222]25)
26)
27)
[Question ID = 6613]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26445]2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
--- Content provided by FirstRanker.com ---
6 [Option ID = 26445][Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26327]Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26129]3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
--- Content provided by FirstRanker.com ---
28)29)
30)
[Question ID = 6536]
1. 2/3 [Option ID = 26137]
--- Content provided by FirstRanker.com ---
2. 1/3 [Option ID = 26135]3. ? 1/3 [Option ID = 26136]
4. ? 2/3 [Option ID = 26138]
Correct Answer :-
? 1/3 [Option ID = 26136]
--- Content provided by FirstRanker.com ---
[Question ID = 6612]1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
--- Content provided by FirstRanker.com ---
Correct Answer :-21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
--- Content provided by FirstRanker.com ---
3. 1 [Option ID = 26384]4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26126]2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26123]31)
32)
33)
34)
--- Content provided by FirstRanker.com ---
[Question ID = 6609]1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26177]4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
--- Content provided by FirstRanker.com ---
1. 455 [Option ID = 26401]2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
--- Content provided by FirstRanker.com ---
136 [Option ID = 26400][Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
--- Content provided by FirstRanker.com ---
4. 83 [Option ID = 26370]Correct Answer :-
80 [Option ID = 26368]
35)
36)
--- Content provided by FirstRanker.com ---
37)[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
--- Content provided by FirstRanker.com ---
4. 17 [Option ID = 26294]Correct Answer :-
11 [Option ID = 26292]
--- Content provided by FirstRanker.com ---
A x B x C x E = [Question ID = 6616]1. 240 [Option ID = 26457]
2. 70 [Option ID = 26458]
3. 48 [Option ID = 26456]
4. 40 [Option ID = 26455]
--- Content provided by FirstRanker.com ---
Correct Answer :-40 [Option ID = 26455]
38)
39)
40)
--- Content provided by FirstRanker.com ---
A + B + D + E = [Question ID = 6615]
1. 15 [Option ID = 26454]
2. 18 [Option ID = 26451]
--- Content provided by FirstRanker.com ---
3. 13 [Option ID = 26452]4. 16 [Option ID = 26453]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26248]2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26250][Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
--- Content provided by FirstRanker.com ---
4. -1 [Option ID = 26134]Correct Answer :-
42926 [Option ID = 26132]
41)
42)
--- Content provided by FirstRanker.com ---
[Question ID = 6569]1. 7:2 [Option ID = 26267]
2. 6:1 [Option ID = 26270]
3. 5:1 [Option ID = 26269]
4. 9:2 [Option ID = 26268]
--- Content provided by FirstRanker.com ---
Correct Answer :-9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
--- Content provided by FirstRanker.com ---
3. 34 [Option ID = 26187]4. 32 [Option ID = 26190]
Correct Answer :-
128 [Option ID = 26189]
[Question ID = 6570]
--- Content provided by FirstRanker.com ---
1. The upper right corner [Option ID = 26274]2. The upper left corner [Option ID = 26272]
3. The lower right corner [Option ID = 26273]
43)
44)
--- Content provided by FirstRanker.com ---
45)4. The lower left corner [Option ID = 26271]
Correct Answer :-
The lower right corner [Option ID = 26273]
[Question ID = 6614]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26447]2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
--- Content provided by FirstRanker.com ---
8 [Option ID = 26449][Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26180]Correct Answer :-
4 [Option ID = 26180]
46)
47)
--- Content provided by FirstRanker.com ---
48)[Question ID = 6539]
1. 6 [Option ID = 26148]
2. 7 [Option ID = 26149]
3. does not exist [Option ID = 26150]
--- Content provided by FirstRanker.com ---
4. 5 [Option ID = 26147]Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26344]3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
--- Content provided by FirstRanker.com ---
[Question ID = 6590]1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
--- Content provided by FirstRanker.com ---
Correct Answer :-infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
--- Content provided by FirstRanker.com ---
51)1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
--- Content provided by FirstRanker.com ---
Correct Answer :-2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26228]4. [Option ID = 26230]
Correct Answer :-
[Option ID = 26227]
[Question ID = 6595]
--- Content provided by FirstRanker.com ---
1. a,b,c are in HP [Option ID = 26373]2. a,b,c are in AGP [Option ID = 26374]
3. a,b,c are in AP [Option ID = 26371]
4. a,b,c are in GP [Option ID = 26372]
Correct Answer :-
--- Content provided by FirstRanker.com ---
a,b,c are in GP [Option ID = 26372][Question ID = 6610]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26433]Correct Answer :-
[Option ID = 26432]
52)
53)
--- Content provided by FirstRanker.com ---
[Question ID = 6550]1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26193]
[Question ID = 6544]
1. g'(-2) > g'(2) > g'(0) [Option ID = 26170]
2. g'(-2) > g'(0) > g'(2) [Option ID = 26169]
--- Content provided by FirstRanker.com ---
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
--- Content provided by FirstRanker.com ---
56)g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26264]4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
--- Content provided by FirstRanker.com ---
1. 0 [Option ID = 26239]2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
--- Content provided by FirstRanker.com ---
6.5 [Option ID = 26240][Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26118]Correct Answer :-
[Option ID = 26116]
57)
58)
--- Content provided by FirstRanker.com ---
59)[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26375]Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26238]3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
--- Content provided by FirstRanker.com ---
[Question ID = 6563]1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26243]
60)
61)
62)
--- Content provided by FirstRanker.com ---
63)Under what condition does the above system of equations have infinitely many solutions? [Question ID = 6604]
1. [Option ID = 26409]
2. [Option ID = 26410]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26408]4. [Option ID = 26407]
Correct Answer :-
[Option ID = 26408]
--- Content provided by FirstRanker.com ---
Under what condition does the above system of equations have a unique solution? [Question ID = 6605]1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
--- Content provided by FirstRanker.com ---
3. 0.5 [Option ID = 26202]4. 1 [Option ID = 26199]
Correct Answer :-
0.5 [Option ID = 26202]
64)
--- Content provided by FirstRanker.com ---
The number on the block that is in the 3rd column and the 4th row of the 100th layer is [Question ID = 6574]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
--- Content provided by FirstRanker.com ---
3. 66701250 [Option ID = 26290]4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
65)
--- Content provided by FirstRanker.com ---
The sum of the numbers on the outermost blocks of the 10th layer is [Question ID = 6571]
1. 1016 [Option ID = 26278]
2. 1020 [Option ID = 26277]
--- Content provided by FirstRanker.com ---
3. 512 [Option ID = 26276]4. 508 [Option ID = 26275]
Correct Answer :-
66)
67)
--- Content provided by FirstRanker.com ---
68)The sum of the numbers on the diagonal blocks in the 9th layer is [Question ID = 6573]
1. 20840 [Option ID = 26285]
--- Content provided by FirstRanker.com ---
2. 97240 [Option ID = 26283]3. 25740 [Option ID = 26286]
4. 81364 [Option ID = 26284]
Correct Answer :-
20840 [Option ID = 26285]
--- Content provided by FirstRanker.com ---
The sum of the numbers on the diagonal blocks in the 10th layer is [Question ID = 6572]
1. 306008 [Option ID = 26282]
2. 369260 [Option ID = 26281]
--- Content provided by FirstRanker.com ---
3. 369512 [Option ID = 26280]4. 97240 [Option ID = 26279]
Correct Answer :-
97240 [Option ID = 26279]
[Question ID = 6586]
--- Content provided by FirstRanker.com ---
1. {62, 65, 68, 71, 75} [Option ID = 26338]2. {60, 64, 68} [Option ID = 26335]
3. {61, 62, 63} [Option ID = 26336]
4. {49, 50,?, 62, 63} [Option ID = 26337]
Correct Answer :-
--- Content provided by FirstRanker.com ---
{49, 50,?, 62, 63} [Option ID = 26337]69)
70)
--- Content provided by FirstRanker.com ---
In which of the following pair, both of the managers have same mode of travel? [Question ID = 6624]1. Shukla-Mishra [Option ID = 26487]
2. Rao-Mishra [Option ID = 26488]
3. Nair-Rao [Option ID = 26489]
4. Kulkarni-Joshi [Option ID = 26490]
--- Content provided by FirstRanker.com ---
Correct Answer :-Nair-Rao [Option ID = 26489]
Which of the following is true? [Question ID = 6622]
--- Content provided by FirstRanker.com ---
1. Joshi travels by road [Option ID = 26482]2. Nair will assist Rao [Option ID = 26480]
3. Shukla conducts interviews alone [Option ID = 26481]
4. Kulkarni travels by air [Option ID = 26479]
Correct Answer :-
--- Content provided by FirstRanker.com ---
Shukla conducts interviews alone [Option ID = 26481]Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
--- Content provided by FirstRanker.com ---
2. Nair [Option ID = 26483]71)
72)
73)
3. Singh [Option ID = 26484]
--- Content provided by FirstRanker.com ---
4. Rao [Option ID = 26485]Correct Answer :-
Nair [Option ID = 26483]
--- Content provided by FirstRanker.com ---
Who goes to Delhi? [Question ID = 6621]1. Data inadequate [Option ID = 26478]
2. Mishra-Kulkarni [Option ID = 26475]
3. Kulkarni-Joshi [Option ID = 26477]
4. Rao-Singh [Option ID = 26476]
--- Content provided by FirstRanker.com ---
Correct Answer :-Rao-Singh [Option ID = 26476]
Where will Kulkarni conduct the interviews? [Question ID = 6620]
--- Content provided by FirstRanker.com ---
1. Chandigarh [Option ID = 26473]2. Surat [Option ID = 26471]
3. Cannot be determined [Option ID = 26474]
4. Lucknow [Option ID = 26472]
Correct Answer :-
--- Content provided by FirstRanker.com ---
Surat [Option ID = 26471]74)
75)
[Question ID = 6548]
1. GRAPH III [Option ID = 26185]
--- Content provided by FirstRanker.com ---
2. GRAPH I [Option ID = 26183]3. GRAPH II [Option ID = 26184]
4. GRAPH IV [Option ID = 26186]
Correct Answer :-
GRAPH III [Option ID = 26185]
--- Content provided by FirstRanker.com ---
[Question ID = 6532]1. [Option ID = 26121]
2. [Option ID = 26122]
3. [Option ID = 26120]
4. [Option ID = 26119]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26121]
[Question ID = 6601]
1. [Option ID = 26395]
2. [Option ID = 26396]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26398]4. [Option ID = 26397]
76)
77)
78)
--- Content provided by FirstRanker.com ---
79)Correct Answer :-
[Option ID = 26396]
[Question ID = 6587]
1. [Option ID = 26342]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26340]3. [Option ID = 26339]
4. [Option ID = 26341]
Correct Answer :-
[Option ID = 26341]
--- Content provided by FirstRanker.com ---
[Question ID = 6528]1. 15 [Option ID = 26106]
2. 12 [Option ID = 26103]
3. 14 [Option ID = 26104]
4. 16 [Option ID = 26105]
--- Content provided by FirstRanker.com ---
Correct Answer :-14 [Option ID = 26104]
[Question ID = 6608]
1. [Option ID = 26424]
2. [Option ID = 26423]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26426]4. [Option ID = 26425]
Correct Answer :-
[Option ID = 26423]
[Question ID = 6556]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26218]2. [Option ID = 26215]
3. [Option ID = 26216]
80)
81)
--- Content provided by FirstRanker.com ---
82)83)
4. [Option ID = 26217]
Correct Answer :-
[Option ID = 26217]
--- Content provided by FirstRanker.com ---
[Question ID = 6542]1. [Option ID = 26159]
2. [Option ID = 26162]
3. [Option ID = 26160]
4. [Option ID = 26161]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26161]
[Question ID = 6597]
1. 2 [Option ID = 26381]
2. 0 [Option ID = 26379]
--- Content provided by FirstRanker.com ---
3. 1 [Option ID = 26380]4. 3 [Option ID = 26382]
Correct Answer :-
2 [Option ID = 26381]
[Question ID = 6545]
--- Content provided by FirstRanker.com ---
1. 666 [Option ID = 26172]2. 900 [Option ID = 26171]
3. 810 [Option ID = 26174]
4. 342 [Option ID = 26173]
Correct Answer :-
--- Content provided by FirstRanker.com ---
900 [Option ID = 26171]84)
85)
86)
87)
--- Content provided by FirstRanker.com ---
[Question ID = 6558]1. 144 [Option ID = 26223]
2. 72 [Option ID = 26226]
3. 576 [Option ID = 26225]
4. 288 [Option ID = 26224]
--- Content provided by FirstRanker.com ---
Correct Answer :-576 [Option ID = 26225]
[Question ID = 6593]
1. [Option ID = 26364]
2. [Option ID = 26363]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26366]4. [Option ID = 26365]
Correct Answer :-
[Option ID = 26364]
[Question ID = 6529]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26109]2. [Option ID = 26108]
3. [Option ID = 26110]
4. [Option ID = 26107]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26109][Question ID = 6592]
1. 1 [Option ID = 26359]
2. 5 [Option ID = 26361]
3. 3 [Option ID = 26360]
--- Content provided by FirstRanker.com ---
4. 9 [Option ID = 26362]Correct Answer :-
3 [Option ID = 26360]
FirstRanker.com - FirstRanker's Choice
1)
--- Content provided by FirstRanker.com ---
2)3)
4)
5)
DU BTech IT N Mathematical Innovations
--- Content provided by FirstRanker.com ---
Topic:- DU_J18_BTECH_Topic01the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26404]4. [Option ID = 26403]
Correct Answer :-
[Option ID = 26403]
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
--- Content provided by FirstRanker.com ---
1. (0, 1) [Option ID = 26232]2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
Correct Answer :-
--- Content provided by FirstRanker.com ---
(0, 1) [Option ID = 26232]A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
2. 12 [Option ID = 26254]
--- Content provided by FirstRanker.com ---
3. 20 [Option ID = 26253]4. 10 [Option ID = 26251]
Correct Answer :-
20 [Option ID = 26253]
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
--- Content provided by FirstRanker.com ---
eccentricity of the ellipse is [Question ID = 6583]1. [Option ID = 26324]
2. [Option ID = 26323]
3. [Option ID = 26326]
4. [Option ID = 26325]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
--- Content provided by FirstRanker.com ---
2. 1 [Option ID = 26295]3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
Correct Answer :-
4 [Option ID = 26297]
--- Content provided by FirstRanker.com ---
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
2. [Option ID = 26334]
3. [Option ID = 26333]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26331]Correct Answer :-
[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
--- Content provided by FirstRanker.com ---
8)9)
10)
4. [Option ID = 26467]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26467]In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
[Question ID = 6618]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26464]2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26465][Question ID = 7155]
1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
3. a=1/2 [Option ID = 28614]
--- Content provided by FirstRanker.com ---
4. sign of a cannot be determined [Option ID = 28613]Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
--- Content provided by FirstRanker.com ---
[Question ID = 6553]1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
4. GRAPH IV [Option ID = 26206]
--- Content provided by FirstRanker.com ---
Correct Answer :-GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26307]4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
--- Content provided by FirstRanker.com ---
[Question ID = 6617]1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
4. White [Option ID = 26459]
--- Content provided by FirstRanker.com ---
Correct Answer :-White [Option ID = 26459]
[Question ID = 6566]
14)
15)
--- Content provided by FirstRanker.com ---
16)1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
4. IMAGE III [Option ID = 26257]
--- Content provided by FirstRanker.com ---
Correct Answer :-IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
--- Content provided by FirstRanker.com ---
3. 45 [Option ID = 26438]4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26422]2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26421][Question ID = 6591]
1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
3. -2, -3 [Option ID = 26356]
--- Content provided by FirstRanker.com ---
4. -2, -32 [Option ID = 26355]Correct Answer :-
17)
18)
19)
--- Content provided by FirstRanker.com ---
20)-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26144]4. 4 [Option ID = 26143]
Correct Answer :-
32 [Option ID = 26145]
[Question ID = 6589]
--- Content provided by FirstRanker.com ---
1. unique solution [Option ID = 26347]2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
--- Content provided by FirstRanker.com ---
no solution [Option ID = 26349][Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
--- Content provided by FirstRanker.com ---
4. 8 [Option ID = 26390]Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
--- Content provided by FirstRanker.com ---
2. 9 [Option ID = 26261]21)
22)
23)
24)
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26260]4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26416]2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
--- Content provided by FirstRanker.com ---
5 [Option ID = 26418][Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
--- Content provided by FirstRanker.com ---
4. 40 [Option ID = 26210]Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
--- Content provided by FirstRanker.com ---
2. ? 6 [Option ID = 26221]3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
--- Content provided by FirstRanker.com ---
25)26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
--- Content provided by FirstRanker.com ---
2. 7 [Option ID = 26446]3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
--- Content provided by FirstRanker.com ---
[Question ID = 6584]1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26127]4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
--- Content provided by FirstRanker.com ---
29)30)
[Question ID = 6536]
1. 2/3 [Option ID = 26137]
2. 1/3 [Option ID = 26135]
--- Content provided by FirstRanker.com ---
3. ? 1/3 [Option ID = 26136]4. ? 2/3 [Option ID = 26138]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
--- Content provided by FirstRanker.com ---
1. 18 [Option ID = 26439]2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
--- Content provided by FirstRanker.com ---
21 [Option ID = 26441][Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
--- Content provided by FirstRanker.com ---
4. 3 [Option ID = 26386]Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26124]3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
--- Content provided by FirstRanker.com ---
31)32)
33)
34)
[Question ID = 6609]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26428]2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26427][Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26178]Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
--- Content provided by FirstRanker.com ---
2. 105 [Option ID = 26402]3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
--- Content provided by FirstRanker.com ---
[Question ID = 6594]1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
--- Content provided by FirstRanker.com ---
Correct Answer :-80 [Option ID = 26368]
35)
36)
37)
--- Content provided by FirstRanker.com ---
[Question ID = 6575]1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
--- Content provided by FirstRanker.com ---
Correct Answer :-11 [Option ID = 26292]
A x B x C x E = [Question ID = 6616]
--- Content provided by FirstRanker.com ---
1. 240 [Option ID = 26457]2. 70 [Option ID = 26458]
3. 48 [Option ID = 26456]
4. 40 [Option ID = 26455]
Correct Answer :-
--- Content provided by FirstRanker.com ---
40 [Option ID = 26455]38)
39)
40)
--- Content provided by FirstRanker.com ---
A + B + D + E = [Question ID = 6615]
1. 15 [Option ID = 26454]
2. 18 [Option ID = 26451]
3. 13 [Option ID = 26452]
--- Content provided by FirstRanker.com ---
4. 16 [Option ID = 26453]Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26247]3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
--- Content provided by FirstRanker.com ---
[Question ID = 6535]1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
--- Content provided by FirstRanker.com ---
Correct Answer :-42926 [Option ID = 26132]
41)
42)
[Question ID = 6569]
--- Content provided by FirstRanker.com ---
1. 7:2 [Option ID = 26267]2. 6:1 [Option ID = 26270]
3. 5:1 [Option ID = 26269]
4. 9:2 [Option ID = 26268]
Correct Answer :-
--- Content provided by FirstRanker.com ---
9:2 [Option ID = 26268][Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
--- Content provided by FirstRanker.com ---
4. 32 [Option ID = 26190]Correct Answer :-
128 [Option ID = 26189]
[Question ID = 6570]
1. The upper right corner [Option ID = 26274]
--- Content provided by FirstRanker.com ---
2. The upper left corner [Option ID = 26272]3. The lower right corner [Option ID = 26273]
43)
44)
45)
--- Content provided by FirstRanker.com ---
4. The lower left corner [Option ID = 26271]Correct Answer :-
The lower right corner [Option ID = 26273]
[Question ID = 6614]
1. 6 [Option ID = 26447]
--- Content provided by FirstRanker.com ---
2. 9 [Option ID = 26450]3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
--- Content provided by FirstRanker.com ---
[Question ID = 6547]1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
--- Content provided by FirstRanker.com ---
Correct Answer :-4 [Option ID = 26180]
46)
47)
48)
--- Content provided by FirstRanker.com ---
[Question ID = 6539]1. 6 [Option ID = 26148]
2. 7 [Option ID = 26149]
3. does not exist [Option ID = 26150]
4. 5 [Option ID = 26147]
--- Content provided by FirstRanker.com ---
Correct Answer :-5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26345]4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26354]2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
--- Content provided by FirstRanker.com ---
infinite [Option ID = 26352][Question ID = 6540]
49)
50)
51)
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26151]2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
--- Content provided by FirstRanker.com ---
2 [Option ID = 26151][Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26230]Correct Answer :-
[Option ID = 26227]
[Question ID = 6595]
1. a,b,c are in HP [Option ID = 26373]
--- Content provided by FirstRanker.com ---
2. a,b,c are in AGP [Option ID = 26374]3. a,b,c are in AP [Option ID = 26371]
4. a,b,c are in GP [Option ID = 26372]
Correct Answer :-
a,b,c are in GP [Option ID = 26372]
--- Content provided by FirstRanker.com ---
[Question ID = 6610]1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26432]
52)
53)
[Question ID = 6550]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26191]2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26193][Question ID = 6544]
1. g'(-2) > g'(2) > g'(0) [Option ID = 26170]
2. g'(-2) > g'(0) > g'(2) [Option ID = 26169]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
--- Content provided by FirstRanker.com ---
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]Correct Answer :-
54)
55)
56)
--- Content provided by FirstRanker.com ---
g'(-2) > g'(2) > g'(0) [Option ID = 26170][Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26266]Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26241]3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
--- Content provided by FirstRanker.com ---
[Question ID = 6531]1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26116]
57)
58)
59)
--- Content provided by FirstRanker.com ---
[Question ID = 6596]1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26235]4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26245]2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26243]60)
61)
62)
63)
--- Content provided by FirstRanker.com ---
Under what condition does the above system of equations have infinitely many solutions? [Question ID = 6604]
1. [Option ID = 26409]
2. [Option ID = 26410]
3. [Option ID = 26408]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26407]Correct Answer :-
[Option ID = 26408]
Under what condition does the above system of equations have a unique solution? [Question ID = 6605]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26414]2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26413][Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
--- Content provided by FirstRanker.com ---
4. 1 [Option ID = 26199]Correct Answer :-
0.5 [Option ID = 26202]
64)
--- Content provided by FirstRanker.com ---
The number on the block that is in the 3rd column and the 4th row of the 100th layer is [Question ID = 6574]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
--- Content provided by FirstRanker.com ---
4. 760874499 [Option ID = 26287]Correct Answer :-
760874499 [Option ID = 26287]
65)
--- Content provided by FirstRanker.com ---
The sum of the numbers on the outermost blocks of the 10th layer is [Question ID = 6571]
1. 1016 [Option ID = 26278]
2. 1020 [Option ID = 26277]
3. 512 [Option ID = 26276]
--- Content provided by FirstRanker.com ---
4. 508 [Option ID = 26275]Correct Answer :-
66)
67)
68)
--- Content provided by FirstRanker.com ---
The sum of the numbers on the diagonal blocks in the 9th layer is [Question ID = 6573]
1. 20840 [Option ID = 26285]
2. 97240 [Option ID = 26283]
--- Content provided by FirstRanker.com ---
3. 25740 [Option ID = 26286]4. 81364 [Option ID = 26284]
Correct Answer :-
20840 [Option ID = 26285]
--- Content provided by FirstRanker.com ---
The sum of the numbers on the diagonal blocks in the 10th layer is [Question ID = 6572]
1. 306008 [Option ID = 26282]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
--- Content provided by FirstRanker.com ---
4. 97240 [Option ID = 26279]Correct Answer :-
97240 [Option ID = 26279]
[Question ID = 6586]
1. {62, 65, 68, 71, 75} [Option ID = 26338]
--- Content provided by FirstRanker.com ---
2. {60, 64, 68} [Option ID = 26335]3. {61, 62, 63} [Option ID = 26336]
4. {49, 50,?, 62, 63} [Option ID = 26337]
Correct Answer :-
{49, 50,?, 62, 63} [Option ID = 26337]
--- Content provided by FirstRanker.com ---
69)70)
In which of the following pair, both of the managers have same mode of travel? [Question ID = 6624]
--- Content provided by FirstRanker.com ---
1. Shukla-Mishra [Option ID = 26487]2. Rao-Mishra [Option ID = 26488]
3. Nair-Rao [Option ID = 26489]
4. Kulkarni-Joshi [Option ID = 26490]
Correct Answer :-
--- Content provided by FirstRanker.com ---
Nair-Rao [Option ID = 26489]Which of the following is true? [Question ID = 6622]
1. Joshi travels by road [Option ID = 26482]
--- Content provided by FirstRanker.com ---
2. Nair will assist Rao [Option ID = 26480]3. Shukla conducts interviews alone [Option ID = 26481]
4. Kulkarni travels by air [Option ID = 26479]
Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
--- Content provided by FirstRanker.com ---
Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
2. Nair [Option ID = 26483]
--- Content provided by FirstRanker.com ---
71)72)
73)
3. Singh [Option ID = 26484]
4. Rao [Option ID = 26485]
--- Content provided by FirstRanker.com ---
Correct Answer :-Nair [Option ID = 26483]
Who goes to Delhi? [Question ID = 6621]
--- Content provided by FirstRanker.com ---
1. Data inadequate [Option ID = 26478]2. Mishra-Kulkarni [Option ID = 26475]
3. Kulkarni-Joshi [Option ID = 26477]
4. Rao-Singh [Option ID = 26476]
Correct Answer :-
--- Content provided by FirstRanker.com ---
Rao-Singh [Option ID = 26476]Where will Kulkarni conduct the interviews? [Question ID = 6620]
1. Chandigarh [Option ID = 26473]
--- Content provided by FirstRanker.com ---
2. Surat [Option ID = 26471]3. Cannot be determined [Option ID = 26474]
4. Lucknow [Option ID = 26472]
Correct Answer :-
Surat [Option ID = 26471]
--- Content provided by FirstRanker.com ---
74)75)
[Question ID = 6548]
1. GRAPH III [Option ID = 26185]
2. GRAPH I [Option ID = 26183]
--- Content provided by FirstRanker.com ---
3. GRAPH II [Option ID = 26184]4. GRAPH IV [Option ID = 26186]
Correct Answer :-
GRAPH III [Option ID = 26185]
[Question ID = 6532]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26121]2. [Option ID = 26122]
3. [Option ID = 26120]
4. [Option ID = 26119]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26121][Question ID = 6601]
1. [Option ID = 26395]
2. [Option ID = 26396]
3. [Option ID = 26398]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26397]76)
77)
78)
79)
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26396]
[Question ID = 6587]
1. [Option ID = 26342]
2. [Option ID = 26340]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26339]4. [Option ID = 26341]
Correct Answer :-
[Option ID = 26341]
[Question ID = 6528]
--- Content provided by FirstRanker.com ---
1. 15 [Option ID = 26106]2. 12 [Option ID = 26103]
3. 14 [Option ID = 26104]
4. 16 [Option ID = 26105]
Correct Answer :-
--- Content provided by FirstRanker.com ---
14 [Option ID = 26104][Question ID = 6608]
1. [Option ID = 26424]
2. [Option ID = 26423]
3. [Option ID = 26426]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26425]Correct Answer :-
[Option ID = 26423]
[Question ID = 6556]
1. [Option ID = 26218]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26215]3. [Option ID = 26216]
80)
81)
82)
--- Content provided by FirstRanker.com ---
83)4. [Option ID = 26217]
Correct Answer :-
[Option ID = 26217]
[Question ID = 6542]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26159]2. [Option ID = 26162]
3. [Option ID = 26160]
4. [Option ID = 26161]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26161][Question ID = 6597]
1. 2 [Option ID = 26381]
2. 0 [Option ID = 26379]
3. 1 [Option ID = 26380]
--- Content provided by FirstRanker.com ---
4. 3 [Option ID = 26382]Correct Answer :-
2 [Option ID = 26381]
[Question ID = 6545]
1. 666 [Option ID = 26172]
--- Content provided by FirstRanker.com ---
2. 900 [Option ID = 26171]3. 810 [Option ID = 26174]
4. 342 [Option ID = 26173]
Correct Answer :-
900 [Option ID = 26171]
--- Content provided by FirstRanker.com ---
84)85)
86)
87)
[Question ID = 6558]
--- Content provided by FirstRanker.com ---
1. 144 [Option ID = 26223]2. 72 [Option ID = 26226]
3. 576 [Option ID = 26225]
4. 288 [Option ID = 26224]
Correct Answer :-
--- Content provided by FirstRanker.com ---
576 [Option ID = 26225][Question ID = 6593]
1. [Option ID = 26364]
2. [Option ID = 26363]
3. [Option ID = 26366]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26365]Correct Answer :-
[Option ID = 26364]
[Question ID = 6529]
1. [Option ID = 26109]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26108]3. [Option ID = 26110]
4. [Option ID = 26107]
Correct Answer :-
[Option ID = 26109]
--- Content provided by FirstRanker.com ---
[Question ID = 6592]1. 1 [Option ID = 26359]
2. 5 [Option ID = 26361]
3. 3 [Option ID = 26360]
4. 9 [Option ID = 26362]
--- Content provided by FirstRanker.com ---
Correct Answer :-3 [Option ID = 26360]
88)
89)
[Question ID = 6551]
--- Content provided by FirstRanker.com ---
1. 3.5 [Option ID = 26195]2. 1 [Option ID = 26196]
3. -3 [Option ID = 26197]
4. 2 [Option ID = 26198]
Correct Answer :-
--- Content provided by FirstRanker.com ---
3.5 [Option ID = 26195][Question ID = 6578]
1. 7/36 [Option ID = 26306]
2. 19/108 [Option ID = 26305]
3. 1/3 [Option ID = 26303]
--- Content provided by FirstRanker.com ---
4. 4/27 [Option ID = 26304]Correct Answer :-
1/3 [Option ID = 26303]
FirstRanker.com - FirstRanker's Choice
1)
--- Content provided by FirstRanker.com ---
2)3)
4)
5)
DU BTech IT N Mathematical Innovations
--- Content provided by FirstRanker.com ---
Topic:- DU_J18_BTECH_Topic01the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26404]4. [Option ID = 26403]
Correct Answer :-
[Option ID = 26403]
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
--- Content provided by FirstRanker.com ---
1. (0, 1) [Option ID = 26232]2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
Correct Answer :-
--- Content provided by FirstRanker.com ---
(0, 1) [Option ID = 26232]A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
2. 12 [Option ID = 26254]
--- Content provided by FirstRanker.com ---
3. 20 [Option ID = 26253]4. 10 [Option ID = 26251]
Correct Answer :-
20 [Option ID = 26253]
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
--- Content provided by FirstRanker.com ---
eccentricity of the ellipse is [Question ID = 6583]1. [Option ID = 26324]
2. [Option ID = 26323]
3. [Option ID = 26326]
4. [Option ID = 26325]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
--- Content provided by FirstRanker.com ---
2. 1 [Option ID = 26295]3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
Correct Answer :-
4 [Option ID = 26297]
--- Content provided by FirstRanker.com ---
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
2. [Option ID = 26334]
3. [Option ID = 26333]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26331]Correct Answer :-
[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
--- Content provided by FirstRanker.com ---
8)9)
10)
4. [Option ID = 26467]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26467]In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
[Question ID = 6618]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26464]2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26465][Question ID = 7155]
1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
3. a=1/2 [Option ID = 28614]
--- Content provided by FirstRanker.com ---
4. sign of a cannot be determined [Option ID = 28613]Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
--- Content provided by FirstRanker.com ---
[Question ID = 6553]1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
4. GRAPH IV [Option ID = 26206]
--- Content provided by FirstRanker.com ---
Correct Answer :-GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26307]4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
--- Content provided by FirstRanker.com ---
[Question ID = 6617]1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
4. White [Option ID = 26459]
--- Content provided by FirstRanker.com ---
Correct Answer :-White [Option ID = 26459]
[Question ID = 6566]
14)
15)
--- Content provided by FirstRanker.com ---
16)1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
4. IMAGE III [Option ID = 26257]
--- Content provided by FirstRanker.com ---
Correct Answer :-IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
--- Content provided by FirstRanker.com ---
3. 45 [Option ID = 26438]4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26422]2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26421][Question ID = 6591]
1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
3. -2, -3 [Option ID = 26356]
--- Content provided by FirstRanker.com ---
4. -2, -32 [Option ID = 26355]Correct Answer :-
17)
18)
19)
--- Content provided by FirstRanker.com ---
20)-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26144]4. 4 [Option ID = 26143]
Correct Answer :-
32 [Option ID = 26145]
[Question ID = 6589]
--- Content provided by FirstRanker.com ---
1. unique solution [Option ID = 26347]2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
--- Content provided by FirstRanker.com ---
no solution [Option ID = 26349][Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
--- Content provided by FirstRanker.com ---
4. 8 [Option ID = 26390]Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
--- Content provided by FirstRanker.com ---
2. 9 [Option ID = 26261]21)
22)
23)
24)
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26260]4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26416]2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
--- Content provided by FirstRanker.com ---
5 [Option ID = 26418][Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
--- Content provided by FirstRanker.com ---
4. 40 [Option ID = 26210]Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
--- Content provided by FirstRanker.com ---
2. ? 6 [Option ID = 26221]3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
--- Content provided by FirstRanker.com ---
25)26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
--- Content provided by FirstRanker.com ---
2. 7 [Option ID = 26446]3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
--- Content provided by FirstRanker.com ---
[Question ID = 6584]1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26127]4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
--- Content provided by FirstRanker.com ---
29)30)
[Question ID = 6536]
1. 2/3 [Option ID = 26137]
2. 1/3 [Option ID = 26135]
--- Content provided by FirstRanker.com ---
3. ? 1/3 [Option ID = 26136]4. ? 2/3 [Option ID = 26138]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
--- Content provided by FirstRanker.com ---
1. 18 [Option ID = 26439]2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
--- Content provided by FirstRanker.com ---
21 [Option ID = 26441][Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
--- Content provided by FirstRanker.com ---
4. 3 [Option ID = 26386]Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26124]3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
--- Content provided by FirstRanker.com ---
31)32)
33)
34)
[Question ID = 6609]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26428]2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26427][Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26178]Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
--- Content provided by FirstRanker.com ---
2. 105 [Option ID = 26402]3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
--- Content provided by FirstRanker.com ---
[Question ID = 6594]1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
--- Content provided by FirstRanker.com ---
Correct Answer :-80 [Option ID = 26368]
35)
36)
37)
--- Content provided by FirstRanker.com ---
[Question ID = 6575]1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
--- Content provided by FirstRanker.com ---
Correct Answer :-11 [Option ID = 26292]
A x B x C x E = [Question ID = 6616]
--- Content provided by FirstRanker.com ---
1. 240 [Option ID = 26457]2. 70 [Option ID = 26458]
3. 48 [Option ID = 26456]
4. 40 [Option ID = 26455]
Correct Answer :-
--- Content provided by FirstRanker.com ---
40 [Option ID = 26455]38)
39)
40)
--- Content provided by FirstRanker.com ---
A + B + D + E = [Question ID = 6615]
1. 15 [Option ID = 26454]
2. 18 [Option ID = 26451]
3. 13 [Option ID = 26452]
--- Content provided by FirstRanker.com ---
4. 16 [Option ID = 26453]Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26247]3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
--- Content provided by FirstRanker.com ---
[Question ID = 6535]1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
--- Content provided by FirstRanker.com ---
Correct Answer :-42926 [Option ID = 26132]
41)
42)
[Question ID = 6569]
--- Content provided by FirstRanker.com ---
1. 7:2 [Option ID = 26267]2. 6:1 [Option ID = 26270]
3. 5:1 [Option ID = 26269]
4. 9:2 [Option ID = 26268]
Correct Answer :-
--- Content provided by FirstRanker.com ---
9:2 [Option ID = 26268][Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
--- Content provided by FirstRanker.com ---
4. 32 [Option ID = 26190]Correct Answer :-
128 [Option ID = 26189]
[Question ID = 6570]
1. The upper right corner [Option ID = 26274]
--- Content provided by FirstRanker.com ---
2. The upper left corner [Option ID = 26272]3. The lower right corner [Option ID = 26273]
43)
44)
45)
--- Content provided by FirstRanker.com ---
4. The lower left corner [Option ID = 26271]Correct Answer :-
The lower right corner [Option ID = 26273]
[Question ID = 6614]
1. 6 [Option ID = 26447]
--- Content provided by FirstRanker.com ---
2. 9 [Option ID = 26450]3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
--- Content provided by FirstRanker.com ---
[Question ID = 6547]1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
--- Content provided by FirstRanker.com ---
Correct Answer :-4 [Option ID = 26180]
46)
47)
48)
--- Content provided by FirstRanker.com ---
[Question ID = 6539]1. 6 [Option ID = 26148]
2. 7 [Option ID = 26149]
3. does not exist [Option ID = 26150]
4. 5 [Option ID = 26147]
--- Content provided by FirstRanker.com ---
Correct Answer :-5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26345]4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26354]2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
--- Content provided by FirstRanker.com ---
infinite [Option ID = 26352][Question ID = 6540]
49)
50)
51)
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26151]2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
--- Content provided by FirstRanker.com ---
2 [Option ID = 26151][Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26230]Correct Answer :-
[Option ID = 26227]
[Question ID = 6595]
1. a,b,c are in HP [Option ID = 26373]
--- Content provided by FirstRanker.com ---
2. a,b,c are in AGP [Option ID = 26374]3. a,b,c are in AP [Option ID = 26371]
4. a,b,c are in GP [Option ID = 26372]
Correct Answer :-
a,b,c are in GP [Option ID = 26372]
--- Content provided by FirstRanker.com ---
[Question ID = 6610]1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26432]
52)
53)
[Question ID = 6550]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26191]2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26193][Question ID = 6544]
1. g'(-2) > g'(2) > g'(0) [Option ID = 26170]
2. g'(-2) > g'(0) > g'(2) [Option ID = 26169]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
--- Content provided by FirstRanker.com ---
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]Correct Answer :-
54)
55)
56)
--- Content provided by FirstRanker.com ---
g'(-2) > g'(2) > g'(0) [Option ID = 26170][Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26266]Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26241]3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
--- Content provided by FirstRanker.com ---
[Question ID = 6531]1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26116]
57)
58)
59)
--- Content provided by FirstRanker.com ---
[Question ID = 6596]1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26235]4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26245]2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26243]60)
61)
62)
63)
--- Content provided by FirstRanker.com ---
Under what condition does the above system of equations have infinitely many solutions? [Question ID = 6604]
1. [Option ID = 26409]
2. [Option ID = 26410]
3. [Option ID = 26408]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26407]Correct Answer :-
[Option ID = 26408]
Under what condition does the above system of equations have a unique solution? [Question ID = 6605]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26414]2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26413][Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
--- Content provided by FirstRanker.com ---
4. 1 [Option ID = 26199]Correct Answer :-
0.5 [Option ID = 26202]
64)
--- Content provided by FirstRanker.com ---
The number on the block that is in the 3rd column and the 4th row of the 100th layer is [Question ID = 6574]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
--- Content provided by FirstRanker.com ---
4. 760874499 [Option ID = 26287]Correct Answer :-
760874499 [Option ID = 26287]
65)
--- Content provided by FirstRanker.com ---
The sum of the numbers on the outermost blocks of the 10th layer is [Question ID = 6571]
1. 1016 [Option ID = 26278]
2. 1020 [Option ID = 26277]
3. 512 [Option ID = 26276]
--- Content provided by FirstRanker.com ---
4. 508 [Option ID = 26275]Correct Answer :-
66)
67)
68)
--- Content provided by FirstRanker.com ---
The sum of the numbers on the diagonal blocks in the 9th layer is [Question ID = 6573]
1. 20840 [Option ID = 26285]
2. 97240 [Option ID = 26283]
--- Content provided by FirstRanker.com ---
3. 25740 [Option ID = 26286]4. 81364 [Option ID = 26284]
Correct Answer :-
20840 [Option ID = 26285]
--- Content provided by FirstRanker.com ---
The sum of the numbers on the diagonal blocks in the 10th layer is [Question ID = 6572]
1. 306008 [Option ID = 26282]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
--- Content provided by FirstRanker.com ---
4. 97240 [Option ID = 26279]Correct Answer :-
97240 [Option ID = 26279]
[Question ID = 6586]
1. {62, 65, 68, 71, 75} [Option ID = 26338]
--- Content provided by FirstRanker.com ---
2. {60, 64, 68} [Option ID = 26335]3. {61, 62, 63} [Option ID = 26336]
4. {49, 50,?, 62, 63} [Option ID = 26337]
Correct Answer :-
{49, 50,?, 62, 63} [Option ID = 26337]
--- Content provided by FirstRanker.com ---
69)70)
In which of the following pair, both of the managers have same mode of travel? [Question ID = 6624]
--- Content provided by FirstRanker.com ---
1. Shukla-Mishra [Option ID = 26487]2. Rao-Mishra [Option ID = 26488]
3. Nair-Rao [Option ID = 26489]
4. Kulkarni-Joshi [Option ID = 26490]
Correct Answer :-
--- Content provided by FirstRanker.com ---
Nair-Rao [Option ID = 26489]Which of the following is true? [Question ID = 6622]
1. Joshi travels by road [Option ID = 26482]
--- Content provided by FirstRanker.com ---
2. Nair will assist Rao [Option ID = 26480]3. Shukla conducts interviews alone [Option ID = 26481]
4. Kulkarni travels by air [Option ID = 26479]
Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
--- Content provided by FirstRanker.com ---
Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
2. Nair [Option ID = 26483]
--- Content provided by FirstRanker.com ---
71)72)
73)
3. Singh [Option ID = 26484]
4. Rao [Option ID = 26485]
--- Content provided by FirstRanker.com ---
Correct Answer :-Nair [Option ID = 26483]
Who goes to Delhi? [Question ID = 6621]
--- Content provided by FirstRanker.com ---
1. Data inadequate [Option ID = 26478]2. Mishra-Kulkarni [Option ID = 26475]
3. Kulkarni-Joshi [Option ID = 26477]
4. Rao-Singh [Option ID = 26476]
Correct Answer :-
--- Content provided by FirstRanker.com ---
Rao-Singh [Option ID = 26476]Where will Kulkarni conduct the interviews? [Question ID = 6620]
1. Chandigarh [Option ID = 26473]
--- Content provided by FirstRanker.com ---
2. Surat [Option ID = 26471]3. Cannot be determined [Option ID = 26474]
4. Lucknow [Option ID = 26472]
Correct Answer :-
Surat [Option ID = 26471]
--- Content provided by FirstRanker.com ---
74)75)
[Question ID = 6548]
1. GRAPH III [Option ID = 26185]
2. GRAPH I [Option ID = 26183]
--- Content provided by FirstRanker.com ---
3. GRAPH II [Option ID = 26184]4. GRAPH IV [Option ID = 26186]
Correct Answer :-
GRAPH III [Option ID = 26185]
[Question ID = 6532]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26121]2. [Option ID = 26122]
3. [Option ID = 26120]
4. [Option ID = 26119]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26121][Question ID = 6601]
1. [Option ID = 26395]
2. [Option ID = 26396]
3. [Option ID = 26398]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26397]76)
77)
78)
79)
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26396]
[Question ID = 6587]
1. [Option ID = 26342]
2. [Option ID = 26340]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26339]4. [Option ID = 26341]
Correct Answer :-
[Option ID = 26341]
[Question ID = 6528]
--- Content provided by FirstRanker.com ---
1. 15 [Option ID = 26106]2. 12 [Option ID = 26103]
3. 14 [Option ID = 26104]
4. 16 [Option ID = 26105]
Correct Answer :-
--- Content provided by FirstRanker.com ---
14 [Option ID = 26104][Question ID = 6608]
1. [Option ID = 26424]
2. [Option ID = 26423]
3. [Option ID = 26426]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26425]Correct Answer :-
[Option ID = 26423]
[Question ID = 6556]
1. [Option ID = 26218]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26215]3. [Option ID = 26216]
80)
81)
82)
--- Content provided by FirstRanker.com ---
83)4. [Option ID = 26217]
Correct Answer :-
[Option ID = 26217]
[Question ID = 6542]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26159]2. [Option ID = 26162]
3. [Option ID = 26160]
4. [Option ID = 26161]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26161][Question ID = 6597]
1. 2 [Option ID = 26381]
2. 0 [Option ID = 26379]
3. 1 [Option ID = 26380]
--- Content provided by FirstRanker.com ---
4. 3 [Option ID = 26382]Correct Answer :-
2 [Option ID = 26381]
[Question ID = 6545]
1. 666 [Option ID = 26172]
--- Content provided by FirstRanker.com ---
2. 900 [Option ID = 26171]3. 810 [Option ID = 26174]
4. 342 [Option ID = 26173]
Correct Answer :-
900 [Option ID = 26171]
--- Content provided by FirstRanker.com ---
84)85)
86)
87)
[Question ID = 6558]
--- Content provided by FirstRanker.com ---
1. 144 [Option ID = 26223]2. 72 [Option ID = 26226]
3. 576 [Option ID = 26225]
4. 288 [Option ID = 26224]
Correct Answer :-
--- Content provided by FirstRanker.com ---
576 [Option ID = 26225][Question ID = 6593]
1. [Option ID = 26364]
2. [Option ID = 26363]
3. [Option ID = 26366]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26365]Correct Answer :-
[Option ID = 26364]
[Question ID = 6529]
1. [Option ID = 26109]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26108]3. [Option ID = 26110]
4. [Option ID = 26107]
Correct Answer :-
[Option ID = 26109]
--- Content provided by FirstRanker.com ---
[Question ID = 6592]1. 1 [Option ID = 26359]
2. 5 [Option ID = 26361]
3. 3 [Option ID = 26360]
4. 9 [Option ID = 26362]
--- Content provided by FirstRanker.com ---
Correct Answer :-3 [Option ID = 26360]
88)
89)
[Question ID = 6551]
--- Content provided by FirstRanker.com ---
1. 3.5 [Option ID = 26195]2. 1 [Option ID = 26196]
3. -3 [Option ID = 26197]
4. 2 [Option ID = 26198]
Correct Answer :-
--- Content provided by FirstRanker.com ---
3.5 [Option ID = 26195][Question ID = 6578]
1. 7/36 [Option ID = 26306]
2. 19/108 [Option ID = 26305]
3. 1/3 [Option ID = 26303]
--- Content provided by FirstRanker.com ---
4. 4/27 [Option ID = 26304]Correct Answer :-
1/3 [Option ID = 26303]
90)
--- Content provided by FirstRanker.com ---
If the bug starts from point G, the probability of reaching A in 2 moves or less is
[Question ID = 6580]
1. 1 [Option ID = 26314]
--- Content provided by FirstRanker.com ---
2. 5/9 [Option ID = 26311]3. 1/3 [Option ID = 26312]
4. 5/18 [Option ID = 26313]
Correct Answer :-
5/18 [Option ID = 26313]
--- Content provided by FirstRanker.com ---
Starting form any point, what is the probability that the bug reaches point A in 2 moves or less? [Question ID = 6581]
1. 5/18 [Option ID = 26318]
2. 1/6 [Option ID = 26315]
--- Content provided by FirstRanker.com ---
3. 22/63 [Option ID = 26316]4. 1/18 [Option ID = 26317]
Correct Answer :-
FirstRanker.com - FirstRanker's Choice
1)
--- Content provided by FirstRanker.com ---
2)3)
4)
5)
DU BTech IT N Mathematical Innovations
--- Content provided by FirstRanker.com ---
Topic:- DU_J18_BTECH_Topic01the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26404]4. [Option ID = 26403]
Correct Answer :-
[Option ID = 26403]
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
--- Content provided by FirstRanker.com ---
1. (0, 1) [Option ID = 26232]2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
Correct Answer :-
--- Content provided by FirstRanker.com ---
(0, 1) [Option ID = 26232]A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
2. 12 [Option ID = 26254]
--- Content provided by FirstRanker.com ---
3. 20 [Option ID = 26253]4. 10 [Option ID = 26251]
Correct Answer :-
20 [Option ID = 26253]
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
--- Content provided by FirstRanker.com ---
eccentricity of the ellipse is [Question ID = 6583]1. [Option ID = 26324]
2. [Option ID = 26323]
3. [Option ID = 26326]
4. [Option ID = 26325]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
--- Content provided by FirstRanker.com ---
2. 1 [Option ID = 26295]3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
Correct Answer :-
4 [Option ID = 26297]
--- Content provided by FirstRanker.com ---
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
2. [Option ID = 26334]
3. [Option ID = 26333]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26331]Correct Answer :-
[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
--- Content provided by FirstRanker.com ---
8)9)
10)
4. [Option ID = 26467]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26467]In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
[Question ID = 6618]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26464]2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26465][Question ID = 7155]
1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
3. a=1/2 [Option ID = 28614]
--- Content provided by FirstRanker.com ---
4. sign of a cannot be determined [Option ID = 28613]Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
--- Content provided by FirstRanker.com ---
[Question ID = 6553]1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
4. GRAPH IV [Option ID = 26206]
--- Content provided by FirstRanker.com ---
Correct Answer :-GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26307]4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
--- Content provided by FirstRanker.com ---
[Question ID = 6617]1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
4. White [Option ID = 26459]
--- Content provided by FirstRanker.com ---
Correct Answer :-White [Option ID = 26459]
[Question ID = 6566]
14)
15)
--- Content provided by FirstRanker.com ---
16)1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
4. IMAGE III [Option ID = 26257]
--- Content provided by FirstRanker.com ---
Correct Answer :-IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
--- Content provided by FirstRanker.com ---
3. 45 [Option ID = 26438]4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26422]2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26421][Question ID = 6591]
1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
3. -2, -3 [Option ID = 26356]
--- Content provided by FirstRanker.com ---
4. -2, -32 [Option ID = 26355]Correct Answer :-
17)
18)
19)
--- Content provided by FirstRanker.com ---
20)-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26144]4. 4 [Option ID = 26143]
Correct Answer :-
32 [Option ID = 26145]
[Question ID = 6589]
--- Content provided by FirstRanker.com ---
1. unique solution [Option ID = 26347]2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
--- Content provided by FirstRanker.com ---
no solution [Option ID = 26349][Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
--- Content provided by FirstRanker.com ---
4. 8 [Option ID = 26390]Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
--- Content provided by FirstRanker.com ---
2. 9 [Option ID = 26261]21)
22)
23)
24)
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26260]4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26416]2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
--- Content provided by FirstRanker.com ---
5 [Option ID = 26418][Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
--- Content provided by FirstRanker.com ---
4. 40 [Option ID = 26210]Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
--- Content provided by FirstRanker.com ---
2. ? 6 [Option ID = 26221]3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
--- Content provided by FirstRanker.com ---
25)26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
--- Content provided by FirstRanker.com ---
2. 7 [Option ID = 26446]3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
--- Content provided by FirstRanker.com ---
[Question ID = 6584]1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26127]4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
--- Content provided by FirstRanker.com ---
29)30)
[Question ID = 6536]
1. 2/3 [Option ID = 26137]
2. 1/3 [Option ID = 26135]
--- Content provided by FirstRanker.com ---
3. ? 1/3 [Option ID = 26136]4. ? 2/3 [Option ID = 26138]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
--- Content provided by FirstRanker.com ---
1. 18 [Option ID = 26439]2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
--- Content provided by FirstRanker.com ---
21 [Option ID = 26441][Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
--- Content provided by FirstRanker.com ---
4. 3 [Option ID = 26386]Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26124]3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
--- Content provided by FirstRanker.com ---
31)32)
33)
34)
[Question ID = 6609]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26428]2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26427][Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26178]Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
--- Content provided by FirstRanker.com ---
2. 105 [Option ID = 26402]3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
--- Content provided by FirstRanker.com ---
[Question ID = 6594]1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
--- Content provided by FirstRanker.com ---
Correct Answer :-80 [Option ID = 26368]
35)
36)
37)
--- Content provided by FirstRanker.com ---
[Question ID = 6575]1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
--- Content provided by FirstRanker.com ---
Correct Answer :-11 [Option ID = 26292]
A x B x C x E = [Question ID = 6616]
--- Content provided by FirstRanker.com ---
1. 240 [Option ID = 26457]2. 70 [Option ID = 26458]
3. 48 [Option ID = 26456]
4. 40 [Option ID = 26455]
Correct Answer :-
--- Content provided by FirstRanker.com ---
40 [Option ID = 26455]38)
39)
40)
--- Content provided by FirstRanker.com ---
A + B + D + E = [Question ID = 6615]
1. 15 [Option ID = 26454]
2. 18 [Option ID = 26451]
3. 13 [Option ID = 26452]
--- Content provided by FirstRanker.com ---
4. 16 [Option ID = 26453]Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26247]3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
--- Content provided by FirstRanker.com ---
[Question ID = 6535]1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
--- Content provided by FirstRanker.com ---
Correct Answer :-42926 [Option ID = 26132]
41)
42)
[Question ID = 6569]
--- Content provided by FirstRanker.com ---
1. 7:2 [Option ID = 26267]2. 6:1 [Option ID = 26270]
3. 5:1 [Option ID = 26269]
4. 9:2 [Option ID = 26268]
Correct Answer :-
--- Content provided by FirstRanker.com ---
9:2 [Option ID = 26268][Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
--- Content provided by FirstRanker.com ---
4. 32 [Option ID = 26190]Correct Answer :-
128 [Option ID = 26189]
[Question ID = 6570]
1. The upper right corner [Option ID = 26274]
--- Content provided by FirstRanker.com ---
2. The upper left corner [Option ID = 26272]3. The lower right corner [Option ID = 26273]
43)
44)
45)
--- Content provided by FirstRanker.com ---
4. The lower left corner [Option ID = 26271]Correct Answer :-
The lower right corner [Option ID = 26273]
[Question ID = 6614]
1. 6 [Option ID = 26447]
--- Content provided by FirstRanker.com ---
2. 9 [Option ID = 26450]3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
--- Content provided by FirstRanker.com ---
[Question ID = 6547]1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
--- Content provided by FirstRanker.com ---
Correct Answer :-4 [Option ID = 26180]
46)
47)
48)
--- Content provided by FirstRanker.com ---
[Question ID = 6539]1. 6 [Option ID = 26148]
2. 7 [Option ID = 26149]
3. does not exist [Option ID = 26150]
4. 5 [Option ID = 26147]
--- Content provided by FirstRanker.com ---
Correct Answer :-5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26345]4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26354]2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
--- Content provided by FirstRanker.com ---
infinite [Option ID = 26352][Question ID = 6540]
49)
50)
51)
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26151]2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
--- Content provided by FirstRanker.com ---
2 [Option ID = 26151][Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26230]Correct Answer :-
[Option ID = 26227]
[Question ID = 6595]
1. a,b,c are in HP [Option ID = 26373]
--- Content provided by FirstRanker.com ---
2. a,b,c are in AGP [Option ID = 26374]3. a,b,c are in AP [Option ID = 26371]
4. a,b,c are in GP [Option ID = 26372]
Correct Answer :-
a,b,c are in GP [Option ID = 26372]
--- Content provided by FirstRanker.com ---
[Question ID = 6610]1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26432]
52)
53)
[Question ID = 6550]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26191]2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26193][Question ID = 6544]
1. g'(-2) > g'(2) > g'(0) [Option ID = 26170]
2. g'(-2) > g'(0) > g'(2) [Option ID = 26169]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
--- Content provided by FirstRanker.com ---
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]Correct Answer :-
54)
55)
56)
--- Content provided by FirstRanker.com ---
g'(-2) > g'(2) > g'(0) [Option ID = 26170][Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26266]Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26241]3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
--- Content provided by FirstRanker.com ---
[Question ID = 6531]1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26116]
57)
58)
59)
--- Content provided by FirstRanker.com ---
[Question ID = 6596]1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26235]4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26245]2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26243]60)
61)
62)
63)
--- Content provided by FirstRanker.com ---
Under what condition does the above system of equations have infinitely many solutions? [Question ID = 6604]
1. [Option ID = 26409]
2. [Option ID = 26410]
3. [Option ID = 26408]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26407]Correct Answer :-
[Option ID = 26408]
Under what condition does the above system of equations have a unique solution? [Question ID = 6605]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26414]2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26413][Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
--- Content provided by FirstRanker.com ---
4. 1 [Option ID = 26199]Correct Answer :-
0.5 [Option ID = 26202]
64)
--- Content provided by FirstRanker.com ---
The number on the block that is in the 3rd column and the 4th row of the 100th layer is [Question ID = 6574]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
--- Content provided by FirstRanker.com ---
4. 760874499 [Option ID = 26287]Correct Answer :-
760874499 [Option ID = 26287]
65)
--- Content provided by FirstRanker.com ---
The sum of the numbers on the outermost blocks of the 10th layer is [Question ID = 6571]
1. 1016 [Option ID = 26278]
2. 1020 [Option ID = 26277]
3. 512 [Option ID = 26276]
--- Content provided by FirstRanker.com ---
4. 508 [Option ID = 26275]Correct Answer :-
66)
67)
68)
--- Content provided by FirstRanker.com ---
The sum of the numbers on the diagonal blocks in the 9th layer is [Question ID = 6573]
1. 20840 [Option ID = 26285]
2. 97240 [Option ID = 26283]
--- Content provided by FirstRanker.com ---
3. 25740 [Option ID = 26286]4. 81364 [Option ID = 26284]
Correct Answer :-
20840 [Option ID = 26285]
--- Content provided by FirstRanker.com ---
The sum of the numbers on the diagonal blocks in the 10th layer is [Question ID = 6572]
1. 306008 [Option ID = 26282]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
--- Content provided by FirstRanker.com ---
4. 97240 [Option ID = 26279]Correct Answer :-
97240 [Option ID = 26279]
[Question ID = 6586]
1. {62, 65, 68, 71, 75} [Option ID = 26338]
--- Content provided by FirstRanker.com ---
2. {60, 64, 68} [Option ID = 26335]3. {61, 62, 63} [Option ID = 26336]
4. {49, 50,?, 62, 63} [Option ID = 26337]
Correct Answer :-
{49, 50,?, 62, 63} [Option ID = 26337]
--- Content provided by FirstRanker.com ---
69)70)
In which of the following pair, both of the managers have same mode of travel? [Question ID = 6624]
--- Content provided by FirstRanker.com ---
1. Shukla-Mishra [Option ID = 26487]2. Rao-Mishra [Option ID = 26488]
3. Nair-Rao [Option ID = 26489]
4. Kulkarni-Joshi [Option ID = 26490]
Correct Answer :-
--- Content provided by FirstRanker.com ---
Nair-Rao [Option ID = 26489]Which of the following is true? [Question ID = 6622]
1. Joshi travels by road [Option ID = 26482]
--- Content provided by FirstRanker.com ---
2. Nair will assist Rao [Option ID = 26480]3. Shukla conducts interviews alone [Option ID = 26481]
4. Kulkarni travels by air [Option ID = 26479]
Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
--- Content provided by FirstRanker.com ---
Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
2. Nair [Option ID = 26483]
--- Content provided by FirstRanker.com ---
71)72)
73)
3. Singh [Option ID = 26484]
4. Rao [Option ID = 26485]
--- Content provided by FirstRanker.com ---
Correct Answer :-Nair [Option ID = 26483]
Who goes to Delhi? [Question ID = 6621]
--- Content provided by FirstRanker.com ---
1. Data inadequate [Option ID = 26478]2. Mishra-Kulkarni [Option ID = 26475]
3. Kulkarni-Joshi [Option ID = 26477]
4. Rao-Singh [Option ID = 26476]
Correct Answer :-
--- Content provided by FirstRanker.com ---
Rao-Singh [Option ID = 26476]Where will Kulkarni conduct the interviews? [Question ID = 6620]
1. Chandigarh [Option ID = 26473]
--- Content provided by FirstRanker.com ---
2. Surat [Option ID = 26471]3. Cannot be determined [Option ID = 26474]
4. Lucknow [Option ID = 26472]
Correct Answer :-
Surat [Option ID = 26471]
--- Content provided by FirstRanker.com ---
74)75)
[Question ID = 6548]
1. GRAPH III [Option ID = 26185]
2. GRAPH I [Option ID = 26183]
--- Content provided by FirstRanker.com ---
3. GRAPH II [Option ID = 26184]4. GRAPH IV [Option ID = 26186]
Correct Answer :-
GRAPH III [Option ID = 26185]
[Question ID = 6532]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26121]2. [Option ID = 26122]
3. [Option ID = 26120]
4. [Option ID = 26119]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26121][Question ID = 6601]
1. [Option ID = 26395]
2. [Option ID = 26396]
3. [Option ID = 26398]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26397]76)
77)
78)
79)
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26396]
[Question ID = 6587]
1. [Option ID = 26342]
2. [Option ID = 26340]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26339]4. [Option ID = 26341]
Correct Answer :-
[Option ID = 26341]
[Question ID = 6528]
--- Content provided by FirstRanker.com ---
1. 15 [Option ID = 26106]2. 12 [Option ID = 26103]
3. 14 [Option ID = 26104]
4. 16 [Option ID = 26105]
Correct Answer :-
--- Content provided by FirstRanker.com ---
14 [Option ID = 26104][Question ID = 6608]
1. [Option ID = 26424]
2. [Option ID = 26423]
3. [Option ID = 26426]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26425]Correct Answer :-
[Option ID = 26423]
[Question ID = 6556]
1. [Option ID = 26218]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26215]3. [Option ID = 26216]
80)
81)
82)
--- Content provided by FirstRanker.com ---
83)4. [Option ID = 26217]
Correct Answer :-
[Option ID = 26217]
[Question ID = 6542]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26159]2. [Option ID = 26162]
3. [Option ID = 26160]
4. [Option ID = 26161]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26161][Question ID = 6597]
1. 2 [Option ID = 26381]
2. 0 [Option ID = 26379]
3. 1 [Option ID = 26380]
--- Content provided by FirstRanker.com ---
4. 3 [Option ID = 26382]Correct Answer :-
2 [Option ID = 26381]
[Question ID = 6545]
1. 666 [Option ID = 26172]
--- Content provided by FirstRanker.com ---
2. 900 [Option ID = 26171]3. 810 [Option ID = 26174]
4. 342 [Option ID = 26173]
Correct Answer :-
900 [Option ID = 26171]
--- Content provided by FirstRanker.com ---
84)85)
86)
87)
[Question ID = 6558]
--- Content provided by FirstRanker.com ---
1. 144 [Option ID = 26223]2. 72 [Option ID = 26226]
3. 576 [Option ID = 26225]
4. 288 [Option ID = 26224]
Correct Answer :-
--- Content provided by FirstRanker.com ---
576 [Option ID = 26225][Question ID = 6593]
1. [Option ID = 26364]
2. [Option ID = 26363]
3. [Option ID = 26366]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26365]Correct Answer :-
[Option ID = 26364]
[Question ID = 6529]
1. [Option ID = 26109]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26108]3. [Option ID = 26110]
4. [Option ID = 26107]
Correct Answer :-
[Option ID = 26109]
--- Content provided by FirstRanker.com ---
[Question ID = 6592]1. 1 [Option ID = 26359]
2. 5 [Option ID = 26361]
3. 3 [Option ID = 26360]
4. 9 [Option ID = 26362]
--- Content provided by FirstRanker.com ---
Correct Answer :-3 [Option ID = 26360]
88)
89)
[Question ID = 6551]
--- Content provided by FirstRanker.com ---
1. 3.5 [Option ID = 26195]2. 1 [Option ID = 26196]
3. -3 [Option ID = 26197]
4. 2 [Option ID = 26198]
Correct Answer :-
--- Content provided by FirstRanker.com ---
3.5 [Option ID = 26195][Question ID = 6578]
1. 7/36 [Option ID = 26306]
2. 19/108 [Option ID = 26305]
3. 1/3 [Option ID = 26303]
--- Content provided by FirstRanker.com ---
4. 4/27 [Option ID = 26304]Correct Answer :-
1/3 [Option ID = 26303]
90)
--- Content provided by FirstRanker.com ---
If the bug starts from point G, the probability of reaching A in 2 moves or less is
[Question ID = 6580]
1. 1 [Option ID = 26314]
--- Content provided by FirstRanker.com ---
2. 5/9 [Option ID = 26311]3. 1/3 [Option ID = 26312]
4. 5/18 [Option ID = 26313]
Correct Answer :-
5/18 [Option ID = 26313]
--- Content provided by FirstRanker.com ---
Starting form any point, what is the probability that the bug reaches point A in 2 moves or less? [Question ID = 6581]
1. 5/18 [Option ID = 26318]
2. 1/6 [Option ID = 26315]
--- Content provided by FirstRanker.com ---
3. 22/63 [Option ID = 26316]4. 1/18 [Option ID = 26317]
Correct Answer :-
91)
92)
--- Content provided by FirstRanker.com ---
93)94)
22/63 [Option ID = 26316]
[Question ID = 6555]
1. [Option ID = 26213]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26214]3. [Option ID = 26212]
4. [Option ID = 26211]
Correct Answer :-
[Option ID = 26212]
--- Content provided by FirstRanker.com ---
[Question ID = 6543]1. 53/3 [Option ID = 26163]
2. 13 [Option ID = 26165]
3. 22/3 [Option ID = 26166]
4. 13/3 [Option ID = 26164]
--- Content provided by FirstRanker.com ---
Correct Answer :-53/3 [Option ID = 26163]
Which of the following is correct? [Question ID = 6625]
--- Content provided by FirstRanker.com ---
1. V # T * P means P is maternal uncle of V [Option ID = 26491]2. L @ M $ R means R is paternal uncle of L [Option ID = 26493]
3. D ? V # T means D is granddaughter of T [Option ID = 26492]
4. M @ R $ D ? V means M and D are husband and wife [Option ID = 26494]
Correct Answer :-
--- Content provided by FirstRanker.com ---
M @ R $ D ? V means M and D are husband and wife [Option ID = 26494]FirstRanker.com - FirstRanker's Choice
1)
--- Content provided by FirstRanker.com ---
2)3)
4)
5)
DU BTech IT N Mathematical Innovations
--- Content provided by FirstRanker.com ---
Topic:- DU_J18_BTECH_Topic01the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26404]4. [Option ID = 26403]
Correct Answer :-
[Option ID = 26403]
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]
--- Content provided by FirstRanker.com ---
1. (0, 1) [Option ID = 26232]2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
Correct Answer :-
--- Content provided by FirstRanker.com ---
(0, 1) [Option ID = 26232]A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
2. 12 [Option ID = 26254]
--- Content provided by FirstRanker.com ---
3. 20 [Option ID = 26253]4. 10 [Option ID = 26251]
Correct Answer :-
20 [Option ID = 26253]
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then the
--- Content provided by FirstRanker.com ---
eccentricity of the ellipse is [Question ID = 6583]1. [Option ID = 26324]
2. [Option ID = 26323]
3. [Option ID = 26326]
4. [Option ID = 26325]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
--- Content provided by FirstRanker.com ---
2. 1 [Option ID = 26295]3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
Correct Answer :-
4 [Option ID = 26297]
--- Content provided by FirstRanker.com ---
A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
2. [Option ID = 26334]
3. [Option ID = 26333]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26331]Correct Answer :-
[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
--- Content provided by FirstRanker.com ---
8)9)
10)
4. [Option ID = 26467]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26467]In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
[Question ID = 6618]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26464]2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26465][Question ID = 7155]
1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
3. a=1/2 [Option ID = 28614]
--- Content provided by FirstRanker.com ---
4. sign of a cannot be determined [Option ID = 28613]Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
--- Content provided by FirstRanker.com ---
[Question ID = 6553]1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
4. GRAPH IV [Option ID = 26206]
--- Content provided by FirstRanker.com ---
Correct Answer :-GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26307]4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
--- Content provided by FirstRanker.com ---
[Question ID = 6617]1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
4. White [Option ID = 26459]
--- Content provided by FirstRanker.com ---
Correct Answer :-White [Option ID = 26459]
[Question ID = 6566]
14)
15)
--- Content provided by FirstRanker.com ---
16)1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
4. IMAGE III [Option ID = 26257]
--- Content provided by FirstRanker.com ---
Correct Answer :-IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
--- Content provided by FirstRanker.com ---
3. 45 [Option ID = 26438]4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26422]2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26421][Question ID = 6591]
1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
3. -2, -3 [Option ID = 26356]
--- Content provided by FirstRanker.com ---
4. -2, -32 [Option ID = 26355]Correct Answer :-
17)
18)
19)
--- Content provided by FirstRanker.com ---
20)-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26144]4. 4 [Option ID = 26143]
Correct Answer :-
32 [Option ID = 26145]
[Question ID = 6589]
--- Content provided by FirstRanker.com ---
1. unique solution [Option ID = 26347]2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
--- Content provided by FirstRanker.com ---
no solution [Option ID = 26349][Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
--- Content provided by FirstRanker.com ---
4. 8 [Option ID = 26390]Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
--- Content provided by FirstRanker.com ---
2. 9 [Option ID = 26261]21)
22)
23)
24)
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26260]4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26416]2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
--- Content provided by FirstRanker.com ---
5 [Option ID = 26418][Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
--- Content provided by FirstRanker.com ---
4. 40 [Option ID = 26210]Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
--- Content provided by FirstRanker.com ---
2. ? 6 [Option ID = 26221]3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
--- Content provided by FirstRanker.com ---
25)26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
--- Content provided by FirstRanker.com ---
2. 7 [Option ID = 26446]3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
--- Content provided by FirstRanker.com ---
[Question ID = 6584]1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26127]4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
--- Content provided by FirstRanker.com ---
29)30)
[Question ID = 6536]
1. 2/3 [Option ID = 26137]
2. 1/3 [Option ID = 26135]
--- Content provided by FirstRanker.com ---
3. ? 1/3 [Option ID = 26136]4. ? 2/3 [Option ID = 26138]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
--- Content provided by FirstRanker.com ---
1. 18 [Option ID = 26439]2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
--- Content provided by FirstRanker.com ---
21 [Option ID = 26441][Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
--- Content provided by FirstRanker.com ---
4. 3 [Option ID = 26386]Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26124]3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
--- Content provided by FirstRanker.com ---
31)32)
33)
34)
[Question ID = 6609]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26428]2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26427][Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26178]Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
--- Content provided by FirstRanker.com ---
2. 105 [Option ID = 26402]3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
--- Content provided by FirstRanker.com ---
[Question ID = 6594]1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
--- Content provided by FirstRanker.com ---
Correct Answer :-80 [Option ID = 26368]
35)
36)
37)
--- Content provided by FirstRanker.com ---
[Question ID = 6575]1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
--- Content provided by FirstRanker.com ---
Correct Answer :-11 [Option ID = 26292]
A x B x C x E = [Question ID = 6616]
--- Content provided by FirstRanker.com ---
1. 240 [Option ID = 26457]2. 70 [Option ID = 26458]
3. 48 [Option ID = 26456]
4. 40 [Option ID = 26455]
Correct Answer :-
--- Content provided by FirstRanker.com ---
40 [Option ID = 26455]38)
39)
40)
--- Content provided by FirstRanker.com ---
A + B + D + E = [Question ID = 6615]
1. 15 [Option ID = 26454]
2. 18 [Option ID = 26451]
3. 13 [Option ID = 26452]
--- Content provided by FirstRanker.com ---
4. 16 [Option ID = 26453]Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26247]3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
--- Content provided by FirstRanker.com ---
[Question ID = 6535]1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
--- Content provided by FirstRanker.com ---
Correct Answer :-42926 [Option ID = 26132]
41)
42)
[Question ID = 6569]
--- Content provided by FirstRanker.com ---
1. 7:2 [Option ID = 26267]2. 6:1 [Option ID = 26270]
3. 5:1 [Option ID = 26269]
4. 9:2 [Option ID = 26268]
Correct Answer :-
--- Content provided by FirstRanker.com ---
9:2 [Option ID = 26268][Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
--- Content provided by FirstRanker.com ---
4. 32 [Option ID = 26190]Correct Answer :-
128 [Option ID = 26189]
[Question ID = 6570]
1. The upper right corner [Option ID = 26274]
--- Content provided by FirstRanker.com ---
2. The upper left corner [Option ID = 26272]3. The lower right corner [Option ID = 26273]
43)
44)
45)
--- Content provided by FirstRanker.com ---
4. The lower left corner [Option ID = 26271]Correct Answer :-
The lower right corner [Option ID = 26273]
[Question ID = 6614]
1. 6 [Option ID = 26447]
--- Content provided by FirstRanker.com ---
2. 9 [Option ID = 26450]3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
--- Content provided by FirstRanker.com ---
[Question ID = 6547]1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
--- Content provided by FirstRanker.com ---
Correct Answer :-4 [Option ID = 26180]
46)
47)
48)
--- Content provided by FirstRanker.com ---
[Question ID = 6539]1. 6 [Option ID = 26148]
2. 7 [Option ID = 26149]
3. does not exist [Option ID = 26150]
4. 5 [Option ID = 26147]
--- Content provided by FirstRanker.com ---
Correct Answer :-5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26345]4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26354]2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
--- Content provided by FirstRanker.com ---
infinite [Option ID = 26352][Question ID = 6540]
49)
50)
51)
--- Content provided by FirstRanker.com ---
1. 2 [Option ID = 26151]2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
--- Content provided by FirstRanker.com ---
2 [Option ID = 26151][Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26230]Correct Answer :-
[Option ID = 26227]
[Question ID = 6595]
1. a,b,c are in HP [Option ID = 26373]
--- Content provided by FirstRanker.com ---
2. a,b,c are in AGP [Option ID = 26374]3. a,b,c are in AP [Option ID = 26371]
4. a,b,c are in GP [Option ID = 26372]
Correct Answer :-
a,b,c are in GP [Option ID = 26372]
--- Content provided by FirstRanker.com ---
[Question ID = 6610]1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26432]
52)
53)
[Question ID = 6550]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26191]2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26193][Question ID = 6544]
1. g'(-2) > g'(2) > g'(0) [Option ID = 26170]
2. g'(-2) > g'(0) > g'(2) [Option ID = 26169]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
--- Content provided by FirstRanker.com ---
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]Correct Answer :-
54)
55)
56)
--- Content provided by FirstRanker.com ---
g'(-2) > g'(2) > g'(0) [Option ID = 26170][Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26266]Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26241]3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
--- Content provided by FirstRanker.com ---
[Question ID = 6531]1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26116]
57)
58)
59)
--- Content provided by FirstRanker.com ---
[Question ID = 6596]1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26235]4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26245]2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26243]60)
61)
62)
63)
--- Content provided by FirstRanker.com ---
Under what condition does the above system of equations have infinitely many solutions? [Question ID = 6604]
1. [Option ID = 26409]
2. [Option ID = 26410]
3. [Option ID = 26408]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26407]Correct Answer :-
[Option ID = 26408]
Under what condition does the above system of equations have a unique solution? [Question ID = 6605]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26414]2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26413][Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
--- Content provided by FirstRanker.com ---
4. 1 [Option ID = 26199]Correct Answer :-
0.5 [Option ID = 26202]
64)
--- Content provided by FirstRanker.com ---
The number on the block that is in the 3rd column and the 4th row of the 100th layer is [Question ID = 6574]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
--- Content provided by FirstRanker.com ---
4. 760874499 [Option ID = 26287]Correct Answer :-
760874499 [Option ID = 26287]
65)
--- Content provided by FirstRanker.com ---
The sum of the numbers on the outermost blocks of the 10th layer is [Question ID = 6571]
1. 1016 [Option ID = 26278]
2. 1020 [Option ID = 26277]
3. 512 [Option ID = 26276]
--- Content provided by FirstRanker.com ---
4. 508 [Option ID = 26275]Correct Answer :-
66)
67)
68)
--- Content provided by FirstRanker.com ---
The sum of the numbers on the diagonal blocks in the 9th layer is [Question ID = 6573]
1. 20840 [Option ID = 26285]
2. 97240 [Option ID = 26283]
--- Content provided by FirstRanker.com ---
3. 25740 [Option ID = 26286]4. 81364 [Option ID = 26284]
Correct Answer :-
20840 [Option ID = 26285]
--- Content provided by FirstRanker.com ---
The sum of the numbers on the diagonal blocks in the 10th layer is [Question ID = 6572]
1. 306008 [Option ID = 26282]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
--- Content provided by FirstRanker.com ---
4. 97240 [Option ID = 26279]Correct Answer :-
97240 [Option ID = 26279]
[Question ID = 6586]
1. {62, 65, 68, 71, 75} [Option ID = 26338]
--- Content provided by FirstRanker.com ---
2. {60, 64, 68} [Option ID = 26335]3. {61, 62, 63} [Option ID = 26336]
4. {49, 50,?, 62, 63} [Option ID = 26337]
Correct Answer :-
{49, 50,?, 62, 63} [Option ID = 26337]
--- Content provided by FirstRanker.com ---
69)70)
In which of the following pair, both of the managers have same mode of travel? [Question ID = 6624]
--- Content provided by FirstRanker.com ---
1. Shukla-Mishra [Option ID = 26487]2. Rao-Mishra [Option ID = 26488]
3. Nair-Rao [Option ID = 26489]
4. Kulkarni-Joshi [Option ID = 26490]
Correct Answer :-
--- Content provided by FirstRanker.com ---
Nair-Rao [Option ID = 26489]Which of the following is true? [Question ID = 6622]
1. Joshi travels by road [Option ID = 26482]
--- Content provided by FirstRanker.com ---
2. Nair will assist Rao [Option ID = 26480]3. Shukla conducts interviews alone [Option ID = 26481]
4. Kulkarni travels by air [Option ID = 26479]
Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
--- Content provided by FirstRanker.com ---
Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
2. Nair [Option ID = 26483]
--- Content provided by FirstRanker.com ---
71)72)
73)
3. Singh [Option ID = 26484]
4. Rao [Option ID = 26485]
--- Content provided by FirstRanker.com ---
Correct Answer :-Nair [Option ID = 26483]
Who goes to Delhi? [Question ID = 6621]
--- Content provided by FirstRanker.com ---
1. Data inadequate [Option ID = 26478]2. Mishra-Kulkarni [Option ID = 26475]
3. Kulkarni-Joshi [Option ID = 26477]
4. Rao-Singh [Option ID = 26476]
Correct Answer :-
--- Content provided by FirstRanker.com ---
Rao-Singh [Option ID = 26476]Where will Kulkarni conduct the interviews? [Question ID = 6620]
1. Chandigarh [Option ID = 26473]
--- Content provided by FirstRanker.com ---
2. Surat [Option ID = 26471]3. Cannot be determined [Option ID = 26474]
4. Lucknow [Option ID = 26472]
Correct Answer :-
Surat [Option ID = 26471]
--- Content provided by FirstRanker.com ---
74)75)
[Question ID = 6548]
1. GRAPH III [Option ID = 26185]
2. GRAPH I [Option ID = 26183]
--- Content provided by FirstRanker.com ---
3. GRAPH II [Option ID = 26184]4. GRAPH IV [Option ID = 26186]
Correct Answer :-
GRAPH III [Option ID = 26185]
[Question ID = 6532]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26121]2. [Option ID = 26122]
3. [Option ID = 26120]
4. [Option ID = 26119]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26121][Question ID = 6601]
1. [Option ID = 26395]
2. [Option ID = 26396]
3. [Option ID = 26398]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26397]76)
77)
78)
79)
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26396]
[Question ID = 6587]
1. [Option ID = 26342]
2. [Option ID = 26340]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26339]4. [Option ID = 26341]
Correct Answer :-
[Option ID = 26341]
[Question ID = 6528]
--- Content provided by FirstRanker.com ---
1. 15 [Option ID = 26106]2. 12 [Option ID = 26103]
3. 14 [Option ID = 26104]
4. 16 [Option ID = 26105]
Correct Answer :-
--- Content provided by FirstRanker.com ---
14 [Option ID = 26104][Question ID = 6608]
1. [Option ID = 26424]
2. [Option ID = 26423]
3. [Option ID = 26426]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26425]Correct Answer :-
[Option ID = 26423]
[Question ID = 6556]
1. [Option ID = 26218]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26215]3. [Option ID = 26216]
80)
81)
82)
--- Content provided by FirstRanker.com ---
83)4. [Option ID = 26217]
Correct Answer :-
[Option ID = 26217]
[Question ID = 6542]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26159]2. [Option ID = 26162]
3. [Option ID = 26160]
4. [Option ID = 26161]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26161][Question ID = 6597]
1. 2 [Option ID = 26381]
2. 0 [Option ID = 26379]
3. 1 [Option ID = 26380]
--- Content provided by FirstRanker.com ---
4. 3 [Option ID = 26382]Correct Answer :-
2 [Option ID = 26381]
[Question ID = 6545]
1. 666 [Option ID = 26172]
--- Content provided by FirstRanker.com ---
2. 900 [Option ID = 26171]3. 810 [Option ID = 26174]
4. 342 [Option ID = 26173]
Correct Answer :-
900 [Option ID = 26171]
--- Content provided by FirstRanker.com ---
84)85)
86)
87)
[Question ID = 6558]
--- Content provided by FirstRanker.com ---
1. 144 [Option ID = 26223]2. 72 [Option ID = 26226]
3. 576 [Option ID = 26225]
4. 288 [Option ID = 26224]
Correct Answer :-
--- Content provided by FirstRanker.com ---
576 [Option ID = 26225][Question ID = 6593]
1. [Option ID = 26364]
2. [Option ID = 26363]
3. [Option ID = 26366]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26365]Correct Answer :-
[Option ID = 26364]
[Question ID = 6529]
1. [Option ID = 26109]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26108]3. [Option ID = 26110]
4. [Option ID = 26107]
Correct Answer :-
[Option ID = 26109]
--- Content provided by FirstRanker.com ---
[Question ID = 6592]1. 1 [Option ID = 26359]
2. 5 [Option ID = 26361]
3. 3 [Option ID = 26360]
4. 9 [Option ID = 26362]
--- Content provided by FirstRanker.com ---
Correct Answer :-3 [Option ID = 26360]
88)
89)
[Question ID = 6551]
--- Content provided by FirstRanker.com ---
1. 3.5 [Option ID = 26195]2. 1 [Option ID = 26196]
3. -3 [Option ID = 26197]
4. 2 [Option ID = 26198]
Correct Answer :-
--- Content provided by FirstRanker.com ---
3.5 [Option ID = 26195][Question ID = 6578]
1. 7/36 [Option ID = 26306]
2. 19/108 [Option ID = 26305]
3. 1/3 [Option ID = 26303]
--- Content provided by FirstRanker.com ---
4. 4/27 [Option ID = 26304]Correct Answer :-
1/3 [Option ID = 26303]
90)
--- Content provided by FirstRanker.com ---
If the bug starts from point G, the probability of reaching A in 2 moves or less is
[Question ID = 6580]
1. 1 [Option ID = 26314]
--- Content provided by FirstRanker.com ---
2. 5/9 [Option ID = 26311]3. 1/3 [Option ID = 26312]
4. 5/18 [Option ID = 26313]
Correct Answer :-
5/18 [Option ID = 26313]
--- Content provided by FirstRanker.com ---
Starting form any point, what is the probability that the bug reaches point A in 2 moves or less? [Question ID = 6581]
1. 5/18 [Option ID = 26318]
2. 1/6 [Option ID = 26315]
--- Content provided by FirstRanker.com ---
3. 22/63 [Option ID = 26316]4. 1/18 [Option ID = 26317]
Correct Answer :-
91)
92)
--- Content provided by FirstRanker.com ---
93)94)
22/63 [Option ID = 26316]
[Question ID = 6555]
1. [Option ID = 26213]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26214]3. [Option ID = 26212]
4. [Option ID = 26211]
Correct Answer :-
[Option ID = 26212]
--- Content provided by FirstRanker.com ---
[Question ID = 6543]1. 53/3 [Option ID = 26163]
2. 13 [Option ID = 26165]
3. 22/3 [Option ID = 26166]
4. 13/3 [Option ID = 26164]
--- Content provided by FirstRanker.com ---
Correct Answer :-53/3 [Option ID = 26163]
Which of the following is correct? [Question ID = 6625]
--- Content provided by FirstRanker.com ---
1. V # T * P means P is maternal uncle of V [Option ID = 26491]2. L @ M $ R means R is paternal uncle of L [Option ID = 26493]
3. D ? V # T means D is granddaughter of T [Option ID = 26492]
4. M @ R $ D ? V means M and D are husband and wife [Option ID = 26494]
Correct Answer :-
--- Content provided by FirstRanker.com ---
M @ R $ D ? V means M and D are husband and wife [Option ID = 26494]95)
96)
--- Content provided by FirstRanker.com ---
97)Which of the following indicates A is grandfather of B? [Question ID = 6626]
1. B # L # A [Option ID = 26497]
2. M # A = N = B [Option ID = 26495]
3. L * B = S $ Q =A [Option ID = 26498]
--- Content provided by FirstRanker.com ---
4. B $ L # Q # A [Option ID = 26496]Correct Answer :-
L * B = S $ Q =A [Option ID = 26498]
[Question ID = 6600]
1. [Option ID = 26391]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26394]3. [Option ID = 26392]
4. [Option ID = 26393]
Correct Answer :-
[Option ID = 26394]
--- Content provided by FirstRanker.com ---
[Question ID = 6537]1. 144 [Option ID = 26142]
2. 286 [Option ID = 26139]
3. 12 [Option ID = 26141]
4. 576 [Option ID = 26140]
--- Content provided by FirstRanker.com ---
Correct Answer :-286 [Option ID = 26139]
[Question ID = 6541]
1. ? 1 [Option ID = 26156]
2. 1 [Option ID = 26155]
--- Content provided by FirstRanker.com ---
3. ? 5 [Option ID = 26158]4. 5 [Option ID = 26157]
Correct Answer :-
? 1 [Option ID = 26156]
FirstRanker.com - FirstRanker's Choice
--- Content provided by FirstRanker.com ---
1)2)
3)
4)
5)
--- Content provided by FirstRanker.com ---
DU BTech IT N Mathematical InnovationsTopic:- DU_J18_BTECH_Topic01
the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is
[Question ID = 6603]
1. [Option ID = 26405]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26406]3. [Option ID = 26404]
4. [Option ID = 26403]
Correct Answer :-
[Option ID = 26403]
--- Content provided by FirstRanker.com ---
A circle passes through the points (-1, -1) and (3, 7). Which of the following cannot also be a point on the circle? [Question ID = 6560]1. (0, 1) [Option ID = 26232]
2. (1, 1) [Option ID = 26234]
3. (1, 0) [Option ID = 26231]
4. (0, 0) [Option ID = 26233]
--- Content provided by FirstRanker.com ---
Correct Answer :-(0, 1) [Option ID = 26232]
A circle is tangent to both negative x axis and positive y axis and passes through the point (-4, 6). The sum of the radii of all such
posiible circles is [Question ID = 6565]
1. 24 [Option ID = 26252]
--- Content provided by FirstRanker.com ---
2. 12 [Option ID = 26254]3. 20 [Option ID = 26253]
4. 10 [Option ID = 26251]
Correct Answer :-
20 [Option ID = 26253]
--- Content provided by FirstRanker.com ---
A circle is inscribed in an ellipse. If ?P? is the probability that a point within the ellipse chosen at random lies outside the circle, then theeccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
3. [Option ID = 26326]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26325]Correct Answer :-
[Option ID = 26325]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce either
to the left or the right peg right.
--- Content provided by FirstRanker.com ---
6)
7)
[Question ID = 6576]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26298]2. 1 [Option ID = 26295]
3. 3 [Option ID = 26296]
4. 4 [Option ID = 26297]
Correct Answer :-
--- Content provided by FirstRanker.com ---
4 [Option ID = 26297]A man takes a forward step with probability 0.8 and backward step with probability 0.2. What is the probability that at the end of 9
steps he is exactly three steps away from the starting point; [Question ID = 6585]
1. [Option ID = 26332]
2. [Option ID = 26334]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26333]4. [Option ID = 26331]
Correct Answer :-
[Option ID = 26331]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26469]8)
9)
10)
4. [Option ID = 26467]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26467]
In each of the following questions a part of the figure is missing. Find the right figure from the options to fit the missing pieces.
--- Content provided by FirstRanker.com ---
[Question ID = 6618]1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26465]
[Question ID = 7155]
1. a > 0 [Option ID = 28611]
2. a < 0 [Option ID = 28612]
--- Content provided by FirstRanker.com ---
3. a=1/2 [Option ID = 28614]4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
--- Content provided by FirstRanker.com ---
12)[Question ID = 6553]
1. GRAPH III [Option ID = 26205]
2. GRAPH I [Option ID = 26203]
3. GRAPH II [Option ID = 26204]
--- Content provided by FirstRanker.com ---
4. GRAPH IV [Option ID = 26206]Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26309]3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
--- Content provided by FirstRanker.com ---
13)[Question ID = 6617]
1. Each colour is equally likely [Option ID = 26462]
2. Black [Option ID = 26461]
3. Gray [Option ID = 26460]
--- Content provided by FirstRanker.com ---
4. White [Option ID = 26459]Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
--- Content provided by FirstRanker.com ---
15)16)
1. IMAGE II [Option ID = 26256]
2. IMAGE I [Option ID = 26255]
3. IMAGE IV [Option ID = 26258]
--- Content provided by FirstRanker.com ---
4. IMAGE III [Option ID = 26257]Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
--- Content provided by FirstRanker.com ---
2. 50 [Option ID = 26436]3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
--- Content provided by FirstRanker.com ---
[Question ID = 6607]1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26421]
[Question ID = 6591]
1. -6, -32 [Option ID = 26358]
2. -6, 3 [Option ID = 26357]
--- Content provided by FirstRanker.com ---
3. -2, -3 [Option ID = 26356]4. -2, -32 [Option ID = 26355]
Correct Answer :-
17)
18)
--- Content provided by FirstRanker.com ---
19)20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
--- Content provided by FirstRanker.com ---
2. 0 [Option ID = 26146]3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
32 [Option ID = 26145]
--- Content provided by FirstRanker.com ---
[Question ID = 6589]1. unique solution [Option ID = 26347]
2. no solution [Option ID = 26349]
3. more than two solutions [Option ID = 26350]
4. Exactly two solutions [Option ID = 26348]
--- Content provided by FirstRanker.com ---
Correct Answer :-no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
--- Content provided by FirstRanker.com ---
3. 10 [Option ID = 26388]4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26259]2. 9 [Option ID = 26261]
21)
22)
23)
--- Content provided by FirstRanker.com ---
24)3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
--- Content provided by FirstRanker.com ---
[Question ID = 6606]1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
--- Content provided by FirstRanker.com ---
Correct Answer :-5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
--- Content provided by FirstRanker.com ---
3. 8 [Option ID = 26208]4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
--- Content provided by FirstRanker.com ---
1. ? 3 [Option ID = 26222]2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
--- Content provided by FirstRanker.com ---
? 3 [Option ID = 26222]25)
26)
27)
[Question ID = 6613]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26445]2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
--- Content provided by FirstRanker.com ---
6 [Option ID = 26445][Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26327]Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
--- Content provided by FirstRanker.com ---
2. 5 [Option ID = 26129]3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
--- Content provided by FirstRanker.com ---
28)29)
30)
[Question ID = 6536]
1. 2/3 [Option ID = 26137]
--- Content provided by FirstRanker.com ---
2. 1/3 [Option ID = 26135]3. ? 1/3 [Option ID = 26136]
4. ? 2/3 [Option ID = 26138]
Correct Answer :-
? 1/3 [Option ID = 26136]
--- Content provided by FirstRanker.com ---
[Question ID = 6612]1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
--- Content provided by FirstRanker.com ---
Correct Answer :-21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
--- Content provided by FirstRanker.com ---
3. 1 [Option ID = 26384]4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26126]2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26123]31)
32)
33)
34)
--- Content provided by FirstRanker.com ---
[Question ID = 6609]1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
--- Content provided by FirstRanker.com ---
3. 3 [Option ID = 26177]4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
--- Content provided by FirstRanker.com ---
1. 455 [Option ID = 26401]2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
--- Content provided by FirstRanker.com ---
136 [Option ID = 26400][Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
--- Content provided by FirstRanker.com ---
4. 83 [Option ID = 26370]Correct Answer :-
80 [Option ID = 26368]
35)
36)
--- Content provided by FirstRanker.com ---
37)[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
--- Content provided by FirstRanker.com ---
4. 17 [Option ID = 26294]Correct Answer :-
11 [Option ID = 26292]
--- Content provided by FirstRanker.com ---
A x B x C x E = [Question ID = 6616]1. 240 [Option ID = 26457]
2. 70 [Option ID = 26458]
3. 48 [Option ID = 26456]
4. 40 [Option ID = 26455]
--- Content provided by FirstRanker.com ---
Correct Answer :-40 [Option ID = 26455]
38)
39)
40)
--- Content provided by FirstRanker.com ---
A + B + D + E = [Question ID = 6615]
1. 15 [Option ID = 26454]
2. 18 [Option ID = 26451]
--- Content provided by FirstRanker.com ---
3. 13 [Option ID = 26452]4. 16 [Option ID = 26453]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26248]2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26250][Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
--- Content provided by FirstRanker.com ---
4. -1 [Option ID = 26134]Correct Answer :-
42926 [Option ID = 26132]
41)
42)
--- Content provided by FirstRanker.com ---
[Question ID = 6569]1. 7:2 [Option ID = 26267]
2. 6:1 [Option ID = 26270]
3. 5:1 [Option ID = 26269]
4. 9:2 [Option ID = 26268]
--- Content provided by FirstRanker.com ---
Correct Answer :-9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
--- Content provided by FirstRanker.com ---
3. 34 [Option ID = 26187]4. 32 [Option ID = 26190]
Correct Answer :-
128 [Option ID = 26189]
[Question ID = 6570]
--- Content provided by FirstRanker.com ---
1. The upper right corner [Option ID = 26274]2. The upper left corner [Option ID = 26272]
3. The lower right corner [Option ID = 26273]
43)
44)
--- Content provided by FirstRanker.com ---
45)4. The lower left corner [Option ID = 26271]
Correct Answer :-
The lower right corner [Option ID = 26273]
[Question ID = 6614]
--- Content provided by FirstRanker.com ---
1. 6 [Option ID = 26447]2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
--- Content provided by FirstRanker.com ---
8 [Option ID = 26449][Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
--- Content provided by FirstRanker.com ---
4. 4 [Option ID = 26180]Correct Answer :-
4 [Option ID = 26180]
46)
47)
--- Content provided by FirstRanker.com ---
48)[Question ID = 6539]
1. 6 [Option ID = 26148]
2. 7 [Option ID = 26149]
3. does not exist [Option ID = 26150]
--- Content provided by FirstRanker.com ---
4. 5 [Option ID = 26147]Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26344]3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
--- Content provided by FirstRanker.com ---
[Question ID = 6590]1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
--- Content provided by FirstRanker.com ---
Correct Answer :-infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
--- Content provided by FirstRanker.com ---
51)1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
--- Content provided by FirstRanker.com ---
Correct Answer :-2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26228]4. [Option ID = 26230]
Correct Answer :-
[Option ID = 26227]
[Question ID = 6595]
--- Content provided by FirstRanker.com ---
1. a,b,c are in HP [Option ID = 26373]2. a,b,c are in AGP [Option ID = 26374]
3. a,b,c are in AP [Option ID = 26371]
4. a,b,c are in GP [Option ID = 26372]
Correct Answer :-
--- Content provided by FirstRanker.com ---
a,b,c are in GP [Option ID = 26372][Question ID = 6610]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26433]Correct Answer :-
[Option ID = 26432]
52)
53)
--- Content provided by FirstRanker.com ---
[Question ID = 6550]1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26193]
[Question ID = 6544]
1. g'(-2) > g'(2) > g'(0) [Option ID = 26170]
2. g'(-2) > g'(0) > g'(2) [Option ID = 26169]
--- Content provided by FirstRanker.com ---
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
--- Content provided by FirstRanker.com ---
56)g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26264]4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
--- Content provided by FirstRanker.com ---
1. 0 [Option ID = 26239]2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
--- Content provided by FirstRanker.com ---
6.5 [Option ID = 26240][Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26118]Correct Answer :-
[Option ID = 26116]
57)
58)
--- Content provided by FirstRanker.com ---
59)[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
--- Content provided by FirstRanker.com ---
4. [Option ID = 26375]Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26238]3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
--- Content provided by FirstRanker.com ---
[Question ID = 6563]1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26243]
60)
61)
62)
--- Content provided by FirstRanker.com ---
63)Under what condition does the above system of equations have infinitely many solutions? [Question ID = 6604]
1. [Option ID = 26409]
2. [Option ID = 26410]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26408]4. [Option ID = 26407]
Correct Answer :-
[Option ID = 26408]
--- Content provided by FirstRanker.com ---
Under what condition does the above system of equations have a unique solution? [Question ID = 6605]1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
--- Content provided by FirstRanker.com ---
3. 0.5 [Option ID = 26202]4. 1 [Option ID = 26199]
Correct Answer :-
0.5 [Option ID = 26202]
64)
--- Content provided by FirstRanker.com ---
The number on the block that is in the 3rd column and the 4th row of the 100th layer is [Question ID = 6574]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
--- Content provided by FirstRanker.com ---
3. 66701250 [Option ID = 26290]4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
65)
--- Content provided by FirstRanker.com ---
The sum of the numbers on the outermost blocks of the 10th layer is [Question ID = 6571]
1. 1016 [Option ID = 26278]
2. 1020 [Option ID = 26277]
--- Content provided by FirstRanker.com ---
3. 512 [Option ID = 26276]4. 508 [Option ID = 26275]
Correct Answer :-
66)
67)
--- Content provided by FirstRanker.com ---
68)The sum of the numbers on the diagonal blocks in the 9th layer is [Question ID = 6573]
1. 20840 [Option ID = 26285]
--- Content provided by FirstRanker.com ---
2. 97240 [Option ID = 26283]3. 25740 [Option ID = 26286]
4. 81364 [Option ID = 26284]
Correct Answer :-
20840 [Option ID = 26285]
--- Content provided by FirstRanker.com ---
The sum of the numbers on the diagonal blocks in the 10th layer is [Question ID = 6572]
1. 306008 [Option ID = 26282]
2. 369260 [Option ID = 26281]
--- Content provided by FirstRanker.com ---
3. 369512 [Option ID = 26280]4. 97240 [Option ID = 26279]
Correct Answer :-
97240 [Option ID = 26279]
[Question ID = 6586]
--- Content provided by FirstRanker.com ---
1. {62, 65, 68, 71, 75} [Option ID = 26338]2. {60, 64, 68} [Option ID = 26335]
3. {61, 62, 63} [Option ID = 26336]
4. {49, 50,?, 62, 63} [Option ID = 26337]
Correct Answer :-
--- Content provided by FirstRanker.com ---
{49, 50,?, 62, 63} [Option ID = 26337]69)
70)
--- Content provided by FirstRanker.com ---
In which of the following pair, both of the managers have same mode of travel? [Question ID = 6624]1. Shukla-Mishra [Option ID = 26487]
2. Rao-Mishra [Option ID = 26488]
3. Nair-Rao [Option ID = 26489]
4. Kulkarni-Joshi [Option ID = 26490]
--- Content provided by FirstRanker.com ---
Correct Answer :-Nair-Rao [Option ID = 26489]
Which of the following is true? [Question ID = 6622]
--- Content provided by FirstRanker.com ---
1. Joshi travels by road [Option ID = 26482]2. Nair will assist Rao [Option ID = 26480]
3. Shukla conducts interviews alone [Option ID = 26481]
4. Kulkarni travels by air [Option ID = 26479]
Correct Answer :-
--- Content provided by FirstRanker.com ---
Shukla conducts interviews alone [Option ID = 26481]Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
--- Content provided by FirstRanker.com ---
2. Nair [Option ID = 26483]71)
72)
73)
3. Singh [Option ID = 26484]
--- Content provided by FirstRanker.com ---
4. Rao [Option ID = 26485]Correct Answer :-
Nair [Option ID = 26483]
--- Content provided by FirstRanker.com ---
Who goes to Delhi? [Question ID = 6621]1. Data inadequate [Option ID = 26478]
2. Mishra-Kulkarni [Option ID = 26475]
3. Kulkarni-Joshi [Option ID = 26477]
4. Rao-Singh [Option ID = 26476]
--- Content provided by FirstRanker.com ---
Correct Answer :-Rao-Singh [Option ID = 26476]
Where will Kulkarni conduct the interviews? [Question ID = 6620]
--- Content provided by FirstRanker.com ---
1. Chandigarh [Option ID = 26473]2. Surat [Option ID = 26471]
3. Cannot be determined [Option ID = 26474]
4. Lucknow [Option ID = 26472]
Correct Answer :-
--- Content provided by FirstRanker.com ---
Surat [Option ID = 26471]74)
75)
[Question ID = 6548]
1. GRAPH III [Option ID = 26185]
--- Content provided by FirstRanker.com ---
2. GRAPH I [Option ID = 26183]3. GRAPH II [Option ID = 26184]
4. GRAPH IV [Option ID = 26186]
Correct Answer :-
GRAPH III [Option ID = 26185]
--- Content provided by FirstRanker.com ---
[Question ID = 6532]1. [Option ID = 26121]
2. [Option ID = 26122]
3. [Option ID = 26120]
4. [Option ID = 26119]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26121]
[Question ID = 6601]
1. [Option ID = 26395]
2. [Option ID = 26396]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26398]4. [Option ID = 26397]
76)
77)
78)
--- Content provided by FirstRanker.com ---
79)Correct Answer :-
[Option ID = 26396]
[Question ID = 6587]
1. [Option ID = 26342]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26340]3. [Option ID = 26339]
4. [Option ID = 26341]
Correct Answer :-
[Option ID = 26341]
--- Content provided by FirstRanker.com ---
[Question ID = 6528]1. 15 [Option ID = 26106]
2. 12 [Option ID = 26103]
3. 14 [Option ID = 26104]
4. 16 [Option ID = 26105]
--- Content provided by FirstRanker.com ---
Correct Answer :-14 [Option ID = 26104]
[Question ID = 6608]
1. [Option ID = 26424]
2. [Option ID = 26423]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26426]4. [Option ID = 26425]
Correct Answer :-
[Option ID = 26423]
[Question ID = 6556]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26218]2. [Option ID = 26215]
3. [Option ID = 26216]
80)
81)
--- Content provided by FirstRanker.com ---
82)83)
4. [Option ID = 26217]
Correct Answer :-
[Option ID = 26217]
--- Content provided by FirstRanker.com ---
[Question ID = 6542]1. [Option ID = 26159]
2. [Option ID = 26162]
3. [Option ID = 26160]
4. [Option ID = 26161]
--- Content provided by FirstRanker.com ---
Correct Answer :-[Option ID = 26161]
[Question ID = 6597]
1. 2 [Option ID = 26381]
2. 0 [Option ID = 26379]
--- Content provided by FirstRanker.com ---
3. 1 [Option ID = 26380]4. 3 [Option ID = 26382]
Correct Answer :-
2 [Option ID = 26381]
[Question ID = 6545]
--- Content provided by FirstRanker.com ---
1. 666 [Option ID = 26172]2. 900 [Option ID = 26171]
3. 810 [Option ID = 26174]
4. 342 [Option ID = 26173]
Correct Answer :-
--- Content provided by FirstRanker.com ---
900 [Option ID = 26171]84)
85)
86)
87)
--- Content provided by FirstRanker.com ---
[Question ID = 6558]1. 144 [Option ID = 26223]
2. 72 [Option ID = 26226]
3. 576 [Option ID = 26225]
4. 288 [Option ID = 26224]
--- Content provided by FirstRanker.com ---
Correct Answer :-576 [Option ID = 26225]
[Question ID = 6593]
1. [Option ID = 26364]
2. [Option ID = 26363]
--- Content provided by FirstRanker.com ---
3. [Option ID = 26366]4. [Option ID = 26365]
Correct Answer :-
[Option ID = 26364]
[Question ID = 6529]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26109]2. [Option ID = 26108]
3. [Option ID = 26110]
4. [Option ID = 26107]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26109][Question ID = 6592]
1. 1 [Option ID = 26359]
2. 5 [Option ID = 26361]
3. 3 [Option ID = 26360]
--- Content provided by FirstRanker.com ---
4. 9 [Option ID = 26362]Correct Answer :-
3 [Option ID = 26360]
88)
89)
--- Content provided by FirstRanker.com ---
[Question ID = 6551]1. 3.5 [Option ID = 26195]
2. 1 [Option ID = 26196]
3. -3 [Option ID = 26197]
4. 2 [Option ID = 26198]
--- Content provided by FirstRanker.com ---
Correct Answer :-3.5 [Option ID = 26195]
[Question ID = 6578]
1. 7/36 [Option ID = 26306]
2. 19/108 [Option ID = 26305]
--- Content provided by FirstRanker.com ---
3. 1/3 [Option ID = 26303]4. 4/27 [Option ID = 26304]
Correct Answer :-
1/3 [Option ID = 26303]
90)
--- Content provided by FirstRanker.com ---
If the bug starts from point G, the probability of reaching A in 2 moves or less is
[Question ID = 6580]
--- Content provided by FirstRanker.com ---
1. 1 [Option ID = 26314]2. 5/9 [Option ID = 26311]
3. 1/3 [Option ID = 26312]
4. 5/18 [Option ID = 26313]
Correct Answer :-
--- Content provided by FirstRanker.com ---
5/18 [Option ID = 26313]Starting form any point, what is the probability that the bug reaches point A in 2 moves or less? [Question ID = 6581]
1. 5/18 [Option ID = 26318]
--- Content provided by FirstRanker.com ---
2. 1/6 [Option ID = 26315]3. 22/63 [Option ID = 26316]
4. 1/18 [Option ID = 26317]
Correct Answer :-
91)
--- Content provided by FirstRanker.com ---
92)93)
94)
22/63 [Option ID = 26316]
[Question ID = 6555]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26213]2. [Option ID = 26214]
3. [Option ID = 26212]
4. [Option ID = 26211]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26212][Question ID = 6543]
1. 53/3 [Option ID = 26163]
2. 13 [Option ID = 26165]
3. 22/3 [Option ID = 26166]
--- Content provided by FirstRanker.com ---
4. 13/3 [Option ID = 26164]Correct Answer :-
53/3 [Option ID = 26163]
--- Content provided by FirstRanker.com ---
Which of the following is correct? [Question ID = 6625]1. V # T * P means P is maternal uncle of V [Option ID = 26491]
2. L @ M $ R means R is paternal uncle of L [Option ID = 26493]
3. D ? V # T means D is granddaughter of T [Option ID = 26492]
4. M @ R $ D ? V means M and D are husband and wife [Option ID = 26494]
--- Content provided by FirstRanker.com ---
Correct Answer :-M @ R $ D ? V means M and D are husband and wife [Option ID = 26494]
95)
--- Content provided by FirstRanker.com ---
96)97)
Which of the following indicates A is grandfather of B? [Question ID = 6626]
1. B # L # A [Option ID = 26497]
2. M # A = N = B [Option ID = 26495]
--- Content provided by FirstRanker.com ---
3. L * B = S $ Q =A [Option ID = 26498]4. B $ L # Q # A [Option ID = 26496]
Correct Answer :-
L * B = S $ Q =A [Option ID = 26498]
[Question ID = 6600]
--- Content provided by FirstRanker.com ---
1. [Option ID = 26391]2. [Option ID = 26394]
3. [Option ID = 26392]
4. [Option ID = 26393]
Correct Answer :-
--- Content provided by FirstRanker.com ---
[Option ID = 26394][Question ID = 6537]
1. 144 [Option ID = 26142]
2. 286 [Option ID = 26139]
3. 12 [Option ID = 26141]
--- Content provided by FirstRanker.com ---
4. 576 [Option ID = 26140]Correct Answer :-
286 [Option ID = 26139]
[Question ID = 6541]
1. ? 1 [Option ID = 26156]
--- Content provided by FirstRanker.com ---
2. 1 [Option ID = 26155]3. ? 5 [Option ID = 26158]
4. 5 [Option ID = 26157]
Correct Answer :-
? 1 [Option ID = 26156]
--- Content provided by FirstRanker.com ---
98)99)
100)
[Question ID = 6530]
1. [Option ID = 26111]
--- Content provided by FirstRanker.com ---
2. [Option ID = 26113]3. [Option ID = 26114]
4. [Option ID = 26112]
Correct Answer :-
[Option ID = 26111]
--- Content provided by FirstRanker.com ---
A batsman in his 16th innings makes a score of 70 runs and thereby increases his average by 2 runs. If he has never been not out,then his average after 16th inning is [Question ID = 6582]
1. 38 [Option ID = 26320]
2. 36 [Option ID = 26319]
3. 42 [Option ID = 26322]
--- Content provided by FirstRanker.com ---
4. 40 [Option ID = 26321]Correct Answer :-
40 [Option ID = 26321]
The figure shows a peg board used for a game show. Whenever the gray chip falls onto a peg, it has an equal chance to bounce
either to the left or the right peg right.
--- Content provided by FirstRanker.com ---
The probability of the chip falling in slot 2 is
[Question ID = 6577]
1. 1/16 [Option ID = 26299]
2. 1/8 [Option ID = 26300]
--- Content provided by FirstRanker.com ---
3. ? [Option ID = 26302]4. 3/8 [Option ID = 26301]
Correct Answer :-
1/16 [Option ID = 26299]
FirstRanker.com - FirstRanker's Choice
--- Content provided by FirstRanker.com ---