Download DUET (Delhi University Entrance Test conducted by the NTA) 2018 DU BTech IT N Mathematical Innovations Question Paper With Solution Key
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
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]
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)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
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]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
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]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
58)
59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
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]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
58)
59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
60)
61)
62)
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]
3. [Option ID = 26408]
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]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
0.5 [Option ID = 26202]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
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]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
58)
59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
60)
61)
62)
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]
3. [Option ID = 26408]
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]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
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]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
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]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
58)
59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
60)
61)
62)
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]
3. [Option ID = 26408]
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]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
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]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
65)
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]
Correct Answer :-
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
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]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
58)
59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
60)
61)
62)
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]
3. [Option ID = 26408]
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]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
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]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
65)
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]
Correct Answer :-
66)
67)
68)
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]
Correct Answer :-
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]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
4. 97240 [Option ID = 26279]
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]
3. {61, 62, 63} [Option ID = 26336]
4. {49, 50,?, 62, 63} [Option ID = 26337]
Correct Answer :-
{49, 50,?, 62, 63} [Option ID = 26337]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
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]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
58)
59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
60)
61)
62)
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]
3. [Option ID = 26408]
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]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
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]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
65)
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]
Correct Answer :-
66)
67)
68)
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]
Correct Answer :-
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]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
4. 97240 [Option ID = 26279]
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]
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)
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]
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]
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]
Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
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)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
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]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
58)
59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
60)
61)
62)
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]
3. [Option ID = 26408]
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]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
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]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
65)
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]
Correct Answer :-
66)
67)
68)
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]
Correct Answer :-
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]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
4. 97240 [Option ID = 26279]
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]
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)
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]
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]
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]
Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
2. Nair [Option ID = 26483]
71)
72)
73)
3. Singh [Option ID = 26484]
4. Rao [Option ID = 26485]
Correct Answer :-
Nair [Option ID = 26483]
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]
Correct Answer :-
Rao-Singh [Option ID = 26476]
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]
Correct Answer :-
Surat [Option ID = 26471]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
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]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
58)
59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
60)
61)
62)
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]
3. [Option ID = 26408]
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]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
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]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
65)
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]
Correct Answer :-
66)
67)
68)
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]
Correct Answer :-
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]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
4. 97240 [Option ID = 26279]
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]
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)
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]
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]
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]
Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
2. Nair [Option ID = 26483]
71)
72)
73)
3. Singh [Option ID = 26484]
4. Rao [Option ID = 26485]
Correct Answer :-
Nair [Option ID = 26483]
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]
Correct Answer :-
Rao-Singh [Option ID = 26476]
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]
Correct Answer :-
Surat [Option ID = 26471]
74)
75)
[Question ID = 6548]
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 :-
GRAPH III [Option ID = 26185]
[Question ID = 6532]
1. [Option ID = 26121]
2. [Option ID = 26122]
3. [Option ID = 26120]
4. [Option ID = 26119]
Correct Answer :-
[Option ID = 26121]
[Question ID = 6601]
1. [Option ID = 26395]
2. [Option ID = 26396]
3. [Option ID = 26398]
4. [Option ID = 26397]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
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]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
58)
59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
60)
61)
62)
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]
3. [Option ID = 26408]
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]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
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]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
65)
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]
Correct Answer :-
66)
67)
68)
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]
Correct Answer :-
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]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
4. 97240 [Option ID = 26279]
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]
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)
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]
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]
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]
Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
2. Nair [Option ID = 26483]
71)
72)
73)
3. Singh [Option ID = 26484]
4. Rao [Option ID = 26485]
Correct Answer :-
Nair [Option ID = 26483]
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]
Correct Answer :-
Rao-Singh [Option ID = 26476]
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]
Correct Answer :-
Surat [Option ID = 26471]
74)
75)
[Question ID = 6548]
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 :-
GRAPH III [Option ID = 26185]
[Question ID = 6532]
1. [Option ID = 26121]
2. [Option ID = 26122]
3. [Option ID = 26120]
4. [Option ID = 26119]
Correct Answer :-
[Option ID = 26121]
[Question ID = 6601]
1. [Option ID = 26395]
2. [Option ID = 26396]
3. [Option ID = 26398]
4. [Option ID = 26397]
76)
77)
78)
79)
Correct Answer :-
[Option ID = 26396]
[Question ID = 6587]
1. [Option ID = 26342]
2. [Option ID = 26340]
3. [Option ID = 26339]
4. [Option ID = 26341]
Correct Answer :-
[Option ID = 26341]
[Question ID = 6528]
1. 15 [Option ID = 26106]
2. 12 [Option ID = 26103]
3. 14 [Option ID = 26104]
4. 16 [Option ID = 26105]
Correct Answer :-
14 [Option ID = 26104]
[Question ID = 6608]
1. [Option ID = 26424]
2. [Option ID = 26423]
3. [Option ID = 26426]
4. [Option ID = 26425]
Correct Answer :-
[Option ID = 26423]
[Question ID = 6556]
1. [Option ID = 26218]
2. [Option ID = 26215]
3. [Option ID = 26216]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
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]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
58)
59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
60)
61)
62)
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]
3. [Option ID = 26408]
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]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
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]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
65)
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]
Correct Answer :-
66)
67)
68)
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]
Correct Answer :-
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]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
4. 97240 [Option ID = 26279]
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]
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)
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]
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]
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]
Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
2. Nair [Option ID = 26483]
71)
72)
73)
3. Singh [Option ID = 26484]
4. Rao [Option ID = 26485]
Correct Answer :-
Nair [Option ID = 26483]
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]
Correct Answer :-
Rao-Singh [Option ID = 26476]
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]
Correct Answer :-
Surat [Option ID = 26471]
74)
75)
[Question ID = 6548]
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 :-
GRAPH III [Option ID = 26185]
[Question ID = 6532]
1. [Option ID = 26121]
2. [Option ID = 26122]
3. [Option ID = 26120]
4. [Option ID = 26119]
Correct Answer :-
[Option ID = 26121]
[Question ID = 6601]
1. [Option ID = 26395]
2. [Option ID = 26396]
3. [Option ID = 26398]
4. [Option ID = 26397]
76)
77)
78)
79)
Correct Answer :-
[Option ID = 26396]
[Question ID = 6587]
1. [Option ID = 26342]
2. [Option ID = 26340]
3. [Option ID = 26339]
4. [Option ID = 26341]
Correct Answer :-
[Option ID = 26341]
[Question ID = 6528]
1. 15 [Option ID = 26106]
2. 12 [Option ID = 26103]
3. 14 [Option ID = 26104]
4. 16 [Option ID = 26105]
Correct Answer :-
14 [Option ID = 26104]
[Question ID = 6608]
1. [Option ID = 26424]
2. [Option ID = 26423]
3. [Option ID = 26426]
4. [Option ID = 26425]
Correct Answer :-
[Option ID = 26423]
[Question ID = 6556]
1. [Option ID = 26218]
2. [Option ID = 26215]
3. [Option ID = 26216]
80)
81)
82)
83)
4. [Option ID = 26217]
Correct Answer :-
[Option ID = 26217]
[Question ID = 6542]
1. [Option ID = 26159]
2. [Option ID = 26162]
3. [Option ID = 26160]
4. [Option ID = 26161]
Correct Answer :-
[Option ID = 26161]
[Question ID = 6597]
1. 2 [Option ID = 26381]
2. 0 [Option ID = 26379]
3. 1 [Option ID = 26380]
4. 3 [Option ID = 26382]
Correct Answer :-
2 [Option ID = 26381]
[Question ID = 6545]
1. 666 [Option ID = 26172]
2. 900 [Option ID = 26171]
3. 810 [Option ID = 26174]
4. 342 [Option ID = 26173]
Correct Answer :-
900 [Option ID = 26171]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
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]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
58)
59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
60)
61)
62)
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]
3. [Option ID = 26408]
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]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
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]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
65)
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]
Correct Answer :-
66)
67)
68)
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]
Correct Answer :-
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]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
4. 97240 [Option ID = 26279]
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]
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)
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]
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]
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]
Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
2. Nair [Option ID = 26483]
71)
72)
73)
3. Singh [Option ID = 26484]
4. Rao [Option ID = 26485]
Correct Answer :-
Nair [Option ID = 26483]
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]
Correct Answer :-
Rao-Singh [Option ID = 26476]
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]
Correct Answer :-
Surat [Option ID = 26471]
74)
75)
[Question ID = 6548]
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 :-
GRAPH III [Option ID = 26185]
[Question ID = 6532]
1. [Option ID = 26121]
2. [Option ID = 26122]
3. [Option ID = 26120]
4. [Option ID = 26119]
Correct Answer :-
[Option ID = 26121]
[Question ID = 6601]
1. [Option ID = 26395]
2. [Option ID = 26396]
3. [Option ID = 26398]
4. [Option ID = 26397]
76)
77)
78)
79)
Correct Answer :-
[Option ID = 26396]
[Question ID = 6587]
1. [Option ID = 26342]
2. [Option ID = 26340]
3. [Option ID = 26339]
4. [Option ID = 26341]
Correct Answer :-
[Option ID = 26341]
[Question ID = 6528]
1. 15 [Option ID = 26106]
2. 12 [Option ID = 26103]
3. 14 [Option ID = 26104]
4. 16 [Option ID = 26105]
Correct Answer :-
14 [Option ID = 26104]
[Question ID = 6608]
1. [Option ID = 26424]
2. [Option ID = 26423]
3. [Option ID = 26426]
4. [Option ID = 26425]
Correct Answer :-
[Option ID = 26423]
[Question ID = 6556]
1. [Option ID = 26218]
2. [Option ID = 26215]
3. [Option ID = 26216]
80)
81)
82)
83)
4. [Option ID = 26217]
Correct Answer :-
[Option ID = 26217]
[Question ID = 6542]
1. [Option ID = 26159]
2. [Option ID = 26162]
3. [Option ID = 26160]
4. [Option ID = 26161]
Correct Answer :-
[Option ID = 26161]
[Question ID = 6597]
1. 2 [Option ID = 26381]
2. 0 [Option ID = 26379]
3. 1 [Option ID = 26380]
4. 3 [Option ID = 26382]
Correct Answer :-
2 [Option ID = 26381]
[Question ID = 6545]
1. 666 [Option ID = 26172]
2. 900 [Option ID = 26171]
3. 810 [Option ID = 26174]
4. 342 [Option ID = 26173]
Correct Answer :-
900 [Option ID = 26171]
84)
85)
86)
87)
[Question ID = 6558]
1. 144 [Option ID = 26223]
2. 72 [Option ID = 26226]
3. 576 [Option ID = 26225]
4. 288 [Option ID = 26224]
Correct Answer :-
576 [Option ID = 26225]
[Question ID = 6593]
1. [Option ID = 26364]
2. [Option ID = 26363]
3. [Option ID = 26366]
4. [Option ID = 26365]
Correct Answer :-
[Option ID = 26364]
[Question ID = 6529]
1. [Option ID = 26109]
2. [Option ID = 26108]
3. [Option ID = 26110]
4. [Option ID = 26107]
Correct Answer :-
[Option ID = 26109]
[Question ID = 6592]
1. 1 [Option ID = 26359]
2. 5 [Option ID = 26361]
3. 3 [Option ID = 26360]
4. 9 [Option ID = 26362]
Correct Answer :-
3 [Option ID = 26360]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
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]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
58)
59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
60)
61)
62)
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]
3. [Option ID = 26408]
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]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
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]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
65)
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]
Correct Answer :-
66)
67)
68)
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]
Correct Answer :-
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]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
4. 97240 [Option ID = 26279]
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]
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)
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]
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]
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]
Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
2. Nair [Option ID = 26483]
71)
72)
73)
3. Singh [Option ID = 26484]
4. Rao [Option ID = 26485]
Correct Answer :-
Nair [Option ID = 26483]
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]
Correct Answer :-
Rao-Singh [Option ID = 26476]
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]
Correct Answer :-
Surat [Option ID = 26471]
74)
75)
[Question ID = 6548]
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 :-
GRAPH III [Option ID = 26185]
[Question ID = 6532]
1. [Option ID = 26121]
2. [Option ID = 26122]
3. [Option ID = 26120]
4. [Option ID = 26119]
Correct Answer :-
[Option ID = 26121]
[Question ID = 6601]
1. [Option ID = 26395]
2. [Option ID = 26396]
3. [Option ID = 26398]
4. [Option ID = 26397]
76)
77)
78)
79)
Correct Answer :-
[Option ID = 26396]
[Question ID = 6587]
1. [Option ID = 26342]
2. [Option ID = 26340]
3. [Option ID = 26339]
4. [Option ID = 26341]
Correct Answer :-
[Option ID = 26341]
[Question ID = 6528]
1. 15 [Option ID = 26106]
2. 12 [Option ID = 26103]
3. 14 [Option ID = 26104]
4. 16 [Option ID = 26105]
Correct Answer :-
14 [Option ID = 26104]
[Question ID = 6608]
1. [Option ID = 26424]
2. [Option ID = 26423]
3. [Option ID = 26426]
4. [Option ID = 26425]
Correct Answer :-
[Option ID = 26423]
[Question ID = 6556]
1. [Option ID = 26218]
2. [Option ID = 26215]
3. [Option ID = 26216]
80)
81)
82)
83)
4. [Option ID = 26217]
Correct Answer :-
[Option ID = 26217]
[Question ID = 6542]
1. [Option ID = 26159]
2. [Option ID = 26162]
3. [Option ID = 26160]
4. [Option ID = 26161]
Correct Answer :-
[Option ID = 26161]
[Question ID = 6597]
1. 2 [Option ID = 26381]
2. 0 [Option ID = 26379]
3. 1 [Option ID = 26380]
4. 3 [Option ID = 26382]
Correct Answer :-
2 [Option ID = 26381]
[Question ID = 6545]
1. 666 [Option ID = 26172]
2. 900 [Option ID = 26171]
3. 810 [Option ID = 26174]
4. 342 [Option ID = 26173]
Correct Answer :-
900 [Option ID = 26171]
84)
85)
86)
87)
[Question ID = 6558]
1. 144 [Option ID = 26223]
2. 72 [Option ID = 26226]
3. 576 [Option ID = 26225]
4. 288 [Option ID = 26224]
Correct Answer :-
576 [Option ID = 26225]
[Question ID = 6593]
1. [Option ID = 26364]
2. [Option ID = 26363]
3. [Option ID = 26366]
4. [Option ID = 26365]
Correct Answer :-
[Option ID = 26364]
[Question ID = 6529]
1. [Option ID = 26109]
2. [Option ID = 26108]
3. [Option ID = 26110]
4. [Option ID = 26107]
Correct Answer :-
[Option ID = 26109]
[Question ID = 6592]
1. 1 [Option ID = 26359]
2. 5 [Option ID = 26361]
3. 3 [Option ID = 26360]
4. 9 [Option ID = 26362]
Correct Answer :-
3 [Option ID = 26360]
88)
89)
[Question ID = 6551]
1. 3.5 [Option ID = 26195]
2. 1 [Option ID = 26196]
3. -3 [Option ID = 26197]
4. 2 [Option ID = 26198]
Correct Answer :-
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]
4. 4/27 [Option ID = 26304]
Correct Answer :-
1/3 [Option ID = 26303]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
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]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
58)
59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
60)
61)
62)
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]
3. [Option ID = 26408]
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]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
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]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
65)
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]
Correct Answer :-
66)
67)
68)
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]
Correct Answer :-
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]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
4. 97240 [Option ID = 26279]
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]
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)
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]
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]
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]
Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
2. Nair [Option ID = 26483]
71)
72)
73)
3. Singh [Option ID = 26484]
4. Rao [Option ID = 26485]
Correct Answer :-
Nair [Option ID = 26483]
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]
Correct Answer :-
Rao-Singh [Option ID = 26476]
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]
Correct Answer :-
Surat [Option ID = 26471]
74)
75)
[Question ID = 6548]
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 :-
GRAPH III [Option ID = 26185]
[Question ID = 6532]
1. [Option ID = 26121]
2. [Option ID = 26122]
3. [Option ID = 26120]
4. [Option ID = 26119]
Correct Answer :-
[Option ID = 26121]
[Question ID = 6601]
1. [Option ID = 26395]
2. [Option ID = 26396]
3. [Option ID = 26398]
4. [Option ID = 26397]
76)
77)
78)
79)
Correct Answer :-
[Option ID = 26396]
[Question ID = 6587]
1. [Option ID = 26342]
2. [Option ID = 26340]
3. [Option ID = 26339]
4. [Option ID = 26341]
Correct Answer :-
[Option ID = 26341]
[Question ID = 6528]
1. 15 [Option ID = 26106]
2. 12 [Option ID = 26103]
3. 14 [Option ID = 26104]
4. 16 [Option ID = 26105]
Correct Answer :-
14 [Option ID = 26104]
[Question ID = 6608]
1. [Option ID = 26424]
2. [Option ID = 26423]
3. [Option ID = 26426]
4. [Option ID = 26425]
Correct Answer :-
[Option ID = 26423]
[Question ID = 6556]
1. [Option ID = 26218]
2. [Option ID = 26215]
3. [Option ID = 26216]
80)
81)
82)
83)
4. [Option ID = 26217]
Correct Answer :-
[Option ID = 26217]
[Question ID = 6542]
1. [Option ID = 26159]
2. [Option ID = 26162]
3. [Option ID = 26160]
4. [Option ID = 26161]
Correct Answer :-
[Option ID = 26161]
[Question ID = 6597]
1. 2 [Option ID = 26381]
2. 0 [Option ID = 26379]
3. 1 [Option ID = 26380]
4. 3 [Option ID = 26382]
Correct Answer :-
2 [Option ID = 26381]
[Question ID = 6545]
1. 666 [Option ID = 26172]
2. 900 [Option ID = 26171]
3. 810 [Option ID = 26174]
4. 342 [Option ID = 26173]
Correct Answer :-
900 [Option ID = 26171]
84)
85)
86)
87)
[Question ID = 6558]
1. 144 [Option ID = 26223]
2. 72 [Option ID = 26226]
3. 576 [Option ID = 26225]
4. 288 [Option ID = 26224]
Correct Answer :-
576 [Option ID = 26225]
[Question ID = 6593]
1. [Option ID = 26364]
2. [Option ID = 26363]
3. [Option ID = 26366]
4. [Option ID = 26365]
Correct Answer :-
[Option ID = 26364]
[Question ID = 6529]
1. [Option ID = 26109]
2. [Option ID = 26108]
3. [Option ID = 26110]
4. [Option ID = 26107]
Correct Answer :-
[Option ID = 26109]
[Question ID = 6592]
1. 1 [Option ID = 26359]
2. 5 [Option ID = 26361]
3. 3 [Option ID = 26360]
4. 9 [Option ID = 26362]
Correct Answer :-
3 [Option ID = 26360]
88)
89)
[Question ID = 6551]
1. 3.5 [Option ID = 26195]
2. 1 [Option ID = 26196]
3. -3 [Option ID = 26197]
4. 2 [Option ID = 26198]
Correct Answer :-
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]
4. 4/27 [Option ID = 26304]
Correct Answer :-
1/3 [Option ID = 26303]
90)
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]
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]
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]
3. 22/63 [Option ID = 26316]
4. 1/18 [Option ID = 26317]
Correct Answer :-
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
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]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
58)
59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
60)
61)
62)
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]
3. [Option ID = 26408]
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]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
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]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
65)
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]
Correct Answer :-
66)
67)
68)
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]
Correct Answer :-
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]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
4. 97240 [Option ID = 26279]
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]
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)
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]
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]
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]
Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
2. Nair [Option ID = 26483]
71)
72)
73)
3. Singh [Option ID = 26484]
4. Rao [Option ID = 26485]
Correct Answer :-
Nair [Option ID = 26483]
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]
Correct Answer :-
Rao-Singh [Option ID = 26476]
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]
Correct Answer :-
Surat [Option ID = 26471]
74)
75)
[Question ID = 6548]
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 :-
GRAPH III [Option ID = 26185]
[Question ID = 6532]
1. [Option ID = 26121]
2. [Option ID = 26122]
3. [Option ID = 26120]
4. [Option ID = 26119]
Correct Answer :-
[Option ID = 26121]
[Question ID = 6601]
1. [Option ID = 26395]
2. [Option ID = 26396]
3. [Option ID = 26398]
4. [Option ID = 26397]
76)
77)
78)
79)
Correct Answer :-
[Option ID = 26396]
[Question ID = 6587]
1. [Option ID = 26342]
2. [Option ID = 26340]
3. [Option ID = 26339]
4. [Option ID = 26341]
Correct Answer :-
[Option ID = 26341]
[Question ID = 6528]
1. 15 [Option ID = 26106]
2. 12 [Option ID = 26103]
3. 14 [Option ID = 26104]
4. 16 [Option ID = 26105]
Correct Answer :-
14 [Option ID = 26104]
[Question ID = 6608]
1. [Option ID = 26424]
2. [Option ID = 26423]
3. [Option ID = 26426]
4. [Option ID = 26425]
Correct Answer :-
[Option ID = 26423]
[Question ID = 6556]
1. [Option ID = 26218]
2. [Option ID = 26215]
3. [Option ID = 26216]
80)
81)
82)
83)
4. [Option ID = 26217]
Correct Answer :-
[Option ID = 26217]
[Question ID = 6542]
1. [Option ID = 26159]
2. [Option ID = 26162]
3. [Option ID = 26160]
4. [Option ID = 26161]
Correct Answer :-
[Option ID = 26161]
[Question ID = 6597]
1. 2 [Option ID = 26381]
2. 0 [Option ID = 26379]
3. 1 [Option ID = 26380]
4. 3 [Option ID = 26382]
Correct Answer :-
2 [Option ID = 26381]
[Question ID = 6545]
1. 666 [Option ID = 26172]
2. 900 [Option ID = 26171]
3. 810 [Option ID = 26174]
4. 342 [Option ID = 26173]
Correct Answer :-
900 [Option ID = 26171]
84)
85)
86)
87)
[Question ID = 6558]
1. 144 [Option ID = 26223]
2. 72 [Option ID = 26226]
3. 576 [Option ID = 26225]
4. 288 [Option ID = 26224]
Correct Answer :-
576 [Option ID = 26225]
[Question ID = 6593]
1. [Option ID = 26364]
2. [Option ID = 26363]
3. [Option ID = 26366]
4. [Option ID = 26365]
Correct Answer :-
[Option ID = 26364]
[Question ID = 6529]
1. [Option ID = 26109]
2. [Option ID = 26108]
3. [Option ID = 26110]
4. [Option ID = 26107]
Correct Answer :-
[Option ID = 26109]
[Question ID = 6592]
1. 1 [Option ID = 26359]
2. 5 [Option ID = 26361]
3. 3 [Option ID = 26360]
4. 9 [Option ID = 26362]
Correct Answer :-
3 [Option ID = 26360]
88)
89)
[Question ID = 6551]
1. 3.5 [Option ID = 26195]
2. 1 [Option ID = 26196]
3. -3 [Option ID = 26197]
4. 2 [Option ID = 26198]
Correct Answer :-
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]
4. 4/27 [Option ID = 26304]
Correct Answer :-
1/3 [Option ID = 26303]
90)
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]
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]
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]
3. 22/63 [Option ID = 26316]
4. 1/18 [Option ID = 26317]
Correct Answer :-
91)
92)
93)
94)
22/63 [Option ID = 26316]
[Question ID = 6555]
1. [Option ID = 26213]
2. [Option ID = 26214]
3. [Option ID = 26212]
4. [Option ID = 26211]
Correct Answer :-
[Option ID = 26212]
[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]
Correct Answer :-
53/3 [Option ID = 26163]
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]
Correct Answer :-
M @ R $ D ? V means M and D are husband and wife [Option ID = 26494]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
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]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
58)
59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
60)
61)
62)
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]
3. [Option ID = 26408]
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]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
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]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
65)
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]
Correct Answer :-
66)
67)
68)
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]
Correct Answer :-
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]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
4. 97240 [Option ID = 26279]
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]
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)
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]
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]
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]
Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
2. Nair [Option ID = 26483]
71)
72)
73)
3. Singh [Option ID = 26484]
4. Rao [Option ID = 26485]
Correct Answer :-
Nair [Option ID = 26483]
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]
Correct Answer :-
Rao-Singh [Option ID = 26476]
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]
Correct Answer :-
Surat [Option ID = 26471]
74)
75)
[Question ID = 6548]
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 :-
GRAPH III [Option ID = 26185]
[Question ID = 6532]
1. [Option ID = 26121]
2. [Option ID = 26122]
3. [Option ID = 26120]
4. [Option ID = 26119]
Correct Answer :-
[Option ID = 26121]
[Question ID = 6601]
1. [Option ID = 26395]
2. [Option ID = 26396]
3. [Option ID = 26398]
4. [Option ID = 26397]
76)
77)
78)
79)
Correct Answer :-
[Option ID = 26396]
[Question ID = 6587]
1. [Option ID = 26342]
2. [Option ID = 26340]
3. [Option ID = 26339]
4. [Option ID = 26341]
Correct Answer :-
[Option ID = 26341]
[Question ID = 6528]
1. 15 [Option ID = 26106]
2. 12 [Option ID = 26103]
3. 14 [Option ID = 26104]
4. 16 [Option ID = 26105]
Correct Answer :-
14 [Option ID = 26104]
[Question ID = 6608]
1. [Option ID = 26424]
2. [Option ID = 26423]
3. [Option ID = 26426]
4. [Option ID = 26425]
Correct Answer :-
[Option ID = 26423]
[Question ID = 6556]
1. [Option ID = 26218]
2. [Option ID = 26215]
3. [Option ID = 26216]
80)
81)
82)
83)
4. [Option ID = 26217]
Correct Answer :-
[Option ID = 26217]
[Question ID = 6542]
1. [Option ID = 26159]
2. [Option ID = 26162]
3. [Option ID = 26160]
4. [Option ID = 26161]
Correct Answer :-
[Option ID = 26161]
[Question ID = 6597]
1. 2 [Option ID = 26381]
2. 0 [Option ID = 26379]
3. 1 [Option ID = 26380]
4. 3 [Option ID = 26382]
Correct Answer :-
2 [Option ID = 26381]
[Question ID = 6545]
1. 666 [Option ID = 26172]
2. 900 [Option ID = 26171]
3. 810 [Option ID = 26174]
4. 342 [Option ID = 26173]
Correct Answer :-
900 [Option ID = 26171]
84)
85)
86)
87)
[Question ID = 6558]
1. 144 [Option ID = 26223]
2. 72 [Option ID = 26226]
3. 576 [Option ID = 26225]
4. 288 [Option ID = 26224]
Correct Answer :-
576 [Option ID = 26225]
[Question ID = 6593]
1. [Option ID = 26364]
2. [Option ID = 26363]
3. [Option ID = 26366]
4. [Option ID = 26365]
Correct Answer :-
[Option ID = 26364]
[Question ID = 6529]
1. [Option ID = 26109]
2. [Option ID = 26108]
3. [Option ID = 26110]
4. [Option ID = 26107]
Correct Answer :-
[Option ID = 26109]
[Question ID = 6592]
1. 1 [Option ID = 26359]
2. 5 [Option ID = 26361]
3. 3 [Option ID = 26360]
4. 9 [Option ID = 26362]
Correct Answer :-
3 [Option ID = 26360]
88)
89)
[Question ID = 6551]
1. 3.5 [Option ID = 26195]
2. 1 [Option ID = 26196]
3. -3 [Option ID = 26197]
4. 2 [Option ID = 26198]
Correct Answer :-
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]
4. 4/27 [Option ID = 26304]
Correct Answer :-
1/3 [Option ID = 26303]
90)
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]
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]
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]
3. 22/63 [Option ID = 26316]
4. 1/18 [Option ID = 26317]
Correct Answer :-
91)
92)
93)
94)
22/63 [Option ID = 26316]
[Question ID = 6555]
1. [Option ID = 26213]
2. [Option ID = 26214]
3. [Option ID = 26212]
4. [Option ID = 26211]
Correct Answer :-
[Option ID = 26212]
[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]
Correct Answer :-
53/3 [Option ID = 26163]
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]
Correct Answer :-
M @ R $ D ? V means M and D are husband and wife [Option ID = 26494]
95)
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]
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]
1. [Option ID = 26391]
2. [Option ID = 26394]
3. [Option ID = 26392]
4. [Option ID = 26393]
Correct Answer :-
[Option ID = 26394]
[Question ID = 6537]
1. 144 [Option ID = 26142]
2. 286 [Option ID = 26139]
3. 12 [Option ID = 26141]
4. 576 [Option ID = 26140]
Correct Answer :-
286 [Option ID = 26139]
[Question ID = 6541]
1. ? 1 [Option ID = 26156]
2. 1 [Option ID = 26155]
3. ? 5 [Option ID = 26158]
4. 5 [Option ID = 26157]
Correct Answer :-
? 1 [Option ID = 26156]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
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
[Question ID = 6603]
1. [Option ID = 26405]
2. [Option ID = 26406]
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]
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 :-
(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]
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
eccentricity of the ellipse is [Question ID = 6583]
1. [Option ID = 26324]
2. [Option ID = 26323]
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
to the left or the right peg right.
6)
7)
[Question ID = 6576]
1. 6 [Option ID = 26298]
2. 1 [Option ID = 26295]
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
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]
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.
[Question ID = 6619]
1. [Option ID = 26468]
2. [Option ID = 26470]
3. [Option ID = 26469]
8)
9)
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.
[Question ID = 6618]
1. [Option ID = 26464]
2. [Option ID = 26465]
3. [Option ID = 26463]
4. [Option ID = 26466]
Correct Answer :-
[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]
4. sign of a cannot be determined [Option ID = 28613]
Correct Answer :-
a < 0 [Option ID = 28612]
11)
12)
[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]
Correct Answer :-
GRAPH I [Option ID = 26203]
[Question ID = 6579]
1. [Option ID = 26310]
2. [Option ID = 26309]
3. [Option ID = 26307]
4. [Option ID = 26308]
Correct Answer :-
[Option ID = 26307]
13)
[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]
Correct Answer :-
White [Option ID = 26459]
[Question ID = 6566]
14)
15)
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]
Correct Answer :-
IMAGE II [Option ID = 26256]
[Question ID = 6611]
1. 44 [Option ID = 26435]
2. 50 [Option ID = 26436]
3. 45 [Option ID = 26438]
4. 25 [Option ID = 26437]
Correct Answer :-
50 [Option ID = 26436]
[Question ID = 6607]
1. [Option ID = 26422]
2. [Option ID = 26419]
3. [Option ID = 26420]
4. [Option ID = 26421]
Correct Answer :-
[Option ID = 26421]
[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]
Correct Answer :-
17)
18)
19)
20)
-2, -32 [Option ID = 26355]
[Question ID = 6538]
1. 32 [Option ID = 26145]
2. 0 [Option ID = 26146]
3. 8 [Option ID = 26144]
4. 4 [Option ID = 26143]
Correct Answer :-
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]
4. Exactly two solutions [Option ID = 26348]
Correct Answer :-
no solution [Option ID = 26349]
[Question ID = 6599]
1. 12 [Option ID = 26389]
2. 5 [Option ID = 26387]
3. 10 [Option ID = 26388]
4. 8 [Option ID = 26390]
Correct Answer :-
10 [Option ID = 26388]
[Question ID = 6567]
1. 6 [Option ID = 26259]
2. 9 [Option ID = 26261]
21)
22)
23)
24)
3. 8 [Option ID = 26260]
4. 4 [Option ID = 26262]
Correct Answer :-
4 [Option ID = 26262]
[Question ID = 6606]
1. 2 [Option ID = 26416]
2. 5 [Option ID = 26418]
3. 3 [Option ID = 26417]
4. 4 [Option ID = 26415]
Correct Answer :-
5 [Option ID = 26418]
[Question ID = 6554]
1. 2 [Option ID = 26209]
2. 24 [Option ID = 26207]
3. 8 [Option ID = 26208]
4. 40 [Option ID = 26210]
Correct Answer :-
24 [Option ID = 26207]
[Question ID = 6557]
1. ? 3 [Option ID = 26222]
2. ? 6 [Option ID = 26221]
3. ? 14 [Option ID = 26219]
4. ? 7 [Option ID = 26220]
Correct Answer :-
? 3 [Option ID = 26222]
25)
26)
27)
[Question ID = 6613]
1. 6 [Option ID = 26445]
2. 7 [Option ID = 26446]
3. 5 [Option ID = 26444]
4. 4 [Option ID = 26443]
Correct Answer :-
6 [Option ID = 26445]
[Question ID = 6584]
1. [Option ID = 26329]
2. [Option ID = 26330]
3. [Option ID = 26328]
4. [Option ID = 26327]
Correct Answer :-
[Option ID = 26329]
[Question ID = 6534]
1. 6 [Option ID = 26128]
2. 5 [Option ID = 26129]
3. 8 [Option ID = 26127]
4. 4 [Option ID = 26130]
Correct Answer :-
8 [Option ID = 26127]
28)
29)
30)
[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]
Correct Answer :-
? 1/3 [Option ID = 26136]
[Question ID = 6612]
1. 18 [Option ID = 26439]
2. 21 [Option ID = 26441]
3. 26 [Option ID = 26442]
4. 73 [Option ID = 26440]
Correct Answer :-
21 [Option ID = 26441]
[Question ID = 6598]
1. 2 [Option ID = 26385]
2. 0 [Option ID = 26383]
3. 1 [Option ID = 26384]
4. 3 [Option ID = 26386]
Correct Answer :-
2 [Option ID = 26385]
[Question ID = 6533]
1. [Option ID = 26126]
2. [Option ID = 26124]
3. [Option ID = 26125]
4. [Option ID = 26123]
Correct Answer :-
[Option ID = 26123]
31)
32)
33)
34)
[Question ID = 6609]
1. [Option ID = 26428]
2. [Option ID = 26429]
3. [Option ID = 26430]
4. [Option ID = 26427]
Correct Answer :-
[Option ID = 26427]
[Question ID = 6546]
1. 2 [Option ID = 26176]
2. 1 [Option ID = 26175]
3. 3 [Option ID = 26177]
4. 4 [Option ID = 26178]
Correct Answer :-
3 [Option ID = 26177]
[Question ID = 6602]
1. 455 [Option ID = 26401]
2. 105 [Option ID = 26402]
3. 135 [Option ID = 26399]
4. 136 [Option ID = 26400]
Correct Answer :-
136 [Option ID = 26400]
[Question ID = 6594]
1. 80 [Option ID = 26368]
2. 85 [Option ID = 26369]
3. 84 [Option ID = 26367]
4. 83 [Option ID = 26370]
Correct Answer :-
80 [Option ID = 26368]
35)
36)
37)
[Question ID = 6575]
1. 11 [Option ID = 26292]
2. 12 [Option ID = 26291]
3. 10 [Option ID = 26293]
4. 17 [Option ID = 26294]
Correct Answer :-
11 [Option ID = 26292]
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]
Correct Answer :-
40 [Option ID = 26455]
38)
39)
40)
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]
Correct Answer :-
13 [Option ID = 26452]
[Question ID = 6564]
1. [Option ID = 26248]
2. [Option ID = 26247]
3. [Option ID = 26250]
4. [Option ID = 26249]
Correct Answer :-
[Option ID = 26250]
[Question ID = 6535]
1. 21926 [Option ID = 26131]
2. 42926 [Option ID = 26132]
3. 0 [Option ID = 26133]
4. -1 [Option ID = 26134]
Correct Answer :-
42926 [Option ID = 26132]
41)
42)
[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]
Correct Answer :-
9:2 [Option ID = 26268]
[Question ID = 6549]
1. 128 [Option ID = 26189]
2. 68 [Option ID = 26188]
3. 34 [Option ID = 26187]
4. 32 [Option ID = 26190]
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]
3. The lower right corner [Option ID = 26273]
43)
44)
45)
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]
2. 9 [Option ID = 26450]
3. 7 [Option ID = 26448]
4. 8 [Option ID = 26449]
Correct Answer :-
8 [Option ID = 26449]
[Question ID = 6547]
1. 6 [Option ID = 26181]
2. 12 [Option ID = 26179]
3. 3 [Option ID = 26182]
4. 4 [Option ID = 26180]
Correct Answer :-
4 [Option ID = 26180]
46)
47)
48)
[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]
Correct Answer :-
5 [Option ID = 26147]
[Question ID = 6588]
1. [Option ID = 26343]
2. [Option ID = 26344]
3. [Option ID = 26345]
4. [Option ID = 26346]
Correct Answer :-
[Option ID = 26344]
[Question ID = 6590]
1. 2 [Option ID = 26354]
2. 0 [Option ID = 26351]
3. 1 [Option ID = 26353]
4. infinite [Option ID = 26352]
Correct Answer :-
infinite [Option ID = 26352]
[Question ID = 6540]
49)
50)
51)
1. 2 [Option ID = 26151]
2. 1 [Option ID = 26154]
3. 0 [Option ID = 26153]
4. ? 2 [Option ID = 26152]
Correct Answer :-
2 [Option ID = 26151]
[Question ID = 6559]
1. [Option ID = 26229]
2. [Option ID = 26227]
3. [Option ID = 26228]
4. [Option ID = 26230]
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]
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]
1. [Option ID = 26431]
2. [Option ID = 26434]
3. [Option ID = 26432]
4. [Option ID = 26433]
Correct Answer :-
[Option ID = 26432]
52)
53)
[Question ID = 6550]
1. [Option ID = 26191]
2. [Option ID = 26194]
3. [Option ID = 26192]
4. [Option ID = 26193]
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]
3. g'(0) > g'(2) > g'(-2) [Option ID = 26167]
4. g'(2) > g'(-2) > g'(0) [Option ID = 26168]
Correct Answer :-
54)
55)
56)
g'(-2) > g'(2) > g'(0) [Option ID = 26170]
[Question ID = 6568]
1. [Option ID = 26263]
2. [Option ID = 26265]
3. [Option ID = 26264]
4. [Option ID = 26266]
Correct Answer :-
[Option ID = 26264]
[Question ID = 6562]
1. 0 [Option ID = 26239]
2. 5 [Option ID = 26241]
3. 6.5 [Option ID = 26240]
4. 8 [Option ID = 26242]
Correct Answer :-
6.5 [Option ID = 26240]
[Question ID = 6531]
1. [Option ID = 26115]
2. [Option ID = 26116]
3. [Option ID = 26117]
4. [Option ID = 26118]
Correct Answer :-
[Option ID = 26116]
57)
58)
59)
[Question ID = 6596]
1. [Option ID = 26377]
2. [Option ID = 26376]
3. [Option ID = 26378]
4. [Option ID = 26375]
Correct Answer :-
[Option ID = 26378]
[Question ID = 6561]
1. [Option ID = 26236]
2. [Option ID = 26238]
3. [Option ID = 26235]
4. [Option ID = 26237]
Correct Answer :-
[Option ID = 26235]
[Question ID = 6563]
1. [Option ID = 26245]
2. [Option ID = 26244]
3. [Option ID = 26246]
4. [Option ID = 26243]
Correct Answer :-
[Option ID = 26243]
60)
61)
62)
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]
3. [Option ID = 26408]
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]
1. [Option ID = 26414]
2. [Option ID = 26412]
3. [Option ID = 26411]
4. [Option ID = 26413]
Correct Answer :-
[Option ID = 26413]
[Question ID = 6552]
1. 2 [Option ID = 26200]
2. 0 [Option ID = 26201]
3. 0.5 [Option ID = 26202]
4. 1 [Option ID = 26199]
Correct Answer :-
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]
1. 590438611224 [Option ID = 26288]
2. 634062082500 [Option ID = 26289]
3. 66701250 [Option ID = 26290]
4. 760874499 [Option ID = 26287]
Correct Answer :-
760874499 [Option ID = 26287]
65)
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]
Correct Answer :-
66)
67)
68)
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]
Correct Answer :-
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]
2. 369260 [Option ID = 26281]
3. 369512 [Option ID = 26280]
4. 97240 [Option ID = 26279]
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]
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)
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]
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]
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]
Correct Answer :-
Shukla conducts interviews alone [Option ID = 26481]
Who will conduct interviews at Chandigarh? [Question ID = 6623]
1. Mishra [Option ID = 26486]
2. Nair [Option ID = 26483]
71)
72)
73)
3. Singh [Option ID = 26484]
4. Rao [Option ID = 26485]
Correct Answer :-
Nair [Option ID = 26483]
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]
Correct Answer :-
Rao-Singh [Option ID = 26476]
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]
Correct Answer :-
Surat [Option ID = 26471]
74)
75)
[Question ID = 6548]
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 :-
GRAPH III [Option ID = 26185]
[Question ID = 6532]
1. [Option ID = 26121]
2. [Option ID = 26122]
3. [Option ID = 26120]
4. [Option ID = 26119]
Correct Answer :-
[Option ID = 26121]
[Question ID = 6601]
1. [Option ID = 26395]
2. [Option ID = 26396]
3. [Option ID = 26398]
4. [Option ID = 26397]
76)
77)
78)
79)
Correct Answer :-
[Option ID = 26396]
[Question ID = 6587]
1. [Option ID = 26342]
2. [Option ID = 26340]
3. [Option ID = 26339]
4. [Option ID = 26341]
Correct Answer :-
[Option ID = 26341]
[Question ID = 6528]
1. 15 [Option ID = 26106]
2. 12 [Option ID = 26103]
3. 14 [Option ID = 26104]
4. 16 [Option ID = 26105]
Correct Answer :-
14 [Option ID = 26104]
[Question ID = 6608]
1. [Option ID = 26424]
2. [Option ID = 26423]
3. [Option ID = 26426]
4. [Option ID = 26425]
Correct Answer :-
[Option ID = 26423]
[Question ID = 6556]
1. [Option ID = 26218]
2. [Option ID = 26215]
3. [Option ID = 26216]
80)
81)
82)
83)
4. [Option ID = 26217]
Correct Answer :-
[Option ID = 26217]
[Question ID = 6542]
1. [Option ID = 26159]
2. [Option ID = 26162]
3. [Option ID = 26160]
4. [Option ID = 26161]
Correct Answer :-
[Option ID = 26161]
[Question ID = 6597]
1. 2 [Option ID = 26381]
2. 0 [Option ID = 26379]
3. 1 [Option ID = 26380]
4. 3 [Option ID = 26382]
Correct Answer :-
2 [Option ID = 26381]
[Question ID = 6545]
1. 666 [Option ID = 26172]
2. 900 [Option ID = 26171]
3. 810 [Option ID = 26174]
4. 342 [Option ID = 26173]
Correct Answer :-
900 [Option ID = 26171]
84)
85)
86)
87)
[Question ID = 6558]
1. 144 [Option ID = 26223]
2. 72 [Option ID = 26226]
3. 576 [Option ID = 26225]
4. 288 [Option ID = 26224]
Correct Answer :-
576 [Option ID = 26225]
[Question ID = 6593]
1. [Option ID = 26364]
2. [Option ID = 26363]
3. [Option ID = 26366]
4. [Option ID = 26365]
Correct Answer :-
[Option ID = 26364]
[Question ID = 6529]
1. [Option ID = 26109]
2. [Option ID = 26108]
3. [Option ID = 26110]
4. [Option ID = 26107]
Correct Answer :-
[Option ID = 26109]
[Question ID = 6592]
1. 1 [Option ID = 26359]
2. 5 [Option ID = 26361]
3. 3 [Option ID = 26360]
4. 9 [Option ID = 26362]
Correct Answer :-
3 [Option ID = 26360]
88)
89)
[Question ID = 6551]
1. 3.5 [Option ID = 26195]
2. 1 [Option ID = 26196]
3. -3 [Option ID = 26197]
4. 2 [Option ID = 26198]
Correct Answer :-
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]
4. 4/27 [Option ID = 26304]
Correct Answer :-
1/3 [Option ID = 26303]
90)
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]
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]
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]
3. 22/63 [Option ID = 26316]
4. 1/18 [Option ID = 26317]
Correct Answer :-
91)
92)
93)
94)
22/63 [Option ID = 26316]
[Question ID = 6555]
1. [Option ID = 26213]
2. [Option ID = 26214]
3. [Option ID = 26212]
4. [Option ID = 26211]
Correct Answer :-
[Option ID = 26212]
[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]
Correct Answer :-
53/3 [Option ID = 26163]
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]
Correct Answer :-
M @ R $ D ? V means M and D are husband and wife [Option ID = 26494]
95)
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]
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]
1. [Option ID = 26391]
2. [Option ID = 26394]
3. [Option ID = 26392]
4. [Option ID = 26393]
Correct Answer :-
[Option ID = 26394]
[Question ID = 6537]
1. 144 [Option ID = 26142]
2. 286 [Option ID = 26139]
3. 12 [Option ID = 26141]
4. 576 [Option ID = 26140]
Correct Answer :-
286 [Option ID = 26139]
[Question ID = 6541]
1. ? 1 [Option ID = 26156]
2. 1 [Option ID = 26155]
3. ? 5 [Option ID = 26158]
4. 5 [Option ID = 26157]
Correct Answer :-
? 1 [Option ID = 26156]
98)
99)
100)
[Question ID = 6530]
1. [Option ID = 26111]
2. [Option ID = 26113]
3. [Option ID = 26114]
4. [Option ID = 26112]
Correct Answer :-
[Option ID = 26111]
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]
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.
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]
3. ? [Option ID = 26302]
4. 3/8 [Option ID = 26301]
Correct Answer :-
1/16 [Option ID = 26299]
FirstRanker.com - FirstRanker's Choice
This post was last modified on 29 January 2020