National Testing Agency
| Question Paper Name : | B PLANNING AND B ARCH |
| Subject Name : | B PLANNING AND B ARCH |
| Creation Date : | 2020-09-01 22:08:50 |
| Duration : | 210 |
| Total Marks : | 500 |
| Display Marks: | Yes |
| Share Answer Key With Delivery Engine : | Yes |
| Actual Answer Key : | Yes |
B PLANNING AND B ARCH
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| Group Number : | 1 |
| Group Id : | 40503679 |
| Group Maximum Duration : | 0 |
| Group Minimum Duration : | 210 |
| Show Attended Group? : | No |
| Edit Attended Group? : | No |
| Break time : | 0 |
| Group Marks : | 500 |
| Is this Group for Examiner? : | No |
Mathematics
| Section Id : | 405036273 |
| Section Number : | 1 |
| Section type : | Online |
| Mandatory or Optional : | Mandatory |
| Number of Questions : | 25 |
| Number of Questions to be attempted : | 25 |
| Section Marks : | 100 |
| Display Number Panel : | Yes |
| Group All Questions : | Yes |
| Mark As Answered Required? : | Yes |
| Sub-Section Number : | 1 |
| Sub-Section Id : | 405036559 |
| Question Shuffling Allowed : | Yes |
Question Number : 1 Question Id : 4050367720 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
Let A = {1, 2, 3}. Define a relation R on A as:
aRb a²-b²=5.
Then which of the following is not true?
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Options:
R-1=R, where R-1 is the inverse of R.
40503628226.
40503628227. Range of R is A.
40503628228. R is reflexive and symmetric.
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40503628229. R is symmetric and transitive.
Question Number : 1 Question Id : 4050367720 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
? A = {1, 2, 3} ? A ? ? ? R ? ? ? ? :
aRb a²-b²=5
? ? ? ? ? ? ? ? ?
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Options:
R-1=R, ? R-1, R ? ?
40503628226. (inverse) ?
R ? ? A ?
40503628227.
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40503628228. R ? ? ? ?
40503628229. R ? ? ? ?
Question Number : 1 Question Id : 4050367720 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
? A = {1, 2, 3} ?. A ? ? R ? aRba²-b²=5.
? ? ?. ? ? ? ? ? ?
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Options:
40503628226. R-1 = R, ? R-1 ? R ? ? ?.
R ? ? A ?.
40503628227.
40503628228 R ? ? ? ? ?.
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40503628229. R ? ? ? ? ?.
Question Number : 2 Question Id : 4050367721 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
The locus of the point
z = x + iy (x, y ? R, i =v-1) satisfying
argis:
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Options:
40503628230. a circle with radius = 2v3
40503628231. a circle with centre at (v3,0)
40503628232. a circle with centre at (0, 2v3) and radius 3
40503628233. an ellipse with length of its minor axis = 3
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Question Number : 2 Question Id : 4050367721 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
? z = x + iy (x,y ? R, i=v-1), ?
arg 3 (2+3) = ? ? ? ?, ? ? ? ? :
Options:
40503628230. ? ? ? ? 2v3 ?
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40503628231. ? ? ? ? (v3, 0) ?
40503628232. ? ? ? ? (0, 2v3) ? ? 3 ?
40503628233. ? ? ? ? ? ? ? 3 ?
Question Number : 2 Question Id : 4050367721 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
arg (+3)=55 ? ? ? ? ? ?
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z = x + iy (x, y ? R, i=v1) ? ? ?
Options:
40503628230. 2v5 ? ? ? ? ?.
40503628231. (v3, 0) ? ? ? ?.
40503628232. (0, 2v3) ? ? 3 ? ? ? ?.
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40503628233. ? ? ? =3 ? ? ? ? ?.
Question Number : 3 Question Id : 4050367722 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
If both the roots of the equation,
x²-2ax+a²-1=0 (a? R) lie in the interval
(-2, 2), then the equation,
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x²-(a²+1)x(a²+2) =0 has
Options:
40503628234. both roots in (-3,0)
40503628235. one root in (0, 2) and another root in (-2, 0)
40503628236. one root in [2, 3) and another root in (-2, 0)
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40503628237. one root in (-3,-2) and another root in (0, 2]
Question Number : 3 Question Id : 4050367722 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
? ?, x²-2ax+a²-1=0 (a ? R) ?
? ?, ? (2, 2) ? ?, ? ?,
x²-(a²+1)x(a²+2) = 0:
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Options:
40503628234. ? ? ? (-3, 0) ? ?
40503628235. ? ? ? (0, 2) ? ? ? ? (-2,0) ? ?
40503628236. ? ? ? [2, 3) ? ? ? ? (-2,0) ? ?
40503628237. ? ? ? (-3,-2) ? ? ? ? (0,2] ? ?
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Question Number : 3 Question Id : 4050367722 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
? ? x²- 2ax + a² - 1 = 0, (a e R) ? ?
? ? (-2, 2) ? ?, ? ?
x²-(a²+1)x(a²+2)=0:
Options:
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40503628234. ? ? ? (-3, 0) ? ?.
40503628235. ? ? ? (0, 2) ? ? ? ? (-2,0) ? ?.
40503628236. ? ? ? [2, 3) ? ? ? ? (-2,0) ? ?.
40503628237. ? ? ? (-3, -2) ? ? ? ? (0, 2] ? ?.
Question Number : 4 Question Id : 4050367723 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
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If the system of equations
2x+y+pz=-1
3x-2y+z=q
5x-8y+9z=5
has more than one solution, then q-p is equal to :
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Options:
40503628238. 2
40503628239.-2
40503628240. 4
40503628241.-4
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Question Number : 4 Question Id : 4050367723 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
? ? ?
2x+y+pz=-1
3x-2y+z=q
5x-8y+9z=5
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? ? ? ? ? ?, ? q-p ? ? :
Options:
40503628238.2
40503628239.-2
40503628240. 4
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40503628241.-4
Question Number : 4 Question Id : 4050367723 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
? ? ?
2x+y+pz=-1
3x-2y+z=q
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5x-8y+9z=5
? ? ? ? ? ?, ? q-p=
Options:
40503628238. 2
40503628239.-2
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40503628240. 4
40503628241.-4
Question Number : 5 Question Id : 4050367724 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
All the words (with or without meaning)
formed using all the five letters of the word
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GOING are arranged as in dictionary. Then
the word OGGIN occurs at the place which is:
Options:
40503628242. (48)th
40503628243. (49)th
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40503628244. (50)th
40503628245. (51)th
Question Number : 5 Question Id : 4050367724 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
? GOING ? ? 5 ? ? ? ? ?
? ? ? ? (? ? ? ? ? ? ?
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?), ? ? ? ? ? ? ?, ?
? OGGIN ? ? ? ? ? ? ? ?
Options:
40503628242. (48) ?
40503628243. (49) ?
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40503628244. (50) ?
40503628245. (51) ?
Question Number : 5 Question Id : 4050367724 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
GOING ? ? ? ? ? ?
? ? (? ? ?) ? ?
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?, OGGIN ? ? ? ?
Options:
40503628242. 48 ?
40503628243. 49 ?
40503628244. 50 ?
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40503628245. 51 ?
Question Number : 6 Question Id : 4050367725 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
The sum
2 2 10 18 26 3 +++++.....upto
infinity, is equal to :
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Options:
40503628246. 5/8
40503628247. 17/24
40503628248. 11/24
40503628249. 5/8
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Question Number : 6 Question Id : 4050367725 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
?
2 2 10 18 26 3 +++++ ....
? ? :
Options:
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40503628246. 5/8
40503628247. 17/24
40503628248. 11/24
40503628249. 5/8
Question Number : 6 Question Id : 4050367725 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
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?
2 2 10 18 26 3 +++++ ...... ?
? ? =
Options:
40503628246. 5/8
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Question Number : 7 Question Id : 4050367726 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
Let r and s be respectively the remainders
when (12)23 and (23)12 are divided by 5,
then r + s is equal to :
Options:
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40503628250. 5
40503628251. 4
40503628252. 3
40503628253. 2
Question Number : 7 Question Id : 4050367726 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
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? (12)23 ? (23)12 ? 5 ? ? ? ?
? ? ? ? ? s ?, ? r+s ? ? :
Options:
40503628250. 5
40503628251. 4
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40503628252. 3
40503628253. 2
Question Number : 7 Question Id : 4050367726 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
? r ? s ? ? (12)23 ? (23)12 ? 5 ?
? ? ? ?, ? r+s=
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Options:
40503628250. 5
40503628251. 4
40503628252. 3
40503628253. 2
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Question Number : 8 Question Id : 4050367727 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
Let fbe a differentiable function satisfying
f(x+y)=f(x)+f(y)-xy for all x, y ? R. If
lim f(h)/h = 3, then ? f(n) is equal to:
Options:
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40503628254. -55/2
40503628255. 275/2
40503628256. -55/4
40503628257. 225/4
Question Number : 8 Question Id : 4050367727 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
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? f ? ? ? ? ? ? x, y ? R
? ?, f(x + y) = f(x)+f(y) - xy ? ? ?
? ? lim f(h)/h = 3 ?, ? ? f(n) ? ? :
Options:
40503628254. -55/2
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40503628255. 275/2
40503628256. -55/4
40503628257. 225/4
Question Number : 8 Question Id : 4050367727 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
? f ? ? x, y e R ?
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f(x+y)=f(x)+f(y) - xy ? ? ? ?
? ? ?. ? lim f(h)/h = 3 ?, ?
Sf(n) =
Options:
40503628254. -55/2
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40503628255. 275/2
40503628256. -55/4
40503628257. 225/4
Question Number : 9 Question Id : 4050367728 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
For non-zero real numbers a, b, if
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y(x) = (a + bx½)/x5/4 , x > 0 and y" (5) = 0, then
the ratio a: b is:
Options:
40503628258. v5:3
40503628259. 3:v5
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40503628260. v5:v3
40503628261. 3:1
Question Number : 9 Question Id : 4050367728 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
? ? ? a ? b ? ? ?
y(x) = (a+bx½)/x5/4 , x > 0 ? y" (5) = 0 ?, ?
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? a : b ? ? :
Options:
40503628258. v5:3
40503628259. 3:v5
40503628260. v5:v3
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40503628261. 3:1
Question Number : 9 Question Id : 4050367728 Question Type : MCQ Option Shuffling : Yes Display Ques Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
a + b x2
y(x) = , a, b ? R, x > 0 ?
x/4
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y'' (5)= 0 ?, ? ? a : b =
Options:
40503628258. v5:3
40503628259. 3:v5
40503628260. v5:v3
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40503628261. 3:1
Question Number : 10 Question Id : 4050367729 Question Type : MCQ Option Shuffling : Yes Display Que Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
The function f(x) = sin2x + 2cosx, ?e (3p/4 , 3p/4) has:
Options:
40503628262. no critical point.
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40503628263. a point of local maxima and a point of local minima.
40503628264. a point of local maxima and a point of inflection.
40503628265. a point of local minima and a point of inflection.
Question Number : 10 Question Id : 4050367729 Question Type : MCQ Option Shuffling : Yes Display Que Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 4 Wrong Marks : 1
? f(x) = sin2x + 2cosx, xe (3p/4 , 3p/4)
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? :
Options:
40503628262. ? ? ? ? ?
40503628263. ? ? ? ? ? ? ? ? ? ? ?
40503628264. ? ? ? ? ? ? ? ? ? ?
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