National Testing Agency
Question Paper Name : B.PLANNING 1st Sep 2020 Shift
Subject Name : B.PLANNING
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Creation Date : 2020-09-01 22:08:49
Duration : 180
Total Marks : 400
Display Marks: Yes
Share Answer Key With Delivery Engine : Yes
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Actual Answer Key : Yes
B PLANNING
Group Number : 1
Group Id : 40503677
Group Maximum Duration : 0
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Group Minimum Duration : 180
Show Attended Group? : No
Edit Attended Group? : No
Break time : 0
Group Marks : 400
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Is this Group for Examiner? : No
Mathematics
Section Id : 405036267
Section Number : 1
Section type : Online
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Mandatory or Optional : Mandatory
Number of Questions : 25
Number of Questions to be attempted : 25
Section Marks : 100
Display Number Panel : Yes
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Group All Questions : Yes
Mark As Answered Required? : Yes
Sub-Section Number : 1
Sub-Section Id : 405036551
Question Shuffling Allowed : Yes
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Question Number : 1 Question Id : 4050367543 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.
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Then which of the following is not true?
Options:
R-1=R, where R-1 is the inverse of R.
40503627556.
40503627557. Range of R is A.
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40503627558. R is reflexive and symmetric.
40503627559. R is symmetric and transitive.
Question Number : 1 Question Id : 4050367543 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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? A = {1, 2, 3} ? A ? ? ? R ? ? ? ? :
aRb a2-b2=5
? ? ? ? ? ? ? ? ?
Options:
R-1=R, ? R-1, R ? ? (inverse) ?
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40503627556.
40503627557. R ? ? A ?
40503627558. R ? ? ? ?
40503627559. R ? ? ? ?
Question Number : 1 Question Id : 4050367543 Question Type : MCQ Option Shuffling : Yes Display Ques
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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. ? ? ?. ? ? ? ? ? ?
Options:
40503627556. R-1 = R, ? R-1 ? R ? ? ?.
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40503627557. R ? ? A ?.
40503627558. R ? ? ? ? ?.
40503627559. R ? ? ? ? ?.
Question Number : 2 Question Id : 4050367544 Question Type : MCQ Option Shuffling : Yes Display Ques
Mandatory : No Single Line Question Option : No Option Orientation : Vertical
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Correct Marks : 4 Wrong Marks : 1
The locus of the point z = x + iy (x, y ? R, i =v-1) satisfying arg(z-3/z+3) = p/3 is:
Options:
40503627560. a circle with radius = 2v3
40503627561. a circle with centre at (v3,0)
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40503627562. a circle with centre at (0, 2v3) and radius 3
40503627563. an ellipse with length of its minor axis = 3
Question Number : 2 Question Id : 4050367544 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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? z = x + iy (x,y ? R, i=v-1), ? arg(z-3/z+3) = p/3 ? ? ? ?, ? ? ? ? :
Options:
40503627560. ? ? ? ? 2v3 ?
40503627561. ? ? ? ? (v3, 0) ?
40503627562. ? ? ? ? (0, 2v3) ? ? 3 ?
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40503627563. ? ? ? ? ? ? ? 3 ?
Question Number : 2 Question Id : 4050367544 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(z-3/z+3) = p/3 ? ? ? ? ? ? z = x + iy (x, y ? R, i=v-1) ? ? ?
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Options:
40503627560. 2v3 ? ? ? ? ?.
40503627561. (v3, 0) ? ? ? ?.
40503627562. (0, 2v3) ? ? 3 ? ? ? ?.
40503627563. ? ? ? =3 ? ? ? ? ?.
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Question Number : 3 Question Id : 4050367545 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, x2-(a2+1)x-(a2+2) =0 has
Options:
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40503627564. both roots in (-3,0)
40503627565. one root in (0, 2) and another root in (-2, 0)
40503627566. one root in [2, 3) and another root in (-2, 0)
40503627567. one root in (-3,-2) and another root in (0, 2]
Question Number : 3 Question Id : 4050367545 Question Type : MCQ Option Shuffling : Yes Display Ques
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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:
40503627564. ? ? ? (-3, 0) ? ?
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40503627565. ? ? ? (0, 2) ? ? ? ? (-2,0) ? ?
40503627566. ? ? ? [2, 3) ? ? ? ? (-2,0) ? ?
40503627567. ? ? ? (-3,-2) ? ? ? ? (0,2] ? ?
Question Number : 3 Question Id : 4050367545 Question Type : MCQ Option Shuffling : Yes Display Ques
Mandatory : No Single Line Question Option : No Option Orientation : Vertical
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Correct Marks : 4 Wrong Marks : 1
? ? x2- 2ax + a2 - 1 = 0, (a e R) ? ? ? ? (-2, 2) ? ?, ? ? x2-(a2+1)x-(a2+2)=0:
Options:
40503627564. ? ? ? (-3, 0) ? ?.
40503627565. ? ? ? (0, 2) ? ? ? ? (-2,0) ? ?.
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40503627566. ? ? ? [2, 3) ? ? ? ? (-2,0) ? ?.
40503627567. ? ? ? (-3, -2) ? ? ? ? (0, 2] ? ?.
Question Number : 4 Question Id : 4050367546 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 :
Options:
40503627568. 2
40503627569. -2
40503627570. 4
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40503627571. -4
Question Number : 4 Question Id : 4050367546 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 ? ? ? ? ? ?, ? q-p ? ? :
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Options:
40503627568. 2
40503627569. -2
40503627570. 4
40503627571. -4
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Question Number : 4 Question Id : 4050367546 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 ? ? ? ? ? ?, ? q-p=
Options:
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40503627568. 2
40503627569. -2
40503627570. 4
40503627571. -4
Question Number : 5 Question Id : 4050367547 Question Type : MCQ Option Shuffling : Yes Display Ques
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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 GOING are arranged as in dictionary. Then the word OGGIN occurs at the place which is:
Options:
40503627572. (48)th
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40503627573. (49)th
40503627574. (50)th
40503627575. (51)th
Question Number : 5 Question Id : 4050367547 Question Type : MCQ Option Shuffling : Yes Display Ques
Mandatory : No Single Line Question Option : No Option Orientation : Vertical
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Correct Marks : 4 Wrong Marks : 1
? GOING ? ? 5 ? ? ? ? ? ? ? ? ? (? ? ? ? ? ? ? ?), ? ? ? ? ? ? ?, ? ? OGGIN ? ? ? ? ? ? ? ?
Options:
40503627572. (48) ?
40503627573. (49) ?
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40503627574. (50) ?
40503627575. (51) ?
Question Number : 5 Question Id : 4050367547 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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GOING ? ? ? ? ? ? ? ? (? ? ?) ? ? ?, OGGIN ? ? ? ?
Options:
40503627572. 48 ?
40503627573. 49 ?
40503627574. 50 ?
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40503627575. 51 ?
Question Number : 6 Question Id : 4050367548 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 2/3 + 2/92 + 10/93 + 18/94 + 26/95 +.....upto infinity, is equal to :
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Options:
40503627576. 5/8
40503627577. 17/24
40503627578. 11/24
40503627579. 5/8
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Question Number : 6 Question Id : 4050367548 Question Type : MCQ Option Shuffling : Yes Display Ques
Mandatory : No Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 4 Wrong Marks : 1
? 2/3 + 2/92 + 10/93 + 18/94 + 26/95 + .... ? ? :
Options:
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40503627576. 5/8
40503627577. 17/24
40503627578. 11/24
40503627579. 5/8
Question Number : 6 Question Id : 4050367548 Question Type : MCQ Option Shuffling : Yes Display Ques
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Mandatory : No Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 4 Wrong Marks : 1
? 2/3 + 2/92 + 10/93 + 18/94 + 26/95 + ...... ? ? ? =
Options:
40503627576. 5/8
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40503627577. 17/24
40503627578. 11/24
40503627579. 5/8
Question Number : 7 Question Id : 4050367549 Question Type : MCQ Option Shuffling : Yes Display Ques
Mandatory : No Single Line Question Option : No Option Orientation : Vertical
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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:
40503627580. 5
40503627581. 4
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40503627582. 3
40503627583. 2
Question Number : 7 Question Id : 4050367549 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:
40503627580. 5
40503627581. 4
40503627582. 3
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40503627583. 2
Question Number : 7 Question Id : 4050367549 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:
40503627580. 5
40503627581. 4
40503627582. 3
40503627583. 2
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Question Number : 8 Question Id : 4050367550 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 h?0 f(h)/h = 3, then ?10n=1 f(n) is equal to:
Options:
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40503627584. 55/2
40503627585. 275/2
40503627586. 55/4
40503627587. 225/4
Question Number : 8 Question Id : 4050367550 Question Type : MCQ Option Shuffling : Yes Display Ques
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Mandatory : No Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 4 Wrong Marks : 1
? f ? ? ? ? ? ? x, y ? R ? ?, f(x + y) = f(x)+f(y) - xy ? ? ? ? ? lim h?0 f(h)/h = 3 ?, ? ?10n=1 f(n) ? ? :
Options:
40503627584. 55/2
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40503627585. 275/2
40503627586. 55/4
40503627587. 225/4
Question Number : 8 Question Id : 4050367550 Question Type : MCQ Option Shuffling : Yes Display Ques
Mandatory : No Single Line Question Option : No Option Orientation : Vertical
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Correct Marks : 4 Wrong Marks : 1
? f ? ? x, y e R ? f(x+y)=f(x)+f(y) - xy ? ? ? ? ? ? ?. ? lim h?0 f(h)/h = 3 ?, ? ?10n=1 f(n) =
Options:
40503627584. 55/2
40503627585. 275/2
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40503627586. 55/4
40503627587. 225/4
Question Number : 9 Question Id : 4050367551 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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For non-zero real numbers a, b, if y(x) = a + bx5/2/x1/4 , x > 0 and y" (5) = 0, then the ratio a: bis:
Options:
40503627588. v5:3
40503627589. 3:v5
40503627590. v5:v3
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40503627591. 3:1
Question Number : 9 Question Id : 4050367551 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+bx5/2/x1/4 , x > 0 ? y" (5) = 0 ?, ? ? a : b ? ? :
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Options:
40503627588. v5:3
40503627589. 3:v5
40503627590. v5:v3
40503627591. 3:1
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Question Number : 9 Question Id : 4050367551 Question Type : MCQ Option Shuffling : Yes Display Ques
Mandatory : No Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 4 Wrong Marks : 1
? y(x) = a + bx5/2/x1/4 , a, b ? R, x > 0 ? y'' (5)= 0 ?, ? ? a : b =
Options:
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40503627588. v5:3
40503627589. 3:v5
40503627590. v5:v3
40503627591. 3:1
Question Number : 10 Question Id : 4050367552 Question Type : MCQ Option Shuffling : Yes Display Ques
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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:
40503627592. no critical point.
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40503627593. a point of local maxima and a point of local minima.
40503627594. a point of local maxima and a point of inflection.
40503627595. a point of local minima and a point of inflection.
Question Number : 10 Question Id : 4050367552 Question Type : MCQ Option Shuffling : Yes Display Ques
Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical
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Correct Marks : 4 Wrong Marks : 1
? f(x) = sin2x + 2cosx, xe (3p/4, 3p/4) ? :
Options:
40503627592. ? ? ? ? ?
40503627593. ? ?
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