GAT Subject Mathematics MCQ'S Test Preparation for Pakistani Students

MCQ's Test For GAT Subject Mathematics MCQ's Test

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GAT Subject Mathematics MCQ's Test

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Question # 1

If the angle between two vectors with magnitude 8 and 2 is 60° then their scalar product is

Question # 2

The center of a circle of radius 10 is on the origin which of the following points lies with in the circle

Question # 3

If α and β be irrational roots of a quadratic equation, then

Question # 4

Sin-1 (-x) =?

Question # 5

If 4 - x > 5, then

Question # 6

Complex roots of real quadratic equation occur in

Question # 7

If A and B are two events then P(A∪B) =? (when A and B are disjoint)

Question # 8

x-1/(x+2)(x-2) =

Question # 9

If x lies in {0, 2π} and Cosec x = 2 then x =

Question # 10

The multiplicative inverse of -1 in the set {1-,1} is

Question # 11

The nth term in G.P 3,-6,12,............ is

Question # 12

The nth term of A,P:1,5,9,15...........is given by

Question # 13

The fifth term of the sequence an = 3n - 2 is

Question # 14

In general matrices do not satisfy

Question # 15

In the figure angle A is =

Question # 16

The multiplicative inverse of x such that x = 0 is

Question # 17

For any set X, X∪X is

Question # 18

The equation of the line with gradient 1 passing through the point (h,k) is

Question # 19

Domain of Cosecθ is

Question # 20

If you looking a high point from the ground then the angle formed is

Question # 21

x is a member of the set {-1,0,3,5} y is a member of the set {-2,1,2,4} which is possible?

Question # 22

The direction cosines of y-axis are

Question # 23

The value of Cos (1/2 Cos-1 1/2) is equal to

Question # 24

The value of x, and y, when (x+iy)2=5+4i

Question # 25

If x < y, 2x = A and 2y = B then

Question # 26

Given eight points in a plane no three of which are collinear how many lines do the points determine?

Question # 27

∫1/ax +b dx =

Question # 28

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The student enrolled for English cannot attend any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics.

Question # 29

r + 3 > 5 then which is true

Question # 30

The area of circle of unit radius=

Question # 31

Which is not a half plane

Question # 32

If a rectangle has an area 81x2 and length of 27x. then what is its width?

Question # 33

The set { {a,b} } is

Question # 34

If A = (3,8) and B = (5,6) then the distance between A and B is

Question # 35

In the figure PS is perpendicular to QR, if PQ = PR 26 and P8 = 24,then QR=

Question # 36

Write the first four term of the arithmetic sequence if a1 = 5 and other three consecutive terms are 23,26,29

Question # 37

If sinθ = 1 then θ =

Question # 38

The radius of the circle (x- 1)2 + (y + 3)2 =64 is

Question # 39

The perpendicular bisector of any chord of a circle

Question # 40

The magnitude of a vector can never be

Question # 41

If Sin-1 x + cos-1 y = π, then x and y are

Question # 42

If a and b are any two distinct negative real numbers and G-ab where A.G.H represent arithmetic geometric and harmonic means then

Question # 43

∫cot (ax + b) dx =

Question # 44

The sum of the ages of Nazish and his son is 56 years. Eight years ago. Nazish was 3 time as old as his son. How old is the son now?

Question # 45

Sin 720° = ________

Question # 46

If A and B are matrices such that AB=BA=I then

Question # 47

The curves y =x2, y= x interest at

Question # 48

In which quadrant is the solution of the equation sin x - 1 = 0

Question # 49

P(x) = 2x4 -3x3 +2x-1 is polynomial of degree

Question # 50

Area of ΔABC=

Question # 51

The common difference of the sequence 7,4,1......is

Question # 52

Cot 360° =______.

Question # 53

Sec-1 x=

Question # 54

Tan-1 1/x =______

Question # 55

The graph of a quadratic function is

Question # 56

Cse π/3

Question # 57

If f1 (x) and f2  (x) are any two anti derivatives of a function F (x) then the value of f1 (x) = f2 (x)

Question # 58

The mid point of the line joining (=1,-3) to(3,-5) is

Question # 59

Two dice are rolled The number of possible out come in which at least one die shows 2 is?

Question # 60

AreCot √3 =?

Question # 61

∫sec (ax + b) tan(ax + b) dx=_______

Question # 62

The complement of set A relative to universal set U is the set

Question # 63

Sin(a + b) + Sin(a- b) =

Question # 64

120° degrees are equal to how many radians?

Question # 65

Sin-1 [-1/2] = ______.

Question # 66

Two natural numbers whose sum is 25 and difference is 5, are

Question # 67

Which is in the solution set of 4x - 3y <2

Question # 68

The two consecutive positive integers whose product is 56 are

Question # 69

A sequence of numbers whose reciprocals forms an arithmetic sequence is called

Question # 70

If Cosα = 3/5, Cosβ = 5/13, then

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NAT-I Mathematics Chapter 1 Important MCQ's

Sr.# Question Answer
1 In the figure PS is perpendicular to QR, if PQ = PR 26 and P8 = 24,then QR=
A. 10
B. 20
C. 40
D. 26
2 If a and b are any two distinct negative real numbers and G-ab where A.G.H represent arithmetic geometric and harmonic means then
A. 1
B. ω2
C. ω
D. 0
3 Given X, Y are any two sets such that number of elements in X=28, number of elements in set Y=28, and number of elements in set X∪Y=54, then number of elements in set X∩Y=
A. -7 + 2i
B. 7 + 2i
C. 7-2i
D. √53
4 The set of all positive even integers is
A. Φ
B. {1,2,3}
C. {Φ}
D. {0}
5 In general matrices do not satisfy
A. Not a group
B. A group w.r.t. subtraction
C. A group w.r.t. division
D. A group w.r.t. multiplication
6 The mid point of the line joining (=1,-3) to(3,-5) is
A. (1, 1)
B. (1,-1)
C. (2, -8)
D. (1, -4)
7 Domain of Y = csc x is
A. R - nπ, n ε I
B. R
C. R -nπ/2,nεI
D. All negative Integers
8 Sin x + Cos x=1 x=
A. π
B. π/2
C. π/3
D. π/4
9 The set (Q, .)
A. Infinite set
B. Singleton set
C. Two points set
D. None
10 The principal value of sin-1 [√3/2] is
A. π/3
B. -π/3
C. 2π/3
D. 5π/3

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