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

A function F(x) is called even if

Question # 2

∫1/ax +b dx =

Question # 3

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

Question # 4

The value of the polynomial 3x3 + 4x2 - 5x + 4 at x = -1 is

Question # 5

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 # 6

In 30,60,90 triangle if the smallest side is 6 than the side opposite to the angle of 60o is

Question # 7

Cse π/3

Question # 8

Period of Sin 2x =

Question # 9

Sin 720° = ________

Question # 10

Every prime number is also

Question # 11

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

Question # 12

If 4 - x > 5, then

Question # 13

∫sec (ax + b) tan(ax + b) dx=_______

Question # 14

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

Question # 15

The circle (x -2)2 + (y + 3)2 =4 is not concentric with the circle

Question # 16

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 # 17

If ab > 0 and a < 0, which of the following is negative?

Question # 18

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

Question # 19

Derivative of strictly increasing function is always

Question # 20

The general solution of the differential equation dy/dx = log x is

Question # 21

Sin (2π -θ) =______.

Question # 22

F(x) = xx decreases in the interval

Question # 23

If |A| ≠ 0 then A is called

Question # 24

Sin-1 (√2/2)=?

Question # 25

The length of rectangle is twice as much as its breadth. If the perimeter is 120 cm, the length of the rectangle is

Question # 26

An m x n matrix is said to be rectangular if

Question # 27

Which is not a half plane

Question # 28

The angle a (0° < a< 180°) measured counterclockwise from positive x-axis to a non-horizontal straight line / is called the

Question # 29

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

Question # 30

Sin-1 (-x) =?

Question # 31

Any point where f is neither increasing nor decreasing and f(x) =0 at that point is called a

Question # 32

Sin x + Cos x=1 x=

Question # 33

The equation of the circle with center origin and radius 2√2 is

Question # 34

If the sum of the roots of (a + 1)x2 + (2a + 3)x + (3a + 4) = 0 is -1, then product of the roots is

Question # 35

The difference of two consecutive terms of an A.P is called

Question # 36

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

Question # 37

If f(x) : A → B and g (x) : A → B then Dom [f(x) + g(x)] is

Question # 38

Cot 360° =______.

Question # 39

The multiplicative inverse of x such that x = 0 is

Question # 40

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

Question # 41

d/dx [cos x2] =________

Question # 42

Sec-1 x=

Question # 43

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

Question # 44

There are 30 Red, 20 Green and some Blue bells in a bag if the probability of finding a Red ball is 1/3,how many are red balls in the bag

Question # 45

If f (x) = x/x2- 4 then which is not included in the domain of f(x)

Question # 46

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

Question # 47

The parametric equation of a curve are x = t2, y = tthen

Question # 48

A fraction in which the degree of the numerator is less than the degree of the denominator is called

Question # 49

Tan (π + Tan-1 x) =?

Question # 50

A die is thrown what is the probability that there is a prime number on the top?

Question # 51

The Domain of f(x) = log x is

Question # 52

If θ= 60° then

Question # 53

6 is

Question # 54

∫cot (ax + b) dx =

Question # 55

Cos-1 x =

Question # 56

In general matrices do not satisfy

Question # 57

The area of circle of unit radius=

Question # 58

Partial fraction of 1/x3-1 will be of the form

Question # 59

There are 30 Red balls and 25 Green balls in a bag of a ball is drawn from the bag randomly what is the probability that a Blue ball comes out?

Question # 60

The total cost of 2 apples and 3 oranges is $1.70,which of the following is true

Question # 61

If the order of A is n x m. Then order of kA is

Question # 62

0 (zero) is

Question # 63

The statement that a group can have more than one identity elements is

Question # 64

d/dx ∫x1 dx =________.

Question # 65

If A and B are matrices of same order than (A + B)(A + B)=

Question # 66

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

Question # 67

If y = (ax)m + bm, then dy/dx equals

Question # 68

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 # 69

What is the domain of y = Cot-1 x?

Question # 70

The number of real roots in cube roots of 8 is ?

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NAT-I Mathematics Chapter 1 Important MCQ's

Sr.# Question Answer
1 If f(x) : A → B and g (x) : A → B then Dom [f(x) + g(x)] is
A. Dom f(x) ∩ Dom g (x)
B. Dom f(x) ∪ Dom g(x)
C. [Domf(x)]2 - [Dom g(x)]2
D. [Dom g(x)]2 -[Domf(x)]2
2 120° degrees are equal to how many radians?
A. π/3 radians
B. 2π/3 radians
C. π/4 radians
D. π/2 radians
3 For any set X, X∪X is
A. 15
B. 15i
C. -15i
D. -15
4 An angle of one radian is equivalent to
A. 90o
B. 60o
C. 67o
D. 57o, 18o
5 The length of rectangle is twice as much as its breadth. If the perimeter is 120 cm, the length of the rectangle is
A. Same as the original determinant
B. Additive inverse of the original determinant
C. Both A and B
D. Adj of the original matrix
6 In the figure angle A is =
A. 15
B. 60
C. 90
D. 20
7 Tan (π + Tan-1 x) =?
A. Tan x
B. X
C. -x
D. Cot-1 x
8 Any point where f is neither increasing nor decreasing and f(x) =0 at that point is called a
A. Minimum
B. Maximum
C. Stationary point
D. Constant
9 The multiplicative inverse of x such that x = 0 is
A. -x
B. does not exist
C. 1/x
D. 0
10 Period is Tan x/5 is
A. 5π
B. 4π
C. 2π
D. π/5

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