GAT Subject Mathematics MCQ's Test

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GAT Subject Mathematics MCQ's Test

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GAT Subject Mathematics MCQ's Test

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Question # 1

If Sin θ =Cosθ then θ=

Question # 2

Derivative of strictly increasing function is always

Question # 3

The magnitude of a vector can never be

Question # 4

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

Question # 5

Find the geometric mean between 4 and 16

Question # 6

An angle of one radian is equivalent to

Question # 7

If in isosceles right angled triangle one side is a then hypotenuse is

Question # 8

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

Question # 9

If P(E) is the probability that can event will occur then P(E)=

Question # 10

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

Question # 11

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

Question # 12

∫1/ax +b dx =

Question # 13

∫cot (ax + b) dx =

Question # 14

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

Question # 15

√23 is

Question # 16

ω88 = ?

Question # 17

x2 +2x -25 = 0 is

Question # 18

The gradient of the line joining (1,4) and (-2,5) is

Question # 19

Sin-1 (-x) =

Question # 20

If Z1 = 1+i, Z2 = 2+3i, then |Z2-Z1|=?

Question # 21

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

Question # 22

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

Question # 23

One of the roots of the equation 2x2 + 3x + n = 0 is the reciprocal of the other, then n = --------------------

Question # 24

Sin-1 √3/2 =?

Question # 25

If 0 is not an integral multiple of π/2 then Cot4 θ+ Cot2 θ=?

Question # 26

0 (zero) is

Question # 27

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

Question # 28

The perpendicular bisector of any chord of a circle

Question # 29

The two different parts of the hyperbola are called is

Question # 30

Two matrices A and B are conformable for multiplication (AB) if and only if

Question # 31

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

Question # 32

If |A| ≠ 0 then A is called

Question # 33

The set of the first elements of the ordered pairs forming a relation is called its

Question # 34

The graph of a quadratic function is

Question # 35

Tan-1 1/x =______

Question # 36

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

Question # 37

Complex roots of real quadratic equation occur in

Question # 38

r + 3 > 5 then which is true

Question # 39

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

Question # 40

Let A, B, and C be any sets such that A∪B=A∪C and A∩B=A∩C then

Question # 41

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

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

What is the period of Cot x?

Question # 44

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

Question # 45

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 # 46

Sin-1 (√2/2)=?

Question # 47

∫sec (ax + b) tan(ax + b) dx=_______

Question # 48

The set of complex numbers forms a group under the binary operation of

Question # 49

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

Question # 50

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

Question # 51

Which is not included in the domain of Cos-1 x

Question # 52

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

Question # 53

Period is Tan x/5 is

Question # 54

Sin-1 x =?

Question # 55

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

Question # 56

If any two rows (or any two columns) of a square matrix are inter changed, the determinant of the resultant matrix is

Question # 57

If the vector 2i+4j-2k and 2i +6j+xk are perpendicular then x-7

Question # 58

If θ= 60° then

Question # 59

Which of the following is solution of Tan2 x = 1/3

Question # 60

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

Question # 61

Sec-1 x=

Question # 62

Cse π/3

Question # 63

Which of the following is the subset of all sets ?

Question # 64

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

Question # 65

Every prime number is also

Question # 66

Graph of the equation X2 + y2 = 4 is

Question # 67

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

Question # 68

Domain of Y = csc x is

Question # 69

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 # 70

If 2 Sin x Cos 2 x = Sin x then?

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