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

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

Question # 2

Domain of Y = csc x is

Question # 3

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

Question # 4

6 is

Question # 5

r + 3 > 5 then which is true

Question # 6

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

Question # 7

x2 +2x -25 = 0 is

Question # 8

If -1 < x < 0, which of the following statement must be true?

Question # 9

Graph of the equation X2 + y2 = 4 is

Question # 10

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

Question # 11

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

Question # 12

Which of the following is the subset of all sets ?

Question # 13

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

Question # 14

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

Question # 15

Area of ΔABC=

Question # 16

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 # 17

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

Question # 18

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 # 19

If a cone is cut by a plane perpendicular to the axis of the cone then the section is a

Question # 20

If sinθ = 1 then θ =

Question # 21

Sin-1 x =?

Question # 22

If y = sin(ax + b) then fourth derivative of y with respect to x=

Question # 23

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 # 24

F(x) = xx decreases in the interval

Question # 25

ω88 = ?

Question # 26

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

Question # 27

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

Question # 28

A relation in which the equality is true only for some values of the unknown variable is called

Question # 29

For which of the following ordered pairs (s,t) is s + t> and s- t < -3?

Question # 30

If the diagonal of a square has coordinates (1,2) and(5,6) the length of a side is

Question # 31

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

Question # 32

What is the conjugate of -7 -2i ?

Question # 33

8 > t then

Question # 34

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 # 35

The perpendicular bisector of any chord of a circle

Question # 36

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

Question # 37

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

Question # 38

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

Question # 39

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

Question # 40

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 # 41

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

Question # 42

In general matrices do not satisfy

Question # 43

AreCot √3 =?

Question # 44

Sin-1 (-x) =?

Question # 45

Sec-1 x=

Question # 46

√23 is

Question # 47

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

Question # 48

An angle 0 is such that tan θ = 1 and cos θ is negative then

Question # 49

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

Question # 50

Which is a proper rational fraction

Question # 51

The line through the center and perpendicular to the transverse axis is called the

Question # 52

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

Question # 53

If 4 - x > 5, then

Question # 54

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

Question # 55

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

Question # 56

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 # 57

0 (zero) is

Question # 58

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

Question # 59

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

Question # 60

d/dx (3y4) =

Question # 61

What is the period of Cot x?

Question # 62

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

Question # 63

d/dx ax is

Question # 64

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

Question # 65

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

Question # 66

Which is an explicit function

Question # 67

The Domain of f(x) = log x is

Question # 68

The axis of the parabola y2 = 4ax is

Question # 69

ωn = ?, when n = 3k

Question # 70

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

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