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

Question # 2

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

Question # 3

The Domain of f(x) = log x is

Question # 4

If the 9th tern of A.P is 8 and the 4th term is 20. then the first term is

Question # 5

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

Question # 6

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

Question # 7

A standard deck of 52 cards shuffled what is the probability of choosing the queen of the diamonds

Question # 8

The cube roots of unity ω = -------------------------

Question # 9

8 > t then

Question # 10

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

Question # 11

Which is not a half plane

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

Sin-1 (-x) =?

Question # 16

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

Question # 17

Which is a proper rational fraction

Question # 18

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

Question # 19

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

Question # 20

Cos-1 (-x) =_______.

Question # 21

The conic is a parabola if

Question # 22

120° degrees are equal to how many radians?

Question # 23

Which of the following is not defined?

Question # 24

For any set X, X∪X is

Question # 25

π/3 is

Question # 26

The set {1, -1, i, -i}, form a group under

Question # 27

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

Question # 28

Graph of the equation X2 + y2 = 4 is

Question # 29

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 # 30

The perpendicular bisector of any chord of a circle

Question # 31

Sin-1 (√2/2)=?

Question # 32

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

Question # 33

0 (zero) is

Question # 34

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

Question # 35

If |A| ≠ 0 then A is called

Question # 36

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

Question # 37

The point (-5,3) is the center of a circle and P(7,-2) lies on the circle the radius of the circle is

Question # 38

Sin (2π -θ) =______.

Question # 39

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

Question # 40

d/dx (√x) =

Question # 41

If p and r are integers P = 0, and p ≠ -r, which of the following must be true?

Question # 42

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

Question # 43

Corola available in 5 models 8 colours and 3 sizes how many Corola must a local dealer have no hand in order to have one of each kind avialable?

Question # 44

Domain of Y = csc x is

Question # 45

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

Question # 46

The area of circle of unit radius=

Question # 47

If sin θ= 3/5 Cos θ=

Question # 48

AreCot √3 =?

Question # 49

Every prime number is also

Question # 50

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

Question # 51

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

Question # 52

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

Question # 53

The number of ways in which we can courier 5 packets to 10 cities is

Question # 54

Cse π/3

Question # 55

Ab > 0 and a > 0 then

Question # 56

The number of ways in which 5 distinct toys can be distributed among 3 children is

Question # 57

An m x n matrix is said to be rectangular if

Question # 58

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

Question # 59

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

Question # 60

The sum of the series 1+5+9+13+17+21+25+29 is:

Question # 61

Second derivative of y = x9 + 10x2 + 2x -1 at x = 0 is

Question # 62

The associative angle of 280o is

Question # 63

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 # 64

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

Question # 65

Multiplicative inverse of "1" is

Question # 66

Which of the following is the subset of all sets ?

Question # 67

The sum of the interior angles for a 16 sided polygon is

Question # 68

If 4 - x > 5, then

Question # 69

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

Question # 70

√23 is

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