GAT Subject Mathematics Mathematics Online Test Preparation for Pakistani Students

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MCQ's Test For GAT Subject Mathematics Mathematics

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  • Total Questions70

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GAT Subject Mathematics Mathematics

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Question # 1

The multiplicative inverse of x such that x = 0 is

Question # 2

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

Question # 3

Cos 315° =

Question # 4

If 4 - x > 5, then

Question # 5

d/dx [cos x2] =________

Question # 6

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 # 7

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

Question # 8

Sin-1 √3/2 =?

Question # 9

The area of circle of unit radius=

Question # 10

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

Question # 11

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 # 12

The axis of the parabola y2 = 4ax is

Question # 13

120° degrees are equal to how many radians?

Question # 14

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

Question # 15

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

Question # 16

The degree of the polynomial 2x4 + 3x2 + 16x + 28 = x4 + 2x2 is

Question # 17

2/(x+1)(x-1) = A/x+1 + B/x-1 corresponds to

Question # 18

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

Question # 19

If y = (ax)m + bm, then dy/dx equals

Question # 20

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

Question # 21

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

Question # 22

Sin (2π -θ) =______.

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

If Cosθ =0, Then θ=

Question # 28

The set (Q, .)

Question # 29

d/dx (3y4) =

Question # 30

The vertices of the ellipse x2 + 4y2 = 16 are

Question # 31

What is the period of Cot x?

Question # 32

The principal value of sin-1 [√3/2] is

Question # 33

Which is a proper rational fraction

Question # 34

1/x2 -1 = ? (in case of making partial fraction)

Question # 35

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

Question # 36

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

Question # 37

0 (zero) is

Question # 38

In general matrices do not satisfy

Question # 39

The equation of the normal to the circle x2 + 22 = 25 at (4,3) is

Question # 40

If Z= (1,2). tjem Z-1 = ?

Question # 41

AreCot √3 =?

Question # 42

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 # 43

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

Question # 44

Sec-1 x=

Question # 45

Domain of Y = csc x is

Question # 46

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

Question # 47

Sin 720° = ________

Question # 48

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

Question # 49

The Domain of f(x) = log x is

Question # 50

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

Question # 51

If i,m,n are the direction cosines of a vector O̅P̅ then

Question # 52

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

Question # 53

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

Question # 54

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

Question # 55

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

Question # 56

Period is Tan x/5 is

Question # 57

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

Question # 58

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=

Question # 59

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

Question # 60

6 is

Question # 61

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

Question # 62

∫cot (ax + b) dx =

Question # 63

If A = [aij] and b = [bij] are the matrices of the order 3x3 then A-B=

Question # 64

The line joining (1,3) to (a,b) has unit gradient then

Question # 65

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

Question # 66

ω88 = ?

Question # 67

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

Question # 68

1+2+3+......+n=?

Question # 69

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

Question # 70

Tan-1 1/x =______

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