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

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

Question # 2

Sin-1 (-x) =

Question # 3

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

Question # 4

The two consecutive positive integers whose product is 56 are

Question # 5

The direction cosines of y-axis are

Question # 6

If Cnr, Pnr = 24:1 then r = ?

Question # 7

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

Question # 8

An m x n matrix is said to be rectangular if

Question # 9

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

Question # 10

Sin x + Cos x=1 x=

Question # 11

For any set X, X∪X is

Question # 12

If Sin θ =Cosθ then θ=

Question # 13

8 > t then

Question # 14

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

Question # 15

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 # 16

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

Question # 17

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 # 18

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

Question # 19

What is the period of Cot x?

Question # 20

d/dx (√x) =

Question # 21

What is the domain of y= Sin-1 x?

Question # 22

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

Question # 23

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

Question # 24

The multiplicative inverse of x such that x = 0 is

Question # 25

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

Question # 26

If Cosα = 3/5, Cosβ = 5/13, then

Question # 27

Sin-1 (-x) =?

Question # 28

Sin-1 √3/2 =?

Question # 29

If |A| ≠ 0 then A is called

Question # 30

If sin θ= 3/5 Cos θ=

Question # 31

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

Question # 32

Tan-1 1/x =______

Question # 33

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 # 34

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

Question # 35

Cos-1 x =

Question # 36

Ab > 0 and a > 0 then

Question # 37

If k1 : k2 = 1:1 then the point P dividing the line is

Question # 38

If Cosθ =0, Then θ=

Question # 39

Sin 720° = ________

Question # 40

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

Question # 41

The curves y =x2, y= x interest at

Question # 42

If a line passes through origin then the equation of the line is

Question # 43

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

Question # 44

∫1/ax +b dx =

Question # 45

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

Question # 46

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

Question # 47

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

Question # 48

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

Question # 49

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

Question # 50

Sin-1 x =?

Question # 51

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

Question # 52

The set of all positive even integers is

Question # 53

How many different arrangements of the letters in the word QABABA are Possible?

Question # 54

Cos-1 (-x) =_______.

Question # 55

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

Question # 56

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

Question # 57

The sum of the ages of Nazish and his son is 56 years. Eight years ago. Nazish was 3 time as old as his son. How old is the son now?

Question # 58

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

Question # 59

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

Question # 60

The equation of two polynomials P(x)/Q(x) where Q(x) ≠ 0 with no common factor is called

Question # 61

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

Question # 62

If y = (ax)m + bm, then dy/dx equals

Question # 63

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

Question # 64

AreCot √3 =?

Question # 65

Cse π/3

Question # 66

d/dx ax is

Question # 67

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

Question # 68

The conic is a parabola if

Question # 69

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

Question # 70

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=

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Sr.# Question Answer
1 If Z1 = √-36, Z2=√-25, Z3= √-16, then what is the sum of Z1, Z2 and Z3 ?
A. √3 I
B. √7
C. -2-1
D. √5
2 Area of ΔABC=
A. ab sin α
B. 1/2 ab sin α
C. 1/2 ac Sin γ
D. 1/2 ac Sin β
3 Graph of the equation X2 + y2 = 4 is
A. a circle
B. an ellipse
C. a parabola
D. A square
4 One of the roots of the equation 2x2 + 3x + n = 0 is the reciprocal of the other, then n = --------------------
A. Both A,B have the same number of columns
B. Both A,B do not have the same order
C. Number of col A is same as number of rows of B
D. Number of rows of A is same as number of col of B
5 If x < y, 2x = A and 2y = B then
A. A =B
B. A < B
C. A< X
D. B < y
6 x2 +2x -25 = 0 is
A. 1
B. 2
C. 3
D. 4
7 The perpendicular bisector of any chord of a circle
A. Passes through the center of the circle
B. Does not pass through the center of the circle
C. May or may not pass through the center of the circle
D. None of these
8 Sin 720° = ________
A. 1
B. 0
C. 2
D. 1/2
9 The average of first 100 integers is=
A. 50 1/2
B. 25 1/4
C. 100
D. 5050
10 Partial fraction of 1/x3-1 will be of the form
A. Conjugate pair
B. ordered pair
C. reciprocal pair
D. quadratic function

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