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

The range of inequality x + 2 > 4 is

Question # 2

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

Question # 3

d/dx (√x) =

Question # 4

Which of the following is the solution of Cot2x = 1/√3

Question # 5

The angle a (0° < a< 180°) measured counterclockwise from positive x-axis to a non-horizontal straight line / is called the

Question # 6

A point of a solution region where two of its boundary lines intersect is called

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

Sin 720° = ________

Question # 11

If y = (ax)m + bm, then dy/dx equals

Question # 12

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 # 13

The value of x, and y, when (x+iy)2=5+4i

Question # 14

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

Question # 15

What is the period of Cot x?

Question # 16

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

Question # 17

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

Question # 18

Period is Tan x/5 is

Question # 19

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

Question # 20

If Cosα = 3/5, Cosβ = 5/13, then

Question # 21

Domain of Cosecθ is

Question # 22

The curves y =x2, y= x interest at

Question # 23

In general matrices do not satisfy

Question # 24

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

Question # 25

Every prime number is also

Question # 26

For any set X, X∪X is

Question # 27

If x2 +y2 = 4, Then dy/dx =

Question # 28

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

Question # 29

The conic is a parabola if

Question # 30

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

Question # 31

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 # 32

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

Question # 33

If f(x) = x3- 2x2 +4x-1, then f(-2) =?

Question # 34

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

Question # 35

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

Question # 36

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

Question # 37

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

Question # 38

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

Question # 39

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

Question # 40

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

Question # 41

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

Question # 42

Sin-1 √3/2 =?

Question # 43

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

Question # 44

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

Question # 45

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 # 46

The multiplicative inverse of x such that x = 0 is

Question # 47

8 > t then

Question # 48

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

Question # 49

An m x n matrix is said to be rectangular if

Question # 50

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

Question # 51

Cos-1 (-x) =_______.

Question # 52

6 is

Question # 53

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

Question # 54

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

Question # 55

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

Question # 56

The set of all positive even integers is

Question # 57

Sec-1 x=

Question # 58

If Sin θ =Cosθ then θ=

Question # 59

120° degrees are equal to how many radians?

Question # 60

The end points of the major axis of the ellipse are called its

Question # 61

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 # 62

The set (Q, .)

Question # 63

If θ= 60° then

Question # 64

0 (zero) is

Question # 65

F(x) = xx decreases in the interval

Question # 66

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

Question # 67

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

Question # 68

The set { {a,b} } is

Question # 69

Cot 360° =______.

Question # 70

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

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NAT-I Class Mathematics Chapter 1 Important MCQ's

Sr.# Question Answer
1 Graph of the equation X2 + y2 = 4 is
A. a circle
B. an ellipse
C. a parabola
D. A square
2 P(x) = 2x4 -3x3 +2x-1 is polynomial of degree
A. 1
B. 2
C. 3
D. 4
3 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
4 The value of x, and y, when (x+iy)2=5+4i
A. X=2, y=-1
B. X=-2, y=1
C. X=2, y=-i
D. X=2, y=2
5 The degree of the polynomial 2x4 + 3x2 + 16x + 28 = x4 + 2x2 is
A. [aij - bji]
B. [aij - bij]
C. [aij - bij]
D. [aij] - [bij]
6 In which quadrant is the solution of the equation sin x - 1 = 0
A. II quadrants
B. II and III quadrants
C. III and Iv quadrants
D. I quadrant
7 The average of first 100 integers is=
A. 50 1/2
B. 25 1/4
C. 100
D. 5050
8 A function F(x) is called even if
A. F(x) = F(-x)
B. F(x) = F(-x)
C. F(x) = -F(x)
D. 2F(x) = 0
9 If θ= 60° then
A. sin θ = 1/2
B. tan θ = cot 30°
C. θ = π/4
D. Sec θ =4
10 If the angle between two vectors with magnitude 8 and 2 is 60° then their scalar product is
A. 12
B. 8
C. 16
D. 1

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