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

Question # 2

π/3 is

Question # 3

Unit vector in the positive direction of x-axis is

Question # 4

If y = (ax)m + bm, then dy/dx equals

Question # 5

Domain of Cosecθ is

Question # 6

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

Question # 7

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

Question # 8

If 2 Sin x Cos 2 x = Sin x then?

Question # 9

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

Question # 10

Graph of the equation X2 + y2 = 4 is

Question # 11

The associative angle of 280o is

Question # 12

The set of all positive even integers is

Question # 13

The graph of a quadratic function is

Question # 14

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

Question # 15

What is the period of Cot x?

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

What is the domain of y= Sin-1 x?

Question # 22

If 1 + Cos x = 0 then x =

Question # 23

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

Question # 24

Sin-1 (-x) =

Question # 25

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

Question # 26

∫1/ax +b dx =

Question # 27

F(x) = xx decreases in the interval

Question # 28

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

Question # 29

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

Question # 30

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 # 31

The two consecutive positive integers whose product is 56 are

Question # 32

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

Question # 33

Ab > 0 and a > 0 then

Question # 34

The average of first 100 integers is=

Question # 35

The multiplicative inverse of x such that x = 0 is

Question # 36

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 # 37

The curves y =x2, y= x interest at

Question # 38

An m x n matrix is said to be rectangular if

Question # 39

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 # 40

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

Question # 41

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 # 42

If Cosθ =0, Then θ=

Question # 43

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

Question # 44

Period is Tan x/5 is

Question # 45

120° degrees are equal to how many radians?

Question # 46

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

Question # 47

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

Question # 48

AreCot √3 =?

Question # 49

ωn = ?, when n = 3k

Question # 50

If Sin θ =Cosθ then θ=

Question # 51

If 4 - x > 5, then

Question # 52

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 # 53

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

Question # 54

d/dx ax is

Question # 55

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

Question # 56

Which is an explicit function

Question # 57

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

Question # 58

Area of ΔABC=

Question # 59

d/dx (3y4) =

Question # 60

Sum of integers starting from to n is

Question # 61

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

Question # 62

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

Question # 63

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

Question # 64

The number of real roots in cube roots of 8 is ?

Question # 65

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

Question # 66

In the triangle Δ ABC, where C is the right angle Tan A + Tan B=

Question # 67

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

Question # 68

The set (Z, +) forms a group

Question # 69

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

Question # 70

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

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Sr.# Question Answer
1 If A = [aij] and b = [bij] are the matrices of the order 3x3 then A-B=
A. Circle
B. Ellipse
C. Parabola
D. Hexagon
2 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
3 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
4 Sin-1 √3/2 =?
A. 2π/3
B. π/2
C. π/3
D. v/5
5 Sin-1 (-x) =?
A. Sin-1 x
B. -Sin-1 x
C. Cos-1 x
D. -Cos-1 x
6 In the function v = 4/3 π r3, V is a function of
A. 3/4
B. r
C. v
D. π
7 If f(x) = x3- 2x2 +4x-1, then f(-2) =?
A. 0
B. -25
C. 5
D. 45
8 How many elements are in the sample space of two rolling dies
A. 6
B. 12
C. 18
D. 36
9 If A and B are two events then P(A∪B) =? (when A and B are disjoint)
A. P(A) - P(B)
B. P(A) x P(B)
C. P(A) + P(B)
D. P(A) + P(B) -P(A∩B)
10 A sequence of numbers whose reciprocals forms an arithmetic sequence is called
A. Harmonic series
B. Arithmetic series
C. Harmonic sequence
D. Geometric sequence

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