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 and b are any two distinct negative real numbers and G-ab where A.G.H represent arithmetic geometric and harmonic means then

Question # 2

x-1/(x+2)(x-2) =

Question # 3

The direction cosines of y-axis are

Question # 4

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

Question # 5

Unit vector in the positive direction of x-axis is

Question # 6

If y = (ax)m + bm, then dy/dx equals

Question # 7

Complex roots of real quadratic equation occur in

Question # 8

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

Question # 9

Tan-1 1/x =______

Question # 10

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

Question # 11

Which of the following is not defined?

Question # 12

Derivative of strictly increasing function is always

Question # 13

Sin 720° = ________

Question # 14

Domain of Cosecθ is

Question # 15

Cos-1 x =

Question # 16

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

Question # 17

Sec-1 x=

Question # 18

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

Question # 19

A die is thrown what is the probability that there is a prime number on the top?

Question # 20

The equation of the circle with center origin and radius 2√2 is

Question # 21

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

Question # 22

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

Question # 23

∫cot (ax + b) dx =

Question # 24

If α and β be irrational roots of a quadratic equation, then

Question # 25

Sin x + Cos x=1 x=

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

The range of inequality x + 2 > 4 is

Question # 30

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

Question # 31

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

Question # 32

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

Question # 33

r + 3 > 5 then which is true

Question # 34

The area of circle of unit radius=

Question # 35

Cse π/3

Question # 36

6 is

Question # 37

The multiplicative inverse of x such that x = 0 is

Question # 38

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

Question # 39

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

Question # 40

The associative angle of 280o is

Question # 41

Every prime number is also

Question # 42

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

Question # 43

If the sum of the roots of (a + 1)x2 + (2a + 3)x + (3a + 4) = 0 is -1, then product of the roots is

Question # 44

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

Question # 45

Two matrices A and B are conformable for multiplication (AB) if and only if

Question # 46

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

Question # 47

ω88 = ?

Question # 48

If a cone is cut by a plane perpendicular to the axis of the cone then the section is a

Question # 49

The set of complex numbers forms a group under the binary operation of

Question # 50

Multiplicative inverse of "1" is

Question # 51

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

Question # 52

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

Question # 53

3/2 is

Question # 54

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

Question # 55

(x+2)2 = x2 +4x +4 is

Question # 56

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

Question # 57

P(x) = 2x4 -3x3 +2x-1 is polynomial of degree

Question # 58

The set (Z, +) forms a group

Question # 59

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

Question # 60

The set (Q, .)

Question # 61

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

Question # 62

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

Question # 63

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

Question # 64

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

Question # 65

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

Question # 66

Cot 360° =______.

Question # 67

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

Question # 68

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

Question # 69

Period of Sin 2x =

Question # 70

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

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NAT-I Class Mathematics Chapter 1 Important MCQ's

Sr.# Question Answer
1 The gradient of the line joining (1,4) and (-2,5) is
A. 3/8
B. -2 2/3
C. -1/3
D. 2
2 If θ= 60° then
A. sin θ = 1/2
B. tan θ = cot 30°
C. θ = π/4
D. Sec θ =4
3 The circle (x -2)2 + (y + 3)2 =4 is not concentric with the circle
A. (x -2)2 + (y + 3)2 =9
B. (x +2)2 + (y - 3)2 =4
C. (x -2)2 + (y + 3)2 =8
D. (x -2)2 + (y + 3)2 =5
4 In the triangle Δ ABC, where C is the right angle Tan A + Tan B=
A. A +B
B. C2 /AB
C. A2/BC
D. B2/AC
5 If y = (ax)m + bm, then dy/dx equals
A. m (ax)m xm-1
B. mam xm-1
C. m am xm-1
D. m am xm-2
6 Which of the following is solution of Tan2 x = 1/3
A. 7π/6
B. 5π/6
C. π/6
D. All
7 Tan (π + Tan-1 x) =?
A. Tan x
B. X
C. -x
D. Cot-1 x
8 The number of ways in which 5 distinct toys can be distributed among 3 children is
A. 35
B. 53
C. C53
D. P53
9 For which of the following ordered pairs (s,t) is s + t> and s- t < -3?
A. (3,2)
B. (2,3)
C. (1,8)
D. (0,3)
10 x-1/(x+2)(x-2) =
A. 4/3(x-4) -1/3(x-1)
B. 3/4(x+2) + 1/4(x-2)
C. 2/3(x-2) - 4/3(x+2)
D. 3/x - 2/x+1

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