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

Sin x + Cos x=1 x=

Question # 2

A sequence of numbers whose reciprocals forms an arithmetic sequence is called

Question # 3

The circle (x -2)2 + (y + 3)2 =4 is not concentric with the circle

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

If A and B are matrices such that AB=BA=I then

Question # 9

If Z1 = √-36, Z2=√-25, Z3= √-16, then what is the sum of Z1, Z2 and Z3 ?

Question # 10

Domain of Y = csc x is

Question # 11

Sin (2π -θ) =______.

Question # 12

Cos 315° =

Question # 13

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

Question # 14

d/dx ax is

Question # 15

Second derivative of y = x9 + 10x2 + 2x -1 at x = 0 is

Question # 16

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

Question # 17

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

Question # 18

Cse π/3

Question # 19

Tan (π + Tan-1 x) =?

Question # 20

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

Question # 21

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

Question # 22

How many elements are in the sample space of two rolling dies

Question # 23

In general matrices do not satisfy

Question # 24

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

Question # 25

If 1 + Cos x = 0 then x =

Question # 26

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

Question # 27

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

Question # 28

Sin-1 [-1/2] = ______.

Question # 29

r + 3 > 5 then which is true

Question # 30

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

Question # 31

The set { {a,b} } is

Question # 32

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

Question # 33

For any set X, X∪X is

Question # 34

If sinθ = 1 then θ =

Question # 35

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

Question # 36

Sec-1 x=

Question # 37

Ab > 0 and a > 0 then

Question # 38

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 # 39

Cos-1 x =

Question # 40

In which quadrant is the solution of the equation sin x - 1 = 0

Question # 41

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

Question # 42

An angle of one radian is equivalent to

Question # 43

Which of the following is the equation of a line with slope 0 and passing through the point (4,3)

Question # 44

Sin-1 x =?

Question # 45

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

Question # 46

The area of circle of unit radius=

Question # 47

Sin(a + b) + Sin(a- b) =

Question # 48

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

Question # 49

The set of all positive even integers is

Question # 50

Sin-1 (-x) =

Question # 51

What is the conjugate of -7 -2i ?

Question # 52

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 # 53

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 # 54

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

Question # 55

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 # 56

Cos-1 (-x) =_______.

Question # 57

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

Question # 58

What is the period of Cot x?

Question # 59

Sum of integers starting from to n is

Question # 60

The associative angle of 280o is

Question # 61

∫1/ax +b dx =

Question # 62

The set (Z, +) forms a group

Question # 63

If the vector 2i+4j-2k and 2i +6j+xk are perpendicular then x-7

Question # 64

d/dx [cos x2] =________

Question # 65

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

Question # 66

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

Question # 67

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 # 68

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

Question # 69

Domain of Cosecθ is

Question # 70

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

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NAT-I Class Mathematics Chapter 1 Important MCQ's

Sr.# Question Answer
1 What is the conjugate of -7 -2i ?
A. -7 + 2i
B. 7 + 2i
C. 7-2i
D. √53
2 If k1 : k2 = 1:1 then the point P dividing the line is
A. Mid point
B. Extreme left point
C. Extreme Right point
D. Plies out side k1 and k2
3 Cos-1 x =
A. ∏ = sin-1 x
B. ∏ + sin-1 x
C. ∏/2 - sin-1 x
D. ∏/2 +sin-1 x
4 ωn = ?, when n = 3k
A. 0
B. ω
C. 1
D. 1 / ω
5 The line through the center and perpendicular to the transverse axis is called the
A. Major axis
B. Minor axis
C. Focal axis
D. Conjugate axis
6 Sum of integers starting from to n is
A. n(n+1)/4
B. n(n+1)/6
C. n(n+1)/2
D. n(n-1)/2
7 The sum of the series 1+5+9+13+17+21+25+29 is:
A. 10 cm
B. 20 cm
C. 30 cm
D. 40 cm
8 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?
A. 24
B. 120
C. 16
D. 39
9 There are 30 Red balls and 25 Green balls in a bag of a ball is drawn from the bag randomly what is the probability that a Blue ball comes out?
A. 1
B. 0.5
C. 0
D. None
10 Multiplicative inverse of "1" is
A. 4
B. 3
C. 2
D. 1

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