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 associative angle of 280o is

Question # 2

An m x n matrix is said to be rectangular if

Question # 3

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

Question # 4

If -1 < x < 0, which of the following statement must be true?

Question # 5

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

Question # 6

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

Question # 7

If the order of A is n x m. Then order of kA is

Question # 8

What is the conjugate of -7 -2i ?

Question # 9

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

Question # 10

√23 is

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

6 is

Question # 15

An angle of one radian is equivalent to

Question # 16

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

Question # 17

The parametric equation of a curve are x = t2, y = tthen

Question # 18

In general matrices do not satisfy

Question # 19

r + 3 > 5 then which is true

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

Tan (π + Tan-1 x) =?

Question # 24

The set (Z, +) forms a group

Question # 25

If Sin θ =Cosθ then θ=

Question # 26

3/2 is

Question # 27

The two different parts of the hyperbola are called is

Question # 28

Domain of Cosecθ is

Question # 29

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

Question # 30

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 # 31

The complement of set A relative to universal set U is the set

Question # 32

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

Question # 33

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

Question # 34

Two natural numbers whose sum is 25 and difference is 5, are

Question # 35

The magnitude of a vector can never be

Question # 36

If |A| ≠ 0 then A is called

Question # 37

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

Question # 38

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 # 39

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?

Question # 40

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

Question # 41

The sum of the series 1+5+9+13+17+21+25+29 is:

Question # 42

The range of inequality x + 2 > 4 is

Question # 43

What is the domain of y= Sin-1 x?

Question # 44

Sin-1 √3/2 =?

Question # 45

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

Question # 46

Which of the following is not defined?

Question # 47

Sin-1 (-x) =

Question # 48

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

Question # 49

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 # 50

Which is a proper rational fraction

Question # 51

Ab > 0 and a > 0 then

Question # 52

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

Question # 53

d/dx ∫x1 dx =________.

Question # 54

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

Question # 55

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 # 56

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

Question # 57

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

Question # 58

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

Question # 59

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

Question # 60

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

Question # 61

0 (zero) is

Question # 62

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

Question # 63

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 # 64

The number of diagonals of a six sided figure are

Question # 65

The perpendicular bisector of any chord of a circle

Question # 66

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

Question # 67

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

Question # 68

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

Question # 69

If y = (ax)m + bm, then dy/dx equals

Question # 70

If f1 (x) and f2  (x) are any two anti derivatives of a function F (x) then the value of f1 (x) = f2 (x)

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NAT-I Class Mathematics Chapter 1 Important MCQ's

Sr.# Question Answer
1 The complement of set A relative to universal set U is the set
A. X
B. X
C. φ
D. Universal set
2 The number of real roots in cube roots of 8 is ?
A. n x m
B. m x n
C. km x n
D. m x kn
3 The equation of two polynomials P(x)/Q(x) where Q(x) ≠ 0 with no common factor is called
A. 12
B. 1
C. 10
D. -10
4 If Cnr, Pnr = 24:1 then r = ?
A. 1
B. 2
C. 3
D. 4
5 The curves y =x2, y= x interest at
A. (0,0) ,(1,1)
B. (2,4)
C. (0,),(2,4)
D. (0,3),(-1,1)
6 π/3 is
A. A positive integer
B. A negative integer
C. A natural number
D. An irrational number
7 Domain of Cosecθ is
A. is R but θ= nπ
B. is R but θ ≠ nπ
C. is R but θ ≠ 2nπ
D. is R but θ ≠ nπ/2
8 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
9 The degree of the polynomial 2x4 + 3x2 + 16x + 28 = x4 + 2x2 is
A. [aij - bji]
B. [aij - bij]
C. [aij - bij]
D. [aij] - [bij]
10 If θ= 60° then
A. sin θ = 1/2
B. tan θ = cot 30°
C. θ = π/4
D. Sec θ =4

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