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

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 # 2

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

Question # 3

What is the period of Cot x?

Question # 4

Sin-1 (-x) =?

Question # 5

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

Question # 6

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 # 7

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

Question # 8

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

Question # 9

ωn = ?, when n = 3k

Question # 10

∫cot (ax + b) dx =

Question # 11

The vertices of the ellipse x2 + 4y2 = 16 are

Question # 12

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

Question # 13

Every prime number is also

Question # 14

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 # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

The conic is a parabola if

Question # 25

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

Question # 26

In the figure PS is perpendicular to QR, if PQ = PR 26 and P8 = 24,then QR=

Question # 27

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

Question # 28

Unit vector in the positive direction of x-axis is

Question # 29

∫1/ax +b dx =

Question # 30

AreCot √3 =?

Question # 31

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

Question # 32

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

Question # 33

r + 3 > 5 then which is true

Question # 34

Sum of integers starting from to n is

Question # 35

Sin-1 (√2/2)=?

Question # 36

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 # 37

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 # 38

F(x) = xx decreases in the interval

Question # 39

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

Question # 40

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

Question # 41

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

Question # 42

Complex roots of real quadratic equation occur in

Question # 43

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

Question # 44

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

Question # 45

Let A, B, and C be any sets such that A∪B=A∪C and A∩B=A∩C then

Question # 46

If |A| ≠ 0 then A is called

Question # 47

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

Question # 48

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?

Question # 49

120° degrees are equal to how many radians?

Question # 50

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

Question # 51

1+2+3+......+n=?

Question # 52

If Cosα = 3/5, Cosβ = 5/13, then

Question # 53

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

Question # 54

The axis of the parabola y2 = 4ax is

Question # 55

The multiplicative inverse of x such that x = 0 is

Question # 56

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

Question # 57

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

Question # 58

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

Question # 59

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

Question # 60

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

Question # 61

The perpendicular bisector of any chord of a circle

Question # 62

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

Question # 63

Which is an explicit function

Question # 64

An angle of one radian is equivalent to

Question # 65

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

Question # 66

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

Question # 67

If sinθ = 1 then θ =

Question # 68

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

Question # 69

d/dx [cos x2] =________

Question # 70

The set of all positive even integers is

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NAT-I Mathematics Chapter 1 Important MCQ's

Sr.# Question Answer
1 If P(E) is the probability that can event will occur then P(E)=
A. 1
B. 0.5
C. 2
D. 0
2 Period of Sin 2x =
A. π
B. 4π
C. 2nπ
D. 2π
3 If -1 < x < 0, which of the following statement must be true?
A. x < x2 < x2
B. x < x3 < x2
C. x2 < x3 < x
D. x< x < x3
4 The fifth term of the sequence an = 3n - 2 is
A. 3
B. -3
C. 13
D. -13
5 P(x) = 2x4 -3x3 +2x-1 is polynomial of degree
A. 1
B. 2
C. 3
D. 4
6 The general solution of the differential equation dy/dx = log x is
A. Y = -x log x- x +c
B. Y = x log x + x2
C. Y = x log x -x +c
D. Y= 2x log x + 2x +c
7 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
8 d/dx ax is
A. xax-1
B. ax
C. x in a
D. ax in a
9 Sin x + Cos x=1 x=
A. π
B. π/2
C. π/3
D. π/4
10 If x lies in {0, 2π} and Cosec x = 2 then x =
A. π/ 6 and 5π/6
B. π +2nπ
C. nπ
D. 2π/3 and π/3

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