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

Question # 2

The range of inequality x + 2 > 4 is

Question # 3

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 # 4

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

Question # 5

Domain of Y = csc x is

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

Multiplicative inverse of "1" is

Question # 11

If sin θ= 3/5 Cos θ=

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

In the figure angle A is =

Question # 16

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

Question # 17

The average of first 100 integers is=

Question # 18

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 # 19

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

Question # 20

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

Question # 21

Graph of the equation X2 + y2 = 4 is

Question # 22

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

Question # 23

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 # 24

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

Question # 25

If P(E) is the probability that can event will occur then P(E)=

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

Sin-1 (-x) =

Question # 30

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

Question # 31

The area of circle of unit radius=

Question # 32

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

Question # 33

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

Question # 34

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

Question # 35

What is the period of Cot x?

Question # 36

If 4 - x > 5, then

Question # 37

If p and r are integers P = 0, and p ≠ -r, which of the following must be true?

Question # 38

An angle of one radian is equivalent to

Question # 39

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

Question # 40

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 # 41

The multiplicative inverse of x such that x = 0 is

Question # 42

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

Question # 43

120° degrees are equal to how many radians?

Question # 44

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

Question # 45

The direction cosines of y-axis are

Question # 46

Period of Sin 2x =

Question # 47

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 # 48

The set { {a,b} } is

Question # 49

If |A| ≠ 0 then A is called

Question # 50

Period is Tan x/5 is

Question # 51

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

Question # 52

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 # 53

Sin 720° = ________

Question # 54

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

Question # 55

Sin-1 √3/2 =?

Question # 56

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

Question # 57

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

Question # 58

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

Question # 59

For any set X, X∪X is

Question # 60

Cos-1 x =

Question # 61

∫sec (ax + b) tan(ax + b) dx=_______

Question # 62

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

Question # 63

F(x) = xx decreases in the interval

Question # 64

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 # 65

Which is not a half plane

Question # 66

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

Question # 67

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

Question # 68

ωn = ?, when n = 3k

Question # 69

√23 is

Question # 70

The set (Z, +) forms a group

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NAT-I Mathematics Chapter 1 Important MCQ's

Sr.# Question Answer
1 If sin θ= 3/5 Cos θ=
A. 1/2
B. 3/5
C. 4/5
D. 1
2 If Cosα = 3/5, Cosβ = 5/13, then
A. Cos(α +β) =33/65
B. Sin(α +β) =56/65
C. sin2(α +β/2) =1/65
D. Cos(α +β) =63/65
3 The mid point of the line joining (=1,-3) to(3,-5) is
A. (1, 1)
B. (1,-1)
C. (2, -8)
D. (1, -4)
4 The set of complex numbers forms a group under the binary operation of
A. 0
B. ±1
C. 1
D. {0,1}
5 The set of the first elements of the ordered pairs forming a relation is called its
A. -x
B. does not exist
C. 1/x
D. 0
6 The radius of the circle (x- 1)2 + (y + 3)2 =64 is
A. 8
B. 2√2
C. 4
D. 64
7 The conic is a parabola if
A. e <1
B. e > 1
C. e = 1
D. e = 0
8 What is the domain of y= Sin-1 x?
A. -1 ≤ x ≤1
B. 1 ≤ x ≤ 1
C. 0 ≤ x ≤ π
D. -π/2 ≤ x ≤ π/2
9 The equation of the line with gradient 1 passing through the point (h,k) is
A. Y = x+ k-h
B. Y = k/hx +1
C. Y = x + h -l
D. Ky = hx =1
10 Which is a proper rational fraction
A. 3x - 7/x2 +4
B. 2x2 - 5/x2 + 4
C. 3x4/2x2 - 15
D. All are proper rational fraction

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