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

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

Question # 2

ω88 = ?

Question # 3

Which of the following is the subset of all sets ?

Question # 4

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

Question # 5

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

Question # 6

Multiplicative inverse of "1" is

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

The set { {a,b} } is

Question # 11

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

Question # 12

Ab > 0 and a > 0 then

Question # 13

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

Question # 14

d/dx ∫x1 dx =________.

Question # 15

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

Question # 16

If Sin θ =Cosθ then θ=

Question # 17

Derivative of strictly increasing function is always

Question # 18

In the function v = 4/3 π r3, V is a function of

Question # 19

Cos 315° =

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

If the diagonal of a square has coordinates (1,2) and(5,6) the length of a side is

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

Question # 28

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 # 29

The set {1, -1, i, -i}, form a group under

Question # 30

d/dx [cos x2] =________

Question # 31

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

Question # 32

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

Question # 33

The common difference of the sequence 7,4,1......is

Question # 34

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

Question # 35

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

Question # 36

A function F(x) is called even if

Question # 37

If 4 - x > 5, then

Question # 38

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

Question # 39

x2 +2x -25 = 0 is

Question # 40

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

Question # 41

8 > t then

Question # 42

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

Question # 43

The graph of a quadratic function is

Question # 44

Cot 360° =______.

Question # 45

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

Question # 46

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

Question # 47

The Domain of f(x) = log x is

Question # 48

The two consecutive positive integers whose product is 56 are

Question # 49

The cube roots of unity ω = -------------------------

Question # 50

6 is

Question # 51

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 # 52

Find the geometric mean between 4 and 16

Question # 53

The direction cosines of y-axis are

Question # 54

Sin-1 (√2/2)=?

Question # 55

Sin-1 (-x) =

Question # 56

The area of circle of unit radius=

Question # 57

The perpendicular bisector of any chord of a circle

Question # 58

The curves y =x2, y= x interest at

Question # 59

∫cot (ax + b) dx =

Question # 60

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

Question # 61

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

Question # 62

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

Question # 63

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 # 64

An m x n matrix is said to be rectangular if

Question # 65

Which is a proper rational fraction

Question # 66

In 30,60,90 triangle if the smallest side is 6 than the side opposite to the angle of 60o is

Question # 67

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

Question # 68

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

Question # 69

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

Question # 70

The sum of the interior angles for a 16 sided polygon is

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NAT-I Class Mathematics Chapter 1 Important MCQ's

Sr.# Question Answer
1 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
2 If α and β be irrational roots of a quadratic equation, then
A. α = b/a and β = ca
B. α = a/b and β = -c/a
C. α2 + β2 = 1
D. α = -b/a and β= c/a
3 Which is an explicit function
A. y = x2 +2x -1
B. x2 +xy +y2 =2
C. xy2 -y +9/xy =1
D. All are
4 d/dx (3y4) =
A. 12y3 dy/dx
B. 8y3
C. 8y3 dy/dx
D. 12y3
5 The statement that a group can have more than one identity elements is
A. True
B. False
C. Fallacious
D. Some times true
6 If y = sin(ax + b) then fourth derivative of y with respect to x=
A. a4 cos (ax + b)
B. a4 sin (ax + b)
C. -a4 sin(ax +b)
D. a4 tan (ax + b)
7 Domain of Y = csc x is
A. R - nπ, n ε I
B. R
C. R -nπ/2,nεI
D. All negative Integers
8 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
9 ∫sec (ax + b) tan(ax + b) dx=_______
A. sec(ax + b)/a
B. sec2 (ax + b)/2
C. sec(ax + b)/x
D. 1/2
10 The radius of the circle (x- 1)2 + (y + 3)2 =64 is
A. 8
B. 2√2
C. 4
D. 64

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