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

If 4 - x > 5, then

Question # 2

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

Question # 3

Sin x + Cos x=1 x=

Question # 4

∫sec (ax + b) tan(ax + b) dx=_______

Question # 5

The curves y =x2, y= x interest at

Question # 6

Derivative of strictly increasing function is always

Question # 7

√23 is

Question # 8

Tan-1 1/x =______

Question # 9

If A and B are two events then P(A∪B) =? (when A and B are disjoint)

Question # 10

∫cot (ax + b) dx =

Question # 11

Which is a proper rational fraction

Question # 12

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

Question # 13

If Cosθ =0, Then θ=

Question # 14

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

Question # 15

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

Question # 16

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 # 17

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

Question # 18

Multiplicative inverse of "1" is

Question # 19

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

Question # 20

d/dx ∫x1 dx =________.

Question # 21

If A = [aij] and b = [bij] are the matrices of the order 3x3 then A-B=

Question # 22

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

Question # 23

Partial fraction of 1/x3-1 will be of the form

Question # 24

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

Question # 25

Area of ΔABC=

Question # 26

Which of the following is the subset of all sets ?

Question # 27

Sin-1 √3/2 =?

Question # 28

Tan (π + Tan-1 x) =?

Question # 29

Cot 360° =______.

Question # 30

d/dx (√x) =

Question # 31

If Sin-1 x + cos-1 y = π, then x and y are

Question # 32

If Z= (1,2). tjem Z-1 = ?

Question # 33

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 # 34

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

Question # 35

If |A| ≠ 0 then A is called

Question # 36

r + 3 > 5 then which is true

Question # 37

Sin 720° = ________

Question # 38

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

Question # 39

The magnitude of a vector can never be

Question # 40

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

Question # 41

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

Question # 42

Domain of Cosecθ is

Question # 43

120° degrees are equal to how many radians?

Question # 44

If Z1 = 1+i, Z2 = 2+3i, then |Z2-Z1|=?

Question # 45

0 (zero) is

Question # 46

What is the domain of y= Sin-1 x?

Question # 47

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

Question # 48

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

Question # 49

The two consecutive positive integers whose product is 56 are

Question # 50

The axis of the parabola y2 = 4ax is

Question # 51

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

Question # 52

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

Question # 53

An m x n matrix is said to be rectangular if

Question # 54

Ab > 0 and a > 0 then

Question # 55

The direction cosines of y-axis are

Question # 56

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 # 57

The associative angle of 280o is

Question # 58

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

Question # 59

Which is not a half plane

Question # 60

Complex roots of real quadratic equation occur in

Question # 61

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

Question # 62

π/3 is

Question # 63

Period of Sin 2x =

Question # 64

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

Question # 65

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

Question # 66

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

Question # 67

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 # 68

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

Question # 69

6 is

Question # 70

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

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NAT-I Mathematics Chapter 1 Important MCQ's

Sr.# Question Answer
1 The principal value of sin-1 [√3/2] is
A. π/3
B. -π/3
C. 2π/3
D. 5π/3
2 Unit vector in the positive direction of x-axis is
A. î
B. ĵ
C. k̂
D. All
3 The conic is a parabola if
A. e <1
B. e > 1
C. e = 1
D. e = 0
4 Which is an explicit function
A. y = x2 +2x -1
B. x2 +xy +y2 =2
C. xy2 -y +9/xy =1
D. All are
5 Sin-1 (-x) =?
A. Sin-1 x
B. -Sin-1 x
C. Cos-1 x
D. -Cos-1 x
6 An m x n matrix is said to be rectangular if
A. Forms a group w.r.t. addition
B. Non commutative group w.r.t. multiplication
C. Forms a group w.r.t. multiplication
D. Doesn't form a group
7 If i,m,n are the direction cosines of a vector O̅P̅ then
A. I2 + m2 + n2 =0
B. I2 - m2 + n2 =1
C. I2 + m2 + n2 =1
D. I2 + m2 - n2 =0
8 In general matrices do not satisfy
A. Not a group
B. A group w.r.t. subtraction
C. A group w.r.t. division
D. A group w.r.t. multiplication
9 The set of complex numbers forms a group under the binary operation of
A. 0
B. ±1
C. 1
D. {0,1}
10 An angle of one radian is equivalent to
A. 90o
B. 60o
C. 67o
D. 57o, 18o

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