GAT Subject Mathematics MCQ'S Test Preparation for Pakistani Students

MCQ's Test For GAT Subject Mathematics MCQ's Test

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  • Total Questions70

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GAT Subject Mathematics MCQ's Test

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Question # 1

F(x) = xx decreases in the interval

Question # 2

8 > t then

Question # 3

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

Question # 4

Sin x + Cos x=1 x=

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

The equation of the normal to the circle x2 + 22 = 25 at (4,3) is

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

d/dx ax is

Question # 16

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

Question # 17

If k1 : k2 = 1:1 then the point P dividing the line is

Question # 18

The axis of the parabola y2 = 4ax is

Question # 19

If Sin θ =Cosθ then θ=

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

If |A| ≠ 0 then A is called

Question # 24

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

Question # 25

Sin-1 (√2/2)=?

Question # 26

0 (zero) is

Question # 27

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

Question # 28

The graph of a quadratic function is

Question # 29

Complex roots of real quadratic equation occur in

Question # 30

The Domain of f(x) = log x is

Question # 31

∫sec (ax + b) tan(ax + b) dx=_______

Question # 32

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

Question # 33

The set { {a,b} } is

Question # 34

d/dx [cos x2] =________

Question # 35

If Cosθ =0, Then θ=

Question # 36

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

Question # 37

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 # 38

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

Question # 39

Area of ΔABC=

Question # 40

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

Question # 41

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 # 42

Multiplicative inverse of "1" is

Question # 43

Graph of the equation X2 + y2 = 4 is

Question # 44

The range of inequality x + 2 > 4 is

Question # 45

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

Question # 46

If y = (ax)m + bm, then dy/dx equals

Question # 47

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 # 48

Domain of Cosecθ is

Question # 49

What is the domain of y= Sin-1 x?

Question # 50

If sin θ= 3/5 Cos θ=

Question # 51

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

Question # 52

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

Question # 53

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

Question # 54

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

Question # 55

The direction cosines of y-axis are

Question # 56

3/2 is

Question # 57

ω88 = ?

Question # 58

If Cosα = 3/5, Cosβ = 5/13, then

Question # 59

Which is not included in the domain of Cos-1 x

Question # 60

The perpendicular bisector of any chord of a circle

Question # 61

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

Question # 62

Sum of integers starting from to n is

Question # 63

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

Question # 64

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

Question # 65

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

Question # 66

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

Question # 67

Find the geometric mean between 4 and 16

Question # 68

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

Question # 69

If 4 - x > 5, then

Question # 70

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

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NAT-I Mathematics Chapter 1 Important MCQ's

Sr.# Question Answer
1 If the diagonal of a square has coordinates (1,2) and(5,6) the length of a side is
A. 3
B. 4
C. 1
D. 5
2 If A = [aij] and b = [bij] are the matrices of the order 3x3 then A-B=
A. Circle
B. Ellipse
C. Parabola
D. Hexagon
3 The set {1, -1, i, -i}, form a group under
A. addition
B. multiplication
C. subtraction
D. None
4 The two different parts of the hyperbola are called is
A. Vertices
B. Directrices
C. Nappes
D. Branches
5 F(x) = xx decreases in the interval
A. (0,e)
B. (0.1)
C. (-∞.0)
D. None
6 Which is in the solution set of 4x - 3y <2
A. (3,0)
B. (4,1)
C. (1,3)
D. None
7 Second derivative of y = x9 + 10x2 + 2x -1 at x = 0 is
A. 10
B. 20
C. 12
D. 1
8 A fraction in which the degree of the numerator is less than the degree of the denominator is called
A. 1-i √-3 / 2
B. -1+i √-3 / 2i
C. -1+i √3 / 2
D. 1+i √3 / 2
9 An angle 0 is such that tan θ = 1 and cos θ is negative then
A. Sin θ is positive
B. Cos θ = √2/4
C. cosθ = -1
D. sec θ is negative
10 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
A. 120
B. 20
C. 40
D. 90

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