Question # 1

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

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1

12

5

29

If the 4th term in the expansion of (px + x^-1)^mis 2.5 for all x∈ R, then

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A number H is said to be the H.M. between a and b if a, H, b are in

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A.P.

G. P.

H. P.

None of these

A quadratic equation has two

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roots

degree

variables

constants

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-2

-1

1

2

The constant distance of all points of the circle from its centre is called the

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radius of the circle

secant of the circle

chord of the circle

diameter of the circle

A vector of magnitude zero is called

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Position vector

Null vector

Free vector

None of these

Two unbiased dice are thrown. The probability that the total score is > 5 is

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1 / 18

7 / 18

13 / 18

11 / 18

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In set builder notation the set {0, 1, 2, ............, 100} can be written as

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Range of 3 cot x is ______

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[-1, 1]

[-3, 3]

R

None of these

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If f(x) = x²then f(-2) is

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-2

2

4

-4

If A is a skew-symmetric matrix of order n and P, any square matrix of order n.prove that P' AP is

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Skew-symmetric

Symmetric

Null

Diagonal

The5thand 13th terms of an A.P are 5 and-3 respectively The first term of the A.P is

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1

-15

9

2

f (x) = | x | is a/an

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Injective function

Bijective function

Surjective function

Implicit function

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1,1/3,1/5,1/7,1/9..... is a

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geometric sequence

finite sequence

infinite sequence

arithmetic series

If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is

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5

Equal to the moment of the force about origin

0

Cannot be found

Distance between A(3, 8), B(5, 6) is

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{1, 2, 3, 4,.....} is set of ______

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Natural numbers

Whole numbers

Integers

Rational numbers

The roots of the equation ax²+ bx + c = 0 are complex/imaginary if

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

Which of the following sets in infinite

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The set of students of your class

The set of all schools in Pakistan

The set of natural numbers between 3 and 10

The set of rational numbers between 3 and 10

The parabola y2 + 2y + x = 0 lie in _____ quadrant.

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First

Second

Third

Fourth

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A

-A

A^t

A^-

The square matrix A is skew-symmetric when At=

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-B

-C

-A

-D

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If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is

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0

±1

±5

±7

Matrix multiplication is

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Commutative

Not commutative

Not associative

Not distributive

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