The set P = {x | x ∈ Z , –1 < x < 1} is a –––––––––.

(a)

Singleton set

(b)

Power set

(c)

Null set

(d)

Subset

If B ⊆ A then n(A∩B) is –––––––––.

(a)

n(A – B)

(b)

n(B)

(c)

n(B – A)

(d)

n(A)

If X = {x : x = 4(n – 1), n ∈ N} and Y = {y : y = 3n – 2n – 1, n ∈ N}, then X∪Y is ______________

(a)

W

(b)

X

(c)

Y

(d)

N

In a class of 50 boys, 35 boys play Carrom and 20 boys play Chess then the number of boys play both games is________.

(a)

5

(b)

30

(c)

15

(d)

10

If J = Set of three sided shapes, K = Set of shapes with two equal sides and L = Set of shapes with right angle, then J ∩ K ⋂ L is ________.

(a)

Set of isoceles triangles

(b)

Set of equilateral triangles

(c)

Set of isoceles right triangles

(d)

Set of right angled triangles

The shaded region in the Venn diagram is ________.

(a)

Z-(XUY)

(b)

(XUY)⋂Z

(c)

Z-(X⋂Y)

(d)

ZU(X∩Y)

Which one of the following, regarding sum of two irrational numbers, is true?

(a)

always an irrational number

(b)

may be a rational or irrational number

(c)

always a rational number

(d)

always an integer.

Which one of the following has a terminating decimal expansion?

(a)

\(\frac { 5 }{ 64 } \)

(b)

\(\frac { 8 }{ 9 } \)

(c)

\(\frac { 14 }{ 15 } \)

(d)

\(\frac { 1 }{ 12 } \)

Which one of the following is an irrational number.

(a)

\(\sqrt { 25 } \)

(b)

\(\sqrt { \frac { 9 }{ 4 } } \)

(c)

\(\frac { 7 }{ 11 } \)

(d)

\(\pi\)

The smallest rational number by which \(\frac { 1 }{ 3 } \)  should be multiplied so that its decimal expansion terminates after one place of decimal is   ________.

(a)

\(\frac { 1 }{ 10 } \)

(b)

\(\frac { 3 }{ 10 } \)

(c)

3

(d)

30

Find the odd one out of the following.

(a)

\(\sqrt { 32 } \times \sqrt { 2 } \)

(b)

\(\frac { \sqrt { 27 } }{ \sqrt { 3 } } \)

(c)

\(\sqrt { 72 } \times \sqrt { 8 } \)

(d)

\(\frac { \sqrt { 54 } }{ \sqrt { 18 } } \)

When (2\(\sqrt{5}\)-\(\sqrt{2}\))² is simplified, we get ________.

(a)

4\(\sqrt{5}\)+2\(\sqrt{2}\)

(b)

22-4\(\sqrt{10}\)

(c)

8-4\(\sqrt{10}\)

(d)

2\(\sqrt{10}\)-2

The Auto fare is found as minimum Rs. 25 for 3 kilometer and thereafter Rs. 12 for per kilometer. Which of the following equations represents the relationship between the total cost ‘c’ in rupees and the number of kilometers n?

(a)

c = 25 + n

(b)

c = 25 + 12n

(c)

c = 25 + (n–3)12

(d)

c = (n–3)12

Degree of the polynomial (y³–2)(y³ + 1) is _______.

(a)

9

(b)

2

(c)

3

(d)

6

If (x + 5) and (x - 3) are the factors of ax²+bx+c, then values of a, b and c are _______.

(a)

1, 2, 3

(b)

1, 2,15

(c)

1, 2, −15

(d)

1, −2,15

Cubic polynomial may have maximum of ________ linear factors.

(a)

1

(b)

2

(c)

3

(d)

4

If \(\frac { { a }_{ 1 } }{ { a }_{ 2 } } \neq \frac { { b }_{ 1 } }{ { b }_{ 2 } } \) where a₁x + b₁y + c₁ = 0 and a₂x + b₂ y + c₂ = 0 then the given pair of linear equation has _______ solution(s)

(a)

no solution

(b)

two solutions

(c)

unique

(d)

infinite

The correct statement out of the following is ________.

(a)

ΔABC ≅ ΔDEF

(b)

ΔABC ≅ ΔDEF

(c)

ΔABC ≅ ΔFDE

(d)

ΔABC ≅ ΔFED

The interior angle made by the side in a parallelogram is 90° then the parallelogram is a ________.

(a)

rhombus

(b)

rectangle

(c)

trapezium

(d)

kite

If one angle of a cyclic quadrilateral is 75° , then the opposite angle is ________.

(a)

100°

(b)

105°

(c)

85°

(d)

90°

In the given figure, If OP = 17cm PQ = 30, cm and OS is perpendicular to PQ, then RS is ________.

(a)

10 cm

(b)

6 cm

(c)

7 cm

(d)

9 cm

The points (–5, 2) and (2, –5) lie in the ________.

(a)

same quadrant

(b)

II and III quadrant respectively

(c)

II and IV quadrant respectively

(d)

IV and II quadrant respectively

The mean of a, b, c, d and e is 28. If the mean of a, c and e is 24, then mean of b and d is _______.

(a)

24

(b)

36

(c)

26

(d)

34

The area of a triangle whose sides are a, b and c is ________

(a)

\(\sqrt { \left( s-a \right) \left( s-b \right) \left( s-c \right) } \)sq. units

(b)

\(\sqrt { s\left( s-a \right) \left( s-b \right) \left( s-c \right) } \)sq. units

(c)

\(\sqrt { s\left( s\times a \right) \left( s\times b \right) \left( s\times c \right) } \)sq. units

(d)

\(\sqrt { s\left( s-a \right) \left( s-b \right) \left( s-c \right) } \) sq. units

A number between 0 and 1 that is used to measure uncertainty is called _______.

(a)

Random variable

(b)

Trial

(c)

Simple event

(d)

Probability