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

The set of (A U B) - (A ก B) is ____________

(a)

(AUB)'

(b)

AΔB

(c)

(A∩B)'

(d)

A'UB'

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

Which of the following are irrational numbers?
\(\sqrt { 2+\sqrt { 3 } } \)
\(\sqrt [ 3 ]{ 5+\sqrt { 7 } } \)
\(\sqrt { 8-\sqrt [ 3 ]{ 8 } } \)
\(\sqrt { 4+\sqrt { 25 } } \)

(a)

(ii), (iii) and (iv)

(b)

(i), (ii) and (iv)

(c)

(i), (ii) and (iii)

(d)

(i), (iii) and (iv)

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

The sum of \({ 5x }^{ 2 };-7x^{ 2 };8x^{ 2 };11x^{ 2 }\ and\ -9x^{ 2 }\) is ___________ 

(a)

\(2{ x }^{ 2 }\)

(b)

\(4{ x }^{ 2 }\)

(c)

\(6{ x }^{ 2 }\)

(d)

\(8{ x }^{ 2 }\)

If all the four sides of a parallelogram are equal and the adjacent angles are of 120° and 60°, then the name of the quadrilateral is ______

(a)

rectangle

(b)

square

(c)

rhombus

(d)

kite

PQ and RS are two equal chords of a circle with centre O such that ㄥPOQ = 70°, then ㄥORS = ________.

(a)

60°

(b)

70°

(c)

55°

(d)

80°

If ( x+2, 4) = (5, y–2), then the coordinates (x,y) are _____.

(a)

(7, 12)

(b)

(6, 3)

(c)

(3, 6)

(d)

(2, 1)

A point which lies in the III quadrant is__________________

(a)

(5, 4)

(b)

(5, - 4)

(c)

(-5, - 4)

(d)

(-5,4)

The mean of the first 10 prime numbers is ___________

(a)

12.6

(b)

12.7

(c)

12.8

(d)

12.9

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

If the mean of five observations x, x+2, x+4, x+6, x+8, is 11, then the mean of first three observations is __________

(a)

9

(b)

11

(c)

13

(d)

15

The value of \(\frac { 1-{ tan }^{ 2 }{ 45 }^{ 0 } }{ 1+{ tan }^{ 2 }{ 45 }^{ 0 } } \) is ________.

(a)

2

(b)

1

(c)

0

(d)

\(\frac { 1 }{ 2 } \)

The number of bricks each measuring 50 cm × 30 cm × 20 cm that will be required to build a wall whose dimensions are 5 m × 3 m × 2 m is _______.

(a)

1000

(b)

2000

(c)

3000

(d)

5000