If n(A U B U C) = 100, n(A) = 4x, n(B) = 6x, n(C) = 5x, n(A ∩ B) = 20, n(B ⋂C) = 15, n(A C) = 25 and n(A ⋂ B ⋂ C) = 10 , then the value of x is ________.

(a)

10

(b)

15

(c)

25

(d)

30

In a town 30% like only coffee, 20% like only tea,10% like only like,15% like only any two of them, 5% only like all the three. What is the percentage of people who like none them.

(a)

15%

(b)

20%

(c)

10%

(d)

5%

\(\sqrt{27}\)+\(\sqrt{12}\) = ________.

(a)

\(\sqrt{39}\)

(b)

5\(\sqrt{6}\)

(c)

5\(\sqrt{3}\)

(d)

3\(\sqrt{5}\)

Rationalising the denominator \(\cfrac { 1 }{ \sqrt [ 3 ]{ 3 } } \)  ___________

(a)

3

(b)

\(\cfrac { { 3 }^{ \frac { 2 }{ 3 } } }{ 3 } \)

(c)

\(\sqrt { 3 } \)

(d)

\(\sqrt [ 3 ]{ 3 } \)

If p(a)= 0 then (x-a) is a _____ of p(x).

(a)

divisor

(b)

quotient

(c)

remainder

(d)

factor

Which of the following has a factor?

(a)

x² + 2x

(b)

(x - 1)²

(c)

(x + 1)²

(d)

(x² - 2²)

In the quadrilateral ABCD, AB = BC and AD = DC Measure of ∠BCD is ________.

(a)

150°

(b)

30°

(c)

105°

(d)

72°

The angle subtend by a semicircle at the centre is_________

(a)

60^o

(b)

90°

(c)

120^o

(d)

180^o

On plotting the points O(0, 0), A(3, – 4), B(3, 4) and C(0, 4) and joining OA, AB, BC and CO, which of the following figure is obtained?

(a)

Square

(b)

Rectangle

(c)

Trapezium

(d)

Rhombus

The mean of 5, 9, x, 17, and 21 is 13, then find the value of x _______.

(a)

9

(b)

13

(c)

17

(d)

21

Let be the mid point and b be the upper limit of a class in a continuous frequency distribution. The lower limit of the class is

(a)

2m-b

(b)

2m+b

(c)

m-b

(d)

m-2b

The mean of the first 10 prime number is _______________

(a)

12.6

(b)

12.7

(c)

12.8

(d)

12.9

Given that sin \(\alpha\) = \(\frac { 1 }{ 2 } \) and cos \(\beta\) = \(\frac { 1 }{ 2 } \), then the value of \(\alpha\) + \(\beta\) is ________.

(a)

0⁰

(b)

90⁰

(c)

30⁰

(d)

60⁰

The volume of a cuboid is 660 cm³ and the area of the base is 33 cm². Its height is _______.

(a)

10 cm

(b)

12 cm

(c)

20 cm

(d)

22 cm

The six faces of the dice are called equally likely if the dice is _______.

(a)

Small

(b)

Fair

(c)

Six-faced

(d)

Round