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

If A,B,C are non-overlapping sets, then n \(\left( A\cap B\cap C \right) \) is ___________

(a)

n(A) + n(B) + n(C)

(b)

\(n\left( A\cup B\cup C \right) \)

(c)

0

(d)

\(n\left( A\cap B \right) \)

The value of \(\bar { 0.03 } \) +\(\bar { 0.03 } \)  is ___________.

(a)

\(\bar { 0.09 } \)

(b)

\(\bar { 0.09 } \)

(c)

\(\bar { 0.09 } \)

(d)

0

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

(a)

\(\sqrt{39}\)

(b)

5\(\sqrt{6}\)

(c)

5\(\sqrt{3}\)

(d)

3\(\sqrt{5}\)

Let the polynomials be
(A) –13q⁵ + 4q² + 12q
(B) (x² +4 )(x² + 9)
(C) 4q⁸ – q⁶ + 2
(D) -\(\frac {5}{7}\)y¹²+y³+y⁵
Then ascending order of their degree is _______.

(a)

A,B,D,C

(b)

A,B,C,D

(c)

B,C,D,A

(d)

B,A,C,D

Which of the following has a factor?

(a)

x² + 2x

(b)

(x - 1)²

(c)

(x + 1)²

(d)

(x² - 2²)

Orthocentre of a triangle is the point of concurrency of _______

(a)

medians

(b)

altitudes

(c)

angle bisectors

(d)

perpendicular bisectors of side

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 the points A (2, 0), B (-6, 0), C (3, a-3) lie on the x-axis then the value of a is _____.

(a)

0

(b)

2

(c)

3

(d)

-6

The centre of a circle is (0, 0). One end point of a diameter is (5, -1), then ______________

(a)

\(\sqrt{24}\)

(b)

\(\sqrt{37}\)

(c)

\(\sqrt{26}\)

(d)

\(\sqrt{17}\)

The mean of the square of first 11 natural numbers is _______.

(a)

26

(b)

46

(c)

48

(d)

52

The mean of set of numbers is \(\bar{x}\) If each number is multiplied by z, the mean is

(a)

\(\bar{X}+z\)

(b)

\(\bar{X}-z\)

(c)

\(z\bar{X}\)

(d)

\(\bar{X}\)

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 capacity of a water tank of dimensions 10 m × 5 m × 1.5 m is _______.

(a)

75 litres

(b)

750 litres

(c)

7500 litres

(d)

75000 litres

A collection of one or more outcomes of an experiment is called _______.

(a)

Event

(b)

Outcome

(c)

Sample point

(d)

None of the above