If n(A \(\cup \) B \(\cup \) C) = 40, n(A) = 30, n(B) = 25, n(C) = 20, n(A\(\cap \)B) = 12, n(B\(\cap \)C) = 18 and n(A\(\cap \)C) = 15 , then n(A\(\cap \)B\(\cap \)C) is ___________

(a)

5

(b)

10

(c)

15

(d)

20

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

The sum of the polynomials p(x) = x³ – x² – 2, q(x) = x²–3x+ 1 _______.

(a)

x³ – 3x – 1

(b)

x³ + 2x² – 1

(c)

x³ – 2x² – 3x

(d)

x³ – 2x² + 3x –1

The exterior angle of a triangle is equal to the sum of two ________.

(a)

Exterior angles

(b)

Interior opposite angles

(c)

Alternate angles

(d)

Interior angles

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 coordinates of the point C dividing the line segment joining the points P(2, 4) and Q(5, 7) internally in the ratio 2:1 is______.

(a)

\((\frac{7}{2},\frac{11}{2})\)

(b)

(3, 5)

(c)

(4, 4)

(d)

(4, 6)

The algebraic sum of the deviations of a set of n values from their mean is _______.

(a)

0

(b)

n-1

(c)

n

(d)

n+1

If 2 sin 2\(\theta\) = \(\sqrt { 3 } \) , them the value of \(\theta\) is ________.

(a)

90⁰

(b)

30⁰

(c)

45⁰

(d)

60⁰

The perimeter of an equilateral triangle is 30 cm. The area is _______.

(a)

\(10\sqrt { 3 } \) cm²

(b)

\(12\sqrt { 3 } \) cm²

(c)

\(15\sqrt { 3 } \) cm²

(d)

\(25\sqrt { 3 } \) cm ²

Probability lies between _______.

(a)

−1 and +1

(b)

0 and 1

(c)

0 and n

(d)

0 and \(\infty \)