If A = {x, y, z} then the number of non - empty subsets of A is ________.

(a)

8

(b)

5

(c)

6

(d)

7

if \(\frac { 1 }{ 7 } \) = \(0.\overline { 142857 } \) then the value of \(\frac { 5 }{ 7 } \) ________.

(a)

\(0.\overline { 142857 } \)

(b)

\(0.\overline { 714285 } \)

(c)

\(0.\overline { 571428 } \)

(d)

0.714285

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)

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

(a)

divisor

(b)

quotient

(c)

remainder

(d)

factor

(a-b) (a²+ab+b²)=_________

(a)

a² + b³ + c³ - 3abc

(b)

a² - b²

(c)

a³ + b³

(d)

a³ - b³

If one of the factor of x^2-9x+18 is (x-3) then the other factor is_________

(a)

x-9

(b)

x+6

(c)

(x-6)

(d)

x-18

In the given figure CE || DB then the value of x⁰ is  ________.

(a)

45°

(b)

30°

(c)

75°

(d)

85°

If the length of a chord decreases, then its distance from the centre__________

(a)

Increases

(b)

decreases

(c)

same

(d)

cannot say

The distance between the longest chord of a circle and the centre is________

(a)

1

(b)

0

(c)

2

(d)

5

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 point (0, -3) lies on _______________

(a)

+ ve x-axis

(b)

+ ve y-axis

(c)

- ve x-axis

(d)

- ve y-axis

Find the mean of the prime factors of 165.

(a)

5

(b)

11

(c)

13

(d)

55

The mean of the first 10 prime number is _______________

(a)

12.6

(b)

12.7

(c)

12.8

(d)

12.9

The value of \(\frac { sin{ 29 }^{ 0 }31' }{ cos{ 60 }^{ 0 }29' } \) is

(a)

0

(b)

2

(c)

1

(d)

-1

The probability of an event cannot be _______.

(a)

Equal to zero

(b)

Greater than zero

(c)

Equal to one

(d)

Less than zero