Free Printable Class 10 EM Relations and Functions

1.

If n(A $\times$ B) = 6 and A = {1, 3} then n(B) is

a)

1

b)

2

c)

3

d)

6

2.

A = {a, b, p}, B = {2, 3}, C = {p, q, r, s} then n[(A $\cup$ C) $\times$ B] is

a)

8

b)

20

c)

12

d)

16

3.

If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true

a)

(A $\times$ C) $\subset$ (B $\times$ D)

b)

(B $\times$ D) $\subset$ (A $\times$ C)

c)

(A $\times$ B) $\subset$ (A $\times$ D)

d)

(D $\times$ A) $\subset$ (B $\times$ A)

4.

If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is

a)

3

b)

2

c)

4

d)

8

5.

The range of the relation R = {(x, x²) | x is a prime number less than 13} is

a)

{2, 3, 5, 7}

b)

{2, 3, 5, 7, 11}

c)

{4, 9, 25, 49, 121}

d)

{1, 4, 9, 25, 49, 121}

6.

If the ordered pairs (a + 2, 4) and (5, 2a + b) are equal then (a, b) is

a)

(2, -2)

b)

(5, 1)

c)

(2, 3)

d)

(3, -2)

7.

Let n(A) = m and n(B) = n, then the total number of non-empty relations that can be defined from A to B is

a)

mⁿ

b)

n^m

c)

2^mn - 1

d)

2^mn

8.

If {(a, 8), (6, b)} represents an identity function, then the value of a and b are respectively

a)

(8, 6)

b)

(8, 8)

c)

(6, 8)

d)

(6, 6)

9.

Let A = {1, 2, 3, 4} and B = {4, 8, 9, 10}. A function f : A $\longrightarrow$ B given by f = {(1, 4), (2, 8), (3, 9), (4, 10)} is a

a)

Many-one function

b)

Identity function

c)

One-to-one function

d)

Into function

10.

If f(x) = 2 $x^2$ and g(x) = $\frac{1}{3x}$ , then f og is

a)

$\frac{3}{2x^2}$

b)

$\frac{2}{3x^2}$

c)

$\frac{2}{9x^2}$

d)

$\frac{1}{6x^2}$

11.

If f : A $\longrightarrow$ B is a bijective function and if n(B) = 7, then n(A) is equal to

a)

7

b)

49

c)

1

d)

14

12.

Let f and g be two functions given by f = {(0, 1), (2, 0), (3, -4), (4, 2), (5, 7)} g = {(0, 2), (1, 0), (2, 4), (-4, 2), (7, 0)} then the range of f o g is

a)

{0, 2, 3, 4, 5}

b)

{-4, 1, 0, 2, 7}

c)

{1, 2, 3, 4, 5}

d)

{0, 1, 2}

13.

Let f(x) = $\sqrt{1+x^2}$ then

a)

f(xy) = f(x).f(y)

b)

f(xy) $\ge$ f(x).f(y)

c)

f(xy) $\le$ f(x).f(y)

d)

None of these

14.

If g = {(1, 1), (2, 3), (3, 5), (4, 7)} is a function given by g(x) = $\alpha x+\beta$ then the values of $\alpha$ and $\beta$ are

a)

(-1, 2)

b)

(2, -1)

c)

(-1, -2)

d)

(1, 2)

15.

f(x) = (x+1)³ - (x-1)³ represents a function which is

a)

linear

b)

cubic

c)

reciprocal

d)

quadratic

Class 10 EM Relations and Functions

Total questions: 15

Worksheet time: 8mins

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