Free Printable Relation and function

1.

Let R be the relation in the set N given by R = {(a,b); a = b – 2 , b > 6} Is the relation reflexive?

a)

yes

b)

no

2.

The smallest equivalence relation R on set A = {1,2,3} is

a)

{(1,1) ,(2,2),(3,3)}

b)

{(1,1) ,(2,2),(3,3),(1,2),(2,1)}

c)

{(1,1) ,(2,2),(3,3), (2,1)}

d)

none of these

3.

Let R be the relation in the set of natural numbers N defined as

R = {(x,y) ϵ N x N : 3x +y =11}. Then R^-1 is given by

a)

{(0,11),(1,8), (2,5),(3,2)}

b)

{(1,8),(2,5),(3,2)}

c)

{(11,0),(8,1),(5,2),(2,3)}

d)

{(8,1),(5,2),(2,3)}

4.

Let R be a relation on the set L of lines defined by l₁ R l₂ if l₁is perpendicular to l₂, then relation R is

a)

reflexive and symmetric

b)

symmetric and transitive

c)

equivalence relation

d)

symmetric

5.

Let A = {a,b} . Then number of one-one function from A to A possible are

a)

1

b)

2

c)

3

d)

4

6.

Given Set A={1,2,3} and a relation R ={(1,2), (2,1)} , the relation R will be

a)

reflexive if (1,1) is added

b)

symmetric if (2,3) is added

c)

transitive if (1,1),(2,2) is added

d)

symmetric if (3,2) is added

7.

Let the function be defined by f(x) = 5x² + 2 for all x ϵ R. Then f is

a)

onto function

b)

one-one, onto function

c)

one-one, into function

d)

many –one , into function

8.

Number of onto function from the set {1,2,3,5} to itself is

a)

4

b)

14

c)

24

d)

none of these

9.

If f : A → B is a bijective function such that n (A) = 5, then

n (B) is

a)

5

b)

120

c)

2

d)

none of these

10.

a)

Function

b)

Not a Function

11.

What is an equivalence relation ?

a)

A relation which is reflaxive as well as symmetric

b)

A relation which is symmetric as well as transitive

c)

A relation which is transitive only

d)

Which is reflaxive, symmetric as well as transitive

12.

What is one-one function ?

a)

In which every pre image has more then one image

b)

In which every pre image have unique image

c)

In which Range and Co-domain of the function are equal

d)

In which every pre image belongs to only one image

13.

One-one function is also called injective ?

a)

True

b)

False

14.

Inverse of a given function exists if

a)

Given function is Bijective

b)

Given function is Surjective

c)

Given function is Injective

d)

gof and fog are equal to identity function

15.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

16.

Which graph is a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

17.

Which graph is NOT a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

18.

Suppose a ♠ b = 3a + 2b. Find 3 ♠ 2

a)

12

b)

13

c)

5

d)

6

19.

If $p\Phi q$ denotes $2a^b$ then $2\Phi3=$

a)

12

b)

16

c)

32

d)

64

20.

If $a\ \cdot\ b$ denotes $\frac{ab}{a\ +\ b}$ then $2\ \cdot\ 6\ =$

a)

$\frac{13}{4}$

b)

$\frac{3}{2}$

c)

$\frac{2}{3}$

d)

$\frac{1}{3}$

21.

If m * n denotes m + 5n. Evaluate 3 * (1 * 2).

a)

26

b)

58

c)

32

d)

11

22.

If a ® b means 2a - 3b, what is 3 ® 4

a)

-6

b)

6

c)

1

d)

-1

23.

An operation is defined by a @ b = $\sqrt{5a-3b}$ . State the value of 4 @ 2.

a)

$\sqrt{14}$

b)

$\sqrt{2}$

c)

$\sqrt{4a-2b}$

d)

$\sqrt{-2}$

Relation and function

Total questions: 23

Worksheet time: 14mins

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