EduSahara™ Worksheet

Question 1

1.

If A =
{15,18,8,7,30}
and B =
{10,5,6}
,

(i)

{(15,5),(18,6),(30,5),(30,6),(11,29)}
(ii)

{(15,5),(30,10),(30,5),(30,6),(6,18)}
(iii)

{(15,5),(18,6),(30,5),(30,6)}
(iv)

{(15,5),(18,6),(30,10),(30,5),(30,6)}
(v)

{(15,5),(18,6),(30,10),(30,5),(30,6),(6,18)}

Question 2

2.

Find the domain of the given relation.

(i)

{1,7,4}
(ii)

{9,2,10,1}
(iii)

{9,2,10}
(iv)

{3,5,2,10,9,1}
(v)

{3,5,2,10,9}

Question 3

3.

(i)

II
(ii)

III
(iii)

I
(iv)

IV

Question 4

4.

Which of the following relations is a function given ,

A =
{1,4,8,7,5,2}
and B =
{6,10,2,3,1}
?

(i)

{(1,6),(4,3),(7,1),(5,1),(2,1),(6,8)}
(ii)

{(1,6),(4,3),(8,6),(7,1),(5,1),(2,1),(6,8)}
(iii)

{(1,6),(4,3),(8,6),(5,1),(2,1),(2,6)}
(iv)

{(1,6),(4,3),(8,6),(7,1),(5,1),(2,1)}
(v)

{(1,6),(4,3),(8,6),(5,1),(2,1)}

Question 5

5.

Which of the following does not represent a function
f

:

A

→

B
,

where A =
{6,9,5,7,2,1}
and B =
{10,8,4,3}
?

(i)

{(5,4),(2,4),(6,10),(1,10),(9,8),(7,4)}
(ii)

{(7,10),(2,4),(5,8),(1,3),(9,3),(6,8)}
(iii)

{(7,10),(5,10),(1,8),(6,4),(2,3)}
(iv)

{(9,8),(2,8),(7,8),(6,8),(5,4),(1,3)}
(v)

{(2,8),(5,8),(1,10),(7,3),(6,10),(9,4)}

Question 6

6.

Find the domain and range of the given relation

R

:

A

→

B
=
{(1,6),(1,5),(10,6),(10,5)}

(i)

A = {-8,7} , B ={-5,5}
(ii)

A = {1,11} , B ={5,12}
(iii)

A = {10,9,3} , B ={5,1,9}
(iv)

A = {1,10} , B = {6,5}
(v)

A = {10,6} , B ={6,10}

Question 7

7.

Find the domain in the given roster form,

where R =
{(7,3),(5,2),(10,2),(10,4),(10,8)}

(i)

{1,2,3,8,4}
(ii)

{7,9,10,5,6}
(iii)

{7,5,10}
(iv)

{7,5,10,4}
(v)

{7,9,10,5,6,1}

Question 8

8.

Find the cardinality of the given roster form,

where R =
{(6,4),(10,1),(8,2),(6,1),(9,1),(10,5),(8,9),(9,9),(6,9)}

(i)

6
(ii)

12
(iii)

9
(iv)

8
(v)

10

Question 9

9.

Which of the following statements are true if
f

:

A

→

B
and
a ∈ A
,
b ∈ B
?

a)

f

(

b

)

=

a

b)

f

(

a

)
is called the image of
a
under
f

c)

f

(

a

)

=

b

d)

f

(

b

)
is called the image of
b
under
f

(i)

{a,c,b}
(ii)

{a,d,b}
(iii)

{a,b}
(iv)

{d,c}
(v)

{b,c}

Question 10

10.

If A =
{i,a,s}
and B =
{k,p,c}
,

which of the following is relation
R

:

A

→

B
?

(i)

{(b,s),(b,a),(n,a),(n,i),(o,s)}
(ii)

{(s,k),(i,p),(a,c),(i,c),(i,k)}
(iii)

{(c,i),(c,s),(c,a),(p,a),(k,i)}
(iv)

{(p,r),(k,d),(p,b),(k,b),(p,m)}
(v)

{(a,n),(s,o),(i,n),(a,d),(a,o)}

Question 11

11.

If
f

(

x

)

=

(

6

x

+

8

)
, then find
f

(

3

)

(i)

25
(ii)

27
(iii)

24
(iv)

28
(v)

26

Question 12

12.

Which of the following does not represent a function
f

:

A

→

B
,

where A =
{5,1,10,2}
and B =
{6,4,8,7}
?

(i)

I
(ii)

IV
(iii)

II
(iv)

III

Question 13

13.

and domain of
f
is
{x : -2 ≤ x ≤ 2}

(i)

{-19,-10,-1,8,19}
(ii)

{-19,-10,-1,17,6}
(iii)

{-19,-10,-1,8,17}
(iv)

{-19,-1,8,17,-9}
(v)

{-19,-10,8,17,-2}

Question 14

14.

Which of the following relations
R

:

A

→

B
represent a function,

given A =
{3,10}
and B =
{5,6}
?

(i)

II
(ii)

III
(iii)

I
(iv)

IV

Question 15

15.

If A =
{7,10,9,4}
and B =
{8,3,5}
,

(i)

{(7,8),(4,5),(8,4)}
(ii)

{(7,8),(4,8),(4,5)}
(iii)

{(7,8),(4,8),(6,3)}
(iv)

{(7,8),(4,5)}
(v)

{(7,8),(4,8),(4,5),(8,4)}

Question 16

16.

If A =
{7,6,4,5}
and B =
{3,24,9,28,10,15,12,2}
,

(i)

{(7,28),(6,24),(4,24),(4,28),(4,12),(5,10),(5,15),(12,6)}
(ii)

{(7,28),(6,24),(6,12),(4,24),(4,12),(5,10),(5,15)}
(iii)

{(7,28),(6,24),(6,12),(4,28),(4,12),(5,10),(5,15),(25,3)}
(iv)

{(7,28),(6,24),(6,12),(4,24),(4,28),(4,12),(5,10),(5,15)}
(v)

{(7,28),(6,24),(6,12),(4,24),(4,28),(4,12),(5,10),(5,15),(12,6)}

Question 17

17.

If A =
{j,q,m,i,h}
and B =
{o,n,r,k,s}
,

which of the following is relation
R

:

B

→

A
?

(i)

{(s,g),(k,d),(s,d),(r,l),(r,d)}
(ii)

{(q,n),(j,r),(h,r),(i,s),(q,r)}
(iii)

{(e,q),(l,m),(g,q),(d,j),(g,i)}
(iv)

{(q,e),(m,g),(m,d),(j,g),(h,g)}
(v)

{(n,q),(o,m),(k,h),(n,i),(n,j)}

Question 18

18.

Write the relation
R

:

A

→

B
in the given diagram,

where A =
{10,3,2,6}
and B =
{8,9,4,7}

(i)

{(10,4),(10,9),(6,8),(6,7),(2,9),(6,9)}
(ii)

{(10,4),(10,9),(6,8),(6,7),(2,9),(6,9),(8,6)}
(iii)

{(10,4),(10,9),(6,7),(2,9),(6,9),(8,6)}
(iv)

{(10,4),(10,9),(6,8),(2,9),(6,9),(8,5)}
(v)

{(10,4),(10,9),(6,8),(2,9),(6,9)}

Question 19

19.

Find the range of given relation diagram.

(i)

{6,2,7,1,9}
(ii)

{5,8,10,3,9}
(iii)

{5,8,3,9}
(iv)

{6,2,7,1}
(v)

{5,8,10,3,9,1}

Question 20

20.

(i)

{(7,6),(7,2),(7,3),(7,8),(10,6),(10,2),(10,3),(10,8)}
(ii)

{(7,6),(7,2),(7,8),(10,6),(10,2),(10,3),(10,8),(3,7)}
(iii)

{(7,6),(7,2),(7,3),(10,6),(10,2),(10,3),(10,8),(9,6)}
(iv)

{(7,6),(7,2),(7,3),(7,8),(10,2),(10,3),(10,8)}
(v)

{(7,6),(7,2),(7,3),(7,8),(10,6),(10,2),(10,3),(10,8),(3,7)}

Question 21

21.

(i)

(

(
-10
23
)

,

25
23

)
(ii)

(

25
23

,

(
-10
23
)

)
(iii)

(

(
-8
23
)

,

25
23

)
(iv)

(

(
-10
23
)

,

23
21

)
(v)

(

(
-2
5
)

,

27
25

)

Question 22

22.

If A =
{9,5,6,10,4,8}
and B =
{8,9,7,5,4,10}
,

(i)

{(9,9),(5,5),(10,10),(8,8),(5,3)}
(ii)

{(9,9),(5,5),(4,4),(10,10),(8,8),(6,6)}
(iii)

{(9,9),(5,5),(4,4),(10,10),(8,8),(7,7)}
(iv)

{(9,9),(5,5),(4,4),(10,10),(8,8)}
(v)

{(9,9),(5,5),(10,10),(8,8)}

Question 23

23.

Which of the following does not represent a function
f

:

A

→

B
,

where A =
{6,1,5,10,3,8}
and B =
{2,4,9,7}
?

(i)

{(8,4),(5,2),(3,9),(6,7),(1,2),(10,9)}
(ii)

{(1,9),(10,7),(3,4),(8,4),(6,4),(5,4)}
(iii)

{(8,2),(3,9),(1,7),(5,4),(6,2),(10,7)}
(iv)

{(3,4),(6,2),(5,7),(1,9),(8,7),(10,4)}
(v)

{(8,4),(10,4),(3,7),(6,7),(3,4),(8,9)}

Question 24

24.

Which of the following relations does not represent a function
f

:

A

→

B
,

where A =
{f,b,c,e,j}
and B =
{o,i,a,h,l}
?

(i)

{(e,o),(c,l),(j,i),(f,o),(b,l)}
(ii)

{(b,h),(f,l),(e,h),(j,l),(c,h)}
(iii)

{(b,i),(e,i),(j,l),(f,a),(c,h)}
(iv)

{(e,a),(b,h),(j,l),(f,o),(c,a),(f,a),(c,i)}
(v)

{(c,l),(j,l),(e,h),(f,a),(b,l)}

Question 25

25.

Find the cardinality of the given relation

(i)

4
(ii)

3
(iii)

5
(iv)

6
(v)

8

Assignment Key