EduSahara™ Worksheet

Question 1

1.

Which of the following relations is a function
f

:

A

→

B
,

where A =
{d,c,h,a,i}
and B =
{i,n,e,l}
?

(i)

{}
(ii)

{(c,n),(d,e),(h,n),(a,e),(i,n)}
(iii)

{(c,n),(h,n),(a,e),(i,n),(e,d)}
(iv)

{(c,n),(d,e),(h,n),(a,e),(i,n),(e,d)}
(v)

{(c,n),(d,e),(a,e),(i,n)}

Question 2

2.

Find the domain in the given roster form,

where R =
{(8,2),(5,2),(5,1),(4,7),(4,2)}

(i)

{8,5,4}
(ii)

{1,2,7,3}
(iii)

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

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

{8,4,10,5}

Question 3

3.

find the range

(i)

{32,27,22}
(ii)

{22,27,42,32}
(iii)

{27,32,35,10}
(iv)

{22,32,33,27}
(v)

{42,-1,22,32,8,27}

Question 4

4.

If A =
{9,3,8}
and B =
{9,100,4,64,36,81}
,

(i)

{(9,81),(3,9),(8,64),(9,3)}
(ii)

{(9,81),(3,9),(8,64)}
(iii)

{(9,81),(3,9),(65,7)}
(iv)

{(9,81),(8,64)}
(v)

{(9,81),(8,64),(9,3)}

Question 5

5.

Which of the following relations
R

:

A

→

B
represent a function,

given A =
{7,3,4}
and B =
{1,9,10}
?

(i)

I
(ii)

II
(iii)

IV
(iv)

III

Question 6

6.

Find the range in given roster form,

where R =
{(2,4),(3,9),(1,5),(3,6),(2,9)}

(i)

{4,6,5}
(ii)

{3,2,1}
(iii)

{4,6,9,5,3}
(iv)

{4,9,5,6}
(v)

{2,3,1,9}

Question 7

7.

Which of the following relations is a function given ,

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

(i)

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

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

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

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

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

Question 8

8.

Which of the following does not represent a function
f

:

A

→

B
,

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

(i)

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

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

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

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

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

Question 9

9.

(i)

I
(ii)

III
(iii)

IV
(iv)

II

Question 10

10.

Find the cardinality of the given roster form,

where R =
{(6,1),(6,5),(6,6),(7,1),(10,5)}

(i)

3
(ii)

8
(iii)

4
(iv)

6
(v)

5

Question 11

11.

Which of the following are true?

a)	a ∈ (a,b)
b)	(a,b) = (b,a)
c)	(a,b) ∈ {(a,b)}
d)	(a,b) ⊂ {a,b}
e)	(a,b) ≠ {a,b}

(i)

{d,a,c}
(ii)

{a,c}
(iii)

{c,e}
(iv)

{b,e}
(v)

{b,e,c}

Question 12

12.

Which of the following does not represent a function
f

:

A

→

B
,

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

(i)

IV
(ii)

II
(iii)

I
(iv)

III

Question 13

13.

(i)

54,40
(ii)

49,35
(iii)

51,37
(iv)

50,36
(v)

52,38

Question 14

14.

Which of the following relations does not represent a function
f

:

A

→

B
,

where A =
{a,m,o,g,n,e}
and B =
{h,i,j,c,l,k}
?

(i)

{(m,i),(a,h),(o,h),(e,i),(n,l),(e,c)}
(ii)

{(n,c),(a,j),(g,k),(e,k),(m,h),(o,c)}
(iii)

{(a,j),(m,j),(g,l),(e,h),(n,c),(o,h)}
(iv)

{(a,j),(m,l),(e,j),(o,l),(g,l),(n,j)}
(v)

{(n,c),(e,l),(m,k),(a,j),(g,i),(o,h)}

Question 15

15.

Find the domain and range of the given relation

R

:

A

→

B
=
{(10,9),(10,4),(10,7),(10,3),(2,9),(2,4),(2,7),(2,3),(8,9),(8,4),(8,7),(8,3)}

(i)

A = {8,3,10} , B ={3,9,14,4}
(ii)

A = {10,2,8} , B = {9,4,7,3}
(iii)

A = {2,8,4} , B ={3,4,9,10}
(iv)

A = {6,8,10,5} , B ={4,1,3,9,5}
(v)

A = {10,7,4} , B ={-1,4,5,-2}

Question 16

16.

If A =
{10,4,5,9,3}
and B =
{1,10,3,5,6}
,

(i)

{(10,10),(5,5),(3,3),(1,1)}
(ii)

{(10,10),(3,3)}
(iii)

{(10,10),(5,5),(4,2)}
(iv)

{(10,10),(5,5),(3,3)}
(v)

{(10,10),(5,5),(3,3),(4,4)}

Question 17

17.

Which of the following statements are true if
f

:

A

→

B
and
a ∈ A
,
b ∈ B
?

a)

f

(

a

)

=

b

b)

f

(

a

)
is called the image of
a
under
f

c)

f

(

b

)

=

a

d)

f

(

b

)
is called the image of
b
under
f

(i)

{d,b}
(ii)

{c,a}
(iii)

{c,b,a}
(iv)

{c,d,a}
(v)

{a,b}

Question 18

18.

(i)

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

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

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

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

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

Question 19

19.

If A =
{r,s,k,l,e}
and B =
{b,p,j,n,h}
,

which of the following is relation
R

:

B

→

A
?

(i)

{(e,m),(e,q),(k,q),(l,q),(r,q)}
(ii)

{(h,e),(p,k),(n,l),(n,k),(b,l)}
(iii)

{(q,r),(m,r),(m,l),(m,s),(q,e)}
(iv)

{(n,q),(p,m),(p,q),(b,m),(j,q)}
(v)

{(k,p),(l,j),(l,h),(r,p),(e,h)}

Question 20

20.

If A =
{5,8,4,9}
and B =
{16,2,10,6,3,18,20,8}
,

(i)

{(5,10),(5,20),(8,8),(4,16),(4,20),(4,8),(9,18),(16,8)}
(ii)

{(5,10),(5,20),(8,16),(8,8),(4,16),(4,20),(4,8),(9,18),(16,8)}
(iii)

{(5,10),(5,20),(8,16),(4,16),(4,20),(4,8),(9,18),(9,7)}
(iv)

{(5,10),(5,20),(8,16),(8,8),(4,20),(4,8),(9,18)}
(v)

{(5,10),(5,20),(8,16),(8,8),(4,16),(4,20),(4,8),(9,18)}

Question 21

21.

Find the co-domain of given relation diagram.

(i)

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

{10,7,5,6,3}
(iii)

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

{10,7,5,6}
(v)

{5,7,10}

Question 22

22.

Write the relation
R

:

A

→

B
in the given diagram,

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

(i)

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

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

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

{}
(v)

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

Question 23

23.

Find the range of given relation diagram.

(i)

{2,3,5,9,10}
(ii)

{7,9,5,2,3}
(iii)

{10,1,6,8,7}
(iv)

{1,6}
(v)

{10,1,6,8}

Question 24

24.

If A =
{r,g,j,n}
and B =
{l,s,q,d}
,

which of the following is relation
R

:

A

→

B
?

(i)

{(g,d),(g,s),(r,d),(j,s),(r,s)}
(ii)

{(c,j),(a,n),(a,r),(o,r),(h,n)}
(iii)

{(s,n),(s,r),(q,n),(q,j),(d,g)}
(iv)

{(n,o),(j,c),(r,a),(j,o),(g,c)}
(v)

{(d,o),(q,h),(s,c),(q,c),(s,h)}

Question 25

25.

Which of the following does not represent a function
f

:

A

→

B
,

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

(i)

III
(ii)

I
(iii)

II
(iv)

IV

Assignment Key