EduSahara™ Worksheet

Question 1

1.

(i)

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

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

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

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

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

Question 2

2.

(i)

II
(ii)

III
(iii)

IV
(iv)

I

Question 3

3.

If A =
{8,9,5,2}
and B =
{10,4,7}
,

(i)

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

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

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

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

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

Question 4

4.

If A =
{7,9,5,6}
and B =
{18,3,15,10,28,36,8,2}
,

(i)

{(7,28),(9,18),(9,36),(5,10),(6,18),(6,36),(16,4)}
(ii)

{(7,28),(9,18),(9,36),(5,10),(6,18),(6,36)}
(iii)

{(7,28),(9,18),(9,36),(5,15),(5,10),(6,18),(6,36)}
(iv)

{(7,28),(9,18),(5,15),(5,10),(6,18),(6,36),(36,9)}
(v)

{(7,28),(9,18),(9,36),(5,15),(5,10),(6,18),(6,36),(36,9)}

Question 5

5.

If A =
{1,8,10,4,7}
and B =
{8,3,4,10,5}
,

(i)

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

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

{(8,8),(10,10),(4,4)}
(iv)

{(8,8),(10,10),(4,4),(3,3)}
(v)

{(8,8),(10,10),(4,4),(1,1)}

Question 6

6.

If A =
{7,8,6}
and B =
{81,4,25,64,49,36}
,

(i)

{(7,49),(8,64),(6,36)}
(ii)

{(7,49),(8,64),(37,5)}
(iii)

{(7,49),(6,36),(64,8)}
(iv)

{(7,49),(8,64),(6,36),(64,8)}
(v)

{(7,49),(6,36)}

Question 7

7.

Find the domain in the given roster form,

where R =
{(3,1),(6,1),(4,8),(10,5),(2,1)}

(i)

{10,3,4,6}
(ii)

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

{9,1,7,8,5}
(iv)

{3,6,4,10,2}
(v)

{10,3,4,6,2,8}

Question 8

8.

Find the domain of the given relation.

(i)

{8,6,5,10}
(ii)

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

{2,1,9,7,10}
(iv)

{5,8,6}
(v)

{6,5}

Question 9

9.

Find the co-domain of given relation diagram.

(i)

{7,4,2,8,5}
(ii)

{5,4,2}
(iii)

{6,10,9,3}
(iv)

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

{6,10,9,3,7}

Question 10

10.

Find the range in given roster form,

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

(i)

{9,5,8,2}
(ii)

{6,7,2,1,10}
(iii)

{10,1,2,6}
(iv)

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

{8,9,5}

Question 11

11.

Find the range of given relation diagram.

(i)

{5,7,10,6,4}
(ii)

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

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

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

{5,7,6}

Question 12

12.

Find the cardinality of the given roster form,

where R =
{(6,5),(4,5),(6,6),(4,6),(3,5),(6,10),(6,3)}

(i)

7
(ii)

6
(iii)

10
(iv)

4
(v)

8

Question 13

13.

Find the cardinality of the given relation

(i)

13
(ii)

9
(iii)

10
(iv)

11
(v)

12

Question 14

14.

If A =
{5,16,4,10,24}
and B =
{8,2,6}
,

(i)

{(16,8),(16,2),(4,2),(10,2),(24,8),(24,2),(24,6)}
(ii)

{(16,8),(16,2),(10,2),(24,8),(24,2),(24,6),(2,4)}
(iii)

{(16,8),(16,2),(4,2),(24,8),(24,2),(24,6)}
(iv)

{(16,8),(16,2),(4,2),(24,8),(24,2),(24,6),(3,9)}
(v)

{(16,8),(16,2),(4,2),(10,2),(24,8),(24,2),(24,6),(2,4)}

Question 15

15.

Find the domain and range of the given relation

R

:

A

→

B
=
{(7,10),(7,6),(7,5),(7,9),(1,10),(1,6),(1,5),(1,9)}

(i)

A = {6,7} , B ={9,11,10,6}
(ii)

A = {2,17} , B ={9,10,1,0}
(iii)

A = {1,5} , B ={9,10,6,7}
(iv)

A = {2,1,7} , B ={5,10,2,3,9}
(v)

A = {7,1} , B = {10,6,5,9}

Question 16

16.

Write the relation
R

:

A

→

B
in the given diagram,

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

(i)

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

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

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

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

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

Question 17

17.

If A =
{b,k,e,n}
and B =
{i,h,f,o}
,

which of the following is relation
R

:

A

→

B
?

(i)

{(i,k),(f,e),(i,e),(f,b),(h,e)}
(ii)

{(k,c),(n,g),(b,s),(b,q),(b,g)}
(iii)

{(i,q),(i,g),(h,g),(h,s),(f,s)}
(iv)

{(s,e),(g,e),(s,b),(q,k),(c,k)}
(v)

{(k,i),(n,i),(b,o),(k,o),(k,f)}

Question 18

18.

If A =
{c,q,h,j,k}
and B =
{o,a,l,r,b}
,

which of the following is relation
R

:

B

→

A
?

(i)

{(c,s),(j,s),(h,s),(q,s),(k,s)}
(ii)

{(k,l),(h,a),(k,a),(c,r),(j,r)}
(iii)

{(o,s),(r,s),(l,s),(b,s),(a,s)}
(iv)

{(a,c),(b,c),(b,h),(o,q),(o,k)}
(v)

{(s,q),(s,k),(s,j),(s,c),(s,h)}

Question 19

19.

Which of the following are true?

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

(i)

{c,e,a}
(ii)

{d,b,a}
(iii)

{a,e}
(iv)

{b,a}
(v)

{c,e}

Question 20

20.

(i)

(

5

,

(
-4
3
)

)
(ii)

(

7

,

(
-4
3
)

)
(iii)

(

5

,

-2

)
(iv)

(

6

,

(
-6
5
)

)
(v)

(

(
-4
3
)

,

5

)

Question 21

21.

If n(A) = 1 and n(B) = 4 then the number of possible relations from A → B is

(i)

15
(ii)

16
(iii)

13
(iv)

14
(v)

18

Question 22

22.

Which of the following statements are true if
f

:

A

→

B
and
a ∈ A
,
b ∈ B
?

a)

f

(

a

)

=

b

b)

f

(

b

)

=

a

c)

f

(

b

)
is called the image of
b
under
f

d)

f

(

a

)
is called the image of
a
under
f

(i)

{c,d}
(ii)

{b,c,a}
(iii)

{a,d}
(iv)

{b,d,a}
(v)

{b,a}

Assignment Key