EduSahara™ Worksheet

Question 1

1.

(i)

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

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

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

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

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

Question 2

2.

(i)

III
(ii)

I
(iii)

IV
(iv)

II

Question 3

3.

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

(i)

{(3,8),(3,4),(7,8)}
(ii)

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

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

{(3,8),(3,4),(7,8),(7,2)}
(v)

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

Question 4

4.

If A =
{9,3,4,8}
and B =
{27,16,7,10,6,8,12,5}
,

(i)

{(9,27),(3,27),(3,6),(3,12),(4,16),(4,8),(4,12),(8,16),(8,8)}
(ii)

{(9,27),(3,27),(3,6),(3,12),(4,8),(4,12),(8,16),(8,8)}
(iii)

{(9,27),(3,27),(3,6),(4,16),(4,8),(4,12),(8,16),(8,8),(12,3)}
(iv)

{(9,27),(3,27),(3,6),(3,12),(4,16),(4,8),(4,12),(8,16),(8,8),(12,3)}
(v)

{(9,27),(3,27),(3,6),(3,12),(4,8),(4,12),(8,16),(8,8),(17,3)}

Question 5

5.

If A =
{3,8,7,9,1}
and B =
{7,5,4,1,6}
,

(i)

{(7,7),(2,0)}
(ii)

{(7,7),(1,1),(9,9)}
(iii)

{(7,7)}
(iv)

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

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

Question 6

6.

If A =
{5,10,8}
and B =
{64,100,4,25,9,49}
,

(i)

{(5,25),(10,100),(8,64),(100,10)}
(ii)

{(5,25),(8,64),(100,10)}
(iii)

{(5,25),(10,100),(8,64)}
(iv)

{(5,25),(8,64)}
(v)

{(5,25),(10,100),(65,7)}

Question 7

7.

Find the domain in the given roster form,

where R =
{(5,10),(7,6),(7,3),(8,4),(9,10)}

(i)

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

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

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

{5,7,8,9}
(v)

{5,7,8,9,4}

Question 8

8.

Find the domain of the given relation.

(i)

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

{2,3,9}
(iii)

{8,1,6,4}
(iv)

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

{2,3,9,8}

Question 9

9.

Find the co-domain of given relation diagram.

(i)

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

{3,5,4}
(iii)

{5,4,3}
(iv)

{3,5,4,9}
(v)

{9,8,10,7,2,3}

Question 10

10.

Find the range in given roster form,

where R =
{(1,9),(10,7),(10,6),(3,9),(1,6)}

(i)

{9,7,6}
(ii)

{1,10,3,6}
(iii)

{7,9,6,10}
(iv)

{3,10,1}
(v)

{7,6}

Question 11

11.

Find the range of given relation diagram.

(i)

{4,8,2}
(ii)

{10,3,4,2,8,5}
(iii)

{1,9,5,4}
(iv)

{10,3,4,2,8}
(v)

{5,9,6,1}

Question 12

12.

Find the cardinality of the given roster form,

where R =
{(2,10),(9,3),(2,3),(6,10)}

(i)

2
(ii)

3
(iii)

5
(iv)

4
(v)

6

Question 13

13.

If A =
{9,10,7,16,4}
and B =
{2,4,5}
,

(i)

{(10,2),(10,5),(16,2),(4,2),(4,4)}
(ii)

{(10,2),(10,5),(16,2),(16,4),(4,2),(4,4)}
(iii)

{(10,2),(10,5),(16,4),(4,2),(4,4),(2,16)}
(iv)

{(10,2),(10,5),(16,2),(16,4),(4,2),(4,4),(2,16)}
(v)

{(10,2),(10,5),(16,2),(4,2),(4,4),(5,15)}

Question 14

14.

If R is a relation from
A→B
,

(i)

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

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

{}
(iv)

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

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

Question 15

15.

If A =
{6,5,2}
and B =
{6,3,1}
,

find the roster form of the relation
R

:

A

→

B
shown in the diagram

(i)

{}
(ii)

{(5,3),(6,6),(6,3),(2,6)}
(iii)

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

{(5,3),(6,6),(2,3),(6,3),(2,6)}

Question 16

16.

If A =
{a,j,q}
and B =
{m,s,e}
,

which of the following is relation
R

:

A

→

B
?

(i)

{(m,q),(m,j),(s,q),(e,a),(e,q)}
(ii)

{(i,q),(k,a),(r,a),(g,a),(i,a)}
(iii)

{(q,g),(a,g),(q,i),(j,i),(a,i)}
(iv)

{(s,k),(m,g),(e,i),(e,g),(e,r)}
(v)

{(q,s),(j,e),(q,m),(j,m),(a,e)}

Question 17

17.

Find the domain from the given graphical representation of relation R.

(i)

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

{1,3,8,6,7}
(iii)

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

{5,4,2}
(v)

{6,3,8,7}

Question 18

18.

Find the range from the given graphical representation of relation R.

(i)

{7,5,6}
(ii)

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

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

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

{7,5,6,4}

Question 19

19.

Which of the following are true?

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

(i)

{d,c,b}
(ii)

{e,a,b}
(iii)

{b,c}
(iv)

{d,c}
(v)

{a,b}

Question 20

20.

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

(i)

2
(ii)

3
(iii)

0
(iv)

(-2)
(v)

1

Question 21

21.

(i)

{(6,5),(2,5),(8,5),(6,3),(2,3),(8,3),(6,9),(2,9),(8,9)}
(ii)

{(5,6),(5,2),(5,8),(3,6),(3,2),(3,8),(9,6),(9,2),(9,8)}
(iii)

{}
(iv)

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

Question 22

22.

Find the cardinality of the given relation

(i)

6
(ii)

7
(iii)

9
(iv)

5
(v)

3

Question 23

23.

Find the domain and range of the given relation

R

:

A

→

B
=
{(6,2),(6,7),(10,2),(10,7),(3,2),(3,7)}

(i)

A = {6,10,11} , B ={12,7}
(ii)

A = {6,10,3} , B = {2,7}
(iii)

A = {4,6,3,10} , B ={2,1,4}
(iv)

A = {6,5,-6} , B ={11,6}
(v)

A = {6,10,7} , B ={2,10}

Question 24

24.

Write the relation
R

:

A

→

B
in the given diagram,

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

(i)

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

{}
(iii)

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

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

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

Question 25

25.

If
f

(

x

)

=

(

8

x

+

8

)
, then find
f

(

5

)

(i)

47
(ii)

49
(iii)

50
(iv)

45
(v)

48

Question 26

26.

(i)

30,11
(ii)

34,14
(iii)

33,13
(iv)

35,15
(v)

32,12

Question 27

27.

find the range

(i)

{16,25,50,34}
(ii)

{25,11,35,5,45,15}
(iii)

{25,35,45}
(iv)

{25,45,15,35}
(v)

{25,32,35,45}

Question 28

28.

If A =
{h,s,m}
and B =
{b,l,i}
,

which of the following is relation
R

:

B

→

A
?

(i)

{(b,j),(l,o),(b,n),(b,p),(l,j)}
(ii)

{(m,j),(s,n),(m,n),(h,p),(m,o)}
(iii)

{(i,h),(l,s),(l,h),(b,s),(b,m)}
(iv)

{(m,i),(s,b),(m,b),(h,i),(h,l)}
(v)

{(o,h),(p,h),(j,s),(n,m),(p,s)}

Question 29

29.

Find the domain of
R

⁻¹
where

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

(i)

{10,9,6,7,1}
(ii)

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

{2,4,3,8}
(iv)

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

{7,9,10,6,1}

Question 30

30.

Find the domain of
R

⁻¹
from the given diagram.

(i)

{5,6,10,8,1}
(ii)

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

{5,6,8,7}
(iv)

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

{1,9,4,7,3}

Question 31

31.

Find the range of
R

⁻¹
where

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

(i)

{2,9,7}
(ii)

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

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

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

{1,9,3,7,10}

Question 32

32.

Find the range of
R

⁻¹
from the given diagram.

(i)

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

{10,4}
(iii)

{3,2,8,9}
(iv)

{7,10,4}
(v)

{3,2,8,9,5}

Question 33

33.

Find
R

⁻¹
given R =
{(10,5),(4,5),(10,10),(10,8),(7,5)}

(i)

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

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

{}
(iv)

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

{(5,10),(8,10),(5,7),(10,10)}

Question 34

34.

(i)

(

(
-9
10
)

,

2

)
(ii)

(

(
-11
10
)

,

1

)
(iii)

(

(
-13
12
)

,

3

)
(iv)

(

(
-11
10
)

,

2

)
(v)

(

2

,

(
-11
10
)

)

Assignment Key