EduSahara™ Worksheet

Question 1

1.

(i)

{(5,6),(5,10),(5,3),(2,6),(2,3),(7,6),(7,10),(7,3),(11,1)}
(ii)

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

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

{(5,6),(5,10),(5,3),(2,6),(2,10),(2,3),(7,6),(7,10),(7,3)}
(v)

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

Question 2

2.

(i)

I
(ii)

III
(iii)

II
(iv)

IV

Question 3

3.

If A =
{4,10,7,2}
and B =
{9,6,5}
,

(i)

{(4,9),(4,6),(4,5),(2,9),(2,6),(2,5)}
(ii)

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

{(4,9),(4,6),(4,5),(2,9),(2,6),(2,5),(10,6)}
(iv)

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

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

Question 4

4.

If A =
{8,2,6,4}
and B =
{16,7,12,10,6,5,9,24}
,

(i)

{(8,16),(8,24),(2,16),(2,12),(2,10),(2,6),(6,12),(6,6),(6,24),(4,16),(4,12),(4,24)}
(ii)

{(8,16),(8,24),(2,16),(2,12),(2,10),(2,24),(6,12),(6,6),(6,24),(4,16),(4,12),(4,24),(7,1)}
(iii)

{(8,16),(8,24),(2,16),(2,12),(2,10),(2,6),(2,24),(6,12),(6,6),(6,24),(4,16),(4,12),(4,24)}
(iv)

{(8,16),(8,24),(2,16),(2,12),(2,10),(2,6),(2,24),(6,12),(6,6),(6,24),(4,16),(4,12),(4,24),(10,2)}
(v)

{(8,16),(8,24),(2,16),(2,12),(2,6),(2,24),(6,12),(6,6),(6,24),(4,16),(4,12),(4,24),(10,2)}

Question 5

5.

If A =
{3,10,9,6,7}
and B =
{5,8,7,6,3,9}
,

(i)

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

{(3,3),(6,6),(7,7),(9,9),(10,10)}
(iii)

{(3,3),(6,6),(7,7),(9,9)}
(iv)

{(3,3),(6,6),(9,9),(8,6)}
(v)

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

Question 6

6.

If A =
{10,6,5}
and B =
{81,49,9,100,36,25}
,

(i)

{(10,100),(6,36),(5,25)}
(ii)

{(10,100),(5,25),(36,6)}
(iii)

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

{(10,100),(6,36),(5,25),(36,6)}
(v)

{(10,100),(6,36),(26,4)}

Question 7

7.

Find the domain in the given roster form,

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

(i)

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

{2,6,10}
(iii)

{3,7,1,4}
(iv)

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

{8,5,6,2,10}

Question 8

8.

Find the domain of the given relation.

(i)

{7,4}
(ii)

{6,2,3,1,9}
(iii)

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

{8,7,4,9}
(v)

{4,8,7}

Question 9

9.

Find the co-domain of given relation diagram.

(i)

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

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

{6,5,2,9,1}
(iv)

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

{8,10,4,7,9}

Question 10

10.

Find the range in given roster form,

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

(i)

{3,10,7,5,8}
(ii)

{3,10,5}
(iii)

{5,7,10,3}
(iv)

{4,8,2,1,6}
(v)

{4,8,10}

Question 11

11.

Find the range of given relation diagram.

(i)

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

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

{9,8,10}
(iv)

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

{6,3,2,5,4}

Question 12

12.

Find the cardinality of the given roster form,

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

(i)

7
(ii)

4
(iii)

5
(iv)

9
(v)

6

Question 13

13.

Find the cardinality of the given relation

(i)

2
(ii)

8
(iii)

5
(iv)

4
(v)

6

Question 14

14.

If A =
{10,16,12,7}
and B =
{8,5,6}
,

(i)

{(10,5),(16,8),(12,6)}
(ii)

{(10,5),(12,6)}
(iii)

{(10,5),(12,6),(8,16)}
(iv)

{(10,5),(16,8),(12,6),(8,16)}
(v)

{(10,5),(16,8),(7,11)}

Question 15

15.

Find the domain and range of the given relation

R

:

A

→

B
=
{(5,4),(5,8),(8,4),(8,8),(4,4),(4,8)}

(i)

A = {4,5} , B ={4}
(ii)

A = {9,8,4,5} , B ={7,10,8}
(iii)

A = {12,4,8} , B ={16,4}
(iv)

A = {6,4,7} , B ={7,12}
(v)

A = {5,8,4} , B = {4,8}

Question 16

16.

Write the relation
R

:

A

→

B
in the given diagram,

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

(i)

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

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

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

{}
(v)

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

Question 17

17.

If A =
{p,g,j}
and B =
{h,s,b}
,

which of the following is relation
R

:

A

→

B
?

(i)

{(p,s),(j,b),(g,s),(j,h),(j,s)}
(ii)

{(g,o),(p,d),(j,i),(j,n),(j,d)}
(iii)

{(n,p),(l,j),(l,g),(e,p),(d,g)}
(iv)

{(s,g),(b,j),(h,g),(s,p),(b,p)}
(v)

{(s,e),(b,e),(h,n),(s,d),(s,o)}

Question 18

18.

If A =
{b,q,r,g}
and B =
{k,m,c,f}
,

which of the following is relation
R

:

B

→

A
?

(i)

{(q,c),(b,f),(g,c),(r,m),(r,f)}
(ii)

{(b,i),(q,s),(b,d),(r,e),(q,e)}
(iii)

{(m,e),(f,e),(k,d),(k,e),(c,s)}
(iv)

{(i,g),(s,r),(i,r),(s,b),(s,g)}
(v)

{(f,b),(k,g),(m,q),(m,b),(f,g)}

Question 19

19.

Which of the following are true?

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

(i)

{a,b}
(ii)

{e,a,b}
(iii)

{b,c}
(iv)

{d,c}
(v)

{d,c,b}

Question 20

20.

(i)

(

(
-7
45
)

,

(
-16
43
)

)
(ii)

(

(
-1
9
)

,

(
-16
45
)

)
(iii)

(

(
-16
45
)

,

(
-7
45
)

)
(iv)

(

(
-7
47
)

,

(
-16
47
)

)
(v)

(

(
-7
45
)

,

(
-16
45
)

)

Question 21

21.

If n(A) = 3 and n(B) = 3 then the number of possible relations from A → B is

(i)

510
(ii)

512
(iii)

508
(iv)

511
(v)

513

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

)
is called the image of
b
under
f

c)

f

(

a

)
is called the image of
a
under
f

d)

f

(

b

)

=

a

(i)

{d,c}
(ii)

{a,c}
(iii)

{b,d,a}
(iv)

{b,c,a}
(v)

{b,a}

Assignment Key