EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Relations and Mapping
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
If A =
{i,r,b,m,s}
and B =
{f,q,o,g,k}
,
which of the following is relation
R
:
A
→
B
?
(i)
{(b,g),(s,q),(m,f),(r,q),(i,q)}
(ii)
{(o,e),(k,j),(k,h),(q,h),(q,e)}
(iii)
{(s,h),(m,j),(r,e),(b,j),(i,e)}
(iv)
{(f,m),(k,s),(o,b),(k,r),(g,s)}
(v)
{(h,i),(e,r),(h,m),(j,m),(j,b)}
Question
2
2.
Find the cardinality of the given roster form,
where R =
{(6,4),(5,9),(6,1),(10,9),(4,4),(4,1)}
(i)
8
(ii)
6
(iii)
5
(iv)
7
(v)
3
Question
3
3.
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,d,b}
(ii)
{b,c}
(iii)
{a,b}
(iv)
{d,c}
(v)
{a,c,b}
Question
4
4.
Which of the following relations does not represent a function
f
:
A
→
B
,
where A =
{d,g,j,n}
and B =
{h,f,m,c,o}
?
(i)
{(d,o),(n,m),(j,o),(g,f)}
(ii)
{(j,h),(n,f),(n,h),(d,f)}
(iii)
{(j,f),(n,m),(g,m),(d,f)}
(iv)
{(j,c),(d,f),(n,m),(g,o)}
(v)
{(g,c),(j,m),(d,o),(n,o)}
Question
5
5.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
4
x
2
+
2
x
−
2
)
and domain of
f
is
{x : 3 ≤ x ≤ 7}
(i)
{40,70,154,208,107}
(ii)
{70,108,154,208,38}
(iii)
{40,70,108,154,208}
(iv)
{40,70,108,154,209}
(v)
{40,70,108,208,156}
Question
6
6.
Let
f
:
R
→
R
be a function defined by given conditions
f
(
x
)
=
(
8
x
+
6
)
if
x
<
7
f
(
x
)
=
(
5
x
+
6
)
if
7
≤
x
≤
8
f
(
x
)
=
(
2
x
+
6
)
if
x
>
8
find
f
(
x
)
where x =
13
(i)
71
(ii)
32
(iii)
33
(iv)
110
(v)
31
Question
7
7.
If A =
{10,3,8}
and B =
{5,2,1}
, then
A ✕ B
is
(i)
II
(ii)
IV
(iii)
III
(iv)
I
Question
8
8.
If
f
(
x
)
=
(
2
x
+
6
)
, then find
f
(
6
)
(i)
16
(ii)
19
(iii)
18
(iv)
17
(v)
20
Question
9
9.
If A =
{4,3,6,7}
and B =
{2,8,5}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is less than
b ∈ B
is
(i)
{(4,8),(4,5),(3,8),(6,8),(7,8),(6,2)}
(ii)
{(4,8),(4,5),(3,8),(3,5),(6,8),(7,8)}
(iii)
{(4,8),(4,5),(3,8),(3,5),(6,8),(7,8),(8,3)}
(iv)
{(4,8),(4,5),(3,8),(6,8),(7,8)}
(v)
{(4,8),(4,5),(3,5),(6,8),(7,8),(8,3)}
Question
10
10.
Which of the following relations is a function given ,
A =
{1,9,3,2}
and B =
{7,10,4,2}
?
(i)
{(1,10),(9,7),(2,4)}
(ii)
{(1,10),(9,7),(3,4),(2,4)}
(iii)
{(1,10),(9,7),(2,4),(5,2)}
(iv)
{(1,10),(3,4),(2,4),(7,9)}
(v)
{(1,10),(9,7),(3,4),(2,4),(7,9)}
Question
11
11.
If A =
{7,5,8,6}
and B =
{28,10,20,9,32,3,2,24}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is a factor of
b ∈ B
is
(i)
{(7,28),(5,10),(5,20),(8,24),(6,24)}
(ii)
{(7,28),(5,10),(5,20),(8,32),(8,24),(6,24)}
(iii)
{(7,28),(5,10),(5,20),(8,32),(8,24),(6,24),(20,5)}
(iv)
{(7,28),(5,10),(8,32),(8,24),(6,24),(20,5)}
(v)
{(7,28),(5,10),(5,20),(8,24),(6,24),(33,7)}
Question
12
12.
Find the cardinality of the given relation
(i)
3
(ii)
8
(iii)
5
(iv)
6
(v)
4
Question
13
13.
Find the domain and range of the given relation
R
:
A
→
B
=
{(8,9),(8,1),(8,3),(10,9),(10,1),(10,3),(2,9),(2,1),(2,3),(9,9),(9,1),(9,3)}
(i)
A = {9,10,8,4,7} , B ={1,10,7,9}
(ii)
A = {10,8,12,3} , B ={12,4,11}
(iii)
A = {10,2,14,8} , B ={3,6,9}
(iv)
A = {8,10,2,9} , B = {9,1,3}
(v)
A = {2,10,8,3} , B ={1,9,10}
Question
14
14.
Find the domain in the given roster form,
where R =
{(5,2),(1,9),(7,4),(5,4),(1,2)}
(i)
{4,2,9,8,3}
(ii)
{7,1,5,10}
(iii)
{5,1,7,9}
(iv)
{7,1,5,10,8}
(v)
{5,1,7}
Question
15
15.
Find the co-domain of given relation diagram.
(i)
{1,10,7}
(ii)
{9,3,4,2,7}
(iii)
{1,10,7,4}
(iv)
{9,2,4,3}
(v)
{9,3,4,2}
Question
16
16.
Which of the following does not represent a function
f
:
A
→
B
,
where A =
{1,2,7,4}
and B =
{3,8,10,5}
?
(i)
IV
(ii)
III
(iii)
I
(iv)
II
Question
17
17.
If A =
{c,n,j}
and B =
{r,f,i}
,
which of the following is relation
R
:
B
→
A
?
(i)
{(e,c),(b,j),(k,n),(b,c),(b,n)}
(ii)
{(j,d),(n,k),(c,o),(c,g),(c,b)}
(iii)
{(f,g),(i,b),(i,e),(r,d),(f,d)}
(iv)
{(n,f),(n,i),(c,i),(c,f),(j,f)}
(v)
{(i,c),(f,j),(r,n),(i,j),(f,c)}
Question
18
18.
Which of the following relations is a function
f
:
A
→
B
,
where A =
{k,e,n,a,o,c}
and B =
{f,d,b,j,i,g}
?
(i)
{(c,i),(n,g),(o,j),(k,b),(e,j),(a,g)}
(ii)
{(c,i),(n,g),(o,j),(k,b),(e,j),(a,g),(j,o)}
(iii)
{(c,i),(n,g),(o,j),(e,j),(a,g)}
(iv)
{(c,i),(n,g),(k,b),(e,j),(a,g),(j,o)}
(v)
{}
Question
19
19.
If A =
{3,8,10,2,6,7}
and B =
{9,7,2,10,5}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is equal of
b ∈ B
is
(i)
{(10,10),(2,2),(8,6)}
(ii)
{(10,10),(2,2),(7,7),(6,6)}
(iii)
{(10,10),(2,2),(7,7),(9,9)}
(iv)
{(10,10),(7,7)}
(v)
{(10,10),(2,2),(7,7)}
Question
20
20.
If (
(
8
x
+
5
y
+
1
)
,
6
) = (
10
,
(
7
x
+
5
y
+
5
)
) then find (x,y)
(i)
(
8
,
-12
)
(ii)
(
8
,
-11
)
(iii)
(
11
,
-11
)
(iv)
(
-11
,
8
)
(v)
(
9
,
-10
)
Question
21
21.
If A =
{9,12,2,15,14}
and B =
{5,4,7}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is a multiple of
b ∈ B
is
(i)
{(12,4),(15,5),(14,7)}
(ii)
{(12,4),(14,7),(5,15)}
(iii)
{(12,4),(15,5),(8,13)}
(iv)
{(12,4),(14,7)}
(v)
{(12,4),(15,5),(14,7),(5,15)}
Question
22
22.
Which of the following does not represent a function
f
:
A
→
B
,
where A =
{2,7,1,3}
and B =
{5,8,10,6,9}
?
(i)
{(1,8),(7,9),(2,10)}
(ii)
{(1,8),(3,10),(7,5),(2,5)}
(iii)
{(7,9),(2,8),(3,8),(1,9)}
(iv)
{(7,5),(3,10),(1,9),(2,10)}
(v)
{(1,10),(3,9),(2,9),(7,9)}
Question
23
23.
Find the domain of the given relation.
(i)
{7,1,5}
(ii)
{9,5,1,7,6}
(iii)
{7,1,5,6}
(iv)
{3,10,2,6}
(v)
{9,5,1,7}
Question
24
24.
Write the relation
R
:
A
→
B
in the given diagram,
where A =
{5,8,10,6,4}
and B =
{7,9,2,3}
(i)
{(4,2),(5,3),(8,2),(4,7),(8,3),(7,10)}
(ii)
{(4,2),(5,3),(10,7),(8,2),(4,7),(8,3)}
(iii)
{(4,2),(5,3),(10,7),(4,7),(8,3)}
(iv)
{(4,2),(5,3),(10,7),(4,7),(8,3),(3,7)}
(v)
{(4,2),(5,3),(10,7),(8,2),(4,7),(8,3),(7,10)}
Question
25
25.
Find the range in given roster form,
where R =
{(3,2),(4,1),(7,2),(7,9),(4,10)}
(i)
{2,1,9,10}
(ii)
{9,2,10}
(iii)
{3,4,7,1}
(iv)
{7,4,3}
(v)
{1,9,2,10,3}
Assignment Key
1) (i)
2) (ii)
3) (ii)
4) (ii)
5) (iii)
6) (ii)
7) (iv)
8) (iii)
9) (ii)
10) (ii)
11) (ii)
12) (iii)
13) (iv)
14) (v)
15) (i)
16) (iii)
17) (v)
18) (i)
19) (v)
20) (ii)
21) (i)
22) (i)
23) (i)
24) (ii)
25) (i)
