EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Relations and Mapping
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
If A =
{7,8,5,6}
and B =
{4,9,2}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is less than
b ∈ B
is
(i)
{(7,9),(8,9),(5,9),(6,9),(9,8)}
(ii)
{(7,9),(8,9),(6,9)}
(iii)
{(7,9),(8,9),(6,9),(10,4)}
(iv)
{(7,9),(5,9),(6,9),(9,8)}
(v)
{(7,9),(8,9),(5,9),(6,9)}
Question
2
2.
If A =
{27,2,10,16}
and B =
{5,9,8}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is a multiple of
b ∈ B
is
(i)
{(27,9),(10,5),(16,8),(5,10)}
(ii)
{(27,9),(10,5),(9,15)}
(iii)
{(27,9),(16,8),(5,10)}
(iv)
{(27,9),(10,5),(16,8)}
(v)
{(27,9),(16,8)}
Question
3
3.
Write the relation
R
:
A
→
B
in the given diagram,
where A =
{4,3,5}
and B =
{8,2,7}
(i)
{(3,2),(5,2),(5,7),(3,8),(4,2),(5,8),(4,8),(7,4)}
(ii)
{(3,2),(5,2),(4,7),(3,8),(4,2),(5,8),(4,8),(8,4)}
(iii)
{(3,2),(5,2),(4,7),(5,7),(3,8),(4,2),(5,8),(4,8)}
(iv)
{(3,2),(5,2),(4,7),(5,7),(3,8),(4,2),(5,8),(4,8),(7,4)}
(v)
{(3,2),(5,2),(4,7),(5,7),(4,2),(5,8),(4,8)}
Question
4
4.
If A =
{n,q,e,s}
and B =
{f,a,g,r}
,
which of the following is relation
R
:
A
→
B
?
(i)
{(e,a),(e,r),(s,f),(q,f),(e,f)}
(ii)
{(g,e),(f,e),(g,n),(r,s),(r,e)}
(iii)
{(n,k),(s,o),(n,m),(e,m),(q,m)}
(iv)
{(m,e),(o,q),(m,s),(k,e),(o,e)}
(v)
{(r,k),(g,m),(g,o),(f,k),(f,m)}
Question
5
5.
If A =
{6,10,5,7,9}
and B =
{5,7,10,3,2,9}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is equal of
b ∈ B
is
(i)
{(10,10),(5,5),(7,7),(9,9)}
(ii)
{(10,10),(5,5),(7,7),(9,9),(2,2)}
(iii)
{(10,10),(5,5),(9,9)}
(iv)
{(10,10),(5,5),(9,9),(8,6)}
(v)
{(10,10),(5,5),(7,7),(9,9),(6,6)}
Question
6
6.
Find the domain and range of the given relation
R
:
A
→
B
=
{(1,3),(1,7),(1,4),(6,3),(6,7),(6,4)}
(i)
A = {10,6} , B ={4,7,5}
(ii)
A = {6,7} , B ={4,3,1}
(iii)
A = {6,8,2} , B ={3,9,7,4}
(iv)
A = {1,-11} , B ={3,7,18}
(v)
A = {1,6} , B = {3,7,4}
Question
7
7.
If
f
:
A
→
B
is defined by
f
(
x
)
=
(
6
x
+
8
)
and A =
{5,10,6,3}
,
find the range
(i)
{16,74,39,44}
(ii)
{-15,-2,38,44,68,26}
(iii)
{68,26,31,44}
(iv)
{38,26,44}
(v)
{38,68,44,26}
Question
8
8.
Find the range of given relation diagram.
(i)
{2,5}
(ii)
{1,3,8,6}
(iii)
{4,2,5,8}
(iv)
{5,4,2}
(v)
{6,1,3,8,2}
Question
9
9.
If
f
(
t
)
=
(
6
t
2
+
9
t
+
6
)
then find
f
(
8
x
−
2
)
(i)
(
385
x
2
−
120
x
+
12
)
(ii)
(
384
x
2
−
120
x
+
12
)
(iii)
(
382
x
2
−
120
x
+
12
)
(iv)
(
386
x
2
−
120
x
+
12
)
(v)
(
383
x
2
−
120
x
+
12
)
Question
10
10.
Let
f
:
R
→
R
be a function defined by given conditions
f
(
x
)
=
(
2
x
+
9
)
if
x
<
1
f
(
x
)
=
(
x
+
6
)
if
1
≤
x
≤
9
f
(
x
)
=
(
3
x
+
8
)
if
x
>
9
find
f
(
x
)
where x =
1
(i)
7
(ii)
11
(iii)
6
(iv)
8
Question
11
11.
If
f
(
x
)
=
(
9
x
+
3
)
and
g
(
y
)
=
(
2
y
+
2
)
, then find
f
(
9
)
,
g
(
1
)
(i)
83,3
(ii)
81,1
(iii)
85,5
(iv)
86,6
(v)
84,4
Question
12
12.
If A =
{10,2,7}
and B =
{6,5,8}
, then
A ✕ B
is
(i)
IV
(ii)
I
(iii)
III
(iv)
II
Question
13
13.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
9
x
+
3
)
and domain of
f
is
{x : 5 ≤ x ≤ 9}
(i)
{48,57,66,75,86}
(ii)
{48,57,66,84,74}
(iii)
{57,66,75,84,46}
(iv)
{48,57,66,75,84}
(v)
{48,57,75,84,67}
Question
14
14.
Find the co-domain of given relation diagram.
(i)
{8,7,1,6}
(ii)
{9,5,3,6,1}
(iii)
{9,5,3,6}
(iv)
{8,7,1}
Question
15
15.
Which of the following are true?
a)
(a,b)
∈
{(a,b)}
b)
(a,b)
≠
{a,b}
c)
(a,b) = (b,a)
d)
(a,b)
⊂
{a,b}
e)
a
∈
(a,b)
(i)
{d,b}
(ii)
{a,b}
(iii)
{e,c,a}
(iv)
{c,a}
(v)
{d,b,a}
Question
16
16.
Which of the following relations
R
:
A
→
B
represent a function,
given A =
{10,3,9,6}
and B =
{8,7,5}
?
(i)
II
(ii)
III
(iii)
I
(iv)
IV
Question
17
17.
Which of the following relations is a function
f
:
A
→
B
,
where A =
{m,b,g,a,h}
and B =
{b,k,g,n}
?
(i)
{(b,k),(m,k),(g,n),(h,g),(b,a)}
(ii)
{(b,k),(a,b),(m,k),(g,n),(h,g),(b,a)}
(iii)
{(b,k),(a,b),(m,k),(g,n),(h,g)}
(iv)
{(b,k),(a,b),(g,n),(h,g)}
(v)
{}
Question
18
18.
Which of the following relations is a function given ,
A =
{8,10,1,6}
and B =
{6,7,4,2,1}
?
(i)
{(8,2),(10,7),(1,7),(6,1)}
(ii)
{(8,2),(1,7),(6,1),(7,10)}
(iii)
{(8,2),(10,7),(6,1)}
(iv)
{(8,2),(10,7),(6,1),(8,0)}
(v)
{(8,2),(10,7),(1,7),(6,1),(7,10)}
Question
19
19.
If A =
{9,2,10}
and B =
{4,36,81,49,100,16}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is the square root of
b ∈ B
is
(i)
{(9,81),(2,4),(10,100)}
(ii)
{(9,81),(10,100)}
(iii)
{(9,81),(10,100),(4,2)}
(iv)
{(9,81),(2,4),(101,9)}
(v)
{(9,81),(2,4),(10,100),(4,2)}
Question
20
20.
Which of the following does not represent a function
f
:
A
→
B
,
where A =
{8,4,6,2}
and B =
{10,9,7,5}
?
(i)
{(6,7),(8,9),(2,10),(4,5)}
(ii)
{(2,10),(6,5),(8,9),(4,10)}
(iii)
{(8,10),(2,9),(6,7),(4,5)}
(iv)
{(4,5),(2,7),(8,7),(6,5)}
(v)
{(2,10),(6,5),(4,7)}
Question
21
21.
If A =
{9,3,5}
and B =
{1,8}
, find
A ✕ B
(i)
{(9,1),(9,8),(3,1),(3,8),(5,1),(5,8)}
(ii)
{(9,1),(9,8),(3,1),(5,1),(5,8),(9,2)}
(iii)
{(9,1),(9,8),(3,1),(3,8),(5,1),(5,8),(1,3)}
(iv)
{(9,1),(9,8),(3,1),(5,1),(5,8)}
(v)
{(9,1),(9,8),(3,8),(5,1),(5,8),(1,3)}
Question
22
22.
Find the cardinality of the given roster form,
where R =
{(1,10),(6,10),(10,1),(7,3),(10,3)}
(i)
7
(ii)
5
(iii)
4
(iv)
3
(v)
6
Question
23
23.
If A =
{3,10,7,5}
and B =
{21,2,20,12,40,8,6,4}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is a factor of
b ∈ B
is
(i)
{(3,21),(3,12),(3,6),(10,20),(10,40),(7,21),(5,20),(5,40)}
(ii)
{(3,21),(3,12),(10,20),(10,40),(7,21),(5,20),(5,40),(6,3)}
(iii)
{(3,21),(3,12),(3,6),(10,20),(7,21),(5,20),(5,40)}
(iv)
{(3,21),(3,12),(3,6),(10,20),(10,40),(7,21),(5,20),(5,40),(6,3)}
(v)
{(3,21),(3,12),(3,6),(10,40),(7,21),(5,20),(5,40),(21,9)}
Question
24
24.
Which of the following does not represent a function
f
:
A
→
B
,
where A =
{10,1,2}
and B =
{3,7,6,5}
?
(i)
III
(ii)
IV
(iii)
I
(iv)
II
Question
25
25.
Which of the following does not represent a function
f
:
A
→
B
,
where A =
{6,8,9,3}
and B =
{5,4,7,1}
?
(i)
{(6,1),(3,4),(9,7),(8,7)}
(ii)
{(3,4),(6,1),(3,1),(6,4)}
(iii)
{(8,7),(9,4),(3,5),(6,4)}
(iv)
{(9,5),(3,4),(8,1),(6,7)}
(v)
{(8,1),(6,1),(9,4),(3,4)}
Assignment Key
1) (v)
2) (iv)
3) (iii)
4) (i)
5) (i)
6) (v)
7) (v)
8) (iv)
9) (ii)
10) (i)
11) (v)
12) (ii)
13) (iv)
14) (iii)
15) (ii)
16) (iv)
17) (iii)
18) (i)
19) (i)
20) (v)
21) (i)
22) (ii)
23) (i)
24) (i)
25) (ii)
