EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Relations and Mapping
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following relations
R
:
A
→
B
represent a function,
given A =
{3,8}
and B =
{1,4,7}
?
(i)
II
(ii)
IV
(iii)
I
(iv)
III
Question
2
2.
If A =
{5,2,4,7}
and B =
{6,14,10,9,8,16}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is a factor of
b ∈ B
is
(i)
{(5,10),(2,6),(2,14),(2,10),(2,8),(2,16),(4,8),(4,16),(7,14),(10,2)}
(ii)
{(5,10),(2,6),(2,14),(2,10),(2,16),(4,8),(4,16),(7,14)}
(iii)
{(5,10),(2,6),(2,14),(2,10),(2,16),(4,8),(4,16),(7,14),(9,1)}
(iv)
{(5,10),(2,6),(2,14),(2,8),(2,16),(4,8),(4,16),(7,14),(10,2)}
(v)
{(5,10),(2,6),(2,14),(2,10),(2,8),(2,16),(4,8),(4,16),(7,14)}
Question
3
3.
If A =
{3,6,2}
and B =
{100,4,49,36,16,9}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is the square root of
b ∈ B
is
(i)
{(3,9),(2,4)}
(ii)
{(3,9),(2,4),(36,6)}
(iii)
{(3,9),(6,36),(5,1)}
(iv)
{(3,9),(6,36),(2,4)}
(v)
{(3,9),(6,36),(2,4),(36,6)}
Question
4
4.
Find the range in given roster form,
where R =
{(7,1),(6,1),(7,4),(3,1),(3,8)}
(i)
{1,4,8}
(ii)
{6,3,7}
(iii)
{4,8}
(iv)
{1,4,8,7}
(v)
{7,6,3,8}
Question
5
5.
If A =
{j,n,s,h}
and B =
{m,p,a,b}
,
which of the following is relation
R
:
A
→
B
?
(i)
{(q,n),(e,h),(e,n),(q,s),(q,j)}
(ii)
{(p,h),(b,j),(m,h),(p,j),(p,s)}
(iii)
{(a,r),(b,r),(p,r),(p,o),(p,q)}
(iv)
{(h,p),(j,b),(n,p),(n,b),(h,b)}
(v)
{(j,r),(n,r),(j,o),(n,q),(h,e)}
Question
6
6.
If A =
{5,6,7,9}
and B =
{10,2,4}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is less than
b ∈ B
is
(i)
{(5,10),(6,10),(7,10),(9,10),(10,6)}
(ii)
{(5,10),(7,10),(9,10),(10,6)}
(iii)
{(5,10),(6,10),(9,10)}
(iv)
{(5,10),(6,10),(9,10),(11,6)}
(v)
{(5,10),(6,10),(7,10),(9,10)}
Question
7
7.
If (
(
6
x
+
2
y
+
5
)
,
9
) = (
2
,
(
10
x
+
2
y
+
9
)
) then find (x,y)
(i)
(
1
2
,
(
-7
2
)
)
(ii)
(
(
-15
4
)
,
3
4
)
(iii)
(
5
4
,
(
-15
4
)
)
(iv)
(
3
4
,
(
-15
4
)
)
(v)
(
3
4
,
(
-9
2
)
)
Question
8
8.
Which of the following does not represent a function
f
:
A
→
B
,
where A =
{1,4,5,8}
and B =
{2,10,7,3}
?
(i)
I
(ii)
II
(iii)
III
(iv)
IV
Question
9
9.
Which of the following are true?
a)
(a,b)
≠
{a,b}
b)
(a,b) = (b,a)
c)
(a,b)
⊂
{a,b}
d)
(a,b)
∈
{(a,b)}
e)
a
∈
(a,b)
(i)
{e,b,a}
(ii)
{c,d}
(iii)
{a,d}
(iv)
{b,a}
(v)
{c,d,a}
Question
10
10.
If A =
{6,3,5}
and B =
{9,10,4}
, then
A ✕ B
is
(i)
I
(ii)
II
(iii)
IV
(iv)
III
Question
11
11.
Find the domain in the given roster form,
where R =
{(10,3),(2,6),(10,7),(9,7),(8,6)}
(i)
{10,2,9,8}
(ii)
{3,6,4,7}
(iii)
{10,2,9,8,7}
(iv)
{8,2,10,5,9,6}
(v)
{8,2,10,5,9}
Question
12
12.
If
f
(
t
)
=
(
7
t
2
+
6
t
+
5
)
then find
f
(
2
x
−
5
)
(i)
(
29
x
2
−
128
x
+
150
)
(ii)
(
27
x
2
−
128
x
+
150
)
(iii)
(
26
x
2
−
128
x
+
150
)
(iv)
(
28
x
2
−
128
x
+
150
)
(v)
(
30
x
2
−
128
x
+
150
)
Question
13
13.
Let
f
:
R
→
R
be a function defined by given conditions
f
(
x
)
=
(
8
x
+
3
)
if
x
<
-4
f
(
x
)
=
(
x
+
3
)
if
-4
≤
x
≤
-1
f
(
x
)
=
(
2
x
+
2
)
if
x
>
-1
find
f
(
x
)
where x =
-3
(i)
-4
(ii)
-21
(iii)
1
(iv)
-1
(v)
0
Question
14
14.
Write the relation
R
:
A
→
B
in the given diagram,
where A =
{7,2,8,3,10}
and B =
{6,4,5,9}
(i)
{(8,4),(2,6),(3,5),(8,9),(5,8)}
(ii)
{(8,4),(8,5),(2,6),(3,5),(8,9)}
(iii)
{(8,4),(8,5),(3,5),(8,9),(7,1)}
(iv)
{(8,4),(8,5),(3,5),(8,9)}
(v)
{(8,4),(8,5),(2,6),(3,5),(8,9),(5,8)}
Question
15
15.
If A =
{e,i,d,m}
and B =
{l,h,q,c}
,
which of the following is relation
R
:
B
→
A
?
(i)
{(i,a),(m,n),(m,a),(i,n),(e,r)}
(ii)
{(c,d),(l,d),(l,m),(q,m),(h,d)}
(iii)
{(j,e),(n,i),(n,d),(j,m),(a,d)}
(iv)
{(e,h),(e,c),(i,l),(e,l),(i,q)}
(v)
{(h,f),(c,a),(c,n),(q,j),(c,j)}
Question
16
16.
Which of the following does not represent a function
f
:
A
→
B
,
where A =
{3,1,10,2}
and B =
{8,7,5,4}
?
(i)
I
(ii)
IV
(iii)
III
(iv)
II
Question
17
17.
If A =
{9,7,2,4,6}
and B =
{5,2,8,10,6,9}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is equal of
b ∈ B
is
(i)
{(2,2),(9,9)}
(ii)
{(2,2),(6,6),(9,9)}
(iii)
{(2,2),(6,6),(9,9),(10,10)}
(iv)
{(2,2),(6,6),(10,8)}
(v)
{(2,2),(6,6),(9,9),(7,7)}
Question
18
18.
Which of the following relations is a function
f
:
A
→
B
,
where A =
{o,f,d,a,l,c}
and B =
{i,b,d,n,g}
?
(i)
{(c,b),(a,d),(l,i),(o,n),(d,i),(f,b)}
(ii)
{(c,b),(a,d),(o,n),(d,i),(f,b),(i,l)}
(iii)
{}
(iv)
{(c,b),(a,d),(l,i),(o,n),(d,i),(f,b),(i,l)}
(v)
{(c,b),(a,d),(l,i),(d,i),(f,b)}
Question
19
19.
If
f
:
A
→
B
is defined by
f
(
x
)
=
(
6
x
+
7
)
and A =
{5,2,9,10}
,
find the range
(i)
{67,-13,37,8,61,19}
(ii)
{37,19,61,67}
(iii)
{37,61,67,38}
(iv)
{19,37,67}
(v)
{61,19,86,60}
Question
20
20.
Which of the following does not represent a function
f
:
A
→
B
,
where A =
{3,6,10,9,4,7}
and B =
{2,8,5,1}
?
(i)
{(10,1),(3,5),(6,2),(7,1),(4,2),(9,2)}
(ii)
{(4,1),(6,2),(10,8),(3,1),(7,8),(9,1)}
(iii)
{(7,8),(9,8),(6,5),(4,8),(10,1),(3,8)}
(iv)
{(4,1),(7,2),(9,1),(6,8),(6,1),(4,5)}
(v)
{(4,8),(7,1),(9,5),(3,8),(6,8),(10,2)}
Question
21
21.
Which of the following statements are true if
f
:
A
→
B
and
a ∈ A
,
b ∈ B
?
a)
f
(
b
)
is called the image of
b
under
f
b)
f
(
b
)
=
a
c)
f
(
a
)
=
b
d)
f
(
a
)
is called the image of
a
under
f
(i)
{a,d,c}
(ii)
{c,d}
(iii)
{a,b,c}
(iv)
{b,d}
(v)
{a,c}
Question
22
22.
Find the cardinality of the given roster form,
where R =
{(5,1),(5,8),(3,1),(3,8),(10,10),(1,9),(1,10)}
(i)
9
(ii)
8
(iii)
4
(iv)
6
(v)
7
Question
23
23.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
3
x
2
+
5
x
+
7
)
and domain of
f
is
{x : -5 ≤ x ≤ -1}
(i)
{57,35,19,9,7}
(ii)
{57,19,9,5,33}
(iii)
{57,35,19,5,8}
(iv)
{35,19,9,5,58}
(v)
{57,35,19,9,5}
Question
24
24.
Find the domain of the given relation.
(i)
{9,7,10}
(ii)
{7,10,1}
(iii)
{1,5,6,8,4}
(iv)
{7,10}
(v)
{9,7,10,6}
Question
25
25.
If A =
{4,28,32,27,6}
and B =
{9,8,7}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is a multiple of
b ∈ B
is
(i)
{(28,7),(27,9),(8,32)}
(ii)
{(28,7),(27,9)}
(iii)
{(28,7),(32,8),(27,9)}
(iv)
{(28,7),(32,8),(27,9),(8,32)}
(v)
{(28,7),(32,8),(10,26)}
Assignment Key
1) (ii)
2) (v)
3) (iv)
4) (i)
5) (iv)
6) (v)
7) (iv)
8) (i)
9) (iii)
10) (iv)
11) (i)
12) (iv)
13) (v)
14) (ii)
15) (ii)
16) (iv)
17) (ii)
18) (i)
19) (ii)
20) (iv)
21) (ii)
22) (v)
23) (v)
24) (iv)
25) (iii)
