EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Venn Diagrams
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find B' ∩ A'
(i)
{2,-6,4,-9,0,-8}
(ii)
{0,-8,4,-6,-9}
(iii)
{}
Question
2
2.
In a class of 30 students, 9 students like 'volleyball', 13 students like 'high jump', 10 students like 'wrestling', 3 students like 'volleyball' and 'high jump', 4 students like 'high jump' and 'wrestling', 3 students like 'wrestling' and 'volleyball', 1 students like all the three games. How many of them like exactly two games?
(i)
9
(ii)
4
(iii)
7
(iv)
6
(v)
8
Question
3
3.
Find n((C − A) ∪ (C − B))
(i)
7
(ii)
9
(iii)
6
(iv)
4
(v)
5
Question
4
4.
Find n((C ∪ A)')
(i)
12
(ii)
10
(iii)
7
(iv)
8
(v)
9
Question
5
5.
A ∩ B
=
(i)
{5,-4,-1,-6}
(ii)
{5,-4,-3}
(iii)
{-4,5}
(iv)
{5,13,-4}
(v)
{5,-4,-2}
Question
6
6.
Find ∅
(i)
{1}
(ii)
{1,-1}
(iii)
{1,2,-1,3}
(iv)
{}
(v)
{2}
Question
7
7.
Find n(A ∩ (B ∩ C))
(i)
(-2)
(ii)
1
(iii)
2
(iv)
3
(v)
0
Question
8
8.
Find n(A ∪ B ∪ C)
(i)
18
(ii)
17
(iii)
16
(iv)
20
(v)
19
Question
9
9.
Find C − (A ∪ B)
(i)
{2,-6}
(ii)
{6,2,-6}
(iii)
{2,-5}
(iv)
{2}
(v)
{6,2}
Question
10
10.
Find n(B − (C ∩ A))
(i)
9
(ii)
7
(iii)
8
(iv)
12
(v)
10
Question
11
11.
In a class of 24 students, each one likes either 'football' or 'hockey' or both. If 8 students like 'football' and 23 students like 'hockey', how many like both the games?
(i)
7
(ii)
8
(iii)
6
(iv)
9
(v)
4
Question
12
12.
In a class of 34 students, if 23 students like 'Helping parents', 29 students like 'Reading books' and 22 students like both the activities, how many like 'Helping parents' only ?
(i)
2
(ii)
1
(iii)
3
(iv)
(-1)
(v)
0
Question
13
13.
Find n((C ∩ A)')
(i)
20
(ii)
21
(iii)
18
(iv)
19
(v)
22
Question
14
14.
Find A ∩ B
(i)
{0,18,-1,4,-9,3}
(ii)
{0,18,-1,4,-9}
(iii)
{-6,0,18,-1,4,-9,3}
(iv)
{-6,0,18,-1,4,-9}
(v)
{-6,0,18,4,-9,-8}
Question
15
15.
Find n(B ∩ (C ∪ A))
(i)
7
(ii)
3
(iii)
2
(iv)
5
(v)
4
Question
16
16.
Find A − (B ∪ C)
(i)
{15,-5,2}
(ii)
{15,-5,-2}
(iii)
{15,-5,9}
(iv)
{15,2}
(v)
{15,-5,2,9}
Question
17
17.
Find n(C ∩ (A ∪ B))
(i)
3
(ii)
2
(iii)
5
(iv)
4
(v)
6
Question
18
18.
In a class of 28 students, 15 students prefer 'By Foot', 21 students prefer 'RTC Bus', 9 students prefer 'Auto', 10 students prefer 'By Foot' and 'RTC Bus', 6 students prefer 'RTC Bus' and 'Auto', 5 students prefer 'Auto' and 'By Foot', 3 students prefer all the three modes of transport. How many of them prefer more than one mode of transport?
(i)
15
(ii)
14
(iii)
12
(iv)
17
(v)
16
Question
19
19.
Find n(A ∪ A)
(i)
6
(ii)
5
(iii)
7
(iv)
4
(v)
2
Question
20
20.
Find A − (B ∩ C)
(i)
{20,-3,13,19,11,6,-7,15,2,5}
(ii)
{20,-3,13,19,9,11,-7,15,2,-9}
(iii)
{20,-3,13,19,9,11,6,-7,15,2}
(iv)
{20,-3,13,9,11,6,-7,15,2}
(v)
{20,-3,13,19,9,11,6,-7,15,2,5}
Question
21
21.
In a class of 35 students, each one studies either 'English' or 'Science' or both. If 17 students study 'English' and 35 students study 'Science', how many study 'Science' only?
(i)
19
(ii)
18
(iii)
17
(iv)
15
(v)
20
Question
22
22.
Find n(B)
(i)
4
(ii)
6
(iii)
5
(iv)
3
(v)
7
Question
23
23.
Find (A ∩ B ∩ C)'
(i)
{8,10,-9,-5,-4,9,-7,0,-3,-6,2,-1,6,-8,3,5,1}
(ii)
{8,10,-9,-5,-4,9,-7,0,-3,-6,2,6,-8,3,5,1}
(iii)
{8,10,-9,-5,-4,9,-7,0,-3,-6,2,-1,6,-8,3,5,1,4}
(iv)
{8,10,-9,-4,9,-7,0,-3,-6,2,-1,6,-8,3,5,1,4}
(v)
{8,10,-9,-5,-4,9,-7,0,-3,-6,2,-1,6,3,5,1,4}
Question
24
24.
Find n((A − B) ∪ (A − C))
(i)
8
(ii)
9
(iii)
7
(iv)
4
(v)
6
Question
25
25.
Find A − (A ∩ (B ∩ C))
(i)
{8,-8,5,-4,1,0,-7,-5,-2}
(ii)
{8,-8,5,-4,2,1,0,-5}
(iii)
{8,-8,5,-4,2,1,0,-7,4}
(iv)
{8,-8,5,-4,2,1,0,-7,-5,-2}
(v)
{8,-8,5,-4,2,1,0,-7,-5}
Assignment Key
1) (i)
2) (iii)
3) (iii)
4) (v)
5) (iii)
6) (iv)
7) (ii)
8) (i)
9) (v)
10) (i)
11) (i)
12) (ii)
13) (i)
14) (iv)
15) (v)
16) (i)
17) (iv)
18) (i)
19) (ii)
20) (iii)
21) (ii)
22) (iii)
23) (i)
24) (iii)
25) (v)
