EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Venn Diagrams
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
In a class of 25 students, 6 students like 'tennis', 9 students like 'kabaddi', 16 students like 'hockey', 3 students like 'tennis' and 'kabaddi', 6 students like 'kabaddi' and 'hockey', 5 students like 'hockey' and 'tennis', 3 students like all the three games. How many of them like more than one game?
(i)
5
(ii)
9
(iii)
7
(iv)
11
(v)
8
Question
2
2.
Find A ∪ B
(i)
{5,-2,8,-3,1,6,-5,2,7}
(ii)
{-5,-2,1,2,7,6,-7,8,5}
(iii)
{1,6,-2,8,2,4,-5,-7,7,5}
(iv)
{7,6,-5,2,5,-7,1,8}
(v)
{-2,7,2,8,6,-7,5,1}
Question
3
3.
In a class of 23 students, each one studies either 'Hindi' or 'Physics' or both. If 17 students study 'Hindi' and 8 students study 'Physics', how many study 'Physics' only?
(i)
3
(ii)
5
(iii)
6
(iv)
8
(v)
7
Question
4
4.
Find (A ∩ B)'
(i)
{6,-3,-1,1,-2,-6,13,7,8,4,16,15,-4,12,5,-7,9,-8,0,14,17}
(ii)
{6,-3,-1,10,1,-2,-6,13,7,8,4,16,15,-4,12,5,-7,9,-8,0,14,17}
(iii)
{6,-3,-1,10,1,-2,-6,13,7,8,4,16,15,-4,12,5,-7,9,-8,0,14}
(iv)
{6,-3,10,1,-2,-6,13,7,8,4,16,15,-4,12,5,-7,9,-8,0,14,-9}
(v)
{6,-3,-1,10,1,-2,-6,13,7,8,4,16,15,-4,12,5,-7,-8,0,14}
Question
5
5.
Find n(C ∪ (A ∩ B))
(i)
8
(ii)
11
(iii)
9
(iv)
10
(v)
12
Question
6
6.
Find n((B − (A ∩ (B ∩ C)))')
(i)
13
(ii)
15
(iii)
17
(iv)
16
(v)
18
Question
7
7.
Find B − (A ∩ (B ∩ C))
(i)
{-3,-1,-8,3,6}
(ii)
{-3,-1,-8,6}
(iii)
{-3,-1,-8,3,5}
(iv)
{-3,-1,3,6,2}
(v)
{-3,-1,-8,3,6,2}
Question
8
8.
Find ( (A − B) ∪ (B − A) )'
(i)
{}
(ii)
{4,-4,-3,9,3}
(iii)
{-3,3,-9,4,-4}
(iv)
{3,-3,-9,4,-4,9}
Question
9
9.
Find n(A')
(i)
13
(ii)
15
(iii)
19
(iv)
16
(v)
17
Question
10
10.
Find n(C − (A ∩ (B ∩ C)))
(i)
7
(ii)
9
(iii)
5
(iv)
6
(v)
4
Question
11
11.
Find n((A − (A ∩ (B ∩ C)))')
(i)
17
(ii)
14
(iii)
13
(iv)
16
(v)
15
Question
12
12.
Find n(B)
(i)
10
(ii)
9
(iii)
13
(iv)
11
(v)
8
Question
13
13.
In a class of 32 students, if 18 students read 'Deccan Chronicle', 19 students read 'The Hindu' and 10 students read both the news papers, how many read 'Deccan Chronicle' only ?
(i)
7
(ii)
8
(iii)
9
(iv)
11
(v)
5
Question
14
14.
In a class of 32 students, if 11 students like 'Painting', 18 students like 'Playing' and 5 students like both the activities, how many like 'Painting' only ?
(i)
6
(ii)
4
(iii)
7
(iv)
5
(v)
8
Question
15
15.
In a class of 34 students, 9 students prefer 'Auto', 9 students prefer 'By Foot', 22 students prefer 'School Van', 1 students prefer 'Auto' and 'By Foot', 4 students prefer 'By Foot' and 'School Van', 5 students prefer 'School Van' and 'Auto', 1 students prefer all the three modes of transport. How many of them prefer only 'By Foot'?
(i)
3
(ii)
4
(iii)
7
(iv)
5
(v)
6
Question
16
16.
Find (C − (A ∩ (B ∩ C)))'
(i)
{12,10,-9,6,9,4,-3,16,15,-8,2,-7,-2,7,-5,0}
(ii)
{12,10,-9,6,9,4,-3,16,-8,2,-7,-2,7,-5,0,8}
(iii)
{12,10,-9,6,9,4,-3,16,15,-8,2,-7,-2,7,0}
(iv)
{12,10,-9,6,9,4,-3,16,15,-8,2,-7,-2,7,-5,0,8}
(v)
{12,10,-9,6,9,4,-3,16,15,-8,-7,-2,7,-5,0,3}
Question
17
17.
Find (A − B) ∩ (A − C)
(i)
{7,-8}
(ii)
{}
(iii)
{-8}
(iv)
{15}
(v)
{7}
Question
18
18.
Find n((A ∩ B) ∩ C)
(i)
2
(ii)
3
(iii)
5
(iv)
4
(v)
1
Question
19
19.
Which of the following diagrams represent equivalent sets?
(i)
figure 4
(ii)
figure 2
(iii)
figure 1
(iv)
figure 3
Question
20
20.
Find (A ∩ B)'
(i)
{8,0,7,-2,-6,1,-9,-7,3,9,2,-5}
(ii)
{1,-3,7,-7,3,0,-9,8,-5,-6,9,2}
(iii)
{-2,-6,8,-7,1,9,3,-3,-9,0,7,2}
(iv)
{}
(v)
{8,1,2,7,-3,-2,-7,-9,9,0,-6,3,-5}
Question
21
21.
Find n((A − B) ∪ (A − C))
(i)
3
(ii)
8
(iii)
7
(iv)
5
(v)
6
Question
22
22.
Find n((A − B) ∩ (A − C))
(i)
3
(ii)
2
(iii)
5
(iv)
0
(v)
1
Question
23
23.
Find B ∪ (C ∩ A)
(i)
{0,-5,6,3,16,4,-6,5,-3,9,-8,15,14,12}
(ii)
{0,-5,6,3,16,4,-6,5,-3,9,-8,15,14}
(iii)
{-5,6,3,16,4,-6,5,-3,9,-8,15,14,12}
(iv)
{0,-5,6,3,16,4,-6,-3,9,-8,15,14}
(v)
{0,-5,6,3,4,-6,5,-3,9,-8,15,14,11}
Question
24
24.
Find (C ∪ A)'
(i)
{-5,5,11,16,17,1,-3,0,-7,13,-9,7}
(ii)
{-5,5,16,17,1,-3,0,-7,13,-9,7}
(iii)
{-5,5,16,17,1,-3,0,-7,13,-9}
(iv)
{-5,5,11,16,17,1,-3,0,-7,13,-9}
(v)
{-5,5,11,16,17,1,-3,0,13,-9,15}
Question
25
25.
Find B − (C ∩ A)
(i)
{2,13,7,17,15,20}
(ii)
{2,13,12,17,15,20,-9}
(iii)
{13,7,12,17,15,20,-3}
(iv)
{2,13,7,12,17,15,20,-9}
(v)
{2,13,7,12,17,15,20}
Assignment Key
1) (v)
2) (ii)
3) (iii)
4) (iii)
5) (iv)
6) (iv)
7) (i)
8) (iv)
9) (iv)
10) (iv)
11) (v)
12) (i)
13) (ii)
14) (i)
15) (iv)
16) (i)
17) (v)
18) (ii)
19) (iv)
20) (v)
21) (v)
22) (ii)
23) (ii)
24) (iv)
25) (v)
