EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Venn Diagrams
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
A ∩ B
=
(i)
{-3,-9}
(ii)
{4,-9}
(iii)
{12,-9}
(iv)
{6,4,-9}
(v)
{-9}
Question
2
2.
In a class of 16 students, each one studies either 'Sanskrit' or 'Physics' or both. If 9 students study 'Sanskrit' and 10 students study 'Physics', how many study 'Physics' only?
(i)
7
(ii)
6
(iii)
9
(iv)
8
(v)
4
Question
3
3.
Find ( (A − B) ∪ (B − A) )'
(i)
{}
(ii)
{4,-4,0,8,1,-5,-1,6,-6}
(iii)
{-4,0,-5,-9,-1,6,8,1,-6}
(iv)
{4,-5,0,-6,6,-1,8,1,-4,-9}
(v)
{-5,6,8,4,1,-1,-6,-4,-9}
Question
4
4.
Find n(A ∩ ∅)
(i)
(-2)
(ii)
1
(iii)
2
(iv)
(-1)
(v)
0
Question
5
5.
In a class of 31 students, if 15 students like 'badminton', 28 students like 'kabaddi' and 13 students like both the games, how many like 'badminton' only ?
(i)
1
(ii)
0
(iii)
3
(iv)
4
(v)
2
Question
6
6.
Find n(A ∪ A)
(i)
5
(ii)
4
(iii)
8
(iv)
6
(v)
7
Question
7
7.
Find (A ∩ B)'
(i)
{}
(ii)
{-4,-5,1,-9,-1,-6}
(iii)
{-9,-1,-4,1,-6,-5,-2}
(iv)
{-6,1,-9,-1,-5,-2}
Question
8
8.
In a class of 25 students, if 18 students study 'English', 15 students study 'French' and 10 students study both the subjects, how many do not study any of the subjects ?
(i)
4
(ii)
2
(iii)
3
(iv)
(-1)
(v)
1
Question
9
9.
In a class of 25 students, if 17 students read 'Deccan Chronicle', 21 students read 'Hans India' and 15 students read both the news papers, how many do not read any of the news papers ?
(i)
1
(ii)
3
(iii)
4
(iv)
2
(v)
0
Question
10
10.
Find n((A − B) ∪ (B − A))
(i)
3
(ii)
6
(iii)
8
(iv)
4
(v)
5
Question
11
11.
In a class of 27 students, each one reads either 'Hans India' or 'Times of India' or both. If 27 students read 'Hans India' and 21 students read 'Times of India', how many read 'Hans India' only?
(i)
7
(ii)
5
(iii)
9
(iv)
4
(v)
6
Question
12
12.
Find (A − B) ∪ (B − A)
(i)
{-8,-6,1,2,8}
(ii)
{-8,1,-6,2}
(iii)
{-8,1,-6,4,8}
(iv)
{-8,2,1,8}
(v)
{0,8,2,-6,-8,1}
Question
13
13.
In a class of 32 students, if 19 students prefer 'Bicycle', 32 students prefer 'Car' and 19 students prefer both the modes of transport, how many do not prefer any of the modes of transport ?
(i)
(-3)
(ii)
(-1)
(iii)
0
(iv)
2
(v)
1
Question
14
14.
Find n(A ∩ A')
(i)
3
(ii)
1
(iii)
(-3)
(iv)
0
(v)
(-1)
Question
15
15.
In a class of 26 students, each one prefers either 'Moped' or 'Car' or both. If 18 students prefer 'Moped' and 26 students prefer 'Car', how many prefer 'Car' only?
(i)
6
(ii)
8
(iii)
7
(iv)
9
(v)
10
Question
16
16.
Find n(B)
(i)
5
(ii)
8
(iii)
6
(iv)
4
(v)
7
Question
17
17.
In a class of 27 students, each one reads either 'Times of India' or 'Indian Express' or both. If 27 students read 'Times of India' and 14 students read 'Indian Express', how many read both the news papers?
(i)
16
(ii)
14
(iii)
13
(iv)
15
(v)
12
Question
18
18.
Find μ
(i)
{-8,-3,8,0,-4,-9,7,4,-6,1}
(ii)
{8,-4,-9,4,-1,-2,10,-8,-6,3,0}
(iii)
{4,-4,-8,-6,0,10,8,-9,-3}
(iv)
{-6,-3,8,-9,7,0,4,-8,-4}
(v)
{-2,-6,0,10,-4,8,-8,-9,4}
Question
19
19.
Find A ∪ A'
(i)
{-3,-8,3,-9}
(ii)
{-14,-7,-8,-1,-2,5}
(iii)
{3,-3,-7,-9}
(iv)
{-7,-2,-8,-14}
(v)
{-3,-8,-2,-9,3}
Question
20
20.
In a class of 23 students, each one prefers either 'By Foot' or 'School Van' or both. If 22 students prefer 'By Foot' and 20 students prefer 'School Van', how many prefer 'By Foot' only?
(i)
2
(ii)
6
(iii)
4
(iv)
3
(v)
0
Question
21
21.
Find n(A ∩ A)
(i)
2
(ii)
4
(iii)
7
(iv)
3
(v)
5
Question
22
22.
Find n(A')
(i)
1
(ii)
4
(iii)
5
(iv)
3
(v)
2
Question
23
23.
Find n(B − A)
(i)
5
(ii)
4
(iii)
1
(iv)
7
(v)
3
Question
24
24.
In a class of 34 students, if 21 students prefer 'School Bus', 29 students prefer 'Auto' and 18 students prefer both the modes of transport, how many prefer 'School Bus' only ?
(i)
3
(ii)
5
(iii)
2
(iv)
0
(v)
4
Question
25
25.
Find B'
(i)
{}
(ii)
{7,3,-4,-2}
(iii)
{7,8,-2,-4,3}
(iv)
{7,8,-2,3}
Assignment Key
1) (v)
2) (i)
3) (iv)
4) (v)
5) (v)
6) (iv)
7) (iii)
8) (ii)
9) (iv)
10) (v)
11) (v)
12) (i)
13) (iii)
14) (iv)
15) (ii)
16) (iii)
17) (ii)
18) (i)
19) (v)
20) (iv)
21) (ii)
22) (iv)
23) (ii)
24) (i)
25) (iii)