EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Venn Diagrams
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find n(B ∩ (C ∪ A))
(i)
9
(ii)
7
(iii)
4
(iv)
6
(v)
8
Question
2
2.
In a class of 29 students, 8 students in 'Science', 5 students in 'Mathematics', 18 students in 'Physics', 1 students in 'Science' and 'Mathematics', 4 students in 'Mathematics' and 'Physics', 5 students in 'Physics' and 'Science', 1 students in all the three subjects could get first class marks. How many of them got first class marks in more than one subject?
(i)
9
(ii)
7
(iii)
8
(iv)
5
(v)
11
Question
3
3.
Find A' ∩ B'
(i)
{3,-8}
(ii)
{}
(iii)
{3,-8,-6}
Question
4
4.
Find A − (A ∩ (B ∩ C))
(i)
{-6,14,7,13}
(ii)
{-6,-9,14,7,13,12}
(iii)
{-6,-9,14,13,6}
(iv)
{-6,-9,14,7,12}
(v)
{-6,-9,14,7,13}
Question
5
5.
Find n(A ∩ B ∩ C)
(i)
4
(ii)
(-1)
(iii)
0
(iv)
2
(v)
1
Question
6
6.
In a class of 30 students, 16 students read 'Hindustan Times', 14 students read 'News Today', 21 students read 'Deccan Chronicle', 8 students read 'Hindustan Times' and 'News Today', 10 students read 'News Today' and 'Deccan Chronicle', 11 students read 'Deccan Chronicle' and 'Hindustan Times', 6 students read all the three news papers. How many of them read none?
(i)
(-1)
(ii)
2
(iii)
4
(iv)
1
(v)
3
Question
7
7.
Find n(A ∩ A)
(i)
1
(ii)
4
(iii)
3
(iv)
5
(v)
7
Question
8
8.
Find n(A' ∪ B')
(i)
9
(ii)
11
(iii)
10
(iv)
8
(v)
13
Question
9
9.
Find A ∩ μ
(i)
{8,10}
(ii)
{4,9,-1}
(iii)
{10,1,3,8}
(iv)
{4,9}
(v)
{9,7}
Question
10
10.
Find (A − B) ∪ (A − C)
(i)
{-4,-1,4,5,6,14,13,-3}
(ii)
{-4,-1,4,5,6,-8,14,13}
(iii)
{-4,-1,4,5,-8,14,13}
(iv)
{-4,-1,4,5,6,-8,14,13,-3}
(v)
{-4,-1,4,6,-8,14,13,16}
Question
11
11.
Find n(A ∪ A)
(i)
2
(ii)
4
(iii)
1
(iv)
5
(v)
3
Question
12
12.
Find n(A')
(i)
7
(ii)
6
(iii)
4
(iv)
5
(v)
3
Question
13
13.
Find (C ∪ A)'
(i)
{1,3,-6,9,-9,-2,8,-5,11}
(ii)
{1,3,12,-6,9,-9,-2,8,11,14}
(iii)
{1,3,12,-6,9,-9,-2,8,-5,11,14}
(iv)
{1,3,12,-6,9,-9,-2,8,11,-3}
(v)
{1,3,12,-6,9,-9,-2,8,-5,11}
Question
14
14.
Find (A − B) ∪ (B − A)
(i)
{-7}
(ii)
{-5,3}
(iii)
{-5}
(iv)
{-7,-5}
(v)
{-5,-7,3}
Question
15
15.
Find A ∩ A
(i)
{-5,7,0,-1,-2,8}
(ii)
{8,-3,4,7,0}
(iii)
{-3,0,1,8,4,7,3}
(iv)
{7,-5,8,0,1}
(v)
{-5,7,8,-2,0}
Question
16
16.
Find A ∩ B
(i)
{-5,5,1}
(ii)
{5,-8,-7}
(iii)
{-5,5}
(iv)
{-5,5,-8}
(v)
{-5,5,-8,-7}
Question
17
17.
Find n(A ∩ μ)
(i)
4
(ii)
8
(iii)
5
(iv)
6
(v)
2
Question
18
18.
Find n(C')
(i)
18
(ii)
17
(iii)
16
(iv)
14
(v)
20
Question
19
19.
Find n(A ∩ (B ∩ C))
(i)
1
(ii)
4
(iii)
0
(iv)
2
(v)
(-1)
Question
20
20.
Find n((A ∪ B)')
(i)
7
(ii)
8
(iii)
5
(iv)
9
(v)
11
Question
21
21.
In a class of 16 students, each one prefers either 'School Van' or 'School Bus' or both. If 10 students prefer 'School Van' and 7 students prefer 'School Bus', how many prefer 'School Bus' only?
(i)
5
(ii)
9
(iii)
3
(iv)
7
(v)
6
Question
22
22.
Find (B − C) ∩ (B − A)
(i)
{6,-1,5,0,-7,3}
(ii)
{6,-1,5,-5,0,-7,4}
(iii)
{6,-1,5,-5,-7,4}
(iv)
{6,-1,-5,0,-7}
(v)
{6,-1,5,-5,0,-7}
Question
23
23.
Find n(B ∪ C)
(i)
15
(ii)
17
(iii)
11
(iv)
14
(v)
13
Question
24
24.
Find A ∪ μ
(i)
{-5,-2,3,-6,8,-7}
(ii)
{-2,-1,8,-6,3,-7}
(iii)
{8,-2,-5,-9,-7,-6,3}
(iv)
{-1,3,-7,12,2,-6}
(v)
{-6,-1,12,2,4,3,0,-7}
Question
25
25.
Find (C − A) ∩ (C − B)
(i)
{9,4,2}
(ii)
{9,2}
(iii)
{9}
(iv)
{9,4}
(v)
{4,-4}
Assignment Key
1) (ii)
2) (iii)
3) (iii)
4) (v)
5) (v)
6) (ii)
7) (ii)
8) (iii)
9) (ii)
10) (ii)
11) (v)
12) (iv)
13) (v)
14) (iv)
15) (i)
16) (iv)
17) (iii)
18) (ii)
19) (i)
20) (ii)
21) (v)
22) (v)
23) (iv)
24) (iii)
25) (iv)
