EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Venn Diagrams
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
In a class of 22 students, each one prefers either 'RTC Bus' or 'Bicycle' or both. If 7 students prefer 'RTC Bus' and 21 students prefer 'Bicycle', how many prefer 'RTC Bus' only?
  • (i)
    2
  • (ii)
    0
  • (iii)
    4
  • (iv)
    1
  • (v)
    (-2)
Question 2
2.
Find C − (A ∩ B)
  • (i)
    {-4,6,-6,12,2,17,13,-1,-9,10,7}
  • (ii)
    {-4,6,-6,12,2,17,13,-1,-9,10}
  • (iii)
    {-4,6,-6,12,17,13,-1,-9,10}
  • (iv)
    {6,-6,12,2,17,13,-1,-9,10,7}
  • (v)
    {-4,6,12,2,17,13,-1,-9,10,16}
Question 3
3.
Find n(μ)
  • (i)
    5
  • (ii)
    4
  • (iii)
    3
  • (iv)
    6
  • (v)
    7
Question 4
4.
Find n((A ∩ B)')
  • (i)
    9
  • (ii)
    7
  • (iii)
    6
  • (iv)
    5
  • (v)
    8
Question 5
5.
Find A ∩ B
  • (i)
    {-8,-1}
  • (ii)
    {-8}
  • (iii)
    {}
  • (iv)
    {-8,-2}
  • (v)
    {-8,-5,-1}
Question 6
6.
Find B ∪ C
  • (i)
    {5,-2,8,12,9,-1,-4,-7,2,16,-9,3}
  • (ii)
    {5,-2,8,12,9,-4,1,-7,2,16,-9}
  • (iii)
    {5,-2,8,12,9,-1,-4,1,-7,2,16,-9}
  • (iv)
    {5,-2,8,12,-1,-4,1,-7,2,16,-9,11}
  • (v)
    {5,-2,8,12,9,-1,-4,1,-7,2,16,-9,3}
Question 7
7.
Find B' ∩ A'
  • (i)
    {-4,4,5,7,2,-3,-9}
  • (ii)
    {5,7,-4,-3,2,-9,4,-7}
  • (iii)
    {}
Question 8
8.
Find n(C ∩ (A ∪ B))
  • (i)
    6
  • (ii)
    3
  • (iii)
    8
  • (iv)
    4
  • (v)
    5
Question 9
9.
Find n(C ∩ A)
  • (i)
    7
  • (ii)
    3
  • (iii)
    5
  • (iv)
    8
  • (v)
    6
Question 10
10.
Find (A ∪ B) ∪ C
  • (i)
    {3,10,12,13,4,-3,9,6,5,17,14,-1,16,7,-5,-6,8,-9,0}
  • (ii)
    {3,10,12,13,4,-3,9,6,17,14,-1,16,7,-5,-6,8,-9,0}
  • (iii)
    {3,10,12,13,4,-3,9,6,5,17,14,-1,16,7,-5,-6,8,-9}
  • (iv)
    {3,10,12,13,4,-3,9,6,5,17,14,-1,16,7,-5,-6,8}
  • (v)
    {3,10,13,4,-3,9,6,5,17,14,-1,16,7,-5,-6,8,-9,-4}
Question 11
11.
Find n((C ∩ A)')
  • (i)
    19
  • (ii)
    20
  • (iii)
    18
  • (iv)
    22
  • (v)
    17
Question 12
12.
In a class of 32 students, 9 students in 'Spanish', 27 students in 'French', 25 students in 'Telugu', 8 students in 'Spanish' and 'French', 21 students in 'French' and 'Telugu', 7 students in 'Telugu' and 'Spanish', 6 students in all the three subjects could get first class marks. How many of them got first class marks in none?
  • (i)
    1
  • (ii)
    2
  • (iii)
    3
  • (iv)
    0
  • (v)
    (-1)
Question 13
13.
Find n(A ∩ B ∩ C)
  • (i)
    0
  • (ii)
    (-1)
  • (iii)
    1
  • (iv)
    (-2)
  • (v)
    2
Question 14
14.
Find n((B ∩ C) ∪ (B ∩ A))
  • (i)
    8
  • (ii)
    2
  • (iii)
    6
  • (iv)
    4
  • (v)
    5
Question 15
15.
Find n(A ∪ B)
  • (i)
    11
  • (ii)
    7
  • (iii)
    8
  • (iv)
    6
  • (v)
    9
Question 16
16.
Find (A ∩ B)'
  • (i)
    {4,7,15,2,6,-4,17,12,-3,-7,0,3,1,-5,-6,13,10,-8,16,14,11}
  • (ii)
    {4,7,15,2,6,-4,17,12,-3,-7,0,3,1,-5,-6,13,10,-8,16,14}
  • (iii)
    {4,7,15,2,6,-4,17,12,-3,-7,0,3,1,-5,-6,13,10,-8,14,8}
  • (iv)
    {4,7,15,2,6,-4,17,12,-3,-7,0,3,1,-5,-6,13,-8,16,14,11}
  • (v)
    {4,7,2,6,-4,17,12,-3,-7,0,3,1,-5,-6,13,10,-8,16,14}
Question 17
17.
Find n(C − (A ∪ B))
  • (i)
    4
  • (ii)
    6
  • (iii)
    2
  • (iv)
    1
  • (v)
    3
Question 18
18.
In a class of 27 students, each one likes either 'Watching TV' or 'Dancing' or both. If 23 students like 'Watching TV' and 13 students like 'Dancing', how many like 'Dancing' only?
  • (i)
    5
  • (ii)
    4
  • (iii)
    7
  • (iv)
    2
  • (v)
    3
Question 19
19.
In a class of 34 students, 13 students in 'Telugu', 29 students in 'Biology', 21 students in 'French', 11 students in 'Telugu' and 'Biology', 19 students in 'Biology' and 'French', 8 students in 'French' and 'Telugu', 7 students in all the three subjects could get first class marks. How many of them got first class marks in only 'French'?
  • (i)
    0
  • (ii)
    (-2)
  • (iii)
    3
  • (iv)
    1
  • (v)
    2
Question 20
20.
Find n(C')
  • (i)
    12
  • (ii)
    9
  • (iii)
    11
  • (iv)
    10
  • (v)
    7
Question 21
21.
    • A − B
    • =
  • (i)
    {3,8,4}
  • (ii)
    {4}
  • (iii)
    {-3,-7}
  • (iv)
    {10,3,4}
  • (v)
    {3,4}
Question 22
22.
Find n((A ∪ B)')
  • (i)
    5
  • (ii)
    8
  • (iii)
    6
  • (iv)
    7
  • (v)
    4
Question 23
23.
Find A ∩ A'
  • (i)
    {}
  • (ii)
    {0,5,-1,3}
  • (iii)
    {3}
  • (iv)
    {5,0}
  • (v)
    {5}
Question 24
24.
Find (A − (A ∩ (B ∩ C)))'
  • (i)
    {14,19,-7,10,15,-9,-6,13,-4,-1,17,12,5,0,8,9,-2}
  • (ii)
    {14,19,-7,10,15,-9,-6,13,-4,-1,17,12,5,0,8,9,-2,11}
  • (iii)
    {14,19,-7,10,15,-9,-6,13,-4,-1,17,-3,12,5,0,8,9,-2,11}
  • (iv)
    {14,19,-7,10,15,-9,-6,13,-4,-1,17,-3,12,5,0,8,9,-2}
  • (v)
    {14,19,-7,10,15,-9,-6,13,-4,-1,17,-3,12,5,0,9,-2,-8}
Question 25
25.
Find B'
  • (i)
    {-1,15,-4,11,14,-8,-9,5,-7,3,4}
  • (ii)
    {9,-1,15,-4,11,14,-8,-9,5,-7,3,4,6}
  • (iii)
    {9,-1,15,-4,11,14,-8,-9,5,-7,3,4}
  • (iv)
    {9,-1,15,-4,11,-8,-9,5,-7,3,4,6}
  • (v)
    {9,-1,-4,11,14,-8,-9,5,-7,3,4,1}
    Assignment Key
  •  1) (iv)
  •  2) (ii)
  •  3) (i)
  •  4) (ii)
  •  5) (i)
  •  6) (iii)
  •  7) (ii)
  •  8) (v)
  •  9) (v)
  •  10) (iii)
  •  11) (i)
  •  12) (i)
  •  13) (i)
  •  14) (v)
  •  15) (iii)
  •  16) (ii)
  •  17) (v)
  •  18) (ii)
  •  19) (iv)
  •  20) (iv)
  •  21) (v)
  •  22) (iii)
  •  23) (i)
  •  24) (iv)
  •  25) (iii)