EduSahara™ Assignment
Name : Word Problems on Sets
Chapter : Venn Diagrams
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
In a class of 24 students, each one likes either 'carroms' or 'cricket' or both. If 24 students like 'carroms' and 19 students like 'cricket', how many like both the games?
  • (i)
    22
  • (ii)
    19
  • (iii)
    17
  • (iv)
    18
  • (v)
    20
Question 2
2.
In a class of 21 students, each one likes either 'chess' or 'badminton' or both. If 8 students like 'chess' and 21 students like 'badminton', how many like 'chess' only?
  • (i)
    (-1)
  • (ii)
    3
  • (iii)
    0
  • (iv)
    1
  • (v)
    (-2)
Question 3
3.
In a class of 17 students, each one likes either 'carroms' or 'shotput' or both. If 6 students like 'carroms' and 14 students like 'shotput', how many like 'shotput' only?
  • (i)
    10
  • (ii)
    9
  • (iii)
    14
  • (iv)
    12
  • (v)
    11
Question 4
4.
In a class of 20 students, each one likes either 'Reading books' or 'Painting' or both. If 12 students like 'Reading books' and 16 students like 'Painting', how many like both the activities?
  • (i)
    7
  • (ii)
    8
  • (iii)
    6
  • (iv)
    11
  • (v)
    9
Question 5
5.
In a class of 21 students, each one likes either 'Listening music' or 'Singing' or both. If 20 students like 'Listening music' and 7 students like 'Singing', how many like 'Listening music' only?
  • (i)
    14
  • (ii)
    16
  • (iii)
    15
  • (iv)
    13
  • (v)
    11
Question 6
6.
In a class of 29 students, each one likes either 'Playing' or 'Watching TV' or both. If 22 students like 'Playing' and 25 students like 'Watching TV', how many like 'Watching TV' only?
  • (i)
    6
  • (ii)
    8
  • (iii)
    10
  • (iv)
    5
  • (v)
    7
Question 7
7.
In a class of 11 students, each one studies either 'German' or 'French' or both. If 7 students study 'German' and 7 students study 'French', how many study both the subjects?
  • (i)
    5
  • (ii)
    4
  • (iii)
    1
  • (iv)
    2
  • (v)
    3
Question 8
8.
In a class of 22 students, each one studies either 'Mathematics' or 'Biology' or both. If 15 students study 'Mathematics' and 22 students study 'Biology', how many study 'Mathematics' only?
  • (i)
    2
  • (ii)
    (-3)
  • (iii)
    1
  • (iv)
    0
  • (v)
    (-1)
Question 9
9.
In a class of 11 students, each one studies either 'Telugu' or 'Biology' or both. If 5 students study 'Telugu' and 6 students study 'Biology', how many study 'Biology' only?
  • (i)
    7
  • (ii)
    4
  • (iii)
    9
  • (iv)
    6
  • (v)
    5
Question 10
10.
In a class of 22 students, each one prefers either 'By Foot' or 'Bicycle' or both. If 19 students prefer 'By Foot' and 13 students prefer 'Bicycle', how many prefer both the modes of transport?
  • (i)
    11
  • (ii)
    9
  • (iii)
    10
  • (iv)
    12
  • (v)
    7
Question 11
11.
In a class of 21 students, each one prefers either 'Moped' or 'Car' or both. If 20 students prefer 'Moped' and 11 students prefer 'Car', how many prefer 'Moped' only?
  • (i)
    13
  • (ii)
    9
  • (iii)
    10
  • (iv)
    7
  • (v)
    11
Question 12
12.
In a class of 25 students, each one prefers either 'Car' or 'RTC Bus' or both. If 25 students prefer 'Car' and 11 students prefer 'RTC Bus', how many prefer 'RTC Bus' only?
  • (i)
    1
  • (ii)
    (-1)
  • (iii)
    0
  • (iv)
    (-3)
  • (v)
    3
Question 13
13.
In a class of 24 students, each one reads either 'News Today' or 'Deccan Chronicle' or both. If 8 students read 'News Today' and 22 students read 'Deccan Chronicle', how many read both the news papers?
  • (i)
    7
  • (ii)
    5
  • (iii)
    3
  • (iv)
    8
  • (v)
    6
Question 14
14.
In a class of 18 students, each one reads either 'The Hindu' or 'News Today' or both. If 17 students read 'The Hindu' and 9 students read 'News Today', how many read 'The Hindu' only?
  • (i)
    7
  • (ii)
    12
  • (iii)
    10
  • (iv)
    8
  • (v)
    9
Question 15
15.
In a class of 22 students, each one reads either 'News Today' or 'The Hindu' or both. If 15 students read 'News Today' and 20 students read 'The Hindu', how many read 'The Hindu' only?
  • (i)
    4
  • (ii)
    10
  • (iii)
    8
  • (iv)
    7
  • (v)
    6
Question 16
16.
In a class of 31 students, if 10 students like 'basketball', 6 students like 'running' and 1 students like both the games, how many do not like any of the games ?
  • (i)
    15
  • (ii)
    17
  • (iii)
    18
  • (iv)
    16
  • (v)
    13
Question 17
17.
In a class of 33 students, if 16 students like 'chess', 11 students like 'kabaddi' and 3 students like both the games, how many like 'chess' only ?
  • (i)
    13
  • (ii)
    16
  • (iii)
    10
  • (iv)
    14
  • (v)
    12
Question 18
18.
In a class of 33 students, if 10 students like 'table tennis', 25 students like 'basketball' and 7 students like both the games, how many like 'basketball' only ?
  • (i)
    16
  • (ii)
    18
  • (iii)
    21
  • (iv)
    17
  • (v)
    19
Question 19
19.
In a class of 34 students, 23 students in 'Mathematics', 29 students in 'Spanish', 18 students in 'Hindi', 19 students in 'Mathematics' and 'Spanish', 15 students in 'Spanish' and 'Hindi', 15 students in 'Hindi' and 'Mathematics', 12 students in all the three subjects could get first class marks. How many of them got first class marks in only 'Mathematics'?
  • (i)
    1
  • (ii)
    4
  • (iii)
    2
  • (iv)
    0
  • (v)
    (-2)
Question 20
20.
In a class of 34 students, 22 students in 'Mathematics', 11 students in 'Telugu', 26 students in 'German', 7 students in 'Mathematics' and 'Telugu', 7 students in 'Telugu' and 'German', 16 students in 'German' and 'Mathematics', 3 students in all the three subjects could get first class marks. How many of them got first class marks in only 'Telugu'?
  • (i)
    0
  • (ii)
    1
  • (iii)
    (-1)
  • (iv)
    (-3)
  • (v)
    3
Question 21
21.
In a class of 33 students, 16 students in 'Sanskrit', 24 students in 'Urdu', 11 students in 'English', 11 students in 'Sanskrit' and 'Urdu', 8 students in 'Urdu' and 'English', 4 students in 'English' and 'Sanskrit', 4 students in all the three subjects could get first class marks. How many of them got first class marks in only 'English'?
  • (i)
    5
  • (ii)
    1
  • (iii)
    3
  • (iv)
    2
  • (v)
    4
Question 22
22.
In a class of 28 students, 19 students in 'Spanish', 22 students in 'Sanskrit', 15 students in 'Science', 16 students in 'Spanish' and 'Sanskrit', 12 students in 'Sanskrit' and 'Science', 11 students in 'Science' and 'Spanish', 9 students in all the three subjects could get first class marks. How many of them got first class marks in exactly two subjects?
  • (i)
    10
  • (ii)
    12
  • (iii)
    11
  • (iv)
    14
  • (v)
    13
Question 23
23.
In a class of 30 students, 8 students in 'Biology', 9 students in 'Telugu', 18 students in 'Physics', 1 students in 'Biology' and 'Telugu', 5 students in 'Telugu' and 'Physics', 3 students in 'Physics' and 'Biology', none of the 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)
    12
  • (iii)
    7
  • (iv)
    8
  • (v)
    10
Question 24
24.
In a class of 31 students, 8 students in 'English', 23 students in 'Physics', 7 students in 'Mathematics', 5 students in 'English' and 'Physics', 7 students in 'Physics' and 'Mathematics', 4 students in 'Mathematics' and 'English', 4 students in all the three subjects could get first class marks. How many of them got first class marks in none?
  • (i)
    5
  • (ii)
    8
  • (iii)
    6
  • (iv)
    4
  • (v)
    3
Question 25
25.
In a class of 35 students, 8 students like 'badminton', 20 students like 'hockey', 7 students like 'boxing', 5 students like 'badminton' and 'hockey', 5 students like 'hockey' and 'boxing', none of the students like 'boxing' and 'badminton', none of the students like all the three games. How many of them like only 'badminton'?
  • (i)
    3
  • (ii)
    1
  • (iii)
    2
  • (iv)
    5
  • (v)
    4
Question 26
26.
In a class of 27 students, 7 students like 'shotput', 13 students like 'high jump', 15 students like 'basketball', 3 students like 'shotput' and 'high jump', 7 students like 'high jump' and 'basketball', 6 students like 'basketball' and 'shotput', 3 students like all the three games. How many of them like only 'high jump'?
  • (i)
    7
  • (ii)
    5
  • (iii)
    9
  • (iv)
    6
  • (v)
    4
Question 27
27.
In a class of 27 students, 21 students like 'Playing', 18 students like 'Reading books', 16 students like 'Painting', 15 students like 'Playing' and 'Reading books', 11 students like 'Reading books' and 'Painting', 12 students like 'Painting' and 'Playing', 9 students like all the three activities. How many of them like only 'Playing'?
  • (i)
    6
  • (ii)
    4
  • (iii)
    3
  • (iv)
    1
  • (v)
    2
Question 28
28.
In a class of 32 students, 5 students like 'Listening music', 12 students like 'Dancing', 15 students like 'Singing', 3 students like 'Listening music' and 'Dancing', 7 students like 'Dancing' and 'Singing', 3 students like 'Singing' and 'Listening music', 2 students like all the three activities. How many of them like only 'Dancing'?
  • (i)
    3
  • (ii)
    7
  • (iii)
    1
  • (iv)
    5
  • (v)
    4
Question 29
29.
In a class of 28 students, 14 students prefer 'Car', 22 students prefer 'School Bus', 15 students prefer 'Bicycle', 11 students prefer 'Car' and 'School Bus', 13 students prefer 'School Bus' and 'Bicycle', 7 students prefer 'Bicycle' and 'Car', 6 students prefer all the three modes of transport. How many of them prefer only 'Bicycle'?
  • (i)
    (-2)
  • (ii)
    0
  • (iii)
    4
  • (iv)
    2
  • (v)
    1
Question 30
30.
In a class of 30 students, 6 students prefer 'Car', 14 students prefer 'Auto', 24 students prefer 'Moped', 5 students prefer 'Car' and 'Auto', 13 students prefer 'Auto' and 'Moped', 6 students prefer 'Moped' and 'Car', 5 students prefer all the three modes of transport. How many of them prefer exactly two modes of transport?
  • (i)
    8
  • (ii)
    12
  • (iii)
    10
  • (iv)
    6
  • (v)
    9
Question 31
31.
In a class of 32 students, 22 students read 'Times of India', 19 students read 'Hans India', 18 students read 'The Hindu', 12 students read 'Times of India' and 'Hans India', 10 students read 'Hans India' and 'The Hindu', 13 students read 'The Hindu' and 'Times of India', 6 students read all the three news papers. How many of them read more than one news paper?
  • (i)
    23
  • (ii)
    26
  • (iii)
    22
  • (iv)
    20
  • (v)
    24
Question 32
32.
In a class of 34 students, 19 students read 'The Hindu', 7 students read 'Hans India', 13 students read 'Times of India', 5 students read 'The Hindu' and 'Hans India', 1 students read 'Hans India' and 'Times of India', 7 students read 'Times of India' and 'The Hindu', 1 students read all the three news papers. How many of them read none?
  • (i)
    7
  • (ii)
    6
  • (iii)
    4
  • (iv)
    8
  • (v)
    9
    Assignment Key

  •  1) (ii)
  •  2) (iii)
  •  3) (v)
  •  4) (ii)
  •  5) (i)
  •  6) (v)
  •  7) (v)
  •  8) (iv)
  •  9) (iv)
  •  10) (iii)
  •  11) (iii)
  •  12) (iii)
  •  13) (v)
  •  14) (v)
  •  15) (iv)
  •  16) (iv)
  •  17) (i)
  •  18) (ii)
  •  19) (i)
  •  20) (i)
  •  21) (iii)
  •  22) (ii)
  •  23) (i)
  •  24) (i)
  •  25) (i)
  •  26) (iv)
  •  27) (iii)
  •  28) (v)
  •  29) (v)
  •  30) (v)
  •  31) (i)
  •  32) (i)