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 31 students, each one likes either 'hockey' or 'football' or both. If 19 students like 'hockey' and 26 students like 'football', how many like both the games?
  • (i)
    13
  • (ii)
    17
  • (iii)
    11
  • (iv)
    14
  • (v)
    15
Question 2
2.
In a class of 20 students, each one likes either 'long jump' or 'hockey' or both. If 12 students like 'long jump' and 13 students like 'hockey', how many like 'long jump' only?
  • (i)
    8
  • (ii)
    7
  • (iii)
    4
  • (iv)
    6
  • (v)
    9
Question 3
3.
In a class of 12 students, each one likes either 'carroms' or 'swimming' or both. If 5 students like 'carroms' and 8 students like 'swimming', how many like 'swimming' only?
  • (i)
    10
  • (ii)
    7
  • (iii)
    6
  • (iv)
    8
  • (v)
    5
Question 4
4.
In a class of 30 students, each one likes either 'Playing' or 'Painting' or both. If 13 students like 'Playing' and 29 students like 'Painting', how many like both the activities?
  • (i)
    9
  • (ii)
    12
  • (iii)
    15
  • (iv)
    11
  • (v)
    13
Question 5
5.
In a class of 24 students, each one likes either 'Helping parents' or 'Reading books' or both. If 24 students like 'Helping parents' and 20 students like 'Reading books', how many like 'Helping parents' only?
  • (i)
    7
  • (ii)
    2
  • (iii)
    3
  • (iv)
    4
  • (v)
    5
Question 6
6.
In a class of 24 students, each one likes either 'Reading books' or 'Listening music' or both. If 21 students like 'Reading books' and 6 students like 'Listening music', how many like 'Listening music' only?
  • (i)
    2
  • (ii)
    4
  • (iii)
    5
  • (iv)
    3
  • (v)
    1
Question 7
7.
In a class of 26 students, each one studies either 'Social Studies' or 'Physics' or both. If 13 students study 'Social Studies' and 26 students study 'Physics', how many study both the subjects?
  • (i)
    11
  • (ii)
    16
  • (iii)
    14
  • (iv)
    13
  • (v)
    12
Question 8
8.
In a class of 25 students, each one studies either 'French' or 'Hindi' or both. If 22 students study 'French' and 22 students study 'Hindi', how many study 'French' only?
  • (i)
    6
  • (ii)
    3
  • (iii)
    2
  • (iv)
    0
  • (v)
    4
Question 9
9.
In a class of 22 students, each one studies either 'German' or 'Science' or both. If 20 students study 'German' and 22 students study 'Science', how many study 'Science' only?
  • (i)
    1
  • (ii)
    2
  • (iii)
    0
  • (iv)
    3
  • (v)
    4
Question 10
10.
In a class of 26 students, each one prefers either 'School Van' or 'RTC Bus' or both. If 18 students prefer 'School Van' and 20 students prefer 'RTC Bus', how many prefer both the modes of transport?
  • (i)
    13
  • (ii)
    14
  • (iii)
    9
  • (iv)
    12
  • (v)
    11
Question 11
11.
In a class of 23 students, each one prefers either 'Car' or 'School Bus' or both. If 11 students prefer 'Car' and 23 students prefer 'School Bus', how many prefer 'Car' only?
  • (i)
    0
  • (ii)
    (-1)
  • (iii)
    (-3)
  • (iv)
    1
  • (v)
    2
Question 12
12.
In a class of 28 students, each one prefers either 'Auto' or 'Bicycle' or both. If 18 students prefer 'Auto' and 23 students prefer 'Bicycle', how many prefer 'Bicycle' only?
  • (i)
    10
  • (ii)
    8
  • (iii)
    11
  • (iv)
    9
  • (v)
    13
Question 13
13.
In a class of 21 students, each one reads either 'Indian Express' or 'News Today' or both. If 19 students read 'Indian Express' and 17 students read 'News Today', how many read both the news papers?
  • (i)
    12
  • (ii)
    16
  • (iii)
    18
  • (iv)
    14
  • (v)
    15
Question 14
14.
In a class of 20 students, each one reads either 'Deccan Chronicle' or 'Indian Express' or both. If 19 students read 'Deccan Chronicle' and 6 students read 'Indian Express', how many read 'Deccan Chronicle' only?
  • (i)
    14
  • (ii)
    13
  • (iii)
    11
  • (iv)
    15
  • (v)
    16
Question 15
15.
In a class of 26 students, each one reads either 'Deccan Chronicle' or 'Hindustan Times' or both. If 16 students read 'Deccan Chronicle' and 25 students read 'Hindustan Times', how many read 'Hindustan Times' only?
  • (i)
    9
  • (ii)
    11
  • (iii)
    13
  • (iv)
    10
  • (v)
    7
Question 16
16.
In a class of 27 students, if 11 students like 'hockey', 7 students like 'long jump' and 4 students like both the games, how many do not like any of the games ?
  • (i)
    11
  • (ii)
    13
  • (iii)
    16
  • (iv)
    14
  • (v)
    12
Question 17
17.
In a class of 31 students, if 5 students like 'carroms', 18 students like 'kabaddi' and 2 students like both the games, how many like 'carroms' only ?
  • (i)
    0
  • (ii)
    3
  • (iii)
    5
  • (iv)
    2
  • (v)
    4
Question 18
18.
In a class of 28 students, if 12 students like 'volleyball', 22 students like 'running' and 8 students like both the games, how many like 'running' only ?
  • (i)
    16
  • (ii)
    13
  • (iii)
    14
  • (iv)
    15
  • (v)
    11
Question 19
19.
In a class of 35 students, 13 students in 'Urdu', 20 students in 'Science', 17 students in 'Hindi', 9 students in 'Urdu' and 'Science', 8 students in 'Science' and 'Hindi', 5 students in 'Hindi' and 'Urdu', 3 students in all the three subjects could get first class marks. How many of them got first class marks in only 'Urdu'?
  • (i)
    1
  • (ii)
    4
  • (iii)
    2
  • (iv)
    0
  • (v)
    3
Question 20
20.
In a class of 26 students, 18 students in 'French', 21 students in 'English', 11 students in 'Sanskrit', 15 students in 'French' and 'English', 9 students in 'English' and 'Sanskrit', 8 students in 'Sanskrit' and 'French', 7 students in all the three subjects could get first class marks. How many of them got first class marks in only 'English'?
  • (i)
    3
  • (ii)
    1
  • (iii)
    7
  • (iv)
    5
  • (v)
    4
Question 21
21.
In a class of 25 students, 6 students in 'German', 9 students in 'Physics', 16 students in 'Mathematics', 3 students in 'German' and 'Physics', 6 students in 'Physics' and 'Mathematics', 4 students in 'Mathematics' and 'German', 1 students in all the three subjects could get first class marks. How many of them got first class marks in only 'Mathematics'?
  • (i)
    7
  • (ii)
    8
  • (iii)
    6
  • (iv)
    10
  • (v)
    5
Question 22
22.
In a class of 31 students, 19 students in 'Physics', 15 students in 'Urdu', 5 students in 'Sanskrit', 10 students in 'Physics' and 'Urdu', none of the students in 'Urdu' and 'Sanskrit', 3 students in 'Sanskrit' and 'Physics', none of the students in all the three subjects could get first class marks. How many of them got first class marks in exactly two subjects?
  • (i)
    15
  • (ii)
    12
  • (iii)
    13
  • (iv)
    10
  • (v)
    14
Question 23
23.
In a class of 29 students, 20 students in 'English', 10 students in 'Spanish', 11 students in 'Telugu', 8 students in 'English' and 'Spanish', 5 students in 'Spanish' and 'Telugu', 8 students in 'Telugu' and 'English', 4 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)
    10
  • (ii)
    13
  • (iii)
    14
  • (iv)
    12
  • (v)
    15
Question 24
24.
In a class of 28 students, 12 students in 'Urdu', 16 students in 'Physics', 14 students in 'Hindi', 7 students in 'Urdu' and 'Physics', 10 students in 'Physics' and 'Hindi', 6 students in 'Hindi' and 'Urdu', 5 students in all the three subjects could get first class marks. How many of them got first class marks in none?
  • (i)
    3
  • (ii)
    2
  • (iii)
    5
  • (iv)
    4
  • (v)
    6
Question 25
25.
In a class of 25 students, 12 students like 'hockey', 13 students like 'football', 10 students like 'shotput', 8 students like 'hockey' and 'football', 6 students like 'football' and 'shotput', 5 students like 'shotput' and 'hockey', 2 students like all the three games. How many of them like only 'hockey'?
  • (i)
    1
  • (ii)
    3
  • (iii)
    (-1)
  • (iv)
    2
  • (v)
    0
Question 26
26.
In a class of 27 students, 8 students like 'shotput', 8 students like 'tennis', 19 students like 'boxing', 4 students like 'shotput' and 'tennis', 6 students like 'tennis' and 'boxing', 6 students like 'boxing' and 'shotput', 3 students like all the three games. How many of them like only 'tennis'?
  • (i)
    2
  • (ii)
    1
  • (iii)
    0
  • (iv)
    (-1)
  • (v)
    3
Question 27
27.
In a class of 35 students, 13 students like 'Painting', 15 students like 'Playing', 13 students like 'Listening music', 4 students like 'Painting' and 'Playing', 6 students like 'Playing' and 'Listening music', 4 students like 'Listening music' and 'Painting', 1 students like all the three activities. How many of them like only 'Painting'?
  • (i)
    7
  • (ii)
    9
  • (iii)
    5
  • (iv)
    4
  • (v)
    6
Question 28
28.
In a class of 25 students, 15 students like 'Reading books', 20 students like 'Dancing', 8 students like 'Listening music', 10 students like 'Reading books' and 'Dancing', 7 students like 'Dancing' and 'Listening music', 4 students like 'Listening music' and 'Reading books', 3 students like all the three activities. How many of them like only 'Dancing'?
  • (i)
    4
  • (ii)
    5
  • (iii)
    6
  • (iv)
    8
  • (v)
    7
Question 29
29.
In a class of 25 students, 15 students prefer 'Bicycle', 10 students prefer 'RTC Bus', 14 students prefer 'School Van', 7 students prefer 'Bicycle' and 'RTC Bus', 7 students prefer 'RTC Bus' and 'School Van', 11 students prefer 'School Van' and 'Bicycle', 6 students prefer all the three modes of transport. How many of them prefer only 'School Van'?
  • (i)
    1
  • (ii)
    5
  • (iii)
    2
  • (iv)
    (-1)
  • (v)
    3
Question 30
30.
In a class of 25 students, 18 students prefer 'Car', 15 students prefer 'School Van', 16 students prefer 'Bicycle', 12 students prefer 'Car' and 'School Van', 10 students prefer 'School Van' and 'Bicycle', 11 students prefer 'Bicycle' and 'Car', 8 students prefer all the three modes of transport. How many of them prefer exactly two modes of transport?
  • (i)
    8
  • (ii)
    11
  • (iii)
    9
  • (iv)
    10
  • (v)
    7
Question 31
31.
In a class of 30 students, 17 students read 'News Today', 7 students read 'Times of India', 9 students read 'Deccan Chronicle', 4 students read 'News Today' and 'Times of India', 1 students read 'Times of India' and 'Deccan Chronicle', 4 students read 'Deccan Chronicle' and 'News Today', 1 students read all the three news papers. How many of them read more than one news paper?
  • (i)
    7
  • (ii)
    4
  • (iii)
    9
  • (iv)
    6
  • (v)
    8
Question 32
32.
In a class of 34 students, 27 students read 'Indian Express', 20 students read 'News Today', 24 students read 'Hindustan Times', 16 students read 'Indian Express' and 'News Today', 14 students read 'News Today' and 'Hindustan Times', 19 students read 'Hindustan Times' and 'Indian Express', 11 students read all the three news papers. How many of them read none?
  • (i)
    0
  • (ii)
    3
  • (iii)
    (-2)
  • (iv)
    2
  • (v)
    1
    Assignment Key

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