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

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  •  19) (iv)
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  •  24) (iv)
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  •  29) (i)
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  •  31) (ii)
  •  32) (ii)