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

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