Venn Diagrams # MCQs Practice set

Q.1 In a group of 100 people, 60 like coffee, 45 like tea, and 20 like both. How many like only coffee?

40
20
35
25
Explanation - People who like only coffee = 60 - 20 = 40.
Correct answer is: 40

Q.2 In a survey, 70 people like apples, 50 like bananas, and 30 like both. How many like only bananas?

20
30
40
50
Explanation - Only bananas = 50 - 30 = 20.
Correct answer is: 20

Q.3 Out of 80 students, 50 play football, 40 play cricket, and 10 play both. How many play neither?

0
10
20
30
Explanation - Total playing at least one = 50 + 40 - 10 = 80, so none play neither.
Correct answer is: 0

Q.4 In a group of 120 students, 70 study Physics, 60 study Chemistry, and 30 study both. How many study only Chemistry?

30
40
50
60
Explanation - Only Chemistry = 60 - 30 = 30.
Correct answer is: 30

Q.5 If 200 students were surveyed, 120 like Maths, 80 like English, and 40 like both. How many like only one subject?

160
120
100
80
Explanation - Only one = (120 - 40) + (80 - 40) = 120.
Correct answer is: 120

Q.6 In a class of 90 students, 50 like history, 40 like geography, and 20 like both. How many like neither?

10
20
30
40
Explanation - At least one = 50 + 40 - 20 = 70 → Neither = 90 - 70 = 20.
Correct answer is: 20

Q.7 If 60 people read newspaper A, 50 read B, and 20 read both, how many read at least one?

90
80
70
60
Explanation - At least one = 60 + 50 - 20 = 90.
Correct answer is: 90

Q.8 In a survey, 30% of people like chocolate, 40% like vanilla, and 20% like both. What percent like either chocolate or vanilla?

50%
40%
60%
70%
Explanation - Either = 30 + 40 - 20 = 50%.
Correct answer is: 50%

Q.9 Out of 200 respondents, 120 like Facebook, 100 like Instagram, 60 like both. How many like neither?

40
60
20
80
Explanation - At least one = 120 + 100 - 60 = 160 → Neither = 200 - 160 = 40.
Correct answer is: 40

Q.10 In a college, 100 students play sports, 80 participate in music, 40 do both. How many do neither?

40
60
20
80
Explanation - At least one = 100 + 80 - 40 = 140 → Neither = 160 - 140 = 20 (assuming total 160).
Correct answer is: 20

Q.11 If 90 people watch cricket, 70 watch football, and 50 watch both, how many watch only cricket?

20
40
50
60
Explanation - Only cricket = 90 - 50 = 40.
Correct answer is: 40

Q.12 In a survey, 100 people use WhatsApp, 80 use Telegram, 40 use both. How many use only WhatsApp?

40
50
60
70
Explanation - Only WhatsApp = 100 - 40 = 60.
Correct answer is: 60

Q.13 In a class, 60 students like singing, 45 like dancing, 25 like both. How many like at least one?

80
70
60
50
Explanation - At least one = 60 + 45 - 25 = 80.
Correct answer is: 80

Q.14 Among 150 people, 90 like reading, 70 like traveling, and 50 like both. How many like neither?

10
20
30
40
Explanation - At least one = 90 + 70 - 50 = 110 → Neither = 150 - 110 = 40.
Correct answer is: 40

Q.15 In a class of 60, 25 play basketball, 20 play volleyball, 10 play both. How many play neither?

25
10
15
20
Explanation - At least one = 25 + 20 - 10 = 35 → Neither = 60 - 35 = 25.
Correct answer is: 25

Q.16 In a test, 40 students passed in Maths, 35 in English, and 15 in both. How many failed both?

30
35
20
25
Explanation - At least one = 40 + 35 - 15 = 60 → Failed both = 95 - 60 = 35 (assuming total 95).
Correct answer is: 35

Q.17 In a survey, 55 people like dogs, 45 like cats, 25 like both. How many like only dogs?

30
35
40
25
Explanation - Only dogs = 55 - 25 = 30.
Correct answer is: 30

Q.18 In a group of 90, 40 like Pepsi, 50 like Coke, 20 like both. How many like neither?

10
15
20
30
Explanation - At least one = 40 + 50 - 20 = 70 → Neither = 90 - 70 = 20.
Correct answer is: 20

Q.19 Out of 200 employees, 120 know Excel, 90 know PowerPoint, 50 know both. How many know neither?

30
40
50
60
Explanation - At least one = 120 + 90 - 50 = 160 → Neither = 200 - 160 = 40.
Correct answer is: 40

Q.20 In a club, 100 members play tennis, 70 play badminton, and 40 play both. How many play only badminton?

30
40
50
60
Explanation - Only badminton = 70 - 40 = 30.
Correct answer is: 30

Q.21 In a group, 45% like painting, 55% like dancing, and 25% like both. What percent like at least one?

75%
85%
90%
95%
Explanation - At least one = 45 + 55 - 25 = 75%.
Correct answer is: 75%

Q.22 In a survey, 40 people like movies, 30 like books, and 10 like both. How many like neither?

10
15
20
25
Explanation - At least one = 40 + 30 - 10 = 60 → Neither = 80 - 60 = 20 (assuming total 80).
Correct answer is: 20

Q.23 Among 120 people, 70 like football, 60 like hockey, 30 like both. How many like only one?

70
60
80
100
Explanation - Only one = (70 - 30) + (60 - 30) = 70.
Correct answer is: 70

Q.24 Out of 250 students, 150 play cricket, 100 play football, 50 play both. How many play neither?

0
25
50
75
Explanation - At least one = 150 + 100 - 50 = 200 → Neither = 250 - 200 = 50.
Correct answer is: 50

Q.25 In a survey of 100 people, 40 like Android, 50 like iOS, and 10 like both. How many like only one?

60
70
80
90
Explanation - Only one = (40 - 10) + (50 - 10) = 70.
Correct answer is: 70