# Dell Set Theory Questions

Question 1

Time: 00:00:00
Of the 200 candidates who were interviewed for a position
at a call center, 100 had a two-wheeler, 70 had a credit card
and 140 had a mobile phone. 40 of them had both, a two-wheeler
and a credit card, 30 had both, a credit card and a mobile phone
and 60 had both, a two wheeler and mobile phone and 10 had all three.
How many candidates had none of the three?

0

0

20

20

10

10

18

18

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Question 2

Time: 00:00:00
In a class of 120 students numbered 1 to 120, all even numbered
students opt for Physics, whose numbers are divisible by 5 opt
for Chemistry and those whose numbers are divisible by 7 opt for Math.
How many opt for none of the three subjects?

19

19

41

41

21

21

26

26

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Question 3

Time: 00:00:00
In a group of 60 people, 27 like cold drinks and 42 like
hot drinks and each person likes at least one of the two drinks.
How many like both coffee and tea?

7

7

8

8

9

9

10

10

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Question 4

Time: 00:00:00
In a competition, a school awarded medals in different categories.
36 medals in dance, 12 medals in dramatics and 18 medals in music.
If these medals went to a total of 45 persons and only 4 persons
got medals in all the three categories, how many received medals in
exactly two of these categories?

5

5

3

3

7

7

8

8

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Question 5

Time: 00:00:00
In a group of 100 persons, 72 people can speak English and
43 can speak French. How many can speak English only?
How many can speak both English and French?

13

13

15

15

17

17

19

19

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Question 6

Time: 00:00:00
If n(A - B) = 18, n(A ∪ B) = 70 and n(A ∩ B) = 25,
then find n(B).

51

51

52

52

53

53

54

54

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Question 7

Time: 00:00:00
In a group of 60 people, 27 like cold drinks and 42 like
hot drinks and each person likes at least one of the two drinks.
How many like both coffee and tea?

15

15

11

11

19

19

9

9

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Question 8

Time: 00:00:00
Let A and B be two finite sets such that n(A) = 20, n(B) = 28
and n(A ∪ B) = 36, find n(A ∩ B).

13

13

18

18

12

12

8

8

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Question 9

Time: 00:00:00
In a class 40% of the students enrolled for Math and 70%
enrolled for Economics. If 15% of the students enrolled for
both Math and Economics, what % of the students of the class
did not enroll for either of the two subjects?

6

6

5

5

7

7

4

4

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Question 10

Time: 00:00:00
In a group of students, 65 play football, 45 play hockey,
42 play cricket, 20 play football and hockey, 25 play football
and cricket, 15 play hockey and cricket and 8 play all the three games.
Find the total number of students in the group.
(Assume that each student in the group plays at least one game.)

100

100

102

102

103

103

105

105

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