There are 100 students in a particular class

• Quant Sets

There are 100 students in a particular class. 60% students play cricket, 30% student play football and 10% student play both the games. What is the number of students who play neither cricket nor football?

1. 25
2. 20
3. 18
4. 15

Answer

Let Set A be the students playing cricket and Set B the students playing football.

Out of 100 students, 60% play cricket and 30% play football.

Set A (Cricket) = 60

Set B (Football) = 30

10% students play both cricket and football.

A ∩ B = 10

A ∪ B = A + B - (A ∩ B)

A ∪ B = 60 + 30 - 10 = 80

(A ∪ B)' = 100 - 80 = 20

The correct option is B.