Question

In a school of 150 students, 50 students did not play football, 90 played cricket and 20 neither played football nor cricket
How many students played only football?

• A. 40
• B. 50
• C. 60
• D. Cannot be determined

Answer 1

The correct option is A

40

b + c = 150 - 50 = 100.

a + d = 50 (those who do not play football)

a + b = 90, d = 20

$\Rightarrow$a + 20 = 50 ⇒a = 30

b = 90 - 30 = 60, c = 100 - 60 = 40.