UPSC CAPF Assistant Commandant Model Paper 1

Let the percentage of students who play both games be A.
Percentage number of students who doesn’t play any game = 250 × (100/2500) = 10%
According to the question,
⇒ 100 = A + (60 – A) + (50 – A) + 10
⇒ A = 20
Number of students who played only Hockey = [(60 – 20)/100] × 2500 = 1000
Number of students who played only Cricket = [(50 – 20)/100] × 2500 = 750
Required percentage = (750/1000) × 100 = 75%