There are 800 boys in a hostel. Each plays either hockey or football or both. If 80% play hockey and 50% play football, how many players play both the games?

a) 180

b) 240

c) 260

d) 280

Ans. B

Explanation –

80% play hockey => 640 play hockey and 50% play football => 400 play football

640 play hockey => no of players who only play hockey + no of players who play both = 640

400 play football => no of players who only play football + no of players who play both = 400

Now, Number of players who play both = No. of hockey players + No. of football players – Total boys

Thus, Number of players who play both = 640 + 400 – 800 = 240.

Hence option b) is correct