Question:There are `600` boys in a hostel. Each  plays either hockey or football or both. If `75%` play hockey and `45%` play football, how many play both ? 

A `48` 
B `60` 
C `80` 
D `120` 

+ Answer
D 

+ Explanation
n(A)`= (75/100 xx 600)`

`= 450, n (B)`

`= (45/100 xx 600)`

`= 270` and

`n(AuuB) = 600.`

`:.n(AnnB) = n(A) + n(B) - n(AuuB)`

`= (450 + 270 - 600)`

`= 120.`

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Irin Moni

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