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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 ?


Options:
A .  48
B .  60
C .  80
D .  120
Answer: Option D

n(A) =  `(75/100 xx 600)` =  450., n(B) = `(45/100 xx 600)` =  270,  n`(A uu B)`  =600

`:.`        n`(A nn B)` = n(A) + n(B) - n`(A  uu B)` =  450 +270 - 600 = 120.




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