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Q.

In a class of 60 students, 25 students play cricket and 20 play tennis. If 10 students play both the games, then the number of students who play neither game is _.

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a

25

b

20

c

15

d

10

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Detailed Solution

 Given n(U)=60,n(C)=25,n(T)=20,n(C∩T)=10 n(C′∩T)=n(C∪T)′ =n(U)−n(C∪T) =n(U)−[n(C)+n(T)−n(C∩T)] =60−[25+20−10] =25

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