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Question

In a class of 80 students numbered 1 to 80, all odd numbered students opt for cricket, students whose numbers are divisible by 5 opt for football and those whose numbers are divisible by 7 opt for hockey. The number of students who do not opt any of the three games, is

A
13
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B
24
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C
28
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D
52
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E
67
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Solution

The correct option is B 28
Here, n(C)=40, n(F)=16, n(H)=11, n(CF)=8, n(CH)=6, n(FH)=2, n(CFH)=1
n(CFH)=40+16+11862+1=52
n(CFH)
=n(U)n(CFH)
=8052=28

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