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Question

The number of integers between 1 and 500 (both inclusive) that are divisible by 3 or 5 or 7 is
  1. 271

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Solution

The correct option is A 271
Let A÷ by 3
B÷ by 5
C÷ by 7
n(ABC)=n(A)+n(B)+n(C)n(AB)n(AC)n(BC)+n(ABC)
=5003+5005+5007500155002150035+500105
=166+100+71332314+4=271

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