Question

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

Answer 1

Answer:

Explanation: The general formula for the union of 3 sets is:

(A union B union C) = A + B + C – (A intersect B) – (A intersect C) – (B intersect C) + (A intersect B intersect C).

Assuming,

A = 3, B = 5, C = 7

= 500/3 + 500/5 + 500/7 – 500/3*5 – 500/5*7 – 500/7*3 + 500/105
= 271
I think it was a McQ