Question
How many numbers from 1 to 500 (both included) are
divisible by 6 or 10?Solution
Multiples of 6 up to 500 = ⌊500/6⌋ = 83 Multiples of 10 up to 500 = ⌊500/10⌋ = 50 Numbers counted twice (divisible by 6 and 10) are multiples of LCM(6,10) = 30 Multiples of 30 up to 500 = ⌊500/30⌋ = 16 Required numbers = 83 + 50 − 16 = 117
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