Question
How many whole numbers from 1 to 600 (both included) are divisible by 4 but not divisible by 6?
Solution
Numbers divisible by 4 up to 600: = ⌊600 / 4⌋ = 150 Numbers divisible by both 4 and 6 are divisible by LCM(4, 6) = 12 Numbers divisible by 12 up to 600: = ⌊600 / 12⌋ = 50 Required numbers = 150 − 50 = 100 Answer: 100 numbers
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