How many numbers are there between 1 and 100 that are not divisible by 2,3 and 5

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How many numbers are there between 1 and 100 that are not divisible by 2,3 and 5?

Answer: Option A
:
A
Numbers divisible by 2 = 50
Numbers divisible by 3 = 33
Numbers divisible by 5 = 20
Numbers divisible by 6 (LCM of 2 & 3) = 16
Numbers divisible by 10 (LCM of 2 & 5) = 10
Numbers divisible by 15 (LCM of 3 & 5) = 6
Numbers divisible by 30 (LCM of 2, 3 & 5) = 3

How Many Numbers Are There Between 1 And 100 That Are Not Di...

Numbers divisible by 2, 3 & 5 combined = 50 + 33 + 20 - (16 + 10 + 6) + 3 = 103 - 32 + 3 = 106 - 32 = 74
Numbers not divisible by 2, 3 & 5 = 100 - 74 = 26

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