Paper 1 · Mathematical Reasoning and Aptitude
How many numbers from 1 to 100 are not divisible by 3 or 5?
A47
B43
C53 ✓ Correct
D58
Correct answer: (C) 53 — 53 numbers are not divisible by 3 or 5, so that is the answer.
Explanation
★53 numbers are not divisible by 3 or 5, so that is the answer.
★From 1 to 100 there are 33 numbers divisible by 3 and 20 divisible by 5.
★The numbers divisible by 15 are counted in both, and there are 6 of them.
★So the numbers divisible by 3 or 5 are 33 plus 20 minus 6, which is 47.
★The rest are not divisible by either, that is 100 minus 47.
★This gives 53 numbers.
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