Explanation : Let us draw a Venn diagram with the information
given in the question.
Numbers divisible by 3 (3, 6, 9 and so on) = 33
Numbers divisible by 5 (5, 10, 15 and so on) = 20
Numbers which are divisible by both 3 and 5 (15, 30, 45,
60, 75 and 90) = 6
Numbers divisible by 3 or 5 or both 3 and 5 = 27 + 6 + 14
= 47 (alternatively, 33 + 20 − 6 = 47)
Numbers neither divisible by 3 nor by 5 = 100 − 47 = 53