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Solution


Q.

The number of 3-digit numbers, that are divisible by either 2 or 3 but not divisible by 7, is ___________ .           [2023]

Ans.

(514)

Number of numbers divisible by 2 = 450
Number of numbers divisible by 3 = 300
Number of numbers divisible by 7 = 128
Number of numbers divisible by 2 & 7 = 64
Number of numbers divisible by 3 & 7 = 43
Number of numbers divisible by 2 & 3 = 150
Number of numbers divisible by 2, 3 & 7 = 21

Total numbers = 450 + 300 – 150 – 64 – 43 + 21 = 514