How many integers between 1 and 200, inclusive, are divisible by both 3 and 4?

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How many integers between 1 and 200, inclusive, are divisible by both 3 and 4?

A. 8

B. 12

C. 15

D. 16

E. 24


OA D

Source: Princeton Review

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BTGmoderatorDC wrote:
Wed Aug 03, 2022 7:40 am
How many integers between 1 and 200, inclusive, are divisible by both 3 and 4?

A. 8

B. 12

C. 15

D. 16

E. 24


OA D

Source: Princeton Review
LCM of \(3\) and \(4\) is \(12\).

We need to look for multiples of \(12\) up to \(200\).

First multiple of \(12\) is \(12\)
Last multiple of \(12\) is \(192\)

Total integers \(= \dfrac{192 - 12}{12} + 1 = 15+1 = 16\).

Therefore, D