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

[BTGmoderatorDC]

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

[swerve]

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