## 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?

by BTGmoderatorDC » Wed Aug 03, 2022 7:40 am

00:00

A

B

C

D

E

## Global Stats

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

by swerve » Sun Aug 07, 2022 11:13 am
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

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