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## Is the integer x divisible by 24 ?

This topic has 1 expert reply and 0 member replies

### Top Member

Vincen Master | Next Rank: 500 Posts
Joined
07 Sep 2017
Posted:
458 messages
6

#### Is the integer x divisible by 24 ?

Thu Sep 14, 2017 1:12 pm
Is the integer x divisible by 24 ?

(1) x is divisible by 8
(2) x is divisible 6

OA is C.

How can I make this DS question? Is the statement (1) sufficient?

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### GMAT/MBA Expert

Jay@ManhattanReview GMAT Instructor
Joined
22 Aug 2016
Posted:
902 messages
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18 members
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Thu Sep 14, 2017 10:34 pm
Vincen wrote:
Is the integer x divisible by 24 ?

(1) x is divisible by 8
(2) x is divisible 6

OA is C.

How can I make this DS question? Is the statement (1) sufficient?
Statement 1: x is divisible by 8

For x to be divisible by 24, it must be divisible by 8 as well as 3. However, we do not know if x is also divisible by 3 too. Insufficient.

Statement 2: x is divisible by 6

For x to be divisible by 24, it must be divisible by 6 as well as 4. However, we do not know if x is also divisible by 4 too. Insufficient.

Statement 1 & 2:

The LCM of 8 and 6 is 24, thus x is divisible by 24. Sufficient.

Hope this helps!

-Jay
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Thanked by: Vincen

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