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# Is the positive integer n a multiple of 24 ?

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Intern
Joined: 24 Jul 2010
Posts: 42
Is the positive integer n a multiple of 24 ?  [#permalink]

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30 Nov 2010, 10:56
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Difficulty:

45% (medium)

Question Stats:

41% (00:33) correct 59% (00:13) wrong based on 33 sessions

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Is the positive integer n a multiple of 24 ?

(1) n is a multiple of 4.
(2) n is a multiple of 6.

OPEN DISCUSSION OF THIS QUESTION IS HERE: is-the-positive-integer-n-a-multiple-of-167953.html

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Math Expert
Joined: 02 Sep 2009
Posts: 55271
Re: Is the positive integer n a multiple of 24 ?  [#permalink]

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30 Nov 2010, 11:01
whichscore wrote:
is the positiv integer n a multiple of 24
1. n is a multiple of 4
2. n is a multiple of 6

Probably the best way to solve this problem is to test different numbers.

(1) n is a multiple of 4 --> if n=4 then the answer is NO but if n=24 then the answer is YES. Not sufficient.
(2) n is a multiple of 6 --> if n=6 then the answer is NO but if n=24 then the answer is YES. Not sufficient.

(1)+(2) Well, n is obviously a multiple of LCM of 4 and 6, so n is a multiple of 12. Now, again if n=12 then the answer is NO but if n=24 then the answer is YES. Not sufficient.

Answer: E.
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Intern
Joined: 24 Jul 2010
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Re: Is the positive integer n a multiple of 24 ?  [#permalink]

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30 Nov 2010, 11:17
thx bunnel for the explanation !
Math Expert
Joined: 02 Sep 2009
Posts: 55271
Re: Is the positive integer n a multiple of 24 ?  [#permalink]

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21 Aug 2017, 07:28
whichscore wrote:
Is the positive integer n a multiple of 24 ?

(1) n is a multiple of 4.
(2) n is a multiple of 6.

Is the positive integer n a multiple of 24 ?

(1) n is a multiple of 4. Not sufficient.
(2) n is a multiple of 6. Not sufficient.

(1)+(2) n is a multiple of both 4 and 6 which means that it's a multiple of least common multiple of 4 and 6, which is 12. So, even taken together statements are not sufficient, since n can be for example 12 as well as 24. Not sufficient.

Answer: E.

Generally if a positive integer n is a multiple of positive integer a and positive integer b, then n is a multiple of LCM(a,b).

OPEN DISCUSSION OF THIS QUESTION IS HERE: is-the-positive-integer-n-a-multiple-of-167953.html

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: Is the positive integer n a multiple of 24 ?   [#permalink] 21 Aug 2017, 07:28
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# Is the positive integer n a multiple of 24 ?

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