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Is J divisible by 24?

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Is J divisible by 24? [#permalink] New post 29 Aug 2012, 01:26
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Is J divisible by 24?

(1) J is divisible by both 12 and 20.
(2) J is divisible by 8.
[Reveal] Spoiler: OA

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Last edited by Bunuel on 29 Aug 2012, 01:32, edited 1 time in total.
Edited the question and added the OA.
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Re: Is J divisible by 24? [#permalink] New post 29 Aug 2012, 01:36
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Is J divisible by 24?

(1) J is divisible by both 12 and 20 --> J is divisible by the least common multiple of 12 and 20, so by 60. Now, if J=60, then the answer is NO but if J=120, then the answer is YES. Not sufficient.

(2) J is divisible by 8. If J=8, then the answer is NO but if J=24, then the answer is YES. Not sufficient.

(1)+(2) Since from (1) J is divisible by 3 and from (2) J is divisible by 8, then it's divisible by the least common multiple of 3 and 8, so by 24. Sufficient.

Answer: C.

Hope it's clear.
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Re: Is J divisible by 24? [#permalink] New post 24 Sep 2013, 04:01
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Re: Is J divisible by 24?   [#permalink] 24 Sep 2013, 04:01
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