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# Is n an integer?

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Is n an integer? [#permalink]  08 Apr 2012, 04:51
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Question Stats:

72% (01:35) correct 27% (00:10) wrong based on 0 sessions
Is n an integer?

(1) 2n is an integer.
(2) 3n is an integer.

[Reveal] Spoiler: OA

Last edited by Bunuel on 08 Apr 2012, 04:57, edited 1 time in total.
Edited the question
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Kudos [?]: 9556 [2] , given: 826

Re: Is n an integer? [#permalink]  08 Apr 2012, 05:01
2
KUDOS
Is n an integer?

(1) 2n is an integer --> 2n=integer: if n=1/2 then the answer is NO but if n=1 then the answer is YES. Not sufficient.
(2) 3n is an integer --> 3n=integer: if n=1/3 then the answer is NO but if n=1 then the answer is YES. Not sufficient.

(1)+(2) Subtract (1) from (2): 3n-2n=integer-integer --> n=integer (since integer-integer=integer). Sufficient.

Hope it's clear.
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Kudos [?]: 39 [0], given: 16

Re: Is n an integer? [#permalink]  08 Apr 2012, 05:19
+1 C

Bunuel like the shortcut for getting "n" while solving both. I was trying to use a fraction to break the question stem
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Manager
Joined: 11 Mar 2012
Posts: 98
Location: United Kingdom
GMAT 1: 720 Q48 V40
GRE 1: 2170 Q800 V700
Followers: 1

Kudos [?]: 8 [0], given: 15

Re: Is n an integer? [#permalink]  08 Apr 2012, 07:25
thanks Bunuel!!!

i was taking into the realm of LCM's but couldnt get a headway. i.e., 1 and 2 cannot deduce the fact that n is an integer.

combining both of them together 2n and 3n is an integer, it would mean that 6n would be an integer but reached a block there again as it still doesnt prove n is an integer.

ur method is short and easy. thanks!!
Re: Is n an integer?   [#permalink] 08 Apr 2012, 07:25
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# Is n an integer?

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