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# Is "N" a Integer if N^2 is a Integer? (OG11 DS #146 Spoiler)

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Manager
Affiliations: CFA L3 Candidate, Grad w/ Highest Honors
Joined: 03 Nov 2007
Posts: 131
Location: USA
Schools: Chicago Booth R2 (WL), Wharton R2 w/ int, Kellogg R2 w/ int
WE 1: Global Operations (Futures & Portfolio Financing) - Hedge Fund ($10bn+ Multi-Strat) WE 2: Investment Analyst (Credit strategies) - Fund of Hedge Fund ($10bn+ Multi-Strat)
Is "N" a Integer if N^2 is a Integer? (OG11 DS #146 Spoiler) [#permalink]

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15 Jul 2009, 19:26
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Hello all you GMAT lovers out there! Im a long time lurker, first time poster....I saw a question with the below and was a bit confused by it and was wondering if any of you smart people out there could lend me a helping had.

If N^2 is an integer wouldn't N have to be a Integer as well? I mean a fraction times itself would always be a fraction, so if N^2 is a intiger so should N, right? This is contradictory to what the OG is saying....

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

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Senior Manager
Joined: 04 Jun 2008
Posts: 285
Re: Is "N" a Integer if N^2 is a Integer? (OG11 DS #146 Spoiler) [#permalink]

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15 Jul 2009, 19:57
sqrt 3 is not an integer. Thats what is implied here. N could be the sqrt of an integer and still not an integer
Manager
Joined: 07 Apr 2009
Posts: 144
Re: Is "N" a Integer if N^2 is a Integer? (OG11 DS #146 Spoiler) [#permalink]

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16 Jul 2009, 07:31
I also had the exact same doubt ! Thanks for posting this..

Now its clarified.

the other way round is correct.

If N is an integer then $$N^2$$ should be an integer. Might be obvious but just mentioned here.
Manager
Affiliations: CFA L3 Candidate, Grad w/ Highest Honors
Joined: 03 Nov 2007
Posts: 131
Location: USA
Schools: Chicago Booth R2 (WL), Wharton R2 w/ int, Kellogg R2 w/ int
WE 1: Global Operations (Futures & Portfolio Financing) - Hedge Fund ($10bn+ Multi-Strat) WE 2: Investment Analyst (Credit strategies) - Fund of Hedge Fund ($10bn+ Multi-Strat)
Re: Is "N" a Integer if N^2 is a Integer? (OG11 DS #146 Spoiler) [#permalink]

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29 Jul 2009, 20:13

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

This is not a quality discussion. 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.
Re: Is "N" a Integer if N^2 is a Integer? (OG11 DS #146 Spoiler)   [#permalink] 29 Jul 2009, 20:13
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