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Is n an integer? (1) n^2 is an integer (2) n^(1/2) is an [#permalink]
 31 Aug 2010, 14:04
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Is n an integer? (1) n^2 is an integer (2) n^(1/2) is an integer
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Last edited by Bunuel on 05 Apr 2012, 03:48, edited 1 time in total.
Edited the question and added the OA
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Moderator
Status: battlecruiser, operational...
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oh wow. i feel dumb now. for some reason i was thinking something else. tricky tricky. thx. +1 kudo's good sir.
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Re: OG 11th edition [#permalink]
12 Dec 2011, 13:31
Answer is indeed B.
stmt 1: says that n^2 is an integer. So n could be 4, which n^16 or n could be 5.477 and n^2 would be 30. This gives us two different options so insuff
stmt 2: says that sqrt n is an integer. that means n is the square of an (or integer x integer) which will always give you an integer. suff
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Re: OG 11th edition [#permalink]
23 Dec 2011, 01:16
Is n an integer?
(1) n^2 is an integer
(2) sqrt(n) is an integer
S1: If n^2 is an integer, is n an integer?
Is n rational or irrational?
If rational, then n can be expressed as p/q,
where p and q are non-zero integers.
Further, if n^2 = (p/q)^2 is an integer, n = p/q is an integer.
If irrational, then n could be the non-integer square root of an integer, whose square is an integer.
S2: An integer multiplied by another integer is an integer.
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Is n an integer?
1. n^2 is an integer
2. \sqrt{n} is an integer
I do not understand the official guide's explanation on how to solve this question, can an expert here help me.
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GMAT Club team member
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Re: is n an integer? [#permalink]
05 Apr 2012, 03:51
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Re: Is n an integer? (1) n^2 is an integer (2) n^(1/2) is an [#permalink]
05 Apr 2012, 04:31
Thank you for the explanations. I know have an understanding of the question.
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Re: Is n an integer? (1) n^2 is an integer (2) n^(1/2) is an
[#permalink]
05 Apr 2012, 04:31
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close
