Is n an integer? 1. n^2 is an integer 2. n^(1/2) is an : DS Archive
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# Is n an integer? 1. n^2 is an integer 2. n^(1/2) is an

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Senior Manager
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Is n an integer? 1. n^2 is an integer 2. n^(1/2) is an [#permalink]

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13 Jun 2008, 11:45
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Is n an integer?

1. n^2 is an integer
2. n^(1/2) is an integer
Director
Joined: 14 Oct 2007
Posts: 758
Location: Oxford
Schools: Oxford'10
Followers: 15

Kudos [?]: 214 [0], given: 8

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13 Jun 2008, 11:50
vksunder wrote:
Is n an integer?

1. n^2 is an integer
2. n^(1/2) is an integer

1) is not sufficient (consider n = sqrt(2))

2) sqrt(n) is an integer

so n = integer^2

so n = integer

sufficient

B
Senior Manager
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13 Jun 2008, 12:14

You've picked the right answer. But, I dont understand the rationale for statement 1.

Statement 1 says n^2 = integer. To test this statement, you'd have to pick a value that satisfies the condition, correct. For eg you cannot select 2, 3, or 5 as n since they will not be an integer. Makes sense?
Senior Manager
Joined: 10 Mar 2008
Posts: 371
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13 Jun 2008, 12:18
Never mind - I got it. I wasnt thinking straight.
Director
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13 Jun 2008, 12:20
vksunder wrote:
Never mind - I got it. I wasnt thinking straight.

happens to all of us, yesterday i couldnt do simple algebra

i call them the G-remlins

 it never happens to walker, he is the quant god, and gods don't make mistakes
Re: DS: Number properties   [#permalink] 13 Jun 2008, 12:20
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