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# Is the integer n greater than 3?

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Math Expert
Joined: 02 Sep 2009
Posts: 52294
Is the integer n greater than 3?  [#permalink]

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21 May 2017, 10:21
00:00

Difficulty:

25% (medium)

Question Stats:

71% (00:47) correct 29% (00:47) wrong based on 49 sessions

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Is the integer n greater than 3?

(1) 2n is a positive integer.
(2) $$\sqrt{n}$$ is an integer

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Manager
Joined: 24 Dec 2016
Posts: 96
Location: India
Concentration: Finance, General Management
WE: Information Technology (Computer Software)
Re: Is the integer n greater than 3?  [#permalink]

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21 May 2017, 22:06
Bunuel wrote:
Is the integer n greater than 3?

(1) 2n is a positive integer.
(2) $$\sqrt{n}$$ is an integer

Stmt 1 : 2n > 0
=> n > 0.
N can be 1/2/3 or 4 and greater, Not Sufficient.

Stmt 2 : $$\sqrt{n}$$ is an Integer. N can be 1 or 100. Not sufficient.

Combining, n > 0 and a perfect square. Can be 1 or 100. Not sufficient. Should be E.
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Location: India
Re: Is the integer n greater than 3?  [#permalink]

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22 May 2017, 04:10
Statement 1. 2n is a positive integer.
if 2n > 0 then n>0
So we get that n is a positive integer but nothing else. Insufficient.

Statement 2. If square root of n is an integer, then n is a perfect square.
n could be: 0, 1, 4, 9, 16, 25,...
of which some values are less than 3 and others are not. Insufficient.

Lets combine the two statements. We get that n >0 and n is a perfect square.
So n could be: 1, 4, 9, 16, 25,...
Of which 1 is less than 3 but all other values are greater than 3. Still Insufficient.

Re: Is the integer n greater than 3? &nbs [#permalink] 22 May 2017, 04:10
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