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If n and p are positive integers, is the ratio of n to p 2 : 1?

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Joined: 02 Sep 2009
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If n and p are positive integers, is the ratio of n to p 2 : 1? [#permalink]

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New post 22 Jan 2018, 23:16
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D
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Difficulty:

  65% (hard)

Question Stats:

29% (00:59) correct 71% (00:53) wrong based on 54 sessions

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Joined: 22 Mar 2017
Posts: 28
GMAT 1: 680 Q48 V35
If n and p are positive integers, is the ratio of n to p 2 : 1? [#permalink]

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New post 23 Jan 2018, 04:58
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Bunuel wrote:
If n and p are positive integers, is the ratio of n to p 2 : 1?

(1) \(n – p < 0\)
(2) \(np = 20\)





In other words, is \(\frac{n}{p}=2\) | \(n=2·p\) ?



We know that:

p and n are positive integers.




S1.

\(n-p<0\) implies that \(p>n\) since both are positive numbers.

As such, \(n=2·p\) cannot be possible and the answer is NO.


SUFF.




S2.

p is an integer so if we insert the condition that \(n=2·p\) and it is true p should result in an integer.

\(n·p=20\) | \(2·p^2=20\) | \(p=\sqrt{10}\) what is not an integer so the answer is NO.


SUFF.




AC: D



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If n and p are positive integers, is the ratio of n to p 2 : 1?   [#permalink] 23 Jan 2018, 04:58
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