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# If n and p are positive integers, what is the ratio of n to p?

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Math Expert
Joined: 02 Sep 2009
Posts: 58449
If n and p are positive integers, what is the ratio of n to p?  [#permalink]

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03 May 2017, 04:44
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Difficulty:

15% (low)

Question Stats:

77% (01:00) correct 23% (01:19) wrong based on 142 sessions

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If n and p are positive integers, what is the ratio of n to p?

(1) n – p = –4
(2) n^3/p^3 = 27

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Re: If n and p are positive integers, what is the ratio of n to p?  [#permalink]

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03 May 2017, 06:02
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1
Bunuel wrote:
If n and p are positive integers, what is the ratio of n to p?

(1) n – p = –4
(2) n³/p³ = 27

Target question: What is the ratio of n to p?
In other words, what is the value of n/p?

Given: n and p are positive integers

Statement 1: n – p = –4
There are several values of n and p that satisfy statement 1. Here are two:
Case a: n = 1 and p = 5, in which case n/p = 1/5
Case b: n = 2 and p = 6, in which case n/p = 2/6 = 1/3
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: n³/p³ = 27
n³/p³ = 27
So, (n/p)³ = 3³
So, n/p = 3
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Cheers,
Brent
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Re: If n and p are positive integers, what is the ratio of n to p?  [#permalink]

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03 May 2017, 05:47
stat 1: n-p = -4 ,,several combinations of n and p possible

stat 2: take the cube root on both lhs and rhs,,, we have the answer..

ans B
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Re: If n and p are positive integers, what is the ratio of n to p?  [#permalink]

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21 Mar 2019, 15:16
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Re: If n and p are positive integers, what is the ratio of n to p?   [#permalink] 21 Mar 2019, 15:16
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