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# If n ≠ 3 and 3m/n is a prime integer greater than 2

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If n ≠ 3 and 3m/n is a prime integer greater than 2 [#permalink]  08 Mar 2017, 04:34
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If n ≠ 3 and $$\frac{3m}{n}$$ is a prime integer greater than 2, then which of the following must be true?

1. m = n

2. n = 1

3. m and n are prime integers
[Reveal] Spoiler: OA

Last edited by IlCreatore on 26 Sep 2017, 06:38, edited 2 times in total.
Edited by Carcass
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Re: number theory question [#permalink]  08 Mar 2017, 06:01
Expert's post
We can check each option one by one.

1. If m = n so we can solve $$\frac{3m}{n} = 3$$ which is a prime number greater than 2.
2. If 2. n = 1 we can solve $$\frac{3m}{n} = 3m$$ which is NOT a prime number.
3. If m and n are prime integers then $$\frac{3m}{n}$$ is not an integer as $$n \neq 3$$.

PS: This is not a GRE question (at least format wise). Please refrain from posting non GRE questions in the forum.
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Re: number theory question [#permalink]  08 Mar 2017, 06:35
this is a gre question coming under "number theory,exponents,roots" got this problem from CL GRE papers
Re: number theory question   [#permalink] 08 Mar 2017, 06:35
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