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# number prop - Am I losing my mind or is this ques wrong

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number prop - Am I losing my mind or is this ques wrong [#permalink]  21 Jul 2011, 06:08
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Question Stats:

61% (01:26) correct 38% (01:16) wrong based on 3 sessions
If n is a multiple of 5 and n= (p(square))*q, where p and q are prime numbers, which of the following must be a multiple of 25?

p(square)

q(square)

pq

q(square)*q(square)

p(cube)*q
[Reveal] Spoiler: OA

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Re: number prop - Am I losing my mind or is this ques wrong [#permalink]  21 Jul 2011, 11:44
DeepGagan wrote:
If n is a multiple of 5 and n= (p(square))*q, where p and q are prime numbers, which of the following must be a multiple of 25?

p(square)

q(square)

pq

q(square)*q(square)

p(cube)*q

As n is a multiple of 5, where p and q are both prime. so any one of them must be 5, but not sure which one. so if n needs to be a multiple of 25 then (p^2)*(q^2) must be the answer.

But i don't see my answer as any option unless D is a typo.
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Re: number prop - Am I losing my mind or is this ques wrong [#permalink]  21 Jul 2011, 22:10
D should be (p^2)*(q^2) I think, and is the correct answer
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Re: number prop - Am I losing my mind or is this ques wrong [#permalink]  22 Jul 2011, 04:47
yup you are right - This was a typo error and psq*qsq was a typo on my end. I totally missed this question and was losing my mind
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MGMAT1 Q48 V35 680
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GMATPREP1 Q49 V43 730
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Re: number prop - Am I losing my mind or is this ques wrong [#permalink]  22 Jul 2011, 04:55
n=p^2 q
n= 5^2 * 7 or
n= 7^2 * 5

Only way n can be multiple of 25 is if we have two 5 in n. Only way to get two five is to square p and q. hence that way it doesn't matter if p=5 or q=5. Squaring both will MUST be a multiple of 25.

OA D.
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Re: number prop - Am I losing my mind or is this ques wrong [#permalink]  22 Jul 2011, 07:11
This is a GMAT Prep question...Would it be possible for you to change the title to "GMAT Prep Question" so that the scores do not inflate for those who have yet to take the gmat prep test?
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Re: number prop - Am I losing my mind or is this ques wrong   [#permalink] 22 Jul 2011, 07:11
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