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If p and q are positive integers, and the remainder obtained when p is

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If p and q are positive integers, and the remainder obtained when p is [#permalink]

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New post 17 Mar 2011, 00:27
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If p and q are positive integers, and the remainder obtained when p is divided by q is the same as the remainder obtained when q is divided by p, which of the following is a possible value of pq?

(A) 62
(B) 55
(C) 42
(D) 36
(E) 24
[Reveal] Spoiler: OA

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Kudos [?]: 1440 [0], given: 376

Re: If p and q are positive integers, and the remainder obtained when p is [#permalink]

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New post 17 Mar 2011, 00:37
I am not too sure on this. I guess it is possible only when p and q are both same. If they are both same, pq must be a perfect square.

36 is a perfect square.

Ans: "D"
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Kudos [?]: 293 [0], given: 123

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Re: If p and q are positive integers, and the remainder obtained when p is [#permalink]

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New post 17 Mar 2011, 00:56
62=2*31
55=5*11
42=2*21=6*7=3*14
24=2*12=3*8=4*6
36=2*18=3*12=4*9=6*6
hence D

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Kudos [?]: 162 [0], given: 13

Re: If p and q are positive integers, and the remainder obtained when p is [#permalink]

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New post 17 Mar 2011, 01:18
Answer should be D
Two numbers giving the same remainder when divided by each other should be same- and remainder zero. 36 only perfect square.
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Kudos [?]: 36 [0], given: 58

Re: If p and q are positive integers, and the remainder obtained when p is [#permalink]

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New post 23 Sep 2014, 03:25
Does anyone have an algebraic way to solve this?
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Re: If p and q are positive integers, and the remainder obtained when p is [#permalink]

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Re: If p and q are positive integers, and the remainder obtained when p is [#permalink]

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New post 21 Mar 2016, 09:45
Hey Bunuel here is my approach
could you help with this
here => the only condition that will make the scenario possible is when the numbers are equal
hence = D
Re: If p and q are positive integers, and the remainder obtained when p is   [#permalink] 21 Mar 2016, 09:45
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If p and q are positive integers, and the remainder obtained when p is

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