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Are positive integers P , Q , and R equal? 1. P = Q 2. Q^2 =

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Are positive integers P , Q , and R equal? 1. P = Q 2. Q^2 = [#permalink]

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New post 03 Mar 2008, 15:02
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Are positive integers \(P\) , \(Q\) , and \(R\) equal?

1. \(P = Q\)
2. \(Q^2 = R^2\)

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Re: Are positive integers P,Q, and R equal ? [#permalink]

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New post 03 Mar 2008, 15:19
C

1. Nothing about R

2. Nothing about P

1&2 Because P,R,Q are positive integers \(Q^2=R^2\) ==> \(Q=R\) ==> \(Q=R=P\) sufficient
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Re: Are positive integers P,Q, and R equal ? [#permalink]

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New post 03 Mar 2008, 18:59
I differ with walker's explanation

Here is my answer.

Statement 1:
Tell us nothing about R, so insufficient.

Statement 2:
Tell us nothing about P, so insufficient.

Combining Both the statements:
Statement 2 tells us Q^2 = R^2 But that does not mean Q = R.
This means Q can be equal to + R or -R.

So If Q = R then P = Q = R
However if Q = -R, then equation does not hold true.

So Question cannot be answered, Answer E.

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Re: Are positive integers P,Q, and R equal ? [#permalink]

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New post 03 Mar 2008, 19:04
I would say C also..

we know the integers are POSITIVE...from the stem

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Re: Are positive integers P,Q, and R equal ? [#permalink]

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New post 03 Mar 2008, 19:39
Sorry missed that positive thing :-). Mea Culpa.

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Re: Are positive integers P,Q, and R equal ? [#permalink]

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New post 03 Mar 2008, 22:36
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abhijit_sen wrote:
Sorry missed that positive thing :-). Mea Culpa.


The favorite GMAT traps: integer, non-zero, prime numbers, positive, negative, consecutive, even, odd, even consecutive - all properties that crucially restrict the set of possible numbers. :wink:
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Re: Are positive integers P,Q, and R equal ? [#permalink]

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New post 04 Mar 2008, 09:17
suntaurian wrote:
Are positive integers \(P\) , \(Q\) , and \(R\) equal?

1. \(P = Q\)
2. \(Q^2 = R^2\)


Almost said E. C b/c the stem says they are + integers.

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Re: Are positive integers P,Q, and R equal ? [#permalink]

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New post 04 Mar 2008, 16:21
walker wrote:
abhijit_sen wrote:
Sorry missed that positive thing :-). Mea Culpa.


The favorite GMAT traps: integer, non-zero, prime numbers, positive, negative, consecutive, even, odd, even consecutive - all properties that crucially restrict the set of possible numbers. :wink:


Thanks again for pointing out.

+1 :)

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Re: Are positive integers P,Q, and R equal ? [#permalink]

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New post 04 Mar 2008, 18:37
suntaurian wrote:
walker wrote:
abhijit_sen wrote:
Sorry missed that positive thing :-). Mea Culpa.


The favorite GMAT traps: integer, non-zero, prime numbers, positive, negative, consecutive, even, odd, even consecutive - all properties that crucially restrict the set of possible numbers. :wink:


Thanks again for pointing out.

+1 :)



thank you as well for the question. sometimes we need even simple questins like this to reinforce the knowledge.
+1

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Re: Are positive integers P,Q, and R equal ? [#permalink]

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New post 04 Mar 2008, 21:08
suntaurian wrote:
Are positive integers \(P\) , \(Q\) , and \(R\) equal?

1. \(P = Q\)
2. \(Q^2 = R^2\)




1 Insuff. R unkown
2. Q = + or - R, P unkown ->Insuff
together

P=Q= + or - R Insuff

E

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Re: Are positive integers P,Q, and R equal ? [#permalink]

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New post 04 Mar 2008, 21:24
walker wrote:
goalsnr wrote:
suntaurian wrote:
Are positive integers \(P\) , \(Q\) , and \(R\) equal?

1. \(P = Q\)
2. \(Q^2 = R^2\)




1 Insuff. R unkown
2. Q = + or - R, P unkown ->Insuff
together

P=Q= + or - R Insuff

E


DUH!!

Walker thanks for pointing my silly mistake.

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Re: Are positive integers P,Q, and R equal ? [#permalink]

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New post 06 Apr 2008, 17:53
Man! Great question. What I would call a "reverse trap".

I went with E, obviously it's a C.

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Re: Are positive integers P,Q, and R equal ?   [#permalink] 06 Apr 2008, 17:53
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