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

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Senior Manager
Joined: 06 Jul 2006
Posts: 292
Location: SFO Bay Area
Schools: Berkeley Haas
Are positive integers P , Q , and R equal? 1. P = Q 2. Q^2 = [#permalink]

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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. $$Q^2 = R^2$$
CEO
Joined: 17 Nov 2007
Posts: 3584
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Re: Are positive integers P,Q, and R equal ? [#permalink]

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03 Mar 2008, 15:19
C

1&2 Because P,R,Q are positive integers $$Q^2=R^2$$ ==> $$Q=R$$ ==> $$Q=R=P$$ sufficient
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Director
Joined: 10 Sep 2007
Posts: 938
Re: Are positive integers P,Q, and R equal ? [#permalink]

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

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.

Current Student
Joined: 28 Dec 2004
Posts: 3357
Location: New York City
Schools: Wharton'11 HBS'12
Re: Are positive integers P,Q, and R equal ? [#permalink]

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

we know the integers are POSITIVE...from the stem
Director
Joined: 10 Sep 2007
Posts: 938
Re: Are positive integers P,Q, and R equal ? [#permalink]

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03 Mar 2008, 19:39
Sorry missed that positive thing . Mea Culpa.
CEO
Joined: 17 Nov 2007
Posts: 3584
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Re: Are positive integers P,Q, and R equal ? [#permalink]

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03 Mar 2008, 22:36
1
KUDOS
Expert's post
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.
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CEO
Joined: 29 Mar 2007
Posts: 2559
Re: Are positive integers P,Q, and R equal ? [#permalink]

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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.
Senior Manager
Joined: 06 Jul 2006
Posts: 292
Location: SFO Bay Area
Schools: Berkeley Haas
Re: Are positive integers P,Q, and R equal ? [#permalink]

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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.

Thanks again for pointing out.

+1
Manager
Joined: 12 Feb 2008
Posts: 179
Re: Are positive integers P,Q, and R equal ? [#permalink]

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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.

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
VP
Joined: 03 Apr 2007
Posts: 1342
Re: Are positive integers P,Q, and R equal ? [#permalink]

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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
VP
Joined: 03 Apr 2007
Posts: 1342
Re: Are positive integers P,Q, and R equal ? [#permalink]

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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.
Manager
Joined: 05 Feb 2007
Posts: 140
Re: Are positive integers P,Q, and R equal ? [#permalink]

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

I went with E, obviously it's a C.
Re: Are positive integers P,Q, and R equal ?   [#permalink] 06 Apr 2008, 17:53
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