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

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Intern
Joined: 19 Jun 2009
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Are positive integers P , Q , and R equal? 1. P = Q 2. Q^2 = [#permalink]

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06 Nov 2009, 15:30
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Are positive integers P , Q , and R equal?

1. P = Q
2. Q^2 = R^2

***********************************************************
VP
Joined: 05 Mar 2008
Posts: 1469
Followers: 11

Kudos [?]: 277 [0], given: 31

Re: P Q and R [#permalink]

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06 Nov 2009, 17:14
amitgovin wrote:
Are positive integers P , Q , and R equal?

1. P = Q
2. Q^2 = R^2

***********************************************************

1. p = q we know nothing about r so insufficient
2. we know nothing about p so insufficient

together yes..the answer would be no if one can be a negative but the question states they are all positive

q^2 = r^2 q and r are positive so the numbers are the same..and p = q so they are all the same
Senior Manager
Joined: 16 Jul 2009
Posts: 256
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Kudos [?]: 371 [0], given: 3

Re: P Q and R [#permalink]

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07 Nov 2009, 11:50
I guess [C] is the only way to answer a Yes/No..
Manager
Joined: 24 Jul 2009
Posts: 73
Location: United States
GMAT 1: 590 Q48 V24
Followers: 2

Kudos [?]: 136 [0], given: 124

Re: P Q and R [#permalink]

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15 Nov 2009, 06:21
C, very easy unless somebody says there's a trick in this question.
Manager
Joined: 13 Aug 2009
Posts: 201
Schools: Sloan '14 (S)
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Kudos [?]: 110 [0], given: 16

Re: P Q and R [#permalink]

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15 Nov 2009, 06:56
Statement 1:
P=Q

We have no idea what the value of R is.

INSUFFICIENT

Statement 2:
Q^2 = R^2

We have no idea what the value of P is

INSUFFICIENT

Statement 1 and 2:

Because the problem states that the P, Q, and R are positive integers, we know that Q and R are positive integers.

Because we know the value of Q we must also know the value of P.

SUFFICIENT

(Note that Q^2 = R^2 would have made this INSUFFICIENT if the problem had not specifically mentioned that we were dealing with positive integers)

Re: P Q and R   [#permalink] 15 Nov 2009, 06:56
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# Are positive integers P , Q , and R equal? 1. P = Q 2. Q^2 =

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