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There are positive integers P, Q, and R. Are they all equal?

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There are positive integers P, Q, and R. Are they all equal? [#permalink] New post 31 Aug 2006, 19:48
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A
B
C
D
E

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1. There are positive integers P, Q, and R. Are they all equal?
(1) P = Q
(2) Q^2 = R^2



corrected.. thanks gmatt73

Last edited by gk3.14 on 01 Sep 2006, 14:34, edited 1 time in total.
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Re: PS - simple4 [#permalink] New post 31 Aug 2006, 20:13
gk3.14 wrote:
1. There are positive integers P, Q, and R. Are they all equal?
(1) P = Q
(2) Q^2 = R^2


assuming the above conditions:

Statement 1: No info about R ---> INSUFF

Statement 2: No info about P ---> INSUFF

Together, either Q or R could be -ive or the square root of a perfect square. INSUFF

(E)
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 [#permalink] New post 31 Aug 2006, 21:59
Also got E.

Both statements leave the possibility of P, Q and R being either -ve or +ve.
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 [#permalink] New post 31 Aug 2006, 22:48
E seems correct !

ST 1 P=Q says nothing about R
INSUFF

ST 2 Q^2 = R^2 implies Q = R or Q = -R
INSUFF

Combined is also INSUFF
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 [#permalink] New post 01 Sep 2006, 14:33
I thought E too.. This question is from the sample pdf at this site and the OE was

C. Statement (1) tells us that P and Q are equal, but nothing about R; not enough. Statement (2) tells us that Q and R are equal (they are both positive) not enough again.
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 [#permalink] New post 01 Sep 2006, 21:34
buzzgaurav wrote:
Also got E.

Both statements leave the possibility of P, Q and R being either -ve or +ve.


I got C. Question says all are +ve. So they must be equal if both statements are true.
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 [#permalink] New post 02 Sep 2006, 09:15
(C). Since all of them are positive, the values in (2) have to have to same sign.
  [#permalink] 02 Sep 2006, 09:15
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There are positive integers P, Q, and R. Are they all equal?

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