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# If PQ > 0 and |P|^Q = 1, then what is the value of P?

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Intern
Joined: 16 Apr 2017
Posts: 45
If PQ > 0 and |P|^Q = 1, then what is the value of P?  [#permalink]

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17 Jul 2017, 09:06
1
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Difficulty:

65% (hard)

Question Stats:

37% (01:31) correct 63% (00:59) wrong based on 46 sessions

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If PQ > 0 and |P|^Q = 1, then what is the value of P?
1) |P|=P
2) |Q|=Q

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Intern
Joined: 03 Oct 2016
Posts: 12
GMAT 1: 550 Q42 V25
Re: If PQ > 0 and |P|^Q = 1, then what is the value of P?  [#permalink]

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17 Jul 2017, 09:19
I would say E is the answer, since P and Q could be either positive or negative. P could be 1 or any other number, Q could be 0 or 1 (in case P is 1) - hence both statements don't help determining the exact value

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Math Expert
Joined: 02 Aug 2009
Posts: 7686
Re: If PQ > 0 and |P|^Q = 1, then what is the value of P?  [#permalink]

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17 Jul 2017, 09:20
Supermaverick wrote:
If PQ > 0 and |P|^Q = 1, then what is the value of P?
1) |P|=P
2) |Q|=Q

Hi..

WHAT does PQ>0 mean..
both P and Q are of SAME sign
None is 0

WHAT does $$|P|^Q=1$$ mean..
Either P is 1 or -1.. OR Q is 0

lets see the statements..
1) |P|=P
this means P is POSITIVE or 0..
But P is not 0, so P is positive and hence 1
suff

2) |Q|=Q
this means Q is POSITIVE or 0..
But Q is not 0, so Q is positive and
hence P is also positive since PQ>0, so P=1
suff

D
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Math Expert
Joined: 02 Aug 2009
Posts: 7686
Re: If PQ > 0 and |P|^Q = 1, then what is the value of P?  [#permalink]

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17 Jul 2017, 09:21
drexxie wrote:
I would say E is the answer, since P and Q could be either positive or negative. P could be 1 or any other number, Q could be 0 or 1 (in case P is 1) - hence both statements don't help determining the exact value

Gesendet von iPhone mit GMAT Club Forum

HI,
Neither P nor Q can be 0, so rework your solution

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Re: If PQ > 0 and |P|^Q = 1, then what is the value of P?   [#permalink] 17 Jul 2017, 09:21
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