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If p and q are integers, is p^q >1 ? (1) pq < 0 (2) q^p < 1

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Joined: 02 Oct 2017
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If p and q are integers, is p^q >1 ? (1) pq < 0 (2) q^p < 1  [#permalink]

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New post Updated on: 02 Oct 2018, 06:07
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Difficulty:

  65% (hard)

Question Stats:

47% (01:47) correct 53% (02:32) wrong based on 19 sessions

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If p and q are integers, is p^q >1


(1) pq < 0

(2) q^p < 1

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Originally posted by push12345 on 02 Oct 2018, 05:28.
Last edited by Bunuel on 02 Oct 2018, 06:07, edited 1 time in total.
Renamed the topic and edited the question.
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Posts: 6967
Re: If p and q are integers, is p^q >1 ? (1) pq < 0 (2) q^p < 1  [#permalink]

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New post 02 Oct 2018, 05:45
If p and q are integers, is p^q >1?

When will this happen :- when p>1 and q>0 or even when q is even >0 and p^2>1

i)pq<0
p and q are of OPPOSITE signs..
p is 3 and q<0...ans will be NO as 3^(-1)=1/3<1
If p -2 and q is 2... Ans will be yes
Insufficient

ii)q^p<1
Same example as in statement I
Insuff

Combined
Same examples remain
Insufficient

E
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: If p and q are integers, is p^q >1 ? (1) pq < 0 (2) q^p < 1 &nbs [#permalink] 02 Oct 2018, 05:45
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