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# If P and Q are integers and P^Q

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Manager
Joined: 07 Jun 2017
Posts: 176
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
If P and Q are integers and P^Q [#permalink]

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09 Oct 2017, 02:32
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Difficulty:

45% (medium)

Question Stats:

57% (01:05) correct 43% (00:47) wrong based on 103 sessions

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If P and Q are integers and $$P^Q=16, |P-Q| = ?$$

1. Q is not equal to 1
2. P is positive
[Reveal] Spoiler: OA

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Regards,
Naveen
email: nkmungila@gmail.com
Please press kudos if you like this post

Math Expert
Joined: 02 Aug 2009
Posts: 5660
Re: If P and Q are integers and P^Q [#permalink]

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09 Oct 2017, 03:12
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nkmungila wrote:
If P and Q are integers and $$P^Q=16, |P-Q| = ?$$

1. Q is not equal to 1
2. P is positive

What all can be the values of P and Q..
P is 16 and Q =1...
P is 4, Q =2
P is -4, Q is 2
P is 2 and Q is 4
P is -2 and Q is 4

Let's see the statements
1) Q is not EQUAL to 1
There are four other cases..
|4-2|=2..
|-4-2|=6
Insufficient
2)p is positive
|4-2|=2
|16-1|=15
Insufficient

Combined
Only two cases
|4-2|=2
|2-4|=2
Ans is always 2
Sufficient

C
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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

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Re: If P and Q are integers and P^Q   [#permalink] 09 Oct 2017, 03:12
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