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If a, b, and c are different integers, is (a − b)^c > 0 ?

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Joined: 02 Sep 2009
Posts: 47184
If a, b, and c are different integers, is (a − b)^c > 0 ?  [#permalink]

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New post 28 Nov 2017, 23:29
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

52% (01:01) correct 48% (01:07) wrong based on 56 sessions

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Senior Manager
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Joined: 09 Mar 2017
Posts: 457
Location: India
Concentration: Marketing, Organizational Behavior
WE: Information Technology (Computer Software)
If a, b, and c are different integers, is (a − b)^c > 0 ?  [#permalink]

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New post 29 Nov 2017, 00:52
1
1
imo D

question basically asks is \((a − b)^c\) positive?
1)b<a means (a-b) is positive
=> positive number to the power of c (irrespective of sign of c) is positive
example: \(2^(-2)\) = 0.25
S, \((a − b)^c\) is positive
sufficient

2) c = even
(a − b)^c [/m] is positive irrespective of the sign of (a-b)
example: \(-3^(-2)\)= 9
sufficient

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If a, b, and c are different integers, is (a − b)^c > 0 ? &nbs [#permalink] 29 Nov 2017, 00:52
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