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# If (a - b)/c < 0, is a > b?

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Math Expert
Joined: 02 Sep 2009
Posts: 58445
If (a - b)/c < 0, is a > b?  [#permalink]

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11 Aug 2017, 01:45
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Difficulty:

25% (medium)

Question Stats:

85% (01:35) correct 15% (01:38) wrong based on 59 sessions

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If $$\frac{(a - b)}{c} < 0$$, is $$a > b$$?

(1) $$c < 0$$

(2) $$a + b < 0$$

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Joined: 02 Jul 2017
Posts: 289
Concentration: Entrepreneurship, Technology
GMAT 1: 730 Q50 V38
Re: If (a - b)/c < 0, is a > b?  [#permalink]

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11 Aug 2017, 02:41
Given (a-b)/c <0
so
either a-b <0 and c>0
or c<0 and a-b>0

we need to check if a>b ?

1) Given c<0, therefore a-b>0 => a>b Sufficient

2) a+b<0

this implies either a>b or b>a Not sufficent

a=-10 b=5 => a+b < 0 and a<b => a-b <0
a=2 b= -10 => a+b<0 and a>b => a-b >0

Therefore Not sufficient

Re: If (a - b)/c < 0, is a > b?   [#permalink] 11 Aug 2017, 02:41
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