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by rppala90 » Thu Aug 25, 2011 5:42 am
Is ( 1 / (a-b) ) < b-a ?

(1) a < b
(2) 1 < | a-b |

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by Frankenstein » Thu Aug 25, 2011 5:55 am
Hi,
Let x = a-b. So, the question becomes:
Is 1/x < -x ?
(1)x<0
(2)1<|x|
From(1):
x is negative. So, -1/x is positive. negative quantity is always less than positive.
Sufficient

From(2):
|x|>1 => x<-1 or x>1.
If x is negative, 1/x < -x
If x is positive, 1/x > -x
Not sufficient

Hence, A
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by prateek_guy2004 » Thu Aug 25, 2011 11:14 am
statement 1 sufficient 1/a-b, A< B Which makes to fraction negative..

Statement 2 Insufficient !A-B! Can be positive and negative.

IMO A

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