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Inequality

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Source: — Data Sufficiency |
Junior | Next Rank: 30 Posts
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by SmartAssJun » Mon Aug 27, 2012 4:43 pm
das.ashmita wrote:Is (x−2)^2>x^2?
(1) x^2>x
(2) 1/x>0

OA : C
(x-2)^2>x^2 => x^2-4x+4>x^2 => -4x+4>0 => x-1<0 => x<1

(1) x^2>x => x^2-x>0, x(x-1)>0 => x<0 or x>1, not necessarily sufficient.

(2) 1/x>0 => x>0 not sufficient.
Both together => x>1 sufficient.
So the answer should be C.
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