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# Is x^2 < x-|y| ? 1) y>x 2) x<0

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Intern
Joined: 24 Aug 2011
Posts: 6

Kudos [?]: 3 [0], given: 1

Is x^2 < x-|y| ? 1) y>x 2) x<0 [#permalink]

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28 Aug 2011, 02:19
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Question Stats:

38% (00:52) correct 63% (01:52) wrong based on 35 sessions

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Is x^2 < x-|y| ?
1) y>x
2) x<0

Kudos [?]: 3 [0], given: 1

Intern
Status: IT industry - Project Manager
Affiliations: Rotary club and Company award
Joined: 12 Jun 2011
Posts: 14

Kudos [?]: 2 [0], given: 0

Location: India

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28 Aug 2011, 07:18
it should be D.
1) Since Y is greater than x, so x-|y| will mean that it is negative. and x^2 is always positive and hence definite answer.
2) Since x< 0 LHS is +ve and RHS is -ve. Definite answer.

Kudos [?]: 2 [0], given: 0

Director
Joined: 01 Feb 2011
Posts: 726

Kudos [?]: 143 [0], given: 42

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30 Aug 2011, 19:27
is x^2< x- y? when y>=0

is x^2<x+y? when y<0

1. Sufficient

y>x

when y>=0 , y>x

=>x-y<0 and x^2 is always positive . No

when y<0 , x<y<0

=> x+y<0 and x^2 is always positive . No

2. Sufficient
x<0
=> x-|y|<0 as |y| is always positive

x^2<x-|y|? No

Kudos [?]: 143 [0], given: 42

Manager
Joined: 20 Nov 2010
Posts: 214

Kudos [?]: 41 [0], given: 38

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31 Aug 2011, 00:45
St1: y> x => x - |y| is always -ve .
But x^2 >= 0 Hence we have a definitive answer i.e x^2 < x - |y| is false.

St2: x < 0 => x - |y| => -ve - ( +ve) => -ve
But x^2 >=0 Hence we have a definitive answer i.e x^2 < x - |y| is false.

_________________

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
MGMAT 6 650 (51,31) on 31/8/11
MGMAT 1 670 (48,33) on 04/9/11
MGMAT 2 670 (47,34) on 07/9/11
MGMAT 3 680 (47,35) on 18/9/11
GMAT Prep1 680 ( 50, 31) on 10/11/11

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CR notes
http://gmatclub.com/forum/massive-collection-of-verbal-questions-sc-rc-and-cr-106195.html#p832142
http://gmatclub.com/forum/1001-ds-questions-file-106193.html#p832133
http://gmatclub.com/forum/gmat-prep-critical-reasoning-collection-106783.html
http://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html
http://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html?hilit=chineseburned

Kudos [?]: 41 [0], given: 38

Re: Doubtful   [#permalink] 31 Aug 2011, 00:45
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