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

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Intern
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Joined: 24 Aug 2011
Posts: 6
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Kudos [?]: 1 [0], given: 1

Is x^2 < x-|y| ? 1) y>x 2) x<0 [#permalink] New post 28 Aug 2011, 01:19
1
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A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

27% (01:52) correct 73% (01:52) wrong based on 15 sessions
Is x^2 < x-|y| ?
1) y>x
2) x<0
Intern
Intern
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Status: IT industry - Project Manager
Affiliations: Rotary club and Company award
Joined: 12 Jun 2011
Posts: 14
Location: India
Schools: INSEAD, LBS, DUKE, ISB
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Kudos [?]: 1 [0], given: 0

Re: Doubtful [#permalink] New post 28 Aug 2011, 06:18
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.
Director
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Joined: 01 Feb 2011
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CAT Tests
Re: Doubtful [#permalink] New post 30 Aug 2011, 18:27
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

Answer is D.
Manager
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Re: Doubtful [#permalink] New post 30 Aug 2011, 23:45
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.


Hence answer is D.
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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
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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

Re: Doubtful   [#permalink] 30 Aug 2011, 23:45
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