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Frankenstein: Legendary Member; Posts: 1448; Joined: Tue May 17, 2011 9:55 am; Location: India; Thanked: 375 times; Followed by:53 members

by Frankenstein » Wed Jun 01, 2011 1:20 am

Hi,
From(1): x-y=1/2.
x= 1,y= 1/2 will satisfy
x= -1/2,y= -1 will satisfy
Insufficient
From(2) : x/y>1
x and y have to be of the same sign
Insufficient
Combining:x=y+1/2
x/y>1 =>(y+1/2)/y>1 => 1+2/y>1. So, 2/y must be positive => y is positive. As x=y+1/2. x is also positive
Sufficient

Hence, C

Cheers!

Things are not what they appear to be... nor are they otherwise

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cans: Legendary Member; Posts: 1309; Joined: Mon Apr 04, 2011 5:34 am; Location: India; Thanked: 310 times; Followed by:123 members; GMAT Score:750

by cans » Wed Jun 01, 2011 1:23 am

a)2x-2y=1 or x-y=1/2
x,y can be +ve or -ve. (x=1.5,y=1 or x=-1,y=-1.5)
insufficient.
b)x/y>1
x,y can be +ve or -ve. (x=1.5,y=1 or x=-1.5,y=-1)
insufficient.
a&b) x=1/2+y
(1/2+y)/y>1 or 1/2y>0 or y>0
As y>0, x>0 and sufficient.
IMO C

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sameerballani: Legendary Member; Posts: 544; Joined: Mon Dec 27, 2010 8:10 am; Thanked: 45 times; Followed by:2 members

by sameerballani » Wed Jun 01, 2011 1:27 am

Thanks !!

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g.shankaran: Master | Next Rank: 500 Posts; Posts: 101; Joined: Tue Oct 27, 2009 8:19 am; Thanked: 4 times; Followed by:2 members

by g.shankaran » Wed Jun 01, 2011 6:57 am

sameerballani wrote:Q)Are both x and y positive?
1) 2x - 2y = 1
2) x/y > 1

OA:C

Thanks

You can find the explanations here
https://www.beatthegmat.com/gmat-prep-x- ... tml#369410

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