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# If x and y are positive, which of the following must be

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Senior Manager
Joined: 05 Aug 2005
Posts: 410
If x and y are positive, which of the following must be [#permalink]

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22 Sep 2006, 22:50
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If x and y are positive, which of the following must be greater than 1/√(x+y)?
I. √(x+y)/2x,
II. (√x+√y)/(x+y)
III. (√x-√y)/(x+y)

Senior Manager
Joined: 11 May 2006
Posts: 258

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22 Sep 2006, 23:01
gmacvik wrote:
If x and y are positive, which of the following must be greater than 1/√(x+y)?
I. √(x+y)/2x,
II. (√x+√y)/(x+y)
III. (√x-√y)/(x+y)

I pick II

let x = y then we need to find which ones are greater than 1/√(2x)

now I = 1/√(2x)

II = 2√x/2x = 1/√x

III = 0
Director
Joined: 06 May 2006
Posts: 791

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22 Sep 2006, 23:49
Detailed discussion at http://www.gmatclub.com/phpbb/viewtopic.php?t=29474&highlight=

Yep its II.
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Uh uh. I know what you're thinking. "Is the answer A, B, C, D or E?" Well to tell you the truth in all this excitement I kinda lost track myself. But you've gotta ask yourself one question: "Do I feel lucky?" Well, do ya, punk?

22 Sep 2006, 23:49
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