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

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Joined: 17 Oct 2006
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If x and y are positive, which of the following must be [#permalink]  03 Dec 2006, 05:08
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If x and y are positive, which of the following must be greater than 1/sqrt(x+y)

I) sqrt(x+y)/2x
II) (sqrt(x)+sqrt(y))/(x+y)
III) (sqrt(x)-sqrt(y))/(x+y)

A) None
B) I
C) II
D) I and III
E) II and III
VP
Joined: 21 Aug 2006
Posts: 1026
Followers: 1

Kudos [?]: 20 [0], given: 0

Re: PS - GMAT Prep [#permalink]  03 Dec 2006, 06:00
arjsingh1976 wrote:
If x and y are positive, which of the following must be greater than 1/sqrt(x+y)

I) sqrt(x+y)/2x
II) (sqrt(x)+sqrt(y))/(x+y)
III) (sqrt(x)-sqrt(y))/(x+y)

A) None
B) I
C) II
D) I and III
E) II and III

Took x as 9, y as 16.

Only I and II remain correct.

Took x as 16, y as 9

Only II remains valid.

_________________

The path is long, but self-surrender makes it short;
the way is difficult, but perfect trust makes it easy.

Re: PS - GMAT Prep   [#permalink] 03 Dec 2006, 06:00
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