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

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Intern
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If x and y are positive, which of the following must be [#permalink]  20 Oct 2006, 16:21
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 only
c.) II only
d.) I and III only
e.) II and III
Manager
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Re: Quant Question [#permalink]  20 Oct 2006, 19:59
C) II only

Plug in 2=x 2=y; or 1=x 3=y and you will come to this answer in less than 40 secs.
Manager
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What if x and y are fractions???????

My ans is A. NONE..........
(.tho I am very much inclined towards C.)
Director
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Director
Joined: 01 Oct 2006
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Kudos [?]: 18 [0], given: 0

Intern
Joined: 05 Mar 2006
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The OA is c as pointed out by brufarber.
Manager
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girikorat wrote:
What if x and y are fractions???????

My ans is A. NONE..........
(.tho I am very much inclined towards C.)

Try with fractions (1/2 - .5 ) and you will come to the same conclusion, II holds.
)   [#permalink] 21 Oct 2006, 06:01
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