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

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

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20 Oct 2006, 17:21
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
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20 Oct 2006, 20:59
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.
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20 Oct 2006, 23:23
What if x and y are fractions???????

My ans is A. NONE..........
(.tho I am very much inclined towards C.)
Senior Manager
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21 Oct 2006, 03:34
Senior Manager
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21 Oct 2006, 03:35
Intern
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21 Oct 2006, 06:57
The OA is c as pointed out by brufarber.
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21 Oct 2006, 07:01
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, 07:01
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