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# Question 8 GMAT CLUB EXAM 13

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SVP
Joined: 29 Aug 2007
Posts: 2473
Re: Question 8 GMAT CLUB EXAM 13 [#permalink]

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27 May 2009, 08:21
mxb908 wrote:
The question states the following

Is rs/(r+s)>1/2

1. r>1 and s>1
2. r>2 and s>0

I rephrased the question to ask me the following:
2rs>r+s or,
r+s-2rs<0
So basically i was solving for if the r + S - 2rs <0 ?

OA is A

Statement 1 is sufficient if you plug any +ve numbers the result will be -ve, thus implying that the statement is definitively true

Statement 2 is sufficient as per my analysis, but as per the Gmat club explanation it is not sufficient. Could someone please explain me as to where i could be going wrong.

thanks so much,
Best,

There is nothing you can do other than plug-in.

The question is: Is 2rs > r+s ?

Statement 2) r>2 and s>0

Lets assume if r = 300, s = 0.05
2rs > r+s ?
2rs = 2x0.05x300 = 30
r+s = 300+ 0.05 = 300.05
2rs < r+s. so the given statement is not true.

Lets assume differently if r = 300, s = 1
2rs > r+s ?
2rs = 2x1x300 = 600
r+s = 300+1 = 301
2rs > r+s. so the given statement is true.

Therefore 2 is not suff.
statement 1 is suff.
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Re: Question 8 GMAT CLUB EXAM 13   [#permalink] 27 May 2009, 08:21
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# Question 8 GMAT CLUB EXAM 13

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