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Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient EACH statement ALONE is sufficient Statements (1) and (2) TOGETHER are NOT sufficient
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Want to improve your CR: http://gmatclub.com/forum/cr-methods-an-approach-to-find-the-best-answers-93146.html Tricky Quant problems: http://gmatclub.com/forum/50-tricky-questions-92834.html Important Grammer Fundamentals: http://gmatclub.com/forum/key-fundamentals-of-grammer-our-crucial-learnings-on-sc-93659.html

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient EACH statement ALONE is sufficient Statements (1) and (2) TOGETHER are NOT sufficient

IMHO D

Statement 2: Is rs/(r+s)>1/2 >>>> Is rs/(r+s)-1/2 >0 >>>> Is (2*r*s-(r+s))/(r+s) >0 Now given r and s both are positive...so r+s is positive >>> so denominator is positive.. lets have a look at numerator

so the question becomes Is (2*r*s-(r+s)) >0 Is 2rs + (r-s) > 0 Now |2rs| will be greater than |s-r|, So 2rs + (r-s) > 0. Sufficient

Statement 1: Same way as mentioned above, this statement is sufficient.

Try this: S2. If r=2.1 and y=0.1, then rs=0.21 and r+s=2.2 So, rs/(r+s)=0.21/2.2 < 1/2

What if r=4 and y=8, then rs=32 and r+s=12 So, rs/(r+s)=32/12 > 1/2

So, Insuff.

Well, I just figured out that for r>1 and s>1 this expression holds true.

nverma wrote:

ykaiim wrote:

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

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

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient EACH statement ALONE is sufficient Statements (1) and (2) TOGETHER are NOT sufficient

IMHO D

Statement 2: Is rs/(r+s)>1/2 >>>> Is rs/(r+s)-1/2 >0 >>>> Is (2*r*s-(r+s))/(r+s) >0 Now given r and s both are positive...so r+s is positive >>> so denominator is positive.. lets have a look at numerator

so the question becomes Is (2*r*s-(r+s)) >0 Is 2rs + (r-s) > 0 Now |2rs| will be greater than |s-r|, So 2rs + (r-s) > 0. Sufficient

Statement 1: Same way as mentioned above, this statement is sufficient.

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Want to improve your CR: http://gmatclub.com/forum/cr-methods-an-approach-to-find-the-best-answers-93146.html Tricky Quant problems: http://gmatclub.com/forum/50-tricky-questions-92834.html Important Grammer Fundamentals: http://gmatclub.com/forum/key-fundamentals-of-grammer-our-crucial-learnings-on-sc-93659.html

St. 1 : the value of \(\frac{rs}{r+s}\) is always > 1/2 --> suff St. 2 : For some values of r and s, the fraction is < 1/2 and for some > 1/2 --> insuff

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