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Re: GMAT - PAPER TEST QUESTION [#permalink]
17 Aug 2010, 08:21

Expert's post

2

This post was BOOKMARKED

If r > 0 and S > 0, Is r/s < s/r?

Is \frac{r}{s}<\frac{s}{r}?

(1) \frac{r}{3s}=\frac{1}{4} --> \frac{r}{s}=\frac{3}{4}, so \frac{s}{r}=\frac{4}{3} --> \frac{r}{s}=\frac{3}{4}<\frac{4}{3}=\frac{s}{r} thus answer to the question is YES. Sufficient.

(2) s=r+4 --> so s>r as given that r>0 --> s>r>0 --> \frac{s}{r}>1>\frac{r}{s}, thus answer to the question is YES. Sufficient.

Re: If r > 0 and s > 0, is r/s < s/r? [#permalink]
29 Jan 2013, 08:04

cmugeria wrote:

If r > 0 and s > 0, is r/s < s/r?

(1) r/(3s) = 1/4 (2) s = r + 4

For 1 --- \frac{r}{s}= 3/4we can deduce from this

From 2.... s = r+4

substituting this in the question---

\frac{r}{4+r}<\frac{4+r}{r} _________________

I've failed over and over and over again in my life and that is why I succeed--Michael Jordan Kudos drives a person to better himself every single time. So Pls give it generously Wont give up till i hit a 700+

Re: If r > 0 and s > 0, is r/s < s/r? [#permalink]
01 Sep 2013, 13:09

First I restated the problem since we are given r and s are greater than 0 --> therefore, the question can be solved by answering whether or not r^2<s^2.

(1) r = (3/4)s [r<s, so r^2 < s^2] Sufficient AD/BCE - elminate BCE (3) s = r + 4 [r<s, so r^2 < s^2] Sufficent - elminate A ... answered D

Re: If r > 0 and s > 0, is r/s < s/r? [#permalink]
01 Oct 2014, 04:30

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