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

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If r > 0 and s > 0, is r/s < s/r? [#permalink]

17 Aug 2010, 09:02

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

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

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Re: GMAT - PAPER TEST QUESTION [#permalink]

17 Aug 2010, 09:21

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.

Answer: D.
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Re: GMAT - PAPER TEST QUESTION [#permalink]

01 Nov 2010, 08:44

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cmugeria wrote:

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

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

Since r and s are both positive, we can simplify the inequality to r^2 < s^2, and by taking the square root of both sides, r < s.

(1) 4r = 3s
r = \frac{3}{4}s
So r < s. Sufficient.

(2) Since r = s - 4, r < s. Sufficient.

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Re: If R > 0 and S > 0, Is r/s < s/r? 1) r/3s =1/4 2) s [#permalink]

29 Nov 2011, 01:22

1. r/3s=1/4 so 3s = 4r , which is s>r - Sufficient
2. s=r+4 menas S>R - sufficient

Answer - D

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Re: If r > 0 and s > 0, is r/s < s/r? [#permalink]

29 Jan 2013, 09:04

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}
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Re: If r > 0 and s > 0, is r/s < s/r? [#permalink] 29 Jan 2013, 09:04

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

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

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