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# If 0 < r < 1 < s < 2, which of the following

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Manager
Joined: 17 Aug 2006
Posts: 87
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If 0 < r < 1 < s < 2, which of the following [#permalink]

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09 Aug 2007, 12:01
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If 0 < r < 1 < s < 2, which of the following must be less than 1?

I. r/s

II. rs

III. s - r

I ONLY
II ONLY
III ONLY
I & II
I & III
Director
Joined: 12 Jul 2007
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09 Aug 2007, 12:10
I get I only for this one.

II. .9*1.9 or 9/10 * 19/10 = 171/100 = 1.71 > 1

III. 1.9 - .1 = 1.8

but the only way to divide a number and get something larger is to divide by a fraction less than one (since we aren't dealing with negatives here, dividing a negative by a negative is a moot issue). Since r is always less than 1 and s is always greater than 1 there is nothing r can do but get smaller...which will always be less than one.
09 Aug 2007, 12:10
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