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must be less than 1 (GMAT Prep 1)

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by alex.gellatly » Sun Jul 15, 2012 12:47 am
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 and II
I and III

Thanks
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by Anurag@Gurome » Sun Jul 15, 2012 1:04 am
Refer to the following posts >> https://www.beatthegmat.com/which-of-the ... tml#349374
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by GMATGuruNY » Sun Jul 15, 2012 2:36 am
alex.gellatly wrote: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 and II
I and III

Thanks
Try to DISPROVE the answer choices by showing that they can be EQUAL to one.

II. rs < 1.
If r = 2/3 and s = 3/2, rs = 2/3 * 3/2 = 1.
Eliminate any answer choice that includes II.
Eliminate B and D.

III. s-r < 1.
If s = 3/2 and r = 1/2, s-r = 3/2 - 1/2 = 1.
Eliminate any answer choice that includes III.
Eliminate C and E.

The correct answer is A.
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