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gmat Prep Q ... help please

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Manager
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Joined: 22 Feb 2009
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Schools: Kellogg (R1 Dinged),Cornell (R2), Emory(Interview Scheduled), IESE (R1 Interviewed), ISB (Interviewed), LBS (R2), Vanderbilt (R3 Interviewed)
gmat Prep Q ... help please [#permalink]

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New post 05 Jul 2009, 12:17
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gmat Prep Q

If 0 < r < 1 < s < 2 which must be less than 1?

r⁄s
rs
s – r


a. I
b. II
c. III
d. I and II
e. I and III

Plz explain reasons for II. (Y/N)

Kudos [?]: 147 [0], given: 10

Manager
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Joined: 30 May 2009
Posts: 216

Kudos [?]: 129 [0], given: 0

Re: gmat Prep Q ... help please [#permalink]

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New post 05 Jul 2009, 19:56
If 0 < r < 1 < s < 2 which must be less than 1?

r⁄s
rs
s – r


a. I
b. II
c. III
d. I and II
e. I and III


I think answer should be (A).

r/s must be less than 1 because r<s and hence r/s must be less than 1.
rs may or may not less than 1 because take for example r=0.9 and s=1.1, then rs = .99 < 1.
but take for example r=0.9 and s=1.9, then rs=1.71 > 1.
s-r can be less than 1 or not. 1.9 - 0.9 = 1 is not less than 1

Hence only I is true. What is the OA?

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Senior Manager
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Joined: 23 Jun 2009
Posts: 360

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Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Re: gmat Prep Q ... help please [#permalink]

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New post 06 Jul 2009, 01:00
Only I. Explanation is true.

Kudos [?]: 133 [0], given: 80

Re: gmat Prep Q ... help please   [#permalink] 06 Jul 2009, 01:00
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