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must be less than 1

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Current Student
Joined: 20 Dec 2010
Posts: 182
Location: India
Concentration: Strategy, General Management
GMAT 1: 760 Q50 V42
WE: Information Technology (Computer Software)
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Kudos [?]: 23 [1] , given: 118

must be less than 1 [#permalink]  20 Mar 2011, 03:04
1
KUDOS
00:00

Difficulty:

5% (low)

Question Stats:

64% (01:00) correct 36% (01:08) wrong based on 11 sessions
if 0<r<1<s<2, which of the following must be less than 1?

I. r/s
II. rs
III. s - r

a) I only
b) II only
c) III only
d) I and II
e) I and III

OA is provided.

[Reveal] Spoiler:
I am not able to eliminate II.

[Reveal] Spoiler: OA
Manager
Joined: 03 Mar 2011
Posts: 94
Location: United States
Schools: Erasmus (S)
GMAT 1: 730 Q51 V37
GPA: 3.9
Followers: 1

Kudos [?]: 88 [1] , given: 12

Re: must be less than 1 [#permalink]  20 Mar 2011, 03:09
1
KUDOS
We could solve this easily using contrexamples.
I is true since r<s and both are positive
II is false. Take r=2/3, s=3/2. rs=1
III is false. Take r=0.1, s=1.9. s-r=1.8

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Status: GMAT Learner
Joined: 14 Jul 2010
Posts: 652
Followers: 34

Kudos [?]: 213 [0], given: 32

Re: must be less than 1 [#permalink]  17 Jun 2011, 03:56
nikhilsrl wrote:
if 0<r<1<s<2, which of the following must be less than 1?

I. r/s
II. rs
III. s - r

a) I only
b) II only
c) III only
d) I and II
e) I and III

OA is provided.

[Reveal] Spoiler:
I am not able to eliminate II.

Let r=1/2 and s=3/2

I. r/s = 1/3 this is < 1 true.
II. rs = 3/4 this is < 1 true.
III. s-r = 3/2-1/2 = 1 this is NOT < 1 false

Now let, r=2/3 and 3/2 as well.

I. r/s = 1/3 this is < 1 true.
II. rs = 1 this is NOT < 1 false
III. s-r = 3/2-1/2 = 5/6 this is < 1 true.
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Collections:-
PSof OG solved by GC members: http://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html
DS of OG solved by GC members: http://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html
100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html

Re: must be less than 1   [#permalink] 17 Jun 2011, 03:56
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