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must be less than 1

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Joined: 20 Dec 2010
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Location: India
Concentration: Strategy, General Management
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must be less than 1 [#permalink] New post 20 Mar 2011, 03:04
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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.


Please help solve this.
[Reveal] Spoiler: OA
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Joined: 03 Mar 2011
Posts: 94
Location: United States
Schools: Erasmus (S)
GMAT 1: 730 Q51 V37
GPA: 3.9
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Kudos [?]: 88 [1] , given: 12

GMAT Tests User
Re: must be less than 1 [#permalink] New post 20 Mar 2011, 03:09
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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

So, the answer is A
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GMAT Tests User
Re: must be less than 1 [#permalink] New post 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.



Please help solve this.



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