must be less than 1

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must be less than 1 [#permalink]

20 Mar 2011, 04:04

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Question Stats:

55% (01:32) correct

44% (01:08) wrong

based on 9 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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Re: must be less than 1 [#permalink]

20 Mar 2011, 04:09

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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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Re: must be less than 1 [#permalink]

17 Jun 2011, 04:56

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, 04:56

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must be less than 1

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