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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
If 0 < r < 1 < s < 2. Which of the following must be less than 1.
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28 Apr 2022, 10:23
28 Apr 2022, 10:23
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Question Stats:
57% (01:37) correct
42% (01:03) wrong based on 14 sessions
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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
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
Re: If 0 < r < 1 < s < 2. Which of the following must be less than 1.
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01 May 2022, 09:45
01 May 2022, 09:45
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Notice that we are asked "which of the following MUST be lees than 1, not COULD be less than 1. For such kind of questions if you can prove that a statement is NOT true for one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.
Given: \(0 < r < s\) --> divide by \(s\) (we can safely do this since we know that \(s>0\)) --> \(\frac{r}{s}<1\), so I must be true;
II. rs: if \(r=\frac{9}{10}<1\) and \(1<(s=\frac{10}{9})<2\) then \(rs=1\), so this statement is not alway true;
III. s-r: if \(r=0.5<1\) and 1\(<(s=1.5)<2\) then \(s-r=1\), so this statement is not alway true.
Answer: A (I only).
Given: \(0 < r < s\) --> divide by \(s\) (we can safely do this since we know that \(s>0\)) --> \(\frac{r}{s}<1\), so I must be true;
II. rs: if \(r=\frac{9}{10}<1\) and \(1<(s=\frac{10}{9})<2\) then \(rs=1\), so this statement is not alway true;
III. s-r: if \(r=0.5<1\) and 1\(<(s=1.5)<2\) then \(s-r=1\), so this statement is not alway true.
Answer: A (I only).
gmatclubot
Re: If 0 < r < 1 < s < 2. Which of the following must be less than 1. [#permalink]
01 May 2022, 09:45
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