|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
27 Mar 2023, 12:30
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
60% (02:06) correct
40%
(01:53)
wrong
based on 52
sessions
History
Date
Time
Result
Not Attempted Yet
If |m - n| = 3, is m > n ?
(1) mn < 0
(2) The distance between m and 0 is 2
(1) mn < 0
(2) The distance between m and 0 is 2
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
28 Mar 2023, 08:08
Kudos
Bookmarks
Bunuel
Solution:
Pre Analysis:
- We are given \(|m-n|=3\) which means distance between m and n is 3
- We are asked if m > n or not. This is a YES-NO question
Statement 1: mn < 0
- mn < 0 means one of m or n will be positive and the other will be negative
- If m is positive then m > n otherwise m < n
- Thus, statement 1 alone is not sufficient and we can eliminate options A and D
Statement 2: The distance between m and 0 is 2
- According to this statement, m = 2 or m = -2
- Possible scenarios:
- \(m = 2, n = 5 → m < n\)
- \(m=2, n=-1 → m>n\)
- \(m=-2, n =1→ m<n\)
- \(m=-2, n=-5→m>n\)
- Thus, statement 2 alone is also not sufficient
Combining:
- From statement 1 we get that m and n are of opposite signs
- Thus from statement 2, we are left with 2 scenarios
- \(m=2, n=-1 → m>n\)
- \(m=-2, n =1→ m<n\)
- We still cannot say
Hence the right answer is Option E
