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Bunuel
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If A and B are two different points on a number line, is 0 between A 03 Apr 2023, 01:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

83% (01:06) correct 17% (01:01) wrong based on 96 sessions

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If A and B are two different points on a number line, is 0 between A and B?

(1) The distance between 0 and A is less than 3.

(2) The distance between A and B is greater than 3.
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E
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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
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SaquibHGMATWhiz
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GMAT 1: 760 Q51 V40
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If A and B are two different points on a number line, is 0 between A 03 Apr 2023, 04:33
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Bunuel
If A and B are two different points on a number line, is 0 between A and B?
(1) The distance between 0 and A is less than 3.
(2) The distance between A and B is greater than 3.
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Solution:
Pre Analysis:
  • We are asked if numbers A and B have opposite signs or not
  • This is a YES-NO question

Statement 1: The distance between 0 and A is less than 3
  • According to this statement, \(|A|<3\) or \(-3<A<3\)
  • However, there is no information on B
  • If \(A=-2\) and \(B=-7\), then the answer is NO
  • If \(A=-2\) and \(B=7\), then the answer is YES
  • Thus, statement 1 alone is not sufficient and we can eliminate options A and D

Statement 2: The distance between A and B is greater than 3
  • According to this statement, \(|A-B|>3\) or \(A-B>3\) and \(A-B<-3\)
  • If \(A=-2\) and \(B=-7\), then the answer is NO
  • If \(A=-2\) and \(B=7\), then the answer is YES
  • Thus, statement 2 alone is also not sufficient

Combining:
  • Even after combining, we can use the same two examples

Hence the right answer is Option E
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Bunuel
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