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18 Apr 2022, 01:30
Kudos
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
78% (01:34) correct
23%
(01:07)
wrong
based on 40
sessions
History
Date
Time
Result
Not Attempted Yet
Is mx < m + x?
(1) 0 < x < 1.
(2) m is a positive integer.
(1) 0 < x < 1.
(2) m is a positive integer.
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
18 Apr 2022, 07:11
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Bunuel
Target question: Is mx < m + x?
Statement 1: 0 < x < 1
Since we have no information about the value of m, statement 1 is NOT SUFFICIENT
Statement 2: m is a positive integer.
Since we have no information about the value of x, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Let's take a moment to rephrase the target question.
Take: Is mx < m + x?
Subtract m from both quantities to get: Is mx - m < x?
Factor the left side to get: Is m(x - 1) < x?
Statement 1 tells us that 0 < x < 1, which means (x- 1) is NEGATIVE, and x is POSITIVE.
Statement 2 tells us that m is POSITIVE.
So the rephrase target question becomes: Is (POSITIVE)(NEGATIVE) < POSITIVE?
So, the answer to the rephrased target question is YES!
Since we can answer the target question with certainty, the combined statements are SUFFICIENT
Answer: C
Cheers,
Brent
10 Aug 2024, 12:21
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