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27 Aug 2019, 01:17
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D
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:
63% (01:14) correct
37%
(01:33)
wrong
based on 35
sessions
History
Date
Time
Result
Not Attempted Yet
27 Aug 2019, 08:56
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from statement (1), m must be negative to make 0< mn --> sufficient
for statement (2):
it is given than mn<ms
if m is positive, then upon dividing each side by m, the result would be n<s --> but this contradicts statement (2)
if m is negative, then upon dividing each side by m, the inequality will be flipped and the result would be n>s --> as stated by statement (2) --> sufficient
for statement (2):
it is given than mn<ms
if m is positive, then upon dividing each side by m, the result would be n<s --> but this contradicts statement (2)
if m is negative, then upon dividing each side by m, the inequality will be flipped and the result would be n>s --> as stated by statement (2) --> sufficient
27 Aug 2019, 11:59
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EncounterGMAT
If 0 < mn < ms, is m negative?
(1) n < 0
(2) n > s
Source: Barron's
(1) n < 0
(2) n > s
Source: Barron's
This looks like 'GMAT code' - what clued me in was the inequalities greater than zero, since 'greater than zero' really just means 'positive'. So, let's translate it into plain English first.
First, mn is positive. That means m and n have the same sign (both positive or both negative.)
Also, ms is positive. So, s has the same sign as well. All three of these numbers have the same sign: all positive, or all negative.
Finally, ms is greater than mn. That doesn't necessarily mean that s is greater than n. If they're all positive, then yes, s > n. But if they're all negative, then s < n. Basically, s is further away from zero than n.
Statement 1: n is negative. We figured out that all three numbers have the same sign, so m is negative as well, and the answer to the question is "yes." This statement is sufficient.
Statement 2: n > s. We figured out that this will only happen in the case where the three numbers are negative. Therefore, m is negative, and the answer to the question is "yes." This statement is sufficient.
The answer to the problem is D.
