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13 Apr 2022, 07:00
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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:
35%
(medium)
Question Stats:
69% (01:45) correct
31%
(01:28)
wrong
based on 104
sessions
History
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Time
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Not Attempted Yet
Is mn < m/n ?
(1) mn is a positive integer.
(2) n is a negative number.
(1) mn is a positive integer.
(2) n is a negative number.
13 Apr 2022, 09:30
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Bunuel
Target question: Is mn < m/n ?
When I scan the two statements, they both feel insufficient, AND I’m pretty sure I can identify some cases with conflicting answers to the target question. So, I’m going to head straight to……
Statements 1 and 2 combined
Statement 1 tells us that mn is a positive integer.
Statement 2 tells us that n is a negative number.
There are several values of m and n that satisfy BOTH statements. Here are two:
Case a: m = -2 and n = -1/2. So, mn = (-2)(-1/2) = 1 and m/n = (-2)/(-1/2) = 4. In this case, the answer to the target question is YES, mn is less than m/n
Case b: m = -1/2 and n = -2. So, mn = (-1/2)(-2) = 1 and m/n = (-1/2)/(-2) = 1/4. In this case, the answer to the target question is NO, mn is NOT less than m/n
Since we can’t answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
13 Apr 2022, 15:15
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BrentGMATPrepNow
From statement 1, we can infer that both m and n are not equal to zero
Problem statement:
Is mn < m/n ?
Dividing both sides by m, we get
Is n^2 < 0 ?
n can be positive or negative however n^2 will always be positive
So Is n^2 < 0 ? is a definite No
Isn't statement 1 sufficient using the above approach?
Posted from my mobile device
