Statement 1: |m| = -36/m
Since an absolute value must always be positive and since m * |m| = -36, m must be negative.
We can say -1 x |m| x |m| = -36 and |m| x |m| = 36
So m is -6.
Sufficient.
Statement 2: 2m + 2|m| = 0
This just tells us that 2|m| = -2m, which works as long as m is negative or 0.
So there are many values of m that work.
Insufficient.
The correct answer is A.
DS Absolute Value
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Source: Beat The GMAT — Data Sufficiency |
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