Bunuel wrote:

If m ≠ 0 and n ≠ 0, is mn > 0?

(1) |m + n| = k

(2) |m| + |n| = k

Given : m ≠ 0 and n ≠ 0

DS : mn > 0 which means wither m>0 and n>0 OR m<0 and n<0

Statement 1: |m + n| = k

We can't say anything about m and n . m>0 or m<0 AND n>0 or n<0

NOT SUFFICIENTStatement 2: |m| + |n| = k

We can't say anything about m and n . m>0 or m<0 AND n>0 or n<0

NOT SUFFICIENTCombined : Both |m + n| = k & |m| + |n| = k

So, either both m>0 and n>0 OR m<0 and n<0.

SUFFICIENTAnswer C
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