IMO ans is A.
given |x| + |y| = 32
and from 1 we have x=-3y
putting we get
|-3y| + |y| = 32
|y|=8
x=-24 if y=8 or x=24 if y=-8
In both cases xy=24*(-8) or (-24)*8
Hence suff.
From 2 we have |x|-|y| = 16
solving we get
|x| = 24, |y| = 8
x,y can be both negative and positive so for both xy will change.
Hence insuff.
But i want to know if the values of x and y can be negative for these two equations as taken by me for statement 2, or in other words if the OA is D
Absolut
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Source: Beat The GMAT — Data Sufficiency |












