Hey !
I think that answer is B.
from 1) (n+5)(n-3)=0, n=-5;3. Ins.
2) (n+2)^n=125, factorizing 125 into 5^3 => (n+2)^n=5^3
so, n=3. Sufficient.
Of coarse, it is IMO. However, i can't find another to satisfy (n+2)^n=5^3.
If 125^1, the (1+2)^1=3.
if 125=(1/5)^-3, then (-3+2)^(-3)=-1.
We can't get 125 in another ways afaik.
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Source: Beat The GMAT — Data Sufficiency |