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Bunuel
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prathameshbhirud
|2n + 11| = 15 --> n = 2 or -13

St1: n^3 < 0 --> n has to be negative so n = -13. Sufficient

St2: n^4 > n^5 --> suggest either n is -ve ( if n= -2 then (-2)^4 > (-)^5) or n is +ve fraction (we can consider as no restriction specified) n = 1/2 then also n^4 > n^5, so cannot decide...Insufficient.....

So, I would go with A


Please correct me if I am wrong in logic.

Hi,

The value of n is either 2 or -13. So you cannot take the value of n as -2.

2^4 is not greater than 2^5 (Violates St2 and hence cannot be considered)
whereas
(-13)^4 > (-13)^5 (Satisfies St2)
St2 is sufficient.
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Bunuel
If |2n+11|=15, what is the value of n?

(1) n^3 < 0
(2) n^4 > n^5

solve |2n+11| =15
n=2 and - 13

statement 1 tells you n^3<0 that means n is negative so n=-13 sufficient.
statement 2 tells you n^4>n^5 that means n is negative so n=-13 sufficient.

answer D
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Both the statements tell you that N is negative


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