arjtryarjtry wrote:

16. If K=m*n^5, where n is an integer and m=4^n. Is K>0?

(1) m>m^2

(2) n is an even number.

A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.

B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.

C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.

D. Each Statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.

Since m=4^n, m is always going to be greater than 0.

The question asks you is k>0. If you already know m>0, the question is really asking you whether n is positive or negative.

Statement 2, by itself is not sufficient as an even number can be both positive or negative

Statement 1, however is sufficient. If m>m^2 and m=4^n, this tell you that m has to be a fraction, only in a situation of fraction, you will find m>m^2. If m is a faction, which means n has to be a negative number. Thus k will be less than 0.

Answer A