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 to answer the question asked, and additional data are needed.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
An absolute value is the positive difference between that value and 0. To put it in another way, it is the positive version of any value. So x and -x have an absolute value of x.
Statement (1): Given k^3=27, so k=3, because we know that if k = -3 then -3^3 = -27. However, because we are only looking for the absolute value of k, if we knew that it was 3 or -3 that would be enough. Thus this is sufficient.
Statement (2): It says k= |k|; since we do not know k this is not sufficient.