Quantitative Question of the Day

If r * s ≠ 0, then what is the value of r/s + s/r?

(1) r * s = 8

(2) r / s = 2

A. statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;

B. statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;

C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked;

D. EACH statement ALONE is sufficient to answer the question asked;

E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

(1) Provides the denominator of the combined fraction. However, you’re still missing the values of s2 and r2, so (1) is not sufficient.

(2) If r/s = 2, then the reciprocal s/r must equal the reciprocal of 2: 1/2. Therefore, this is a single value for the sum of the fractions, so (2) is sufficient and the answer is B.