Question

If $r>0$ and $s>0$, is $\frac{r}{s}<\frac{s}{r}$?
(1) $\frac{r}{3s}=\frac{1}{4}$
(2) $s=r+4$

• 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.

Answer 1

Answer: (D)

Each statement alone is sufficient.

Given positive numbers r and s, determine if .

1. If , then , , and so , since ; SUFFICIENT.
2. If s = r + 4, then and . Since r + 4 > r, and , so ; SUFFICIENT.

• The correct answer is D; each statement alone is sufficient.