Question: Is m \gt n, where m, n are non-zero numbers?<br>Statement I: \frac{m}{n} \gt 1.<br>Statement II: m \gt 2n.
For the next ten (10) items that follow:<br>Each item contains a Question followed by two Statements. Answer each item using the following instructions:
- A. Choose this option if the Question can be answered by one of the Statements alone but not by the other.
- B. Choose this option if the Question can be answered by either Statement alone.
- C. Choose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.
- D. Choose this option if the Question cannot be answered even by using both Statements together. ✓
Correct Answer: D. Choose this option if the Question cannot be answered even by using both Statements together.
Explanation
Statement I: m/n \gt 1 implies m \gt n if n \gt 0, but m \lt n if n \lt 0. Statement II: m \gt 2n doesn't fix it if n \lt 0. Combining both, let n=-5. If m=-4, m/n=0.8 (fails I). If m=-6, m/n=1.2 \gt 1 (passes I) and -6 \gt -10 (passes II), but m \lt n. If m=5, n=2, m \gt n. The answer is still ambiguous.
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