Statements: C ≥ V ≤ R = N ≥ T Q, Y ≥ N V Conclusion II: Q

Question

Statements: C ≥ V ≤ R = N ≥ T > Q, Y ≥ N < A Conclusion I: Q > V Conclusion II: Q < Y

Accepted Answer

1. From the statements: $C \ge V \le R = N \ge T > Q$ and $Y \ge N < A$. 2. From $R = N$ and $V \le R$ we get $V \le N$. 3. From $N \ge T > Q$ we get $N > Q$, so $Q < N$. 4. From $Y \ge N$ and $N > Q$ we get $Y > Q$, hence $Q < Y$. Therefore Conclusion II follows. 5. Conclusion I is $Q > V$. This does not necessarily follow because although $V \le N$ and $N > Q$, $V$ could be greater than $Q$ as well. Example (consistent with all statements): $N=10,\ T=9,\ Q=8,\ V=9$ gives $V \le N$ and $N>Q$ but $Q(8) ot>V(9)$. Thus Conclusion I does not follow. FINAL_ANSWER: b

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