Difficulty: Medium
Correct Answer: All those who travel by air are rich.
Explanation:
Introduction / Context:
We are given a classic “only” statement (“none but the rich…”) and two additional existential premises about sickness and treatment among air travelers. The task is to identify which conclusion is logically entailed, not merely plausible.
Given Data / Assumptions:
Concept / Approach:
Translate “only” carefully. The correct inference from “only rich can afford air travel” is that every air traveler belongs to the set of rich people. It does not say the reverse (that every rich person travels by air). Evaluate options accordingly.
Step-by-Step Solution:
Verification / Alternative check:
Try a model: Let 10 rich people exist, 3 travel by air, and 2 of those get sick, 1 needs treatment. All statements hold and D remains true. No contradiction occurs.
Why Other Options Are Wrong:
Common Pitfalls:
Misreading “only” statements. Remember: “Only rich travel by air” means “air traveler → rich,” not “rich → air traveler.”
Final Answer:
All those who travel by air are rich.
Discussion & Comments