CSATLogical ReasoningScenario Based Reasoning2015

All good athletes want to win and all athletes who want to win eat a well-balanced diet; therefore all athletes who do not eat a well-balanced diet are bad athletes. The best conclusion from this statement is that

A

no bad athlete wants to win.

B

no athlete who does not eat a well-balanced diet is a good athlete.

C

every athlete who eats a well-balanced diet is a good athlete.

D

all athletes who want to win are good athletes.

Correct Answer: Option B

Explanation

1. **Link the Logic (Transitive Inference)**: The question gives us two steps: 'Good Athletes' → 'Want to Win' and 'Want to Win' → 'Diet'. By applying the Chain Rule found in PYQs [13], we combine these to form a direct link: 'Good Athletes' → 'Diet'.\n\n2. **Apply the Rule (Contrapositive)**: Now we have the simplified rule: 'If you are a Good Athlete, you eat a Diet'. In logic, this statement is perfectly equivalent to its contrapositive: 'If you do NOT eat a Diet, you are NOT a Good Athlete'. This concept of deducing consequences from constraints is a standard pattern [1].\n\n3. **Map to Terms**: The question equates 'Not Good' with 'Bad'. So the valid conclusion is: 'No Diet → Bad Athlete'.\n\n4. **Check Options**: \n - (A) says Bad → Not Win (Inverse error).\n - (B) says No Diet → Not Good. This matches our derived contrapositive perfectly.\n - (C) says Diet → Good (Converse error).\n - (D) says Win → Good (Converse error).\n\nBy simply chaining and flipping, Option B is the only logically sound conclusion.

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