Statements: All chocolates are tasty. No tasty thing is healthy. Conclusions: I. No chocolate is healthy. II. Some tasty things are healthy.
Correct answer: A. Only I
- A. Only I
- B. Only II
- C. Both
- D. None
Explanation
To solve this problem, analyze the relationships given in the statements:Statement 1: All chocolates are tasty. This means that chocolates form a subset of tasty things.Statement 2: No tasty thing is healthy. This implies a mutually exclusive relationship between tasty and healthy things.Conclusion I: No chocolate is healthy. This conclusion is valid because all chocolates, being a subset of tasty things, cannot be healthy since no tasty things are healthy.Conclusion II: Some tasty things are healthy. This conclusion is invalid as it directly contradicts the statement that no tasty thing is healthy.Thus, the correct answer is Option A: Only I.
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About Logical Deductions
Logical deductions require conclusions to be drawn from stated facts, conditions and relationships without adding outside information. The work includes handling all, some and none statements, necessary and sufficient conditions, ordering restrictions, true or false conclusions, and the difference between what must be true and what could be true.
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