Statements: All fruits are healthy. Some fruits are citrus. Conclusions: I. Some citrus are healthy. II. All citrus are fruits.
Correct answer: A. Only I
- A. Only I
- B. Only II
- C. Both
- D. None
Explanation
The correct answer is Option A: Only I.Conclusion I is valid because the premise establishes that all fruits are healthy and some of these fruits are citrus, implying that those citrus fruits are healthy.Conclusion II is not valid as the statements do not provide enough information to assert that all citrus are fruits; it only confirms that some fruits are citrus without making a claim about the entirety of citrus.Options C and D are incorrect because they incorrectly interpret the logical deductions from the given statements.
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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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