Statements: Some oranges are fruits. All fruits are healthy. Conclusions: I. Some oranges are healthy. II. All oranges are healthy. III. All healthy things are fruits.
Correct answer: C. Only I
- A. Only II
- B. I and II
- C. Only I
- D. None
Explanation
Conclusion I is correct because the statement 'Some oranges are fruits' combined with 'All fruits are healthy' implies that those oranges which are fruits must be healthy. Therefore, 'Some oranges are healthy' is a valid conclusion. Conclusion II is incorrect because not all oranges are confirmed to be fruits, so we cannot deduce that all oranges are healthy. Conclusion III is incorrect as the statement does not provide any information about all healthy things being fruits. The statements only confirm that all fruits are healthy, not the other way around.
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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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