Statements: Some cups are plates. All plates are spoons. Conclusions: I. Some cups are spoons. II. All spoons are plates. III. Some plates are cups
Correct answer: B. I and III
- A. Only III
- B. I and III
- C. Only II
- D. Only I
Explanation
The correct answer is Option B: I and III.Conclusion I: 'Some cups are spoons.' - This follows because if 'some cups are plates' and 'all plates are spoons,' then those cups that are plates must also be spoons.Conclusion III: 'Some plates are cups.' - This follows directly from the statement 'Some cups are plates,' as it implies that the overlap includes some plates that are actually cups.Conclusion II: 'All spoons are plates.' - This is incorrect because the statement 'All plates are spoons' does not imply the reverse relationship. Not all spoons have to be plates.
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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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