Statements: No bottle is glass. All glasses are cups. Conclusions: I. Some bottles are cups. II. No bottle is cup. III. Some cups are not bottles
Correct answer: D. Only II and III
- A. None
- B. Only I
- C. Only III
- D. Only II and III
Explanation
To solve this question, we need to analyze the logical deductions based on the given statements:1. Statement: No bottle is glass. All glasses are cups.2. Conclusion I: Some bottles are cups. This conclusion does not follow because there is no direct relationship between bottles and cups established by the statements.3. Conclusion II: No bottle is cup. This conclusion follows because if no bottle is a glass and all glasses are cups, then no bottle can be a cup.4. Conclusion III: Some cups are not bottles. This conclusion follows because since all glasses are cups and no bottle is a glass, then at least some cups will not be bottles.Therefore, the correct option is II and III, as they logically follow 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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