Statements: Some rings are gold. No gold is silver. Conclusions: I. Some rings are not silver. II. All rings are silver. III. Some silver are not gold.
Correct answer: C. Only I
- A. Only II
- B. I and III
- C. Only I
- D. None
Explanation
To solve this problem, consider the statements: 'Some rings are gold' and 'No gold is silver'. Conclusion I, 'Some rings are not silver', follows because the rings that are classified as gold cannot be silver, as per the given statements. Conclusion II, 'All rings are silver', contradicts the statement 'No gold is silver', thus it cannot be true. Conclusion III, 'Some silver are not gold', cannot be determined from the given information, as the statements do not address the relationship between silver and rings that are not gold.
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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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