Statements: Some keys are locks. Some locks are chains. Conclusions: I. Some keys are chains. II. All chains are locks
Correct answer: A. None of the conclusions follow
- A. None of the conclusions follow
- B. Only Conclusion II follows
- C. Only Conclusion I follows
- D. Both conclusions follow
Explanation
To solve this problem, we need to analyze the given statements: 'Some keys are locks' and 'Some locks are chains.' Conclusion I suggests that 'Some keys are chains,' but this does not logically follow because there is no direct relationship established between keys and chains. Conclusion II suggests 'All chains are locks,' which is also not supported since the second statement only states that some locks are chains, not all. Therefore, neither conclusion can be drawn from the statements, making Option A correct. The other options incorrectly assume a direct or universal relationship that isn't justified by 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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