Statements:Some tigers are panthers.No lion is a tiger.Conclusions:I. Some panthers being lions is a possibility.II. Panthers, which are not tigers, being lions is a OptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Question
Statements:Some tigers are panthers.No lion is a tiger.Conclusions:I. Some panthers being lions is a possibility.II. Panthers, which are not tigers, being lions is a OptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Solution
The given statements are:
- Some tigers are panthers.
- No lion is a tiger.
From these statements, we can infer the following:
Conclusion I: Some panthers being lions is a possibility. This conclusion is possible because the statements do not rule out the possibility of some panthers being lions. The statements only specify that no lion is a tiger, but they do not say anything about the relationship between lions and panthers. Therefore, it is possible that some panthers could be lions.
Conclusion II: Panthers, which are not tigers, being lions is a possibility. This conclusion is also possible because, again, the statements do not rule out the possibility of panthers that are not tigers being lions. The statements only specify that no lion is a tiger, but they do not say anything about the relationship between lions and panthers that are not tigers. Therefore, it is possible that panthers that are not tigers could be lions.
So, the answer is "If both conclusion I and conclusion II follow".
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