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Select the correct answerStatements: All pirates are from the Caribbean.All bowlers are from the Caribbean.Conclusions:I. Some pirates are bowlers.II. All bowlers are pirates.OptionsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion I followsIf only conclusion II follows

Question

Select the correct answerStatements: All pirates are from the Caribbean.All bowlers are from the Caribbean.Conclusions:I. Some pirates are bowlers.II. All bowlers are pirates.OptionsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion I followsIf only conclusion II follows

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Solution

The correct answer is "If neither conclusion I nor conclusion II follows".

Here's why:

The statements are:

  1. All pirates are from the Caribbean.
  2. All bowlers are from the Caribbean.

From these statements, we know that both pirates and bowlers are from the Caribbean. However, this does not necessarily mean that some pirates are bowlers (Conclusion I) or that all bowlers are pirates (Conclusion II). The statements only tell us the geographical origin of the pirates and bowlers, not their overlap in identities. Therefore, neither conclusion I nor conclusion II can be definitively drawn from the statements.

This problem has been solved

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