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Select the correct answerStatements: All blades are sharp.Some blades are blunt.No blunt is a sword.Conclusions:I. All sword being blades is a possibility.II. At least some blades may be swords.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 blades are sharp.Some blades are blunt.No blunt is a sword.Conclusions:I. All sword being blades is a possibility.II. At least some blades may be swords.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 only conclusion II follows".

Here's the step by step reasoning:

Statement 1: All blades are sharp. Statement 2: Some blades are blunt. Statement 3: No blunt is a sword.

Conclusion I: All sword being blades is a possibility. This conclusion does not follow because according to statement 3, no blunt is a sword. Since some blades are blunt (statement 2), it is not possible for all swords to be blades.

Conclusion II: At least some blades may be swords. This conclusion follows because there is no information given that directly contradicts this. While some blades are blunt and no blunt is a sword, this does not rule out the possibility of some blades (that are not blunt) being swords.

This problem has been solved

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