Select the correct answerStatements:No book is a pencil.All pencils are pens.No pen is blue.Conclusions: I. No blue is a pencil.II. All books being pen is a possibility.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
Select the correct answerStatements:No book is a pencil.All pencils are pens.No pen is blue.Conclusions: I. No blue is a pencil.II. All books being pen is a possibility.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 correct answer is "If only conclusion I follows".
Here's the step by step reasoning:
Statement 1: No book is a pencil. Statement 2: All pencils are pens. Statement 3: No pen is blue.
Conclusion I: No blue is a pencil. This conclusion follows because if no pen is blue and all pencils are pens, then no pencil can be blue.
Conclusion II: All books being pen is a possibility. This conclusion does not follow because all pencils are pens and no book is a pencil. Therefore, a book cannot be a pen.
So, only conclusion I follows.
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