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Statements: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

Statements: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

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Solution

The given statements are:

  1. No book is a pencil.
  2. All pencils are pens.
  3. No pen is blue.

Let's analyze the conclusions:

I. No blue is a pencil. This conclusion follows from the statements. Since no pen is blue and all pencils are pens, it means that no pencil can be blue.

II. All books being pen is a possibility. This conclusion does not follow from the statements. Since no book is a pencil and all pencils are pens, it means that no book can be a pen.

So, the correct option is "If only conclusion I follows".

This problem has been solved

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