Statements: No book is a pen. All pens are pencils. Conclusions: I. Some pencils are not books. II. No pencil is a book. Which of the conclusions follow(s)?

Question

Accepted Answer

Only I follows. Pens are pencils and no pen is a book, so those pencils are not books — I follows. Other pencils could still be books, so II is not certain.

Statements: No book is a pen. All pens are pencils. Conclusions: I. Some pencils are not books.
II. No pencil is a book. Which of the conclusions follow(s)?

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Statements: No book is a pen. All pens are pencils. Conclusions: I. Some pencils are not books.II. No pencil is a book. Which of the conclusions follow(s)?

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Syllogism practice

Statements: No book is a pen. All pens are pencils. Conclusions: I. Some pencils are not books.
II. No pencil is a book. Which of the conclusions follow(s)?