Elizabeth owns a bookstore specializing in rare and valuable books. The books in her store are of certain genres, and some books have features that may affect their rarity and value. Elizabeth knows the following to be true: • Classic literature books are all a bit worn out but rare and valuable; • Popular fiction books are common, and most of the books in her store are popular fiction; • Non-fiction books are also common, and some non-fiction books are in excellent condition. Elizabeth needs to clear some space in her store, so she decides to sell a few of her classic literature books. She starts browsing through her collection, but the power suddenly goes out and she knocks over a stack of books. Picking up the fallen books, Elizabeth comes across a book that feels brand new. Which of the following conclusions is necessarily true? Elizabeth found a classic literature book that is valuable. Elizabeth found a non-fiction book that is common. Elizabeth found a worn-out book that is not valuable. Elizabeth found a popular fiction book that is common.

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Answer to a math question Elizabeth owns a bookstore specializing in rare and valuable books. The books in her store are of certain genres, and some books have features that may affect their rarity and value. Elizabeth knows the following to be true: • Classic literature books are all a bit worn out but rare and valuable; • Popular fiction books are common, and most of the books in her store are popular fiction; • Non-fiction books are also common, and some non-fiction books are in excellent condition. Elizabeth needs to clear some space in her store, so she decides to sell a few of her classic literature books. She starts browsing through her collection, but the power suddenly goes out and she knocks over a stack of books. Picking up the fallen books, Elizabeth comes across a book that feels brand new. Which of the following conclusions is necessarily true? Elizabeth found a classic literature book that is valuable. Elizabeth found a non-fiction book that is common. Elizabeth found a worn-out book that is not valuable. Elizabeth found a popular fiction book that is common.

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Brice

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58 Answers

Given the information provided, we know that classic literature books in Elizabeth's store are "a bit worn out but rare and valuable." Non-fiction books are common, and some are in excellent condition.

From the scenario where Elizabeth comes across a book that feels brand new, it is necessarily true that she found a non-fiction book that is in excellent condition.

Therefore, the conclusion that is necessarily true is: Elizabeth found a non-fiction book that is common. The other conclusions cannot be determined from the given information.

\boxed{\text{Elizabeth found a non-fiction book that is common}.}

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