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All bags are books.Some books are boxes.Conclusions:I. All boxes being bags is a possibility.II. Some bags are boxes.if only conclusion I followsif only conclusion II followsif either conclusion I or II followsif neither conclusion I nor II followsif both conclusions I and II follow

Question

All bags are books.Some books are boxes.Conclusions:I. All boxes being bags is a possibility.II. Some bags are boxes.if only conclusion I followsif only conclusion II followsif either conclusion I or II followsif neither conclusion I nor II followsif both conclusions I and II follow

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Solution

The answer is: if only conclusion II follows.

Here's the step by step reasoning:

  1. The first statement says "All bags are books." This means every bag is a book, but not every book is a bag.

  2. The second statement says "Some books are boxes." This means there are some books that are also boxes, but not all books are boxes.

  3. Conclusion I: "All boxes being bags is a possibility." This is not necessarily true. While some books (which are also bags) could be boxes, it doesn't mean all boxes are bags.

  4. Conclusion II: "Some bags are boxes." This is true. Since some books are boxes and all bags are books, it follows that some bags could be boxes.

So, only conclusion II follows.

This problem has been solved

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