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Statements:All bags are books.Some books are boxes.Conclusions:I. All boxes being bags is a possibility.II. Some bags are boxes.

Question

Statements:All bags are books.Some books are boxes.Conclusions:I. All boxes being bags is a possibility.II. Some bags are boxes.

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Solution 1

The given statements are:

  1. All bags are books.
  2. Some books are boxes.

From these statements, we can draw the following conclusions:

I. All boxes being bags is a possibility. - This conclusion is POSSIBLE. Since some books are boxes and all bags are books, it is possible that all boxes could be bags.

II. Some bags are boxes. - This conclusion is NOT NECESSARILY TRUE. While some books are boxes, we don't know for sure if some bags are boxes because the statement "all bags are books" doesn't guarantee that some of those books (which are bags) are also boxes.

So, the answer is:

Conclusion I is POSSIBLE. Conclusion II is NOT NECESSARILY TRUE.

This problem has been solved

Solution 2

The given statements are:

  1. All bags are books.
  2. Some books are boxes.

From these statements, we can draw the following conclusions:

I. All boxes being bags is a possibility. - This conclusion is POSSIBLE. Since some books are boxes and all bags are books, it is possible that all boxes could be bags.

II. Some bags are boxes. - This conclusion is NOT NECESSARILY TRUE. While some books are boxes, we don't have enough information to definitively say that some bags are boxes.

So, the answer is: Conclusion I is possible, Conclusion II is not necessarily true.

This problem has been solved

Solution 3

The given statements are:

  1. All bags are books.
  2. Some books are boxes.

From these statements, we can draw the following conclusions:

I. All boxes being bags is a possibility. This conclusion is possible. Since some books are boxes and all bags are books, it is possible that all boxes could be bags.

II. Some bags are boxes. This conclusion is not necessarily true. While some books are boxes, we don't know if those specific books are also bags. So, we can't definitively say that some bags are boxes.

So, the answer is: Conclusion I is possible, but Conclusion II is not necessarily true.

This problem has been solved

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