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If all Cats are Mammals and some Mammals are Carnivores, which of the following must be true?

Question

If all Cats are Mammals and some Mammals are Carnivores, which of the following must be true?

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Solution

The statement that must be true is "Some Carnivores could be Cats." Here's the step-by-step reasoning:

  1. The first part of the statement says "all Cats are Mammals." This means that every cat falls under the category of mammals.

  2. The second part of the statement says "some Mammals are Carnivores." This means that there are certain mammals that are also carnivores.

  3. However, this does not specify which mammals are carnivores. It could be any mammal, including cats.

  4. Therefore, it is possible that some of the carnivores are cats.

Please note that the statement "All cats are carnivores" is not necessarily true based on the given information. While it's possible that some cats (which are mammals) are also carnivores, we can't say for sure that all are.

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