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If all cats are mammals and some mammals are not dogs, which of the following is

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Question: If all cats are mammals and some mammals are not dogs, which of the following is true?

Options:

  1. All cats are dogs.
  2. Some cats are not dogs.
  3. All mammals are cats.
  4. Some dogs are cats.

Correct Answer: Some cats are not dogs.

Solution: 

Since all cats are mammals and some mammals are not dogs, it follows that some cats must also not be dogs.

If all cats are mammals and some mammals are not dogs, which of the following is

Practice Questions

Q1
If all cats are mammals and some mammals are not dogs, which of the following is true?
  1. All cats are dogs.
  2. Some cats are not dogs.
  3. All mammals are cats.
  4. Some dogs are cats.

Questions & Step-by-Step Solutions

If all cats are mammals and some mammals are not dogs, which of the following is true?
  • Step 1: Understand that all cats belong to the group called mammals.
  • Step 2: Recognize that within the group of mammals, there are some that are not dogs.
  • Step 3: Since all cats are mammals, we can say that cats are included in the group of mammals.
  • Step 4: If some mammals are not dogs, then it is possible that some of those mammals could be cats.
  • Step 5: Therefore, we can conclude that some cats must also not be dogs.
  • Logical Deduction – The ability to draw conclusions based on given premises.
  • Categorical Logic – Understanding relationships between categories (e.g., all, some) in logical statements.
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