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All cats are mammals. Some mammals are not dogs. Which of the following is true?

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Question: All cats are mammals. 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 not 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 are not dogs.

All cats are mammals. Some mammals are not dogs. Which of the following is true?

Practice Questions

Q1
All cats are mammals. 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 not cats

Questions & Step-by-Step Solutions

All cats are mammals. 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 there are some mammals that are not dogs.
  • Step 3: Since all cats are mammals, they 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 are not 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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