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

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

Options:

  1. Some cats are not pets.
  2. All cats are pets.
  3. No cats are mammals.
  4. All mammals are cats.

Correct Answer: Some cats are not pets.

Solution: 

Since some mammals are not pets and all cats are mammals, it is possible that some cats are not pets.

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

Practice Questions

Q1
If all cats are mammals and some mammals are not pets, which of the following is true?
  1. Some cats are not pets.
  2. All cats are pets.
  3. No cats are mammals.
  4. All mammals are cats.

Questions & Step-by-Step Solutions

If all cats are mammals and some mammals are not pets, which of the following is true?
  • Step 1: Understand that all cats belong to the group called mammals.
  • Step 2: Recognize that some mammals do not fall into the category of pets.
  • Step 3: Since all cats are mammals, they are included in the group of mammals.
  • Step 4: Because some mammals are not pets, it means that it is possible for some cats to also not be pets.
  • 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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