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

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Question: If all cats are mammals and some mammals are not pets, which of the following can be concluded?

Options:

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

Correct Answer: Some cats are not pets.

Solution: 

It can be concluded that some cats are not pets since some mammals are not pets.

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

Practice Questions

Q1
If all cats are mammals and some mammals are not pets, which of the following can be concluded?
  1. Some cats are not pets.
  2. All cats are pets.
  3. Some mammals are cats.
  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 can be concluded?
  • Step 1: Understand that all cats belong to the group of mammals.
  • Step 2: Recognize that some mammals do not fall into the category of pets.
  • Step 3: Since all cats are mammals, if some mammals are not pets, it is possible that some of those mammals could be cats.
  • Step 4: Therefore, we can conclude that some cats might not be pets because they are part of the group of mammals that are not 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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