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If all cats are mammals and some mammals are not dogs, what can be concluded?

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Question: If all cats are mammals and some mammals are not dogs, what can be concluded?

Options:

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

Correct Answer: Some cats are not dogs.

Solution: 

Since not all mammals are dogs, it follows that some cats, being mammals, are not dogs.

If all cats are mammals and some mammals are not dogs, what can be concluded?

Practice Questions

Q1
If all cats are mammals and some mammals are not dogs, what can be concluded?
  1. All cats are dogs.
  2. Some cats are not dogs.
  3. All mammals are cats.
  4. Some dogs are not mammals.

Questions & Step-by-Step Solutions

If all cats are mammals and some mammals are not dogs, what can be concluded?
  • Step 1: Understand that all cats belong to the group of mammals.
  • Step 2: Recognize that some mammals do not belong to the group of dogs.
  • Step 3: Since all cats are mammals, we can say that cats are included in the group of mammals.
  • Step 4: Because some mammals are not dogs, it means that there are mammals (which include cats) that are not dogs.
  • Step 5: Therefore, we can conclude that some cats, being mammals, 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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