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All cats are mammals. Some mammals are not dogs. Which of the following conclusi

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Question: All cats are mammals. Some mammals are not dogs. Which of the following conclusions can be drawn?

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

All cats are mammals. Some mammals are not dogs. Which of the following conclusi

Practice Questions

Q1
All cats are mammals. Some mammals are not dogs. Which of the following conclusions can be drawn?
  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

All cats are mammals. Some mammals are not dogs. Which of the following conclusions can be drawn?
  • 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 must not be dogs.
  • Syllogism – The question tests the ability to draw logical conclusions from given premises.
  • Categorical Logic – Understanding the relationships between categories (cats, mammals, dogs) is essential for solving the problem.
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