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All dogs are pets. Some pets are not cats. Which of the following conclusions ca

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

Options:

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

Correct Answer: Some dogs are not cats.

Solution: 

Since all dogs are pets and some pets are not cats, it can be concluded that some dogs are not cats.

All dogs are pets. Some pets are not cats. Which of the following conclusions ca

Practice Questions

Q1
All dogs are pets. Some pets are not cats. Which of the following conclusions can be drawn?
  1. All pets are dogs.
  2. Some dogs are not cats.
  3. All cats are pets.
  4. Some pets are dogs.

Questions & Step-by-Step Solutions

All dogs are pets. Some pets are not cats. Which of the following conclusions can be drawn?
  • Step 1: Understand that all dogs belong to the category of pets.
  • Step 2: Recognize that there are some pets that are not cats.
  • Step 3: Since all dogs are pets, and some pets are not cats, it means that those dogs that are pets could also be part of the group that is not cats.
  • Step 4: Therefore, we can conclude that some dogs are not cats.
  • 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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