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All dogs are pets. Some pets are not cats. What can be inferred?

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Question: All dogs are pets. Some pets are not cats. What can be inferred?

Options:

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

Correct Answer: Some pets are dogs.

Solution: 

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

All dogs are pets. Some pets are not cats. What can be inferred?

Practice Questions

Q1
All dogs are pets. Some pets are not cats. What can be inferred?
  1. All pets are dogs.
  2. Some dogs are not cats.
  3. Some pets are dogs.
  4. No dogs are cats.

Questions & Step-by-Step Solutions

All dogs are pets. Some pets are not cats. What can be inferred?
  • 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 we know some pets are not cats, it means that those pets that are not cats could include dogs.
  • Step 4: Therefore, we can conclude that some pets must be dogs.
  • Logical Inference – 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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