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All dogs are animals. Some animals are not pets. Which of the following conclusi

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

Options:

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

Correct Answer: Some dogs are not pets.

Solution: 

Since some animals are not pets, it follows that some dogs must not be pets.

All dogs are animals. Some animals are not pets. Which of the following conclusi

Practice Questions

Q1
All dogs are animals. Some animals are not pets. Which of the following conclusions can be drawn?
  1. All pets are dogs.
  2. Some dogs are not pets.
  3. No animals are pets.
  4. Some pets are not dogs.

Questions & Step-by-Step Solutions

All dogs are animals. Some animals are not pets. Which of the following conclusions can be drawn?
  • Step 1: Understand that all dogs belong to the category of animals.
  • Step 2: Recognize that there are some animals that are not pets.
  • Step 3: Since all dogs are animals, we need to consider if any of those animals that are not pets could be dogs.
  • Step 4: Conclude that if some animals are not pets, it is possible that some of those animals could be dogs.
  • Step 5: Therefore, we can say that some dogs must not be pets.
  • Logical Deduction – The ability to draw conclusions based on given premises.
  • Syllogism – A form of reasoning in which a conclusion is drawn from two given or assumed propositions (premises).
  • Quantifiers in Logic – Understanding the implications of universal and particular quantifiers (e.g., 'all', 'some').
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