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No dogs are cats. Some pets are dogs. Therefore, some pets are not cats. Is this

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Question: No dogs are cats. Some pets are dogs. Therefore, some pets are not cats. Is this conclusion valid?

Options:

  1. Yes
  2. No
  3. Only if all pets are dogs
  4. Cannot be determined

Correct Answer: Yes

Solution: 

The conclusion is valid because if no dogs are cats and some pets are dogs, then those pets cannot be cats.

No dogs are cats. Some pets are dogs. Therefore, some pets are not cats. Is this

Practice Questions

Q1
No dogs are cats. Some pets are dogs. Therefore, some pets are not cats. Is this conclusion valid?
  1. Yes
  2. No
  3. Only if all pets are dogs
  4. Cannot be determined

Questions & Step-by-Step Solutions

No dogs are cats. Some pets are dogs. Therefore, some pets are not cats. Is this conclusion valid?
  • 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).
  • Categorical Logic – Understanding relationships between different categories or groups.
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