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If some cats are black and all black animals are pets, which of the following mu

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Question: If some cats are black and all black animals are pets, which of the following must be true?

Options:

  1. Some cats are pets.
  2. All cats are black.
  3. No cats are pets.
  4. All pets are cats.

Correct Answer: Some cats are pets.

Solution: 

If some cats are black and all black animals are pets, it follows that some cats are pets.

If some cats are black and all black animals are pets, which of the following mu

Practice Questions

Q1
If some cats are black and all black animals are pets, which of the following must be true?
  1. Some cats are pets.
  2. All cats are black.
  3. No cats are pets.
  4. All pets are cats.

Questions & Step-by-Step Solutions

If some cats are black and all black animals are pets, which of the following must be true?
  • Step 1: Understand that 'some cats are black' means there are at least a few cats that are black in color.
  • Step 2: Know that 'all black animals are pets' means every animal that is black is also a pet.
  • Step 3: Since some cats are black, and all black animals are pets, it means those black cats must also be pets.
  • Step 4: Therefore, we can conclude that some cats (the black ones) are pets.
  • Logical Deduction – The ability to infer conclusions from given premises.
  • Categorical Logic – Understanding relationships between categories (e.g., some, all) in logical statements.
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