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

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

Options:

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

Correct Answer: Some pets are cats.

Solution:

The statement \'Some pets are cats\' is true because some cats are black and all black animals are pets.

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

Practice Questions

Q1
If some cats are black and all black animals are pets, which of the following is true?
  1. Some pets are cats.
  2. All cats are pets.
  3. No cats are pets.
  4. Some pets are not cats.

Questions & Step-by-Step Solutions

If some cats are black and all black animals are pets, which of the following is true?
  • Step 1: Identify that some cats are black. This means there are cats that belong to the group of black animals.
  • Step 2: Understand that all black animals are pets. This means every black animal, including the black cats, is a pet.
  • Step 3: Since some cats are black and all black animals are pets, it follows that those black cats are also pets.
  • Step 4: Conclude that if some cats (the black ones) are pets, then it is true that some pets are cats.
  • Logical Deduction – The ability to infer conclusions from given premises.
  • Categorical Logic – Understanding relationships between categories (e.g., cats, black animals, pets).
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