hard · LSAT Logical Reasoning

Most people who own a cat also own a dog. However, most people who own a dog do not own a cat.

If these statements are true, which one of the following must also be true?

  1. The population of dog owners is larger than the population of cat owners.
  2. No individual in either group owns both a cat and a dog at once.
  3. Dog owners, as a group, tend to act more responsibly than cat owners.
  4. At least some people in the area own neither a cat nor a dog of any kind.
  5. Exactly half of every region's dog owners also keep at least one cat.

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