medium · LSAT Logical Reasoning

If a student studies hard, that student will pass the exam. If a student passes the exam, that student will graduate. David did not graduate.

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

  1. He did not study hard.
  2. He studied hard, but the exam proved too difficult for him.
  3. He passed the exam yet fell short on some other graduation requirement.
  4. He may well have passed the exam even though he did not study hard.
  5. He neither studied hard nor wanted to graduate.

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