Which logical statement(s) below must be correct?

  1. Exactly one statement on this list is incorrect
  2. Exactly two statements on this list are incorrect
  3. Exactly three statements on this list are incorrect
  4. Exactly four statements on this list are incorrect
  5. Exactly five statements on this list are incorrect
  6. Exactly six statements on this list are incorrect
  7. Exactly seven statements on this list are incorrect
  8. Exactly eight statements on this list are incorrect
  9. Exactly nine statements on this list are incorrect

Solution

Only one statement can be correct, because each statement contradicts every other statement, which means the remaining eight statements must be incorrect – therefore only statement number 8 is correct.

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