Monday, May 23, 2011

Which of the following statements are true?
  1. Precisely one of these statements is untrue.
  2. Precisely two of these statements are untrue.
  3. Precisely three of these statements are untrue.
  4. Precisely four of these statements are untrue.
  5. Precisely five of these statements are untrue.
  6. Precisely six of these statements are untrue.
  7. Precisely seven of these statements are untrue.
  8. Precisely eight of these statements are untrue.
  9. Precisely nine of these statements are untrue.
  10. Precisely ten of these statements are untrue.

2 comments:

  1. At most one of the statements can be true, because any two true statements contradict each other. If zero of the statements are true, then statement 10 is true, a contradiction. One statement must be true, the others must be false. Statement 9 is true.

    ReplyDelete

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