This is a cute puzzle I found today in a Martin Gardner book, while attending a Mathematical Circles class at Alok Mittal’s home. Very cute – only a 2 minute puzzle!

Evaluate each of the 10 statements s to its truth or falsity:

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

As always, please send your answers directly to me at alokgoyal_2001@yahoo.com. If you like the puzzle, please share it with others. If you have interesting puzzles to share, please send them to me at my e-mail given above.

Happy searching for the truth!