Riddle #614 (medium)

Question: A book has 500 pages:

  • The 1st page says "Exactly 1 page in this book is false."
  • The 2nd page says "Exactly 2 pages in this book are false."
  • ...
  • The 500th page says "Exactly 500 pages in this book are false."
Can any of the pages be true?


Riddle #615 (medium)

Question: The more of me you have, the longer your life.
The more of me you have, the less you have left.

What am I?

Question: You are playing a game of dodge ball with two other people, John and Tom. You're standing in a triangle and you all take turns throwing at one of the others of your choosing until there is only one person remaining. You have a 30 percent chance of hitting someone you aim at, John has a 50 percent chance, and Tom a 100 percent change (he never misses). If you hit somebody they are out and no longer get a turn.

If the order of throwing is you, John, then Tom; what should you do to have the best chance of winning?

Question: An ant gets onto one end of a tight rope that is 1 meter long. The ant is traveling at 1 centimeter per second, but the entire rope is being stretched an extra 1 meter (1,000 centimeters) a second (it can be stretched forever).

Will the ant ever reach the other end of the rope?

Riddle #618 (medium)

Question: You put me on a table and cut me, but you don't eat me.

What am I?