Question: Peter tells Caspar and Tim: “My birthday is on one of the following days:”

  • July 4,5 or 8
  • August 6 or 7
  • September 3 or 5
  • October 3,4 or 6

Peter then tells Caspar the day of his birthday and Tim the month of his birthday. Then the following dialogue takes place:

  • Caspar says: “I don’t know Peter’s birthday.”
  • Tim responds: “I don’t know his birthday either, but I already knew you didn’t know.”
  • Then Casper says: “Now I know his birthday!”
  • And Tim adds: “Now I know it too!”

When is Peter’s birthday?

Answer