All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Logic
More logicians, hats and numbers (Posted on 2006-11-05) Difficulty: 4 of 5
Sam and Pete, two perfectly intelligent logicians, are sitting facing each other, each with a hat on. The number on Pete's hat, they are told, is the sum of two integers larger than 1; the number on Sam's hat is the product of these two integers. The following conversation ensues:

Sam: I don't know the number on my hat.
Pete: I don't know the number on my hat.
Sam: I don't know the number on my hat.
Pete: I don't know the number on my hat.
Sam: I don't know the number on my hat.
Pete: I don't know the number on my hat.
Sam: OK, now I know the number on my hat.
Pete: And I know the number on mine.

What are the numbers on Pete's and Sam's hats?

See The Solution Submitted by JLo    
Rating: 4.1250 (8 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Solutionatheron2006-11-08 03:01:51
SolutionSolutionnikki2006-11-07 18:02:12
Some ThoughtsSome thoughtsatheron2006-11-07 12:47:47
Hints/TipsSpoilerRobby Goetschalckx2006-11-05 19:22:30
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information