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

Home > Logic
Divide into Primes (Posted on 2005-09-17) Difficulty: 3 of 5
The coins currently in circulation in Britain are for 1p, 2p, 5p, 10p, 20p, 50p, 100p and 200p. When I gave one of each of these coins to Tom and Harry to share between them, each took two or more coins, with each person's coins' total value equal to a prime number of pence. No coins were left over.

I asked Harry whether his share was a specific number of coins that I mentioned. He said "no".

I then asked Harry whether he had the coin of a denomination I specified. He said "yes".

His two answers allowed me to determine the total of the value that Harry had taken. What was that value?

See The Solution Submitted by Charlie    
Rating: 3.2857 (7 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Question question about problem | Comment 8 of 13 |

Hell all,

  New here, and trying to test my brain a bit. I worked out the coin combinations that were possible for Harry to have, but I am not sure how you figured out what questions were asked.

For the first question: I asked Harry whether his share was a specific number of coins that I mentioned. He said "no". How does everyone know the number asked was five? The number could have been 3, 4, or 5 yes?

Also, for the second question, how do you know he asked whether Harry had the 10p? Why not the 5 or the 20?

Just wondering if I am missing something here. Were we supposed to know the questions already?


  Posted by monica on 2005-09-21 04:04:11
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 (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information