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

Home > Numbers > Sequences
Magic Keyring (Posted on 2005-03-28) Difficulty: 3 of 5

Engrave numbers on 5 keys on a circular keyring so that the numbers on adjacent groups of keys sum to any value between 1 and 21 inclusively.

For example, 1,1,3,6,6 can sum up to any number between 1 and 17 (1=1, 1+1=2, 3=3, 3+1=4, 3+1+1=5, 6=6, 6+1=7, 6+1+1=8, 6+3=9, 6+3+1=10, etc).

See The Solution Submitted by Erik O.    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Full Solution ( 7 Keys Version) | Comment 5 of 6 |
Using similar logic in solving this problem, it can be easily shown that when the numbers (44,3,1,5,2,10,22) in that order are engraved on 7 keys in a  Circular Keyring, the numbers on adjacent groups of keys sum to any value between 1 and 87 inclusively.

Edited on November 14, 2005, 1:51 am
  Posted by K Sengupta on 2005-11-14 01:46:47

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 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information