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

Home > Numbers
Arabian Nights (Posted on 2007-02-06) Difficulty: 3 of 5
After 1001 nights, the Great King of Persia, Shahryar, decided not to execute Queen Sheherazade if she passed one final test. The King had 24 children under the age of 10 with an even number of children for each age.

He ordered that 24 chairs be put along the wall. Each time he put a child in an empty chair, Sheherazade was to put a child in any other empty chair. After all the children were placed, the 24 digit number formed by their ages had to be divisible by 1001.

Can you help Sheherazade to stay alive?

No Solution Yet Submitted by Art M    
Rating: 2.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution solution | Comment 1 of 2
Divide the chairs into groups of 6. Then, each group of 6 consists of two groups of 3.  When the King places a child in one of the groups of 3 within a given group of 6, Sheharazade should place another child of the same age into the corresponding position within the other group of 3 in the same group of 6.  At the end, each group of 6 will have the schema abc,abc, assuring divisibility by 1001.
  Posted by Charlie on 2007-02-06 10:38:05
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 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information