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

Home > Numbers
Palindromic and Tautonymic (Posted on 2009-03-03) Difficulty: 2 of 5
Make a list of distinct positive integers that are obtained by assigning a different decimal digit from 1 to 9 to each of the capital letters in bold in this expression.

                           (AB)/C + (DE)/F + (GH)/I

How many of these integers are palindromes? How many are tautonymic numbers?

A tautonymic number is one which can be divided into two equal non-palindromic halves, with each part having at least two different digits. For example, each of 3636, 5252, 6767, 276276 and 56635663 is a tautonymic number - but, none of 4444 and 555555 is a tautonymic number.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): for the actual first questionCharlie2009-03-03 16:24:46
Solutionre: for the actual first questionCharlie2009-03-03 16:22:08
Solutionfor the actual first questionCharlie2009-03-03 16:19:49
Solutioncomputer solutionCharlie2009-03-03 14:07:14
Computer SolutionDaniel2009-03-03 13:29:50
Please log in:
Remember me:
Sign up! | Forgot password

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

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