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

Home > Numbers
Number = Power Remainder (Posted on 2009-08-20) Difficulty: 2 of 5
Determine all possible value(s) of a 4-digit non leading zero base ten positive integer x such that the remainder obtained upon dividing 2x by 10,000 is equal to x.

What are the possible value(s) of a 4-digit non leading zero base ten positive integer x such that the remainder obtained upon dividing 3x by 10,000 is equal to x?

  Submitted by K Sengupta    
No Rating
Solution: (Hide)
For Part A, the the only possible value of x is 8736.

For Part B, the the only possible value of x is 5387.

For an explanation, refer to the respective solutions submitted by Charlie in this location and by Daniel in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutioncomputer solutionsCharlie2009-08-20 11:40:14
Qbasic solutionDaniel2009-08-20 11:24:10
Mathematica solutionDaniel2009-08-20 11:17:59
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 (10)
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