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

Home > Numbers
35, 70, 105, 140... (Posted on 2006-05-03) Difficulty: 2 of 5
Find the smallest positive integer that is a multiple of 35 whose digits are all the same.

See The Solution Submitted by Rob    
Rating: 3.0000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips Some Tips | Comment 1 of 8

Since this puzzle corresponds to a particular case of my "Sevens And Zeroes Problem" ( http://perplexus.info/show.php?pid=4348); I underline herewith some salient hints towards a solution of this problem.<o:p></o:p>

(i) Consider that 35=5*7.<o:p></o:p>

(ii) This allows for repetitition of only one digit in terms of the problem.<o:p></o:p>

(iii) Think about the divisibility of 7 and  the associated numbers. This will immediately lead to the solution.  

Edited on May 3, 2006, 9:35 am
  Posted by K Sengupta on 2006-05-03 09:34:58

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