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

Home > Logic
I WONDER (Posted on 2011-01-13) Difficulty: 4 of 5

Read carefully, then post your answer.


Can you provide a simple YES or NO correct answer to the question :
Is 1010101......101 (n ones interwoven with n-1 zeroes) evenly divisible (i.e. without remainder) by 1111(a string of n ones)?

Rem: n>1

See The Solution Submitted by Ady TZIDON    
Rating: 4.0000 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Playing. | Comment 6 of 10 |
When first seen I assumed this was binary but then considered base 10.

Having discovered a similarity of result I tried several bases between 2 and 10.  This was done in a spreadsheet but the result was as indicated by Jer

From that I concluded that I can provide an emphatic NO the question but if I am allowed to make a conditional response dependent upon the value of 'n' then my qualified answer is:
NO, but IF .....
              n is odd there is divisibility.
              n is even there is no divisibility.



  Posted by brianjn on 2011-01-14 03:52:14
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