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

Home > Numbers
Either / Or (Posted on 2006-05-13) Difficulty: 2 of 5
I am a three digit number.
I am either divisible by 3 or by 5.
I am either divisible by 4 or by 6.
I am either divisible by 5 or by 7.
I am either divisible by 6 or by 8.
I am either divisible by 7 or by 9.
I am either divisible by 9 or by 11.

What am I?

(Note: "divisible" means leaving no remainder.)

See The Solution Submitted by tomarken    
Rating: 3.2500 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution A solution, perhaps? | Comment 2 of 19 |

Well, a three digit number that fulfills the series of conditions above is 462 or, written differently, the number whose decomposition leads to the following:

462 = 2.3.7.11

My line of reasoning was guided through a few basic instructions, such as: if a number's decomposition lead to both 3 and 5 factors, whatever the number was wouldn't fulfill the first sentence, and so on.

Thus, the decomposition above will only correspond to one given condition for each pair, and I believe this is one valid solution for this problem. However, a more mathematically labored answer shall provide the answer for whether the problems can be fulfilled by additional answers or not, even though I believe it won't.


  Posted by Phil_Osopher on 2006-05-13 10:21:09
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 (8)
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