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

Home > Numbers
The magic Number (Posted on 2004-03-17) Difficulty: 1 of 5
Whats the smallest number ("the magic number") that can satisfy these conditions?

- its positive

- it is not divisible by any number below 20 (excluding 1)

- the average of the digits is an even number between 3 and 9

See The Solution Submitted by Victor Zapana    
Rating: 3.3333 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Source of confusion | Comment 22 of 35 |
Here is the problem as I see it.
When I read "the average of the digits is an even number between 3 and 9" my brain interpreted "even" as "whole number"

I assume this is because I know the average of a set of numbers is not usually a whole number.

In fact, had the orginal statement used "whole" rather than "even" the solution whould be 37 - the conclusion I jumped to.

Although the wording as it stands is _not_ ambiguous, is can be wrongly interpreted.

A better wording may be

- the average of the digits is an even whole number between 3 and 9

For a really easy problem this one has sparked quite the discussion.

-Jer
  Posted by Jer on 2004-03-19 12:28:38
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 (9)
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