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

Home > Numbers
Your Ducky Number (Posted on 2003-11-07) Difficulty: 3 of 5
For many years now Baron GŁnnstefen has gone to a lake every day to hunt ducks. Every day starting on August 1, 2000, he says to his cook: "Today I shot more ducks than two days ago, but fewer than a week ago." For how many days can the baron say this?

(Assume he is never lying.)

See The Solution Submitted by DJ    
Rating: 4.1111 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution | Comment 6 of 14 |
Denote the Baron's sequence of ducks as d1, d2, d3, d4, d5, d6, d7, d8, and d9.

Eight days is possible.
"I shot more ducks than two days ago" means d8>d6>d4>d2 and d7>d5>d3>d1.
"But fewer than a week ago" forces d1 to d8 to satisfy the following inequality:

Nine days is impossible. The quote from the problem requires d2>d9>d7, but the inequality for eight days has d7>d2.

The answer to the problem is eight days.
  Posted by Brian Smith on 2003-11-07 11:05:15
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information