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.)
re: Solution | Comment 7 of 14 |
(In reply to Solution by Brian Smith)

Regarding

"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:
d7>d5>d3>d1>d8>d6>d4>d2

But d2 has to be greater than d0 (not mentioned but must be existing) while d7 must be less than d0 (so we can't ignore it on the assumption that he wasn't hunting then). So d6 is the last day it would work.
  Posted by Charlie on 2003-11-07 11:23:44

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 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information