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

Home > Logic > Liars and Knights
Burger Buddies (Posted on 2003-11-27) Difficulty: 3 of 5
Three people decide to go out for burgers. They are either Knights, which always tell the truth, Knaves, which tell truths and lies in an alternating pattern, or Liars, which always tell lies.

They each want a burger, and want to get 4 toppings from the list of 7 (ketchup, mustard, onions, relish, tomato, cheese, lettuce) and give their order as follows:

A: I want ketchup, mustard, onions, lettuce, relish.

B: A wants tomato too, and he doesn't want mustard. I want ketchup, tomato, cheese, lettuce.

C: B doesn't want ketchup, and he doesn't want mustard. A doesn't want relish. I want mustard, tomato, cheese, lettuce.

After giving the orders to the burger cooker, he figures out what they want.(as anyone who can cook well must be really intelligent)

If all three people didn't all want a certain topping, what do the three people actually want as their four toppings on their burger?

(Note: I placed commas and periods to remind that each item/statement separated by commas is a separate statement.)

See The Solution Submitted by Gamer    
Rating: 4.2000 (10 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts A consistent set | Comment 6 of 18 |
This set is similar to Victor Zapana's list: A is a knave, B is a knight, and C is a knave.

A wants ketchup, onions, relish, and tomato.

B wants ketchup, tomato, cheese, and lettuce.

but
C wants mustard, cheese, and two of the following: relish, ketchup and onions.

There's no way to determin, in this scenario, which two of that set of three that C wants.

And I can't guarantee there aren't other solutions altogether.


  Posted by Charlie on 2003-11-28 00:47:02
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