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

Home > Logic > Liars and Knights
Arm Appraisal (Posted on 2012-09-04) Difficulty: 3 of 5
A distant planet is inhabited by creatures having more than two arms. The ones with an even number of arms are the knights who always tell the truth; the ones with an odd number of arms are the liars who always speak falsely.

The rules of the planet allow only creatures having eight, nine or ten arms to work as guards. Four guards were conversing amongst themselves:
  • The amber one said, "The azure one and I have 19 arms together."
  • The azure one said, "The jade one and I have 18 arms together."
  • The jade one said, "The ivory one and I have 18 arms together."
  • The ivory one said, "The amber one and I have 19 arms together."
How many arms does each guard have?

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
Amber has 9 arms.
Azure has 9 arms.
Jade has 8 arms.
Ivory has 10 arms.

For a detailed explanation, refer to the solution submitted by Math Man in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSlightly different solutiontomarken2014-03-24 14:16:43
re: Armsjoe2013-02-27 12:21:04
SolutionArmsMath Man2012-09-17 22:53:23
Solutioncomputer solutionCharlie2012-09-04 10:53:59
SolutionChris, PhD2012-09-04 10:13:29
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
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