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 Arm Appraisal (Posted on 2012-09-04)
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.

 Subject Author Date Slightly different solution tomarken 2014-03-24 14:16:43 re: Arms joe 2013-02-27 12:21:04 Arms Math Man 2012-09-17 22:53:23 computer solution Charlie 2012-09-04 10:53:59 Solution Chris, PhD 2012-09-04 10:13:29

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