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 Two Digit Number (Posted on 2008-05-30)
Alex, Bert, and Carl know a secret two digit number. It is known that one of them is a knight who always tells the truth, one is a liar who makes all false statements, and one is a knave who alternates between true and false statements. Each one of them makes statements about the number as follows:

Alex:
1: One digit is 1.
2: The sum of the digits is 8.
3: Bert's second statement is false.

Bert:
1: One digit is 3.
2: The difference of the digits is 4.
3: Exactly one of Carl's statements is true.

Carl:
1: One digit is 6.
2: Alex's first statement is false.
3: The first digit is larger.

What is the secret number?

 See The Solution Submitted by Brian Smith Rating: 3.5000 (2 votes)

 Subject Author Date sol Andre 2010-05-24 18:14:46 Solution K Sengupta 2008-06-03 16:28:38 Solution hoodat 2008-06-03 16:23:39 solution Paul 2008-05-30 16:32:47

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