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Home > Logic > Liars and Knights
Two Digit Number (Posted on 2008-05-30) Difficulty: 2 of 5
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)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
solAndre2010-05-24 18:14:46
SolutionSolutionK Sengupta2008-06-03 16:28:38
SolutionSolutionhoodat2008-06-03 16:23:39
SolutionsolutionPaul2008-05-30 16:32:47
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