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Joe's favorite number (Posted on 2011-04-27) Difficulty: 3 of 5
Joe is either a knight, a liar, or a knave. His favorite number is an integer between 1 and 1000. He makes the following statements about his favorite number:

1. It is odd.
2. It is divisible by 7.
3. It is divisible by 23.
4. It is not divisible by 19.
5. It has an even number of divisors.
6. It ends in 9.

What type is Joe, and what is his favorite number?

See The Solution Submitted by Math Man    
Rating: 4.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
A different type of solutionGamer2011-05-12 05:16:21
possible solutionbroll2011-04-28 03:18:05
Solutionanalytic and computer solutionsCharlie2011-04-27 14:00:18
Solutionspoiler explainedAdy TZIDON2011-04-27 11:54:04
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