Home > Logic > Liars and Knights
| Knaves! (Posted on 2012-05-21) |
 |
You meet three people, A, B, and C. One is a knight, one is a liar, and one is a knave.
A:I am a knave.
B:A is a knave.
C:I am not a knave.
Who is a knight, who is a liar, and who is a knave?
|
|
Submitted by Math Man
|
|
Rating: 4.0000 (1 votes)
|
|
|
Solution:
|
(Hide)
|
A is obviously not a knight. Suppose A is a knave. Then, B is telling the truth, so B is a knight. That means that C is the liar. However, a liar cannot tell the truth and say that they are not a knave. Therefore, A is a liar. B is lying, so B is a knave. Finally, C is a knight.
A:liar
B:knave
C:knight
|
Comments: (
You must be logged in to post comments.)
|
|
Please log in:
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:
|
