perplexus.info :: Liars and Knights : Drew and Mohammad

Home > Logic > Liars and Knights

Drew and Mohammad (Posted on 2003-04-08)

A man named Drew said:

"Mohammad and I are both liars."

What are each?

See The Solution Submitted by Tim Axoy

Rating: 3.6154 (13 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

explanation for puzzle answer

Comment 46 of 46 |

(In reply to answer by K Sengupta)

Assume that Drew is a knight. Then, he has just lied about his own identity. This is a contradiction.

Accordingly, Drew is a liar. Hence, his statement that both Mohammed and himself are liars must be false. Thus, precisely one of them is a liar and the other is a knight.

Since, it has been established that Drew is a liar, it follows that Mohammed must be the Knight.

Posted by K Sengupta on 2022-02-25 02:28:11

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info