Puzzling Asked by Tony De Jesus on April 28, 2021
I’m hosting game night at my regular bar, and I’m gong to stage a murder mystery. Each of the suspect will make 4 statements, one of which is known to be a lie.
I tried to construct it as soundly as I could, using a grid to check each person’s lies and truths. I based it roughly on this other puzzle I found here:
Who is the thief? An elementary school teacher had her purse stolen
I just want to check that it’s interesting enough and that the logic checks out.
Kevin (the bar owner) is murdered, and there are four suspects. A partially-burned note is found in the garbage (I know, it’s just a game) that says “I know you paid to have Kevin killed, pay me or suffer the consequences”. The game is to identify the killer, the person who hired the murderer, and the blackmailer (revealing the last person as totally innocent).
Here are the four statements of all the suspects, can you solve it? I’d appreciate it if you could point out any logical errors and ways to improve or fix the puzzle, thanks.
Matt: I did not kill Kevin
Amy: I did not kill Kevin
Graham: I did not kill Kevin
Kristen: I did not kill Kevin
Matt: I’ve known Amy all my life, she’ll vouch for me
Amy: I don’t know what Matt’s talking about, I only met him a few months ago
Graham: Amy doesn’t know who did it
Kristen: Matt knows who did it
Matt: I’m totally innocent in all matters regarding this crime
Amy: Kristen knows I didn’t kill Kevin
Graham: Kristen knows who did it
Kristen: Matt killed Kevin
Matt: Graham killed Kevin
Amy: Kristen killed Kevin
Graham: Kristen is not the blackmailer
Kristen: Amy is the blackmailer
Thanks for your help!
Taking the rules to mean that each person makes exactly one false statement, I think this puzzle currently has a unique solution, as intended:
Here's how the reasoning goes:
Now Graham's
Now Amy
Kristen
So now we have established that
What does Matt have to say?
This establishes the identities of the criminals as given at the top of this answer. My only qualms are
Correct answer by Gareth McCaughan on April 28, 2021
Alternate path to solution:
Answered by Mark Tilford on April 28, 2021
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