Find My Murderer

Logic Level 1

Mr. X has three enemies and one of them murdered Mr. X.

Enemy A claims, "I did it!"
Enemy B claims, "Enemy C did it!"
Enemy C claims, "Enemy A did it!"

If ALL of Mr. X's enemies are liars, who killed Mr. X?

There is not enough information Enemy A Enemy C Enemy B

4 solutions

Nihar Mahajan
Feb 18, 2016

Since all enemies are liars , we take the opposite of every statement as truth. Now lets see what conclusions we can draw from each statement:

From Statement 1: Enemy A did not commit the crime. So one of $B,C$ is the murderer .

From Statement 2: Enemy C did not commit crime. So one of $A,B$ is the murderer .

By taking the intersection of the bold conclusions from above two statements , clearly $B$ is the murderer.

PS @Zandra Vinegar I don't want you to die , so I have edited the question ^_^ . Also , statement of Enemy C is not needed.

Moderator note:

Simple standard approach.

You want me to die ????

Mr X - 5 years, 3 months ago

Oh sorry , thats a big coincidence :P

Nihar Mahajan - 5 years, 3 months ago

lol, thanks! :) With respect to the redundant words of enemy 3, I considered making him say something false + obviously useless, like "1 + 1 + 1 + 1 = 5," but that seemed... an out of character thing for an enemy to say. ;-)

Also, be warned: I'm going to make a number of other puzzles this week about being murdered, but there is no need to be concerned, I do it just to cut the length of the problems down by an extra few letters, so that one can get to the logic a bit faster.

Zandra Vinegar Staff - 5 years, 3 months ago

Kay Xspre
Feb 18, 2016

Inverting the words of A and B will results into A and C not doing, so B is the killer.

Diana Bradish
Apr 4, 2020

Enemy A didn’t kill him. Enemy C didn’t murder him. That leaves Enemy B as the murderer.

Jase Jason
Mar 17, 2016

In real life, though... I did it! Alright, you're under arrest. Release everyone else.

Find My Murderer

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