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Find the Murderess

Logic puzzles require you to think. You will have to be logical in your reasoning.


Puzzle ID:#1346
Fun:*** (2.58)
Difficulty:*** (2.29)
Submitted By:Yanivster***
Corrected By:boodler




Three women - Anna, Barbara and Jayne were arrested for the murder of Susan. One of these three was the murderess, one was an accomplice, and one was innocent.

Three statements were collected:
A. "Anna was not the accomplice"
B. "Barbara is not the murderess"
C. "Jayne is not innocent"
The following facts are also known:
1. A statement does not concern the woman who gave it.
2. The innocent woman gave at least one statement.
3. Only the innocent woman tells the truth.

Which woman is the murderess?


The innocent woman gave one or two statements. If she gave one statement, then the other two must be false, but that situation is not possible, because you always come to a discrepancy. So she must have given two statements. Those statements must be A and B (that's the only way it works out), which means that Anna is the murderess.

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Mar 30, 2002

rather easy.. i did it in my head in about 10 secs.
Apr 04, 2002

Very good! Took me a while to figure out! Keep up the good work!
Apr 13, 2002

Nice one. It had me stumped for a little while, but, than I firgured it out.
May 21, 2002

I bet half the people that say they got it right, actually got it wrong!
Jun 13, 2002

Still have problems understanding.
Jun 17, 2002

i got it right but i got it a dif way than u! i dont understand ur way
Jul 04, 2002

I don't really get this one
Jul 30, 2002

it could have been Jayne was the murderess and Barbara was the accomplice and that Anna was innoccet, because all of the statements were pointing in the negative direction. No one ever said that they were innocent. Also the three women could have all given one of these comments against one of the others and not themselves, and not jus one woman giving two of the statements and one of the others giving the third.
Jul 30, 2002

George is wrong. If Anna is innocent, then A is a true statement about her given by someone else - but both the others would be liars.
Likewise, if Barbara is innocent, then B must be a true statement given by a liar.
So the only possibility is that Jayne is innocent, and either A or B must be her statement that is true.
But if one is true, the other must be true also (given that Jayne is innocent), so she made both statements and they are both true.
Jan 15, 2004

I can't make sence of this one
Feb 10, 2006

Hi, I racked my brain on this one and still came up with Barbara
May i'll get the next one...
Good job, very clever
Mar 13, 2007

This was tough! Must have taken me nearly half an hour!

George (above) said: Jane murderer, Barb accomp, Anna innocent. If so, the first statement would be TRUE, and the true statement can only be said by the innocent (Anna) and the statements can't be said about one's self. Anna couldn't say "Anna is not the accomplice".

A very fun teaser! I love a good challenge!
Mar 13, 2007

Sputnik felt Barbara was the murderer. But if Barb was then:
"Barbara is not the murderess" has to be FALSE
"Anna was not the accomplice" was either said by Barbara (would be FALSE) or by Jayne (would have to be innocent).
If FALSE, then Anna WAS accomplice and Jayne innocent- last statement has to be true and could not be said by Jayne about herself.
If TRUE, then Jayne is accomplice and Anna innocent. Anna cannot make the true statement about herself.

I just loved this teaser!
Aug 16, 2009

so easy i thought i had missed something very fun tho

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