Post Office burglary

Logic Level 2

After a local Post Office burglary, four suspects were being interviewed. Below is a summary of their statements. The police know that each of them told the truth in one of the statements and lied in the other. From this information, who committed the crime?
Alan said:
It wasn't Derek
It wasn't Brian

Brian said: It wasn't Charles
It was Derek

Charles said:
It was Alan
It wasn't Derek

Derek said:
It was Charles
It wasn't Alan

Charles Brian Derek Alan

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Kenny O.
Sep 14, 2017

Method 1:
One of the 2 statements Alan made is a lie, meaning that either Brian or Derek committed the crime.
If it was Derek, both of Charles' statements are lies, meaning it isn't Derek as everyone told 1 false sentence and 1 true sentence.
If it was Brian , there are no contradictions, meaning Brian is the one who committed the crime.
Method 2:
If the person committing the crime is Alan, both of Charles sentences would be true and both Derek's sentences are false.
If it was Charles, both of the sentences Brian made are false and both Derek's sentences are true.
If it was Derek, both of Brian's sentences would be true and both of Charles' sentences are false.
As 2 people are not speaking one lie and one truth in these scenarios, Alan, Charles and Derek are not the one who committed the crime, meaning it is Brian .

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...