# who stole Mrs Archer's cake?

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During a recent police investigation, Chief Inspector Stone was interviewing five local villains to try and identify who stole Mrs Archer's cake from the mid-summers fayre. Below is a summary of their statements:

Arnold: it wasn't Edward
it was Brian

Brian: it wasn't Charles
it wasn't Edward

Charles: it was Edward
it wasn't Arnold

Derek: it was Charles
it was Brian

Edward: it was Derek
it wasn't Arnold

It was well known that each suspect told exactly one lie. Can you determine who stole the cake?

posted Aug 24, 2017

Charles stole Mrs Archer's cake from the mid-summers fayre.
Here is how;

1) Brian: it wasn't Charles it wasn't Edward
One of the statement is untrue (each suspect told exactly one lie).
Meaning The thief HAS TO BE EITHER Charles OR Edward

2) Arnold: it wasn't Edward; it was Brian
We know from above that - all other than Charles and Edward are innocent. Using this we conclude that Arnold's "IT was Brian" is a lie - Making the other statement "It wasn't Edward" as TRUE.
Meaning Edward is innocent.

That leaves Charles who must be the thief.

answer Aug 24, 2017

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