## Mrs. Archer’s Cake

May 29th, 2015 by Math Tricks | No Comments | Filed in Logic Puzzles

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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?

Thanks to BrainBashers

```© Kevin Stone [www.brainbashers.com] ```

Answer: Charles committed the terrible crime.

Looking at Brian’s statements, one of the statements was a lie and the other was the truth. Therefore it must have been either Charles or Edward.

Looking at Derek’s statements, for the same reason, it was either Charles or Brian.

Therefore it must have been Charles who committed the crime. Double checking this against the other statements confirms this.