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Puzzle ZFSC 



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Cake Theft - Logic Puzzles

During a recent police investigation, Chief Inspector Stone was interviewing five local villains to try and identify who stole the prize cake from the mid-summers fayre. Below is a summary of their statements:
Alex:    it wasn't Emery
         it was Blake

Blake:   it wasn't Charlie
         it wasn't Emery

Charlie: it was Emery
         it wasn't Alex

Dale:    it was Charlie
         it was Blake

Emery:   it was Dale
         it wasn't Alex

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

Puzzle Copyright © Kevin Stone

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Answer
Charlie committed the terrible crime.

Reasoning
Looking at Blake's statements, one of the statements was a lie and the other was the truth. Therefore, it must have been either Charlie or Emery.

Looking at Dale's statements, for the same reason, it was either Charlie or Blake.

Therefore, it must have been Charlie who committed the crime.

Double-checking this against the other statements confirms this.

 

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