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 Billie
Billie: it wasn't Charlie
it wasn't Emery
Charlie: it was Emery
it wasn't Alex
Dale: it was Charlie
it was Billie
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 Billie'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 Billie.
Therefore, it must have been Charlie who committed the crime.
Double-checking this against the other statements confirms this.
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