After a local bank robbery, five suspects were interviewed.
Below is a summary of their statements.
Police know that each of them told the truth in one of the statements and lied in the other.
From this information, can you work out who committed the crime?
Billie said: It wasn't Chris It was Alex Drew said: It was Chris It wasn't Alex Chris said: It was Billie It wasn't Emery Alex said: It was Emery It wasn't Billie Emery said: It was Drew It was Alex
At the local model boat club, four friends were talking about their boats.
Alex didn't have a yellow boat. Billie didn't have a red boat, but did have a green one. One of the friends had a yellow boat, and a blue boat. Another friend had a green boat, and a blue boat. Charlie had a yellow boat. Drew had a blue boat, but didn't have a green one.
There were a total of eight boats, two in each colour: red, green, blue, and yellow.
Each friend owned two boats, and no friend had two boats of the same colour.
Answer
Alex Red + Green
Billie Green + Blue
Charlie Yellow + Red
Drew Blue + Yellow
Reasoning
By (3), Yellow and Blue went together (Combination1: Yellow + Blue).
By (4), Green and Blue went together (Combination2: Green + Blue).
By (2), Billie had Green. By (5), Charlie had Yellow. By (6), Drew had Blue. Giving:
Alex
Billie Green
Charlie Yellow
Drew Blue
By (6), Drew had Blue, but not Green. This can't have been (Combination2: Green + Blue), so must have been (Combination1: Yellow + Blue):
Alex
Billie Green
Charlie Yellow
Drew Blue + Yellow
By (2), Billie didn't have Red, so Alex and Charlie must have had Red:
Alex Red
Billie Green
Charlie Yellow + Red
Drew Blue + Yellow
Which means that Billie had (Combination2: Green + Blue), and Alex had Green:
Alex Red + Green
Billie Green + Blue
Charlie Yellow + Red
Drew Blue + Yellow
