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Boat Club Boatsall logic puzzles
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.
Can you work out the correct colours?
Puzzle Copyright © Kevin Stone
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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