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Puzzle ZIXB 



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Boat Club Boats - Logic Puzzles

At the local model boat club, four friends were talking about their boats.

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.
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.

Can you work out which friends had which coloured boats?

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

 

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