Clown Party - Logic Puzzles
Four clowns were getting ready for the evening's performance. From the clothes trunk, each clown had to get their socks and shoes.
There was one pair of shoes in each colour, and one pair of socks in each colour.
Can you tell who had which colour socks and which colour shoes?
The red socks went with the blue shoes.
Baba had yellow shoes, but not yellow socks.
The clown with green shoes did not have blue socks.
Boba had neither red shoes nor red socks.
Bilpo's shoes were the same colour as Babil's socks.
The clown with red shoes had green socks.
Puzzle Copyright © Kevin Stone
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Answer
Baba
Blue socks and Yellow shoes.
Boba
Yellow socks and Green shoes.
Bilpo
Green socks and Red shoes.
Babil
Red socks and Blue shoes.
Reasoning
We had these colours: Red, Blue, Yellow, Green.
We had these clowns: Baba, Boba, Bilpo, Babil.
Let's match sock colours to shoe colours.
By (1) Red socks went with Blue shoes.
By (6) Green socks went with Red shoes.
By (3) Yellows socks must have gone with Green shoes.
Therefore, Blue socks went with Yellow shoes – confirmed with (2).
In summary:
Socks : Shoes
--------------
Red : Blue
Green : Red
Yellow : Green
Blue : Yellow
By (2) Baba had Blue socks and Yellow shoes.
By (4) Boba didn't have Red socks or Red shoes (and Baba had the Blue socks), so must have had Yellow socks and Green shoes.
By (5) Bilpo's shoes were the same colour as Babil's socks – we only have Red & Green socks left, and Blue & Red shoes. Therefore, Babil's socks can only have been Red (with Blue shoes).
Leaving Bilpo with Green socks and Red shoes.
Double-Checking
1. The red socks went with the blue shoes [Babil].
2. Baba had yellow shoes but not yellow socks [had Blue].
3. The clown with green shoes did not have blue socks [had Yellow].
4. Boba had neither red shoes nor red socks [had Green shoes and Yellow socks].
5. Bilpo's shoes were the same colour as Babil's socks [Red].
6. The clown with red shoes had green socks [Bilpo].
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