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Puzzle 241
The local River Trent is 4,100 inches wide, which happens to be a fantastic number.
There is a magnificent, perfectly straight, bridge that spans the river at right angles.
During a recent survey of the area, it was found that one-seventh of the overall length of the bridge was on one bank of the river, and one-eighth of the bridge was on the other bank.
What is the total length of the bridge that spans the River Trent?
Four clowns were getting ready for the evening's performance. From the clothing department, 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 the colours of their shoes and socks?
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.
Hint
Try matching the sock colours to the shoe colours first.
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, which is 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. So, 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].
It is now four years since I first asked for support, and I would like to sincerely thank everyone who has helped me. BrainBashers doesn't show adverts, and I continue to depend on the ongoing support from everyone who enjoys the site.
