Eight logicians stand one behind the other facing an opaque wall such that 3 are on one side and 5 are on the other. None of the logicians can turn around or see beyond the wall.
Each wears a black or white hat as shown below; '|' represents the wall; capital letters are used to identify the logicians; b and w refer to black and white respectively:
w b w | b w b w b A B C | D E F G H
Each knows the location of the others and the quantity of each colour of hat. They also know that all hats of same colour are not on the same side. Logician should announce the colour of owned hat once sure.
Considering that all logicians think at the same speed, who will be the first to declare having which colour? How many can come to know the colour of owned hat and in what order?
Considering that all logicians think at the same speed, who will be the first to declare having which colour? How many can come to know the colour of owned hat and in what order?
| See The Solution | Submitted by Salil |
| Rating: 2.8000 (5 votes) |
re(2): i think i got it.....?
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 | Comment 4 of 8 |  |
(In reply to re: i think i got it.....? by a)
helpful hint to a:
There is no pattern. Just because you see one does not mean it is real. What I am trying to get at here is that there is nothing to say that it isnt like:
bbw|bwbww
ABC|DEFGH
In this setup, H could still see the "pattern" bwbw. H cannot assume that there is a pattern involved and so neither can you.
| Posted by trey on 2006-07-10 00:28:49 |
