wanna try to solve this LOGICAL Thinking question?


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Bluewater

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Jun 20, 2004
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#1
wanna try to solve this LOGICAL Thinking question?
quite fun .....
try and see whether u can solve it....

4 criminals are caught and are to be punished. The Judge allows them to be freed if they can solve a puzzle. If they do not, they will be hung. They agreed.




The 4 criminals are lined up on some steps (shown in picture). They are all facing in the same direction. A wall seperates the fourth man from the other three.

So to summarise :-
Man 1 can see men 2 and 3.
Man 2 can see man 3.
Man 3 can see none of the others.
Man 4 can see none of the others.

The criminals are wearing hats. They are told that there are two white hats and two black hats. The men initally don't know what colour hat they are wearing. They are told to shout out the colour of the hat that they are wearing as soon as they know for certain what colour it is.

They are not allowed to turn round or move.
They are not allowed to talk to each other.
They are not allowed to take their hats off.

Who is the first person to shout out and why?
 

zaren

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Oct 27, 2003
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#2
number 2 is the first one to shout out.

he knows that his hat must be a different colour from number three because if they were the same colour, number 1 would have shouted out already (knowing that number 1's hat colour must be different from numbers 2 and 3).

so....if number 3's hat is white, number 2 knows his hat is black and vice versa.
 

jOhO

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Apr 20, 2003
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#3
zaren said:
number 2 is the first one to shout out.

he knows that his hat must be a different colour from number three because if they were the same colour, number 1 would have shouted out already (knowing that number 1's hat colour must be different from numbers 2 and 3).

so....if number 3's hat is white, number 2 knows his hat is black and vice versa.
sounds good to me! :thumbsup:

so is that the correct ans?
 

Drudkh

Senior Member
Mar 2, 2004
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#4
jOhO said:
sounds good to me! :thumbsup:

so is that the correct ans?
yup, this was a very old question. read this like few years ago.
 

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