Solve If You Can

gazaly

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Nov 21, 2006
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S.A
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.

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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?

PS: There is no trick to the question, just logical deduction
 

pamithK

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  • Jul 21, 2007
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    well the first man has a better ratio than the others..he has only two hats to decide from ..while others have more..

    so a kana guess..will save him..i think its man 1..nless this is something stupid
     

    zCexVe

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  • Sep 12, 2006
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    Gazaly you promised this is truly logical.OK so no messing up.Tricking us.Telling a criminal act involved and BS. :P
    Api ithin gamath galle vadath puluvan ne.:D
    ANSWER.
    situation 1-2,3 wear same colour
    1st one can see 2,3.Since there is 2 black and 2 white if 2,3 wear the same colour, 1st one will shout the other colour.So he wins.
    But if he sees both colours he will not shout.

    situation 2-2,3 wear different colour
    Thinking that 2nd one is aware of what 1st one can think and shout,2nd one will surely know that 1st one didn't shout coz he and 3 wear different colour hats.So he will shout the oppsite colour of the 3rd one.In pictures case he sees black on 3 and will shout"white".
    SO there are 2 answers for 2 situations.Either no 1 or no 2.
    P.S-I dont think this logic can be beaten,I thought of it again :D
    EDIT-ppl here cant seem to understand logic.made it simple.
     
    Last edited:

    ni_shi2005

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    zCexVe said:
    Gazaly you promised this is truly logical.OK so no messing up.Tricking us.Telling a criminal act involved and BS. :P
    Api ithin gamath galle vadath puluvan ne.:D
    ANSWER.
    1st one can see 2,3.Since there is 2 black and 2 white if 2,3 wear the same colour 1st one will shout the other colour.So he wins.But if he sees both colours he will not shout.
    If this happens and thinking that 2nd one is aware of this 2nd one will surely know he and 3 are wearing different colour hats.So he will shout the oppsite colour of the 3rd one.
    SO there are 2 answers for 2 situations.Either no 1 or no 2.
    P.S-I dont think this logic can be beaten,I thought of it again :D

    2nd and 3rd are wearing differnt color hatzzzzzz!!
    ehanam oyage answer 2kama veradi
     

    pamithK

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  • Jul 21, 2007
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    zCexVe said:
    Gazaly you promised this is truly logical.OK so no messing up.Tricking us.Telling a criminal act involved and BS. :P
    Api ithin gamath galle vadath puluvan ne.:D
    ANSWER.
    1st one can see 2,3.Since there is 2 black and 2 white if 2,3 wear the same colour 1st one will shout the other colour.So he wins.But if he sees both colours he will not shout.
    If this happens and thinking that 2nd one is aware of this 2nd one will surely know he and 3 are wearing different colour hats.So he will shout the oppsite colour of the 3rd one.
    SO there are 2 answers for 2 situations.Either no 1 or no 2.
    P.S-I dont think this logic can be beaten,I thought of it again :D

    yeah thats the thing..there are two situations..but if its the one on th epicture..then its tough:confused: :confused:
     

    gihan@elakiri

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    Mar 14, 2007
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    where you live...
    4th man...
    the others can't see the 4th one...
    so .. there is no prob... he can tell whatever he want...
    bisides... your question is "Who is the first person to shout out and why?"
    not "Who's the first man shout out correctly and why?" right?
    so.. who cares???.... anyone can shout...
     

    pamithK

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    gihan@elakiri said:
    4th man...
    the others can't see the 4th one...
    so .. there is no prob... he can tell whatever he want...
    bisides... your question is "Who is the first person to shout out and why?"
    not "Who's the first man shout out correctly and why?" right?
    so.. who cares???.... anyone can shout...

    actually they get hung if they're wrong..so i think they should care:P :P :rofl: :rofl:
     

    zCexVe

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  • Sep 12, 2006
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    ni_shi 2005 said:
    2nd and 3rd are wearing differnt color hatzzzzzz!!
    ehanam oyage answer 2kama veradi
    No the 2nd answer is correct you fool.:P See 1st one cant shout a colour coz he cant actually tell which is on his head.So the 2nd one immediately guesses it and shoutes "white" coz he sees yeah thats the thing..
    pamithk said:
    there are two situations..but if its the one on th epicture..then its tough:confused: :confused: the 3 is wearing black.That is my 2nd answer.:P
    Same goes for you too.