# Puzzle of 4 Criminals !!

الكاتب : Seeking_Truth   المشاهدات : 2,356   الردود : 9    ‏2006-11-04
مشاركة رقم : 1    ‏2006-11-04
1. ### Seeking_Truthعضو متميّز

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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?

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

Ans : Scroll down.

The solution to the puzzle

The man who calls out is Number 2.

Why?

After a short time, Number 1 has not shouted out what colour hat he is wearing.
Because of this number 2 knows that he cannot be wearing the same colour hat as the person in front of him.
If he was then number 1 would see two black hats and would therefore know that his hat must be white.

Armed with the knowledge that :-
He isn't wearing the same colour hat as the man in front.
The man in front is wearing a black hat.
number two can confidently shout out that the hat he is wearing is white. Easy wasn't it!

2.   مشاركة رقم : 2    ‏2006-11-04
3. ### Seeking_Truthعضو متميّز

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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?

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

Ans : Scroll down.

The solution to the puzzle

The man who calls out is Number 2.

Why?

After a short time, Number 1 has not shouted out what colour hat he is wearing.
Because of this number 2 knows that he cannot be wearing the same colour hat as the person in front of him.
If he was then number 1 would see two black hats and would therefore know that his hat must be white.

Armed with the knowledge that :-
He isn't wearing the same colour hat as the man in front.
The man in front is wearing a black hat.
number two can confidently shout out that the hat he is wearing is white. Easy wasn't it!

4.   مشاركة رقم : 3    ‏2006-11-04
5. ### َal-Qatariعضو

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Hi speaking-truth..
i think number one is also must have known the color of the hat "a ssumming that the criminal which is infront of him is wearing the oppsite color UNLESS IF HE IS STUPIDE" ... what do you think .....! let me know with my point

6.   مشاركة رقم : 4    ‏2006-11-04
7. ### samiahمشرف سابق

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number one could have shout to right sister assuming that 1,2 can see the hats infront of them that's what i think..

8.   مشاركة رقم : 5    ‏2006-11-05
9. ### Seeking_Truthعضو متميّز

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both of you al_Qatri & sis Samia , it is really the same as wat i though but, to be more honest i copied it as it is to discuss the answer more deeply maybe there is a hint out of that or it is just a Stupide answer as well ..
looking forward from both of you ..

al_Qatri my nickname is : Seeking_truth **
but there were a mistake in typing while i was registering ..

10.   مشاركة رقم : 6    ‏2006-11-06
11. ### َal-Qatariعضو

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THanks Allah, there was a typed Mistake while you were Registering.. But not mistaked with my eyes warm Regards

12.   مشاركة رقم : 7    ‏2006-11-08
13. ### SamiAlganheyعضو متميّز

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Great Post
I also Agree with
َal-Qatari
and
Samiah
and You as well

But Thanks Anyways

14.   مشاركة رقم : 8    ‏2006-11-08
15. ### SamiAlganheyعضو متميّز

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Great Post
I also Agree with
َal-Qatari
and
Samiah
and You as well

But Thanks Anyways

16.   مشاركة رقم : 9    ‏2006-11-08
17. ### Seeking_Truthعضو متميّز

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well guyz i'm waiting for ur resolutions ... i don't have that much energy to think abt this puzzle .. lol .. otherwise i'm going to ask the one who sent it to me

18.   مشاركة رقم : 10    ‏2006-11-11
19. ### رائع جداعضو

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Hey Guys..... It must be the same answer as seeking truth said. simply cauz no. 1 doesn't know what is the color of his hat and there are two opposit colors in front of him. Ho can't figure out wheater the color of his hat is white or black. So after No1 being silent 4 a while No.2 gets to know that No.1 is not sure and hence he inducts that No.1 is wearing the same hat of No.3. If No. 2 and 3 are wearing the same color No.1 would be certain that his hat color is just the opposite

Good Puzzle Seeking-Truth
Waiting 4 more

all the best ​