Super Hard Brain Teaser
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Super Hard Brain Teaser
Warning: This may be the single hardest brain teaser of all time.
Stinky, Loof, and Qookie are in a room that contains a box with five hats in it- three blue, two red. Someone flicks off the lights so it is completely dark. Each of the three Stinkers takes a hat from the box and puts it on. When the lights are turned back on, each Stinker can see the other Stinkers' hats but not their own or the ones left in the box. Stinky says he can't work out what color his hat is, and Qookie says she can't work hers out either, at which point Loof says, "I know!" What color is Loof's hat, and how does he know? And by the way- Loof is blindfolded.
This is not a trick question. Can you figure it out?
Stinky, Loof, and Qookie are in a room that contains a box with five hats in it- three blue, two red. Someone flicks off the lights so it is completely dark. Each of the three Stinkers takes a hat from the box and puts it on. When the lights are turned back on, each Stinker can see the other Stinkers' hats but not their own or the ones left in the box. Stinky says he can't work out what color his hat is, and Qookie says she can't work hers out either, at which point Loof says, "I know!" What color is Loof's hat, and how does he know? And by the way- Loof is blindfolded.
This is not a trick question. Can you figure it out?
I'm thinking a question like that must have already appeared in some Newletter issue's Peegue's Puzzle Page. These types of puzzles are called induction puzzles and are not uncommon.
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@cbloopy: I checked. It was not in the newsletter, but in a puzzle book I got as a gift.
I did change the wording a bit- Stinky, Loof, and Qookie were actually Janet, Jules, and Jim in the original problem.
@jdl: Did I mention something about it not being a trick question?
But seriously, there's a perfectly logical explanation for this. You just need to think really hard.
I did change the wording a bit- Stinky, Loof, and Qookie were actually Janet, Jules, and Jim in the original problem.
@jdl: Did I mention something about it not being a trick question?
But seriously, there's a perfectly logical explanation for this. You just need to think really hard.
Ok, I think I've got the answer!
Loof is wearing a blue hat.
This is solved by induction (highlight to read).
Loof is wearing a blue hat.
This is solved by induction (highlight to read).
If Loof was wearing a red hat, then Stinky could conclude that he must be wearing a blue hat, because if he was wearing a red hat, Qookie would know the colour of her hat. Same with Qookie. Therefore, Loof must be wearing a blue hat!
Last edited by mqdar on Wed May 13, 2009 12:51 am, edited 1 time in total.
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Yeah!Emerald141 wrote:BRILLIANT, MQDAR!
I wasn't counting on anybody solving that one for, oh, two weeks at least.
I edited my post a little. I'ts not indirect logic, it's induction!
Skype wrote:[7:23:42 AM] Darx: Click here to give me an internet!
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Could you edit it again so that you need to highlight the answer to read it?
EDIT: Thanks!
EDIT: Thanks!
Last edited by Emerald141 on Wed May 13, 2009 8:26 pm, edited 2 times in total.
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Oh well. I liked figuring out though! It's not as if I'm trying to ruin it for everyone else.Emerald141 wrote:Dang. I should have thought of that before.
Good idea, though... I'll see what I can find and submit it to him!
Skype wrote:[7:23:42 AM] Darx: Click here to give me an internet!
[7:23:57 AM] 'a'a: *clicks here*
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Whoops to late
I am going to see it soon anyway so it doesn't matter.
I not good at having my own opinion anyway.
I am going to see it soon anyway so it doesn't matter.
I not good at having my own opinion anyway.
Last edited by billy bob on Wed Mar 17, 2010 4:33 pm, edited 1 time in total.
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