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*~ nasty puzzle..something to think about ~*
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Author Topic: nasty puzzle..something to think about  (Read 784 times)
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steveuk
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« on: December 18, 2005, 04:48:05 PM »
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Hi all I have a nasty little puzzle for you.....If you dont get the answer in a couple of days I will give it to you.

There are three students tied for the top award at their school,but only one prize, so the teacher decides to set them a challenge and the winner get the prize. the teacher sits the three students in a circle so that each one is facing the other two, and she tells them" I am going to place a star on each of your foreheads, it will be a black star or a white star, If when you open your eyes you see one or two black stars you will stamp your foot once, you do nothing for white stars, when you know what colour your star is tell me,you will have to tell me HOW you know the colour" the teacher then places a black star on each of their foreheads, and when they open their eyes they all stamp their feet once, after about ten minutes one of the students calls the teacher over and whispers to her the colour of his star and then tells her how he knows the answer,She tells him he is correct and that he wins the prize......
The question is how did he know??? There is only one answer to this problem..before you ask there are no mirrors or any other way he could have cheated.......this is not a trick..there is an answer...good luck. and merry Xmas
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« Reply #1 on: December 20, 2005, 09:06:30 AM »
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Because everyone (or the two others) stamped their legs he knows he is black... am I right?

Or maybe I'll just wait a day or two longer for your answer.

Thanks
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« Reply #2 on: December 20, 2005, 07:44:48 PM »
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no Im afraid not..they stamp their foot once if they see ONE or two black stars and as each of them can see two others you cannot draw any conclusion from a single stamp.....
******************************I can give a hint..if you dont want a hint read no further********************************











Ok they seem to be in a deadlock..you have to think out of the box on this one....they all have black stars..but what would change if that were not so..say one had a white star.Huh??
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« Reply #3 on: December 21, 2005, 08:44:38 AM »
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Hi Steveuk,
Thanks for your reply.
I know I'm still "in the box" on this one, but if there were any white stars seen by the other two -then they would do nothing. (ie. override the black star instruction and do nothing) -but they didn't -they stamped....

Huh?
am I right? am I right...Huh? ;-)
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« Reply #4 on: December 21, 2005, 07:26:59 PM »
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 Hi I think the best thing I can do is give the answer,,,If you dont want to know read no furtherall the best and merry xmas Grin Grin Grin








..ok here is the answer...you have to look at the whole problem and a bit of lateral thinking is required IE not looking at how things are (they all have black stars) but what if things where different, say one had a white star and how that would affect things... say they were labeled A,B,C,in the problem they all have black stars, now what would happen if A had a white star, A would see B&C both had black stars and would stamp his foot B would see A&C and would see one white and one black star and stamp his foot for Cs black star C would see A had a white star and he would see B stamp his foot(he saw a black star) C knowing that A had a white star knows that the only black star B could see was on him so would know the answer, what colour star he had, this works for B as well, and for any combination, try it out, SO the answer the correct student gave was..."I must have a black star because the other two did not know the answer,if I had a white star they would have got the answer straight away"......hope i have explained this clearly but I did say it was nasty....all the best and merry Xmas to you all
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« Reply #5 on: December 23, 2005, 08:08:17 AM »
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Hi & thanks for the answer.

That was certainly a clever one.

Seasons greetings.
Cheers
Gygafo
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« Reply #6 on: February 01, 2012, 05:49:13 AM »
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mmmmm .... very smart
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« Reply #7 on: September 24, 2012, 06:46:41 PM »
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good reasoning
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« Reply #8 on: September 26, 2014, 11:16:48 PM »
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Wow, that's actually a really good puzzle.  Karma for that one.
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