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Easy Logic Problems
in ancient times, four mathematicions discoverd a games of l

Thu Jan 17, 2013 11:37 pm  by tartle

in ancient times, four mathematicions discoverd a games of logic.The four people were mr macdonald,mr franke,mr kennedy and mrs smarma. mr kennedy seated the other three people one behind the other so that mr macdonald saw franke and sharma and so that franke and sharma saw no one.
Mr kennedy had 5 hats which he showed to the mathematitians.three of the hats were grey and 2 white mr kennedy put a hat on each persons head and hid the remanig two hats in the box. "what colour id your hat mr macdonald?" asked mr kennedy mr macdonald did not know mr franke did not know the coulor of this hat either when asked.
ms sharma who couldent see ant hats at all, gave the correct awnser when asked the colour of his hat. what was the colour of her hat and how did she figure it out?
Sun Apr 14, 2013 12:36 am  by leanard0

The only way Mr. Macdonald could not have known his hat color is if he saw more than one black hat in front of him. Mr. Franke realizing this would only be uncertain of his own hat color if the hat in front of him was black. Hence Mrs. Sharma could confidently say her hat was black
Wed Apr 30, 2014 5:43 am  by arun229

mr.leanard0.....there is not at all black colour in the hats mentioned..... :shock: :)
Tue Mar 17, 2015 4:23 am  by rgsthegreat

The only way MacDonald could've answered is if he saw two grey hats. Now that he didn't answer, he either saw 'two white hats' or 'one white and one grey hat'

Now it would've been easy for Franke to answer it if he saw a grey hat on Sharma's head coz the possibility is WW and GW.

Seeing Franke not answer, Sharma could easily derive that she was wearing a white hat. :D
Tue Sep 22, 2015 3:23 pm  by king29

Sharma is wearing a Grey hat.

MacDonald: He could see Frank and Sharma. So, he could have definitely answered if both of them are wearing white (then his hat would be grey). As he did not answer they could be wearing one grey and one white or both grey.

Now coming to Franke: He could see only Sharma. So, if Sharma is wearing white hat, he could have easily answered he is wearing grey based on MacDonald's cases. So he see's Sharma wearing Grey and he could not figure out his hat is White/Grey.

Sharma: As Franke could not answer, she is not wearing white hat. That means she is wearing Grey one.
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