Brain Teasers
Neighbourhood Woes !!!
In Rangeelia, a neighbour situated west of our country, the native people can be divided into three types: Lalpilas, Pilharas and Haralals. Lalpilas always get confused between red and yellow (i.e. they see yellow as red and vice versa) but can see any other color properly. Pilharas always get confused between yellow and green (i.e. they see yellow as green and vice versa) but can see any other color properly. Haralals always get confused between green and red (i.e. they see green as red and vice versa) but can see any other color properly.
Three people Amar, Akbar and Anthony, who belong to Rangeelia, made the following statements about Gabbar Singh, the famous dacoit of Rangeelia, when he was last seen by them :-
Amar : Gabbar Singh was wearing a green shirt.
Akbar : Gabbar Singh was not wearing a yellow shirt.
Anthony : Gabbar Singh was wearing a red shirt.
If none of Amar, Akbar or Anthony is a Haralal, then what was the color of Gabbar Singh's shirt ?
Three people Amar, Akbar and Anthony, who belong to Rangeelia, made the following statements about Gabbar Singh, the famous dacoit of Rangeelia, when he was last seen by them :-
Amar : Gabbar Singh was wearing a green shirt.
Akbar : Gabbar Singh was not wearing a yellow shirt.
Anthony : Gabbar Singh was wearing a red shirt.
If none of Amar, Akbar or Anthony is a Haralal, then what was the color of Gabbar Singh's shirt ?
Answer
Gabbar Singh was wearing a yellow shirt.It is given that
Lalpilas always get confused between red and yellow (i.e. they see yellow as red and vice versa) but can see any other color properly.
Pilharas always get confused between yellow and green (i.e. they see yellow as green and vice versa) but can see any other color properly.
Haralals always get confused between green and red (i.e. they see green as red and vice versa) but can see any other color properly.
The statements made by Amar, Akbar and Anthony are
Amar : Gabbar Singh was wearing a green shirt.
Akbar : Gabbar Singh was not wearing a yellow shirt.
Anthony : Gabbar Singh was wearing a red shirt.
Since none of Amar, Akbar or Anthony is a Haralal, Gabbar Singh could not have worn a red or green shirt.
If Gabbar had worn a red shirt, then Amar would not have made such a statement (since only Haralals get confused between red and green and it is given that Amar is not a Haralal).
If Gabbar had worn a green shirt, then Anthony would not have made such a statement (since only Haralals get confused between red and green and it is given that Anthony is not a Haralal).
So the only possibility is that Gabbar Singh wore a yellow shirt.
Amar, who is probably a Pilhara, confused yellow with green.
Akbar, who is probably a Pilhara or a Lalpila, confused yellow with either green or red and hence said that he was not in yellow.
Anthony who is probably a Lalpila confused yellow with red.
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Comments
By symmetry, it can only be yellow.
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