4. There are five caps , 3 black and 2 white. three
persons chander, sunder and maninder are standing one
behind the other in a queue. the first person in the queue
is chanbder and the last person is maninder . 3 caps
rfrom the lot of fivce is taken and put on their
heads. Maninder can see what the other two standing
in front are wearing . sunder can see what chander is
wearing. None of them can turn around and see what the
person standing behind is wearing , they do not know the
color of cap what they themselves are wearing . John comes
and asks maninder,"what is the color of the cap your
are wearing?", Maninder can see what sunder and chander
are wearing, and based on that he says he doesn't know.
sunder has over heard that answer. Now john asks
sunder" what is the colour of the cap you are wearing".
sunder can see chander and he has heard what maninder
has said, and based on that he says he doesn't know.
chander has overheard both sunder and maninder. so when
john asks chander the same question, he tells the
correct answer.

What is the colour of the cap that chander is weaRing ?
Please write in brief how did you reach to that
conclusion.

Answer Posted / akshay

color of chander's hat is black.
there r 3 condition of hats being kept aside
1. bb 2.ww 3. bw b=black c=chander
w=white s=sunder
m=maninder
1.bb
hence hats ther r wearing can have following possibilities
1.bww(in order i.e. chander is first)
now manider looks ahead and see black and white. hence he
says "i dont know".now s sees that c is wearing black he
thought that he can have any hat.in this cas c is wearing
black hat.
2.wwb-in this case maninder should have answer first that
he is having black because as he sees two white
ahead ,there r only two white hence i must be black.but he
didnt answer hence this case is not possible.

in this way u can answer each case

m writing all cases below. y in front of cases when any one
of sunder and maninder could have answered and n in front
of cases when both cannot answer.


bww=n
wwb=y
wbw=y

bbb=n

bbw=n
bwb=n
wbb=y

in all 'n' conditions chander is wearing black hence the
answer is black

Is This Answer Correct ?    6 Yes 2 No



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