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.
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Answer Posted / mandi
Five caps: 3black , 2 white (B B B W W)
There are 4 cases:
Case no. Chander Sunder Maninder
1. W. W. B
2. W. B. Can't ans.
3. B. W. Can't ans.
4. B. B. Can't ans.
#maninder
only in 1st case maninder knows the answer and the in rest of three cases he doesn't know the answer.
as maninder replied to john that he doesn't know the answer which means that the possible color combination of caps that Chander n sunder are wearing may be WB, BW, BB.
Case no. Chander. Sunder. Maninder
1. W. W. B.
2. W. B. Can't ans.
3. B. Can't ans. Can't ans.
4. B. Can't ans. Can't ans.
#sunder
Sunder has heard that maninder doesn't know the answer from that he concluded that Chander and me(sunder) are not wearing WW combination.
if Chander is wearing white cap and if WW combination is not possible then sunder would have answered immediately as black cap for himself but he didnt answer that means WB combination is also nt possible.(i.e.chander nt wearing white cap)
And as per the case no.3 & 4 sunder doesn't know the answer only when Chander is wearing black cap.
So from this concluding that chander is wearing black cap.
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