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Question

Seven men- P,Q,R,S,T,U and V are standing in a queue in that order. Each one is wearing a cap of different colour-violet, indigo, blue, green, yellow, orage and red. S is able to see in front of him green and blue, but not violet. T can see violet and yellow, but not red. V can see caps of all the colours other than orange. If T is wearing an indigo coloured cap, find colour of the cap worn by U.

A
Red
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B
Green
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C
Yellow
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D
Orange
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Solution

The correct option is A Red
Given, order: P, Q, R, S, T, U, V.
The point is A person can see caps of all persons standing in front of him but cant see his own cap and caps of persons standing behind him. S is able to see in front of him green and blue, but not violet which means the people in front of S i.e., P or Q or R worn green or blue and people after S and including himself i.e., S or T or U or V worn violet. T can see violet and yellow but not red.
Clearly, S is wearing violet cap and P/Q/R worn green/blue/yellow not necessarily in that order. V can see caps of all colours other than orange which means he is the last person in the row, he can see all caps except his. So, we can say V is wearing Orange cap. Given that T wears indigo cap.
The summary is:
PersonCap
P/Q/Rgreen/blue/yellow
Sviolet
Tindigo
Vorange
Finally we left with red cap which means U is wearing it.
Hence, (A) is the correct answer.

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