Which of the following Cities does K like? 

Solution

T sits exactly in the centre of the row and faces the one who likes Jaipur. Only one person sits between K and the one who likes Jaipur. So K can be either extreme right or extreme left end of the row. So here we get following two cases: (1) When K sits extreme right end of the row   K faces one of the immediate neighbours of the one who likes Jodhpur. Only two people sit between R and the one who likes Jodhpur. R faces the one who likes Alwar. U is an immediate neighbour of V. So only two places left for U and V. so J can be either at 2^nd or 3^rd to the right of the 2^nd row.   Now we know that H is not an immediate neighbour of J and faces the one who likes Bhopal. J does not like Alwar. H does not sit at the extreme end of the line. It means H sits 2^nd to the left end of the 2^nd row. So J sits 2^nd to the right end of the 2^nd row. J faces immediate neighbours of V. so V sits left end of the 1^st row. G faces the one who likes Pune. G does not like Jaipur. So G sits left end of the row and I sits at the centre of the row.    The one who likes Indore sits to the immediate right of the person who likes Udaipur. K does not like Indore. So this case is not valid. (2) When K sits extreme right end of the row K faces one of the immediate neighbours of the one who likes Jodhpur. Only two people sit between R and the one who likes Jodhpur. R faces the one who likes Alwar. U is an immediate neighbour of V. So only two places left for U and V. so J can be either at 2^nd or 3^rd to the left end of the 2^nd row. Now we know that H is not an immediate neighbour of J and faces the one who likes Bhopal. J does not like Alwar. H does not sit at the extreme end of the line. It means H sits 2^nd to the right end of the 2^nd row. So J sits 2^nd to the left end of the 2^nd row. J faces immediate neighbours of V. so V sits right end of the 1^st row. G faces the one who likes Pune. G does not like Jaipur. So G sits right end of the row and I sits at the centre of the row.  The one who likes Indore sits to the immediate right of the person who likes Udaipur. K does not like Indore. The one who likes Jabalpur sits opposite to the person who sits left of the person who likes Indore. The one who likes Nagpur faces north.