Eight kids viz. K, L, M, N, O, P, Q, R, are sitting around a circular table in a birthday party. They all like different colors viz. Pink, Purple, Blue, Black, White, Red, Grey and Orange but not necessarily in the same order. R sits second to the right of the one who like Pink. The one who like Orange and the one who like Blue are sitting adjacent to each other. M sits opposite to the one who like Purple. Neither R nor M like Orange and Blue. Q who likes Black sits second to the left of N and fourth to the right of R. M is not an immediate neighbour of R. The one who like Grey faces the one who like Orange. O sits second to the left of M. Neither P nor L like Purple. P does not like Grey and R does not like Red. K is not an immediate neighbour of N.

Explanation

In this seating arrangement eight kids are seating around a circular table and it will be considered that all of them are facing towards the center as nothing is mentioned about their directions. Also each of them like different colours. Let us start with its detail solution
Step I: R sits second to the right of the one who like-Pink. Q who likes Black sits second to the left of N and fourth to the right of R. So Q like Black and sits fourth to the right of R.

Step II: O sits second to the left of M. M is not an immediate neighbour of R. M sits opposite to the one who like Purple. So there are two possible positions for both M and O which are shown in the figure given below :

Step III: Neither P nor L like Purple. So only condition left is K like purple but K is not an immediate neighbour of N. So, case:1 will be eliminated. Now proceeding with case:2-The one who like Orange and the one who like Blue are sitting adjacent to each other. Neither R nor M like Orange and Blue. So two adjacent places left will be O and the person who is immediate left of O and these two will like Orange and Blue. The one who like Grey faces the one who like Orange. So from this it is clear that O will like Orange and the person immediate left of him like Blue color.

Step IV : P does not like Grey and R does not like Red. So P will like Blue color and sits to the immediate left of O and R will like white color . And L will like Grey color and sits to the immediate right of N. So the final arrangement will be -