Four among the following five are alike in a certain way

Solution

Explanation : (i)- By using definite conditions, M likes White and sits one of the extreme end of the row (thus in case1-A either sit at the extreme right end and in case2- M sits at the extreme left end of the row). Only two persons sit between M and P. There are only two persons sit between M and the one who likes Red (that means P likes Red).    (ii)- G likes Yellow and sits one of the extreme end of the row. J sits third to the left of F. J neither likes Magenta nor Brown (from all these conditions case1 will be eliminated and in case2- G sits at the extreme left end of the row then J sits to its immediate right and F at the right end of the row). The one who likes Magenta sits diagonally opposite to the one who likes Brown. Now in case2, there will be two possible cases, case-2(a) and case2 (b); as shown below:         Case 2(a) (iii)- H is not an immediate neighbour of the one who likes Magenta. Only two persons sit between the one who likes Magenta and the one who likes Pink. The one who likes Pink is not an immediate neighbour of M (from this case2 (a) will be eliminated). Q sits third to the right of the one who likes Black (Q likes Brown is fixed). The one who likes Green faces north (thus it is fixed in row-2). Now, the one who likes Purple faces the person who likes Blue. The one who likes Blue faces the one who sits immediate right of the one who likes Black (from this it is clear that the one who likes Black faces the one who likes Green). K doesn’t face N (thus K faces O). The final arrangement will be: