MATHEMATICS, French, English, Biology, Chemistry, PHYSICS, History and Geography.1) Dhanraj sits THIRD to left of the one who likes Geography. The one who likes Geography faces outside.2) Only two people SIT between Dhanraj and Chiru. The one who likes Mathematics sits to immediate right of Chiru.Case i)Case ii)3) The one who likes Chemistry sits second to the right of Rakesh. Rakesh is neither an immediate neighbour of Chiru nor Dhanraj.Case i)Case ii)4) Rakesh does not like Geography, only one person sits between James and the one who likes Chemistry.Case i)Case ii)5) Sujatha likes History. Sujatha is not an immediate neighbour of James. The one who likes French is an immediate neighbour of Sujatha.Case i)Case ii)There are two possibilities as shown below:6) Rachana sits to immediate left of the one who likes Physics. Rakesh does not like Physics.The above conditions are not satisfied in case i.7) The one who likes Biology is an immediate neighbour of Chinmay.8) The remaining person is Pruthvi. Pruthvi likes English.The final arrangement will be as shown:Hence, the one who likes French sits diagonally opposite the one who likes Mathematics.