Amongst six people-P, Q R, S, T and U standing around a circle, some facing the centre while some facing outside (i.e. opposite to the centre) but not necessarily in the same order, what is the position of T with respect to U ?

Statement I: P stands second to the right of R. R faces the centre. Q stands second to the left of P. Q is an immediate neighbour of both U and T. U and P face opposite directions (i.e. if U faces the centre then P faces outside and vice-versa.) Only two people stand between P and T.

Statement II: Only two people stand between R and U. P stands to the immediate left of U. P faces outside. R is an immediate neighbour of T.