Study the following information carefully and answer the below question.

Six persons - P, Q, R, S, T and U are sitting at the circular table facing the center but not necessarily in the same order.

T sits second to the right of U.  Q is an immediate neighbor of T.  One person sits between R and S.  R is not an immediate neighbor of T.  P and Q are not immediate neighbor.

Which of the following statement(s) is/are true?

I P and S are immediate neighbors.

II Only two persons sit between U and S.

III Q sits second to the right of R.  

All I, II and III