CAT 2018 Linear Arrangements — Previous Year Question

Among six people P, Q, R, S, T and V, each lives on a different floor of a six storey building having its six floors numbered one to six (the ground floor is numbered 1, the floor above it, number 2 and so on and the topmost floor is numbered 6). Who lives on the topmost floor? I. There is only one floor between the floors on which R and Q live. P lives on an even numbered floor. II. T does not live on an even numbered floor. Q lives on an even numbered floor. Q does not live on the topmost floor. III. S lives on an odd numbered floor. There are two floors between the floors on which S and P live. T lives on a floor immediately above R's floor.