Passage

Study the following information carefully and answer the question given below. Seven boxes P, Q, R, S, T, U and V are kept one above the other but not necessarily in the same order. The bottommost box is numbered 1, the box immediately above it is numbered 2 and the topmost box is numbered 7. The boxes are of different colours i.e., Pink, Purple, White, Black and Green. Not more than two boxes are of the same colour. Weights of all the boxes are of different from 1 kg to 7 kg. Box S weight is of prime even number and kept three places above of Purple coloured box. Box R and U are of the same colours but not Pink and White and two boxes are kept between them. Only V likes the Purple coloured box and kept it at an odd number position. The number of boxes kept above box R is the same as the number of boxes kept below White coloured box. Only one box is placed between S and Black coloured box, which is 5kg more than box S. The pink-coloured box is 6kg and is kept two places above the box which is half of the weight of Pink colored box. The white colored box has an even number of weights. More than four boxes are kept between the box P and box T. Both boxes Q and T are of the same colour but not of Pink colour. Box V is 1 kg more than box R which is not black in colour.

Which of the following statements is true? I. The average weight of boxes P, Q and S is 5 kg. II. Box S is white coloured. III. Pink coloured box is thrice heavier to box S.