Refer to the following data and answer the questions that follow.
There is an empty three-self bookcase. T, U, V, W, X, Y and Z are seven objects to be placed either on the lower middle or top shelf of the bookcase with the following conditions:
(i) At least two objects should be on the top shelf.
(ii) There should be no more than four objects on any shelf.
(iii) T and U should be on different shelves.
(iv) V is to be either on one shelf or two shelves above the shelf where X is placed.
(v) W is to be either on one shelf or two shelves above the shelf that X is on.