Five persons with names P, M, U, T and X live separately in any one of the following: a palace, a hut, a fort, a house or a hotel. Each one likes two different colours from among the following: blue, black, red, yellow and green. U likes red and blue. T like black. The persons living in a palace does not like black or blue. P likes blue and red. M likes yellow. X lives in a hotel. M lives in a :