Five persons P,M,U,T and X live separately in any one of the following : a palace, a hut, a fort, a house,and hotel.Each one likes two different colours from among the following: Blue, Black, Red, Yellow and Green. U likes red and blue. T likes black. The person 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______________.