Question:

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 colors from among the following: blue, black, red, yellow and green. U likes red and blue. T like 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:

Updated On: Aug 20, 2025
  • Hut
  • Palace
  • Fort
  • House
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The Correct Option is B

Solution and Explanation

To solve this problem, we will deduce the living arrangements and color preferences step by step based on the given constraints:
  • 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.
Since X lives in a hotel and there’s no restriction on colors for the hotel resident, we eliminate no color possibilities here. Let’s list down the possible constrains for each person:
  • Person in a Palace: Does not like black or blue.
  • P: Likes blue and red, so can't be in a palace.
  • U: Likes red and blue, so can't be in a palace.
  • T: Likes black, so can't be in a palace.
  • M: Likes yellow, could potentially live in the palace.
  • X: Lives in a hotel.
Now analyzing further:
  • Since M likes yellow, and the person in the palace does not like black or blue, M can live in the palace.
Thus, M lives in the Palace.
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