Question
Who likes
Black? Study the following information carefully to answer the given questions: There are nine persons i.e. P, Q, R, S, T, U, V, W and X who lives in a building having Three floors such that ground floor is numbered as 1 and above it is 2 and so on up to top floor numbered as 3. Each of the floors consist of 3 flats as flat-1, flat-2 and flat-3. Flat-1 of floor-2 is immediately above flat-1 of floor-1 and immediately below flat-1 of floor-3 and in the same way flat-2 of floor-2 is immediately above flat-2 of floor-1 and immediately below flat-2 of floor-3 and so on. Flat-2 is in east of flat-1 and flat-3 is in east of flat-2.Each of them likes different colours i.e. Red, Yellow, White, Black, Blue, Pink, Green, Grey and Orange. Note: If P lives above (or below) Q, then there are living in same flat unless stated otherwise. Number of Flats towards west of T is equal to the number of flats towards east of V, but in different floors. X who likes Green lives to the immediate west of R who likes Yellow and lives in Flat-3 of Floor-1. U does not live on Floor-2 but lives to the East of the one who likes Red who does not live in an even numbered flat. T and P lives in the same flat which is Flat-3. Q lives northwest of S. The one who likes Pink doesn’t live in topmost floor. The one who likes Blue colour and S lives in the same flat. W does not like Red and lives one of the extreme west flat. The one who likes Orange lives to the immediate west of the one who likes Grey and T likes White. Persons like Orange colour and Black colour lives in the same flat and W does not like Black colourSolution
X who likes Green lives to the immediate west of R who likes Yellow and lives in Flat-3 of Floor-1. T and P lives in the same flat which is Flat-3. Note: Here we get one more case.
Number of Flats towards west of T is equal to the number of flats towards east of V, but in different floors. Note: Here we get one more possibility from each case. Thus 4 we have total cases
U does not live on Floor-2 but lives to the East of the one who likes Red who does not live in an even numbered flat. W does not like Red and lives one of the extreme west flat. Note: U must live on Flat-2 of Floor-3 (only possibility in all cases). Also we get only possibility for W in each case, except case-2
The one who likes Blue colour and S lives in the same flat. Q lives northwest of S Note: Case-2 gets rejected since Q lives northwest of S is not possible.
The one who likes Orange lives to the immediate west of the one who likes Grey and T likes White. Persons like Orange colour and Black colour lives in the same flat and W does not like Black colour. The one who likes Pink doesn’t live in topmost floor Note: T likes White as given. Finally P likes Pink in case-1-a Case-1 gets rejected since W doesn’t like Black Case-2-a gets rejected since the one who likes Pink doesn’t live in topmost floor Final arrangement 
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