Question
How many persons live below K (considering both types of
flats)? Answer the questions based on the information given below: Ten persons namely, K, L, M, N, O, P, Q, R, S and T live on 10 different flats of a 5 storey building, where the bottommost floor is 1 and the floor above is 2 and so on. There are 2 types of flats on each floor, flat P and flat Q such that flat P is in the west of flat Q. Flat P of floor 1 is immediately below of flat P of floor 2, which is immediately below of flat P of floor 3 and so on, similarly for flat Q. L lives in flat P.L and P live in the same type of flat. Two floors are there between the floors of L and P. P lives exactly in the west of Q. L lives on the even numbered floor. S's floor is immediately above Q's floor. S and O live in the same type of flat. There is one floor between the floors of S and O. N's floor is just below R's floor. T lives above K. M doesn’t live in flat Q. R and T don't live in same type of flat.Solution
1. L live in flat P of either floor 2 or floor 4. 2. S lives on a floor that is immediately above the floor of Q. 3. S and O live in the same type of flat. L and P lives in same flat. 4. There is one floor between the floors of S and O. So, S lives in either flat P or flat Q. Case 1: When L lives on 2nd floor. Q cannot be placed in this case, so this case is not possible 6. T lives above K. M doesn’t live in flat Q. R and T don't live in same type of flat. So, T must live in flat Q which implies that R lives in flat P and thus M lives in flat P and K lives in Flat Q on 3rd floor. The final arrangement is as follows:
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