Question
Who among the following live on topmost floor?
Answer the questions based on the information given below. Eleven persons K, A, B, C, D, E, F, G, H, I and J live in four storey building having four floors such that lowermost floor is numbered as 1 and floor immediately above the lowermost floor is numbered as 2 and so on. Each floor has 3 flats numbered as 1, 2 and 3 from west to east such that flat – 1 is in west of flat – 2 and flat – 2 is in west of flat – 3. One of the flats on a floor is vacant. The dimensions of each of the flats are same. Note: If there is one/two floor(s) between two flats then they may or may not have the same flat number of different floors. J lives in an even numbered flat on floor number 2. A and B live on same floor. A lives in an even numbered flat on lowermost floor. F and K live on same floor. All the flats on the floor on which E lives are occupied. H lives to the west of F. A lives on the floor on which two other persons live. There is one floor between F and E. D’s flat is immediately above B’s flat and the numbers of their flats is same. F lives immediately below the vacant flat and the flat number of vacant flat and F is same. C lives somewhere above I in same flat number, but not on flat 3.K lives in flat – 1.Solution
A lives in an even numbered flat on lowermost floor i.e. A lives on floor ground floor in flat 2. J lives in an even numbered flat on floor number 2. A and B live on same floor. D lives immediately above Name the numbers of their flats is same. So, Now, B either lives immediate west or east of A which means D either lives in flat 3 or flat 1. So, we have two possibilities. Case I: When B and D live on flat – 3: 
C lives somewhere above I in same flat number, but not on flat 3. Now, we cannot fix C and I in same flat number in case II, so, case II is invalid. The final arrangement is as follows: 
I. p2 – 5p + 6 = 0                 Â
II. 36q2 = 81
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