Question
Who lives in flat 1 of the bottommost
floor? Answer the questions based on the information given below. 12 persons O-Z live in a building, which consists of four floors such that the bottommost floor is numbered 1 and the topmost floor is numbered 4. Each floor has three types of flats (Flat 1, flat 2 and flat 3) such that flat 1 is to the west of flat 2, which is to the west of flat 3. Flat 3 of floor 4 is immediately above flat 3 of floor 3, Similarly, flat 2 of floor 4 is immediately above flat 2 of floor 3 and so on. Only one person lives in each flat. Each of the flat is of equal dimension. O lives in flat 2 on an odd numbered floor. S lives above O in the same type of flat and to the east of T. T doesn’t live on floor 3. Q and V live in the same type of flat such that Q lives immediately above V but below floor 3. Q lives in south east of T. X lives to the west of Q. X and U live in the same type of flat and X lives immediately above U. U doesn’t live in flat 1. P and W live in the same type of flat such that P lives immediately above W but not in flat 1. Floor number on which Z lives is higher than R, whose floor number is higher than Y.Solution
O lives in flat 2 on odd numbered floor S lives above O in the same type of flat and to the east of T. 3. T doesn’t live on floor 3. So, O lives on flat 2 of floor 3 or flat 2 of floor 1. Case W: O lives on flat 2 of floor 3: 
Case II: O lives on flat 2 of floor 2: Case II(a): 
Q and V live in the same type of flat such that Q lives immediately above V but below floor 3. Q lives in southeast of T. X lives to the west of Q. X and U live in the same type of flat and X lives immediately above U, this is not possible in case II(b), so case II(b) is rejected. . U doesn’t live in flat 1, so case II(a) is rejected. So, X lives in flat 2 of floor 2 and U lives in flat 2 of floor 1. Q and V lives in flat 3. 
I. p2 – 5p + 6 = 0                 Â
II. 36q2 = 81
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