Directions (5-9): Study the following information carefully and answer the given questions.
In a building there are certain number of floors each floor has two flats i.e.; flat A is to the west of flat B. U lives on an odd numbered floor but below 7th floor. T lives two floors below U. X lives to the south west of T but not just south west. Three floors gap between S and T. X and S lives in the same named flat. The number of floors between S and X is two more than the numbers of floor between S and R. No one lives to the east of R. J lives to the immediate north west of R. The number of floors below X is same as the number of floors above O who lives just above R floors. K lives two floors below O’s flat. Only one floor gap between W and Q. W lives exactly between the S and U’s floor. S and T didn’t live on the adjacent floor. P lives to the north west of Q and lives on an even numbered floor. P and W live in different named flats. Q lives above S. W and U live in different named flat.
Four of the following five are alike in a certain way and thus forms a group, then who among the following doesn’t belong to that group?
Correct Answer :
W
Solution :
The correct answer is W.
Let us reconstruct the step-by-step arrangement of floors and flats based on the given clues. The building has two flats on each floor: Flat A (West) and Flat B (East). Let the bottom-most floor be Floor 1.
Step 1: Determine the positions of U, T, and X
• U lives on an odd-numbered floor below the 7th floor. Thus, U can be on Floor 5, 3, or 1.
• T lives two floors below U.
• X lives to the south-west of T but not just south-west. Since Flat A is to the west of Flat B, this implies T must be in Flat B, and X must be in Flat A on a floor below T.
• Since X is below T, T cannot be on Floor 1, which means U cannot be on Floor 3. If U is on Floor 5, T is on Floor 3. Since X is to the south-west of T but not immediately south-west (i.e., not on Floor 2), X must live on Floor 1 (Flat A).
• Therefore:
- X lives in Flat A on Floor 1.
- T lives in Flat B on Floor 3.
- U lives on Floor 5.
Step 2: Position S, W, Q, and P
• There is a three-floor gap between S and T. Since T is on Floor 3, S must be on Floor 7 (Floor 4, 5, and 6 are in between).
• X and S live in the same named flat, so S lives in Flat A on Floor 7.
• W lives exactly between S (Floor 7) and U (Floor 5), so W lives on Floor 6.
• There is a one-floor gap between W (Floor 6) and Q, and Q lives above S (Floor 7). This places Q on Floor 8.
• P lives to the north-west of Q (Floor 8, Flat B) and on an even-numbered floor. This means Q is in Flat B, and P is in Flat A on an even floor above Floor 8 (Floor 10).
• W and U live in different named flats. P and W also live in different named flats. Since P is in Flat A, W must be in Flat B, which means U is in Flat A.
Step 3: Position R, J, O, and K
• The number of floors between S (Floor 7) and X (Floor 1) is 5.
• The number of floors between S and X (5 floors) is two more than the number of floors between S and R. Thus, there are 3 floors between S and R.
• This places R on Floor 11 (Floors 8, 9, and 10 are in between).
• No one lives to the east of R, which means R is in Flat B on Floor 11.
• J lives to the immediate north-west of R, so J lives in Flat A on Floor 12.
• O lives just above R's floor, placing O on Floor 12 (Flat B).
• K lives two floors below O's flat, placing K on Floor 10.
• The number of floors below X (Floor 1) is 0, which is the same as the number of floors above O (Floor 12). Therefore, Floor 12 is the top-most floor.
Final Floor and Flat Distribution:
• Floor 12: J (Flat A), O (Flat B)
• Floor 11: R (Flat B)
• Floor 10: P (Flat A), K (Flat B)
• Floor 8: Q (Flat B)
• Floor 7: S (Flat A)
• Floor 6: W (Flat B)
• Floor 5: U (Flat A)
• Floor 3: T (Flat B)
• Floor 1: X (Flat A)
Finding the Odd One Out:
Let us analyze the flats of the individuals in the given options:
• J lives in Flat A
• P lives in Flat A
• U lives in Flat A
• S lives in Flat A
• W lives in Flat B
Since J, P, U, and S all live in Flat A, whereas W lives in Flat B, W does not belong to the group.
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