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.
On which of the following floor does J live?
Correct Answer :
12th
Solution :
The correct answer is 12th.
Let us solve the puzzle step-by-step based on the given clues:
Step 1: Determine the positions of U, T, and X
- Each floor has two flats: Flat A (West) and Flat B (East).
- U lives on an odd-numbered floor below the 7th floor (i.e., floor 1, 3, or 5).
- T lives two floors below U. This means U cannot be on floor 1. Thus, U must be on floor 3 or 5, and T must be on floor 1 or 3.
- 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 not "just south-west" (which would mean immediately below T on Flat A), there must be at least one floor gap between them. Therefore, T cannot be on floor 1 (otherwise X has no floor below). Hence, T is on floor 3 (Flat B), U is on floor 5, and X is on floor 1 (Flat A).
Step 2: Determine the position of S
- There is a three-floor gap between S and T. Since T is on floor 3, S must be on floor 7 (3 + 3 + 1 = 7).
- X and S live in the same named flat. Since X lives in Flat A, S also lives in Flat A (floor 7, Flat A).
Step 3: Determine the position of R
- The number of floors between S (floor 7) and X (floor 1) is 5 (floors 2, 3, 4, 5, and 6).
- This number (5) is two more than the number of floors between S and R. Therefore, the number of floors between S and R is:
5 - 2 = 3 floors.
- S is on floor 7, so R can be on floor 3 (below S) or floor 11 (above S). Since T is already on floor 3, R must be on floor 11.
- No one lives to the east of R, which means R must be in the easternmost flat, Flat B (floor 11, Flat B).
Step 4: Determine the position of J
- J lives to the immediate north-west of R. This means J lives on the floor immediately above R in Flat A.
- Since R is on floor 11 (Flat B), J must live on the 12th floor (Flat A).
Therefore, J lives on the 12th floor.
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