Question Details

Directions: Read the following details carefully and answer the questions that follow.

An office building has four levels, numbered 1 to 4 from bottom to top. Each level contains two office wings: the West Wing and the East Wing. The West Wing of level 2 is directly above the West Wing of level 1 and directly below the West Wing of level 3, and so on. Similarly, the East Wing of level 2 is directly above the East Wing of level 1 and directly below the East Wing of level 3, and so on. Eight professionals—P, Q, R, S, T, U, V, and W—each occupy one of these eight office wings. Each office wing houses exactly one professional.

There is a gap of one level between P and U. W works to the west of Q, who works to the northeast of U. P works to the southwest of S. R works to the east of T.

Who among the following works in the West Wing of level 2?

Options

A

T

B

None of these

C

V

D

U

E

W

Show Answer

Correct Answer :

Option A

T

Solution :

The correct answer is T.

Step 1: Understand the Building Structure and Variables
The office building has four levels (Level 1 at the bottom to Level 4 at the top). Each level has two wings: the West Wing and the East Wing. There are 8 professionals (P, Q, R, S, T, U, V, and W) occupying these 8 distinct positions.

Step 2: Analyze the Directional Clues and Wing Assignments
1. "W works to the west of Q": This means W and Q are on the same level. W is in the West Wing and Q is in the East Wing.
2. "R works to the east of T": This means T and R are on the same level. T is in the West Wing and R is in the East Wing.
3. "Q works to the northeast of U": Since Q is in the East Wing, U must be in the West Wing, and the level of Q must be higher than the level of U.
4. "P works to the southwest of S": P must be in the West Wing and S must be in the East Wing, with the level of S being higher than the level of P.

From these clues, we can separate the professionals by their respective wings:
- West Wing occupants: P, T, U, W
- East Wing occupants: Q, R, S, V

Step 3: Determine the Positions of U, P, W, and Q
- There is a gap of one level between P and U in the West Wing. Thus, the levels of P and U must differ by 2.
- Since Q is to the northeast of U, Level(Q) > Level(U). This means U cannot be on Level 4.
- If U is on Level 3 (West Wing), then Q must be on Level 4 (East Wing).
- Since W is to the west of Q, W is on Level 4 (West Wing).
- With U on Level 3 (West Wing), and a one-level gap between P and U, P must be on Level 1 (West Wing).

Step 4: Find the Occupant of the West Wing of Level 2
We have determined the West Wing occupants for three levels:
- Level 4 West Wing: W
- Level 3 West Wing: U
- Level 1 West Wing: P

The only remaining unassigned West Wing position is Level 2, and the only remaining professional assigned to the West Wing is T.
Therefore, T works in the West Wing of Level 2.

Step 5: Complete Verification of the Full Arrangement
- Level 4: West Wing = W, East Wing = Q
- Level 3: West Wing = U, East Wing = S
- Level 2: West Wing = T, East Wing = R
- Level 1: West Wing = P, East Wing = V

All given conditions are satisfied:
- Gap of 1 level between P (Level 1) and U (Level 3).
- W is to the west of Q on Level 4.
- Q (Level 4 East) is northeast of U (Level 3 West).
- P (Level 1 West) is southwest of S (Level 3 East).
- R is to the east of T on Level 2.

Hence, T works in the West Wing of Level 2.

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