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.

Which professional occupies the office wing located directly between W and T in the same named wing?

Options

A

V

B

Either U or S

C

U

D

P

E

S

Show Answer

Correct Answer :

Option C

U

Solution :

Correct Answer: U

To determine which professional occupies the office wing located directly between W and T in the same wing, let us analyze the given conditions step-by-step and deduce the exact arrangement of all eight professionals across the four levels and two wings (West and East).

Step 1: Understand the Building Layout
The office building has four levels: Level 4 (top), Level 3, Level 2, and Level 1 (bottom).
Each level contains two wings: West Wing and East Wing.
This gives us a total of 8 office positions:

• Level 4: West Wing, East Wing
• Level 3: West Wing, East Wing
• Level 2: West Wing, East Wing
• Level 1: West Wing, East Wing

Step 2: Analyze the Given Clues
1. W works to the west of Q: W and Q are on the same level, with W in the West Wing and Q in the East Wing.
2. R works to the east of T: T and R are on the same level, with T in the West Wing and R in the East Wing.
3. Q works to the northeast of U: Q is in the East Wing at a higher level than U. This means U must be located in the West Wing.
4. P works to the southwest of S: P is in the West Wing at a lower level than S. This means S must be located in the East Wing.
5. Gap of one level between P and U: Both P and U occupy the West Wing, separated by exactly one level.

Step 3: Determine the Level Assignments
Since (W, Q) and (T, R) each occupy an entire level (both West and East wings), two full levels are taken by these two pairs.
The remaining two levels must contain P and U in their West Wings.
Because there is a one-level gap between P and U in the West Wing, one of them must be on Level 1 and the other on Level 3 (with Level 2 being the intermediate level occupied by one of the full pairs).

Since Q works to the northeast of U, Q must be on a higher level than U:
Level of Q>Level of U
If U were on Level 1, then P would be on Level 3. But since P is to the southwest of S, the level of S would need to be higher than Level 3, placing S on Level 4. However, Q's pair (W, Q) would also need a higher level than U, creating a conflict for Level 4.

Therefore, P must be on Level 1 (West Wing) and U must be on Level 3 (West Wing):
• Level 3 (West Wing) = U
• Level 1 (West Wing) = P

With U on Level 3 (West Wing), Q must be on Level 4 (East Wing) to be to the northeast of U. Thus, the (W, Q) pair occupies Level 4:
• Level 4 (West Wing) = W
• Level 4 (East Wing) = Q

The second complete pair (T, R) occupies Level 2:
• Level 2 (West Wing) = T
• Level 2 (East Wing) = R

With P on Level 1 (West Wing), S occupies Level 3 (East Wing) to be northeast of P:
• Level 3 (East Wing) = S
• Level 1 (East Wing) = V (the remaining professional)

Step 4: Summary of the Final Grid

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

Step 5: Conclusion
We need to find the professional located directly between W and T in the same named wing.
• W is located at Level 4, West Wing.
• T is located at Level 2, West Wing.
Directly between Level 4 West Wing (W) and Level 2 West Wing (T) is Level 3, West Wing, which is occupied by U.

Thus, the correct answer is U.

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