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 occupies the office wing directly above V's office wing?
Correct Answer :
R
Solution :
The correct answer is R.
Step 1: Understand the Building Layout
The office building has 4 levels (numbered 1 to 4 from bottom to top) and 2 office wings per level (West Wing and East Wing). This creates 8 distinct 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. W is in the West Wing and Q is in the East Wing.
2. "R works to the east of T": 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": Q is in the East Wing on a higher level than U, which implies U is in the West Wing.
4. "P works to the southwest of S": P is in the West Wing on a lower level than S, which implies S is in the East Wing.
5. "There is a gap of one level between P and U": P and U are both in the West Wing, with exactly 1 level between them (their level numbers differ by 2).
Step 3: Determine the Positions of P and U
Since P and U occupy the West Wing with a gap of one level between them, they must be placed on either Levels 1 and 3, or Levels 2 and 4.
• If U were on Level 1 and P on Level 3, S (which is higher than P) would have to be on Level 4. Q would also have to be above U and paired with W on the same level, leaving no vacant level for the pair (T, R).
• Therefore, P must be on Level 1 (West Wing) and U must be on Level 3 (West Wing), leaving Level 2 as the gap between them.
Step 4: Determine the Positions of Q, W, T, and R
• Q works to the northeast of U (Level 3, West Wing), meaning Q must be on a level higher than 3. Thus, Q is on Level 4 (East Wing).
• Since W is to the west of Q, W is on Level 4 (West Wing).
• The pair (T, R) requires a level where both West and East wings are completely vacant. Since Level 4 is filled by (W, Q), Level 3 has U in the West Wing, and Level 1 has P in the West Wing, the only fully available level is Level 2. Therefore, T is on Level 2 (West Wing) and R is on Level 2 (East Wing).
Step 5: Place S and V
• P (Level 1, West Wing) is to the southwest of S, so S must occupy the East Wing of a higher level. The only available East Wing spot above Level 1 is Level 3. Thus, S is on Level 3 (East Wing).
• The remaining professional, V, occupies the last open spot on Level 1 (East Wing).
Step 6: Complete Seating Chart
• 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 7: Conclusion
V is located in the East Wing of Level 1. The office wing directly above V's office wing is the East Wing of Level 2, which is occupied by R.
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