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Difficulty: Very hardSeating Arrangement

Eight executives—P, Q, R, and S in Row 1 facing South, and W, X, Y, and Z in Row 2 facing North—are seated in two parallel rows such that each executive in Row 1 faces exactly one executive in Row 2. Each executive represents a different international branch: Berlin, Tokyo, Madrid, London, Cairo, Paris, Rome, and Delhi.

The following information is known:
1. The executive representing Tokyo sits second to the right of Q.
2. Q represents London and faces the executive representing Delhi.
3. The executive representing Rome is adjacent to both the executive representing Paris and X.
4. The executive representing Paris sits to the immediate right of Y.
5. S sits to the immediate left of the executive who faces W.
6. The executive representing Madrid faces Z.
7. Y faces the executive representing Berlin.
8. P does not represent Berlin.

Which of the following statements is definitely correct?

  1. A
    Y represents Cairo and sits exactly between W and Z.
  2. B
    R represents Madrid and faces Z.
  3. W represents Paris and faces the executive from Tokyo.Answer
  4. D
    S sits exactly between P and Q, and represents Rome.

Answer

The statement that W represents Paris and faces the executive from Tokyo is definitely correct.
Based on the logical deductions, Row 2 consists of Y, W, Z, X from left to right, representing Cairo, Paris, Rome, and Delhi respectively. Row 1 consists of R, P, S, Q from left to right, representing Berlin, Tokyo, Madrid, and London respectively. Therefore, W (Paris) sits exactly opposite P (Tokyo).

Step-by-Step Solution

1
Determine the exact layout of Row 2 (North-facing).
Row 2 from left to right: Y, Paris, Rome, X.
From Clue 4, Paris is to the immediate right of Y (Y - Paris). From Clue 3, Rome is adjacent to Paris and X, making the block (Y - Paris - Rome - X). Since Row 2 has exactly 4 spots, this is their absolute positioning from Position 1 to 4.
2
Place Q and identify the Delhi representative.
X represents Delhi. Q is at Position 4 in Row 1 (R1-4).
Clue 2 states Q (London) faces Delhi. Since Row 2 is full, Delhi must be one of the executives in Row 2. The only unknown branch in Row 2 is for X (Position 4). Thus, X is Delhi. Because Q faces X, Q is at R1-4.
3
Determine the positions of Tokyo, P, and S in Row 1 (South-facing).
Tokyo is at R1-2. S is at R1-3. P is Tokyo (R1-2).
Row 1 faces South, so their 'right' is towards lower positions. Clue 1 says Tokyo is second to the right of Q (R1-4), placing Tokyo at R1-2. Clue 5 says S is to the immediate left of the executive facing W (Paris, R2-2). The executive facing W is at R1-2 (Tokyo). The immediate left of R1-2 for South-facing is R1-3, so S is at R1-3.
4
Finalize the remaining executives and branches.
R1: R(Berlin), P(Tokyo), S(Madrid), Q(London). R2: Y(Cairo), W(Paris), Z(Rome), X(Delhi).
Clue 7 says Y (R2-1) faces Berlin, so R1-1 is Berlin. Clue 8 states P is not Berlin, so P must be Tokyo (R1-2), leaving R as Berlin (R1-1). Clue 6 says Madrid faces Z (who must be Rome at R2-3). R1-3 faces Z, so S is Madrid. Y must be Cairo, and W must be Paris.

Key Concept

Multi-variable Parallel Seating Arrangement with Facing Direction Constraints
Estimated Time:4m 0s
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Topics

Seating Arrangement

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