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Difficulty: MediumSeating Arrangement

Six foreign delegates—U, V, W, X, Y, and Z—are participating in a diplomatic summit. They are seated around a circular table, with all of them facing the center.

The seating arrangement follows these conditions:
• V sits third to the right of Y.
• W sits second to the left of V.
• X sits to the immediate left of Y.
• U is not an immediate neighbor of W.

Based on the given information, which of the following statements are correct?

  1. Z sits exactly opposite to X.Answer
  2. W sits to the immediate right of Y.Answer
  3. C
    U sits second to the left of Z.
  4. D
    Z is an immediate neighbor of X.

Answer

The correct statements are that Z sits exactly opposite to X, and W sits to the immediate right of Y.
Based on the step-by-step deduction, the final clockwise seating order starting from Y (Seat 1) is Y, X, U, V, Z, W. This confirms that Z (Seat 5) and X (Seat 2) are opposite each other, and W (Seat 6) is immediately counter-clockwise (to the right) of Y.

Step-by-Step Solution

1
Determine a starting reference point and place Y and V.
Place Y at the top position (Seat 1). Since V sits third to the right of Y (counter-clockwise), V is placed at Seat 4 (exactly opposite Y).
Fixing a starting point helps in correctly placing the relative positions of all other delegates.
2
Use the third condition to place X.
X sits to the immediate left of Y. Facing the center, left is clockwise. Therefore, X is placed at Seat 2.
This is a direct positional clue anchored to our starting reference, Y.
3
Use the second condition to place W.
W sits second to the left of V. From V at Seat 4, moving two seats clockwise (left) places W at Seat 6.
V's position is already established, making W's position deterministic.
4
Use the final negative condition to place U and Z.
The remaining empty seats are 3 and 5. U cannot be an immediate neighbor of W (Seat 6), so U cannot take Seat 5. Therefore, U must take Seat 3, leaving Seat 5 for Z.
Applying the negative constraint reveals the only valid configuration for the remaining two delegates.

Key Concept

Circular Seating Arrangement (Center Facing)
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Topics

Seating Arrangement

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