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Difficulty: MediumSeating Arrangement

Six architects—Maya, Noah, Oliver, Piper, Quinn, and Riley—are seated around a triangular table. Three of them sit at the corners of the table facing the center, while the other three sit at the middle of the sides facing outward.

1. Maya sits at a corner.
2. Quinn sits second to the left of Maya.
3. Oliver sits to the immediate right of Noah, but Noah is not seated at a corner.
4. Riley is not an immediate neighbor of Quinn.

Based on the seating arrangement, which of the following statements are true? (Select all that apply)

  1. Piper sits exactly opposite to Oliver.Answer
  2. Riley sits third to the right of Quinn.Answer
  3. C
    Noah sits to the immediate left of Oliver.
  4. D
    The person sitting to the immediate left of Riley is Maya.

Answer

The statements 'Piper sits exactly opposite to Oliver' and 'Riley sits third to the right of Quinn' are true.
Based on the deduced seating arrangement, Piper sits at a middle position opposite to the corner where Oliver sits. Additionally, since Quinn faces the center, counting three positions to the right (counter-clockwise) leads exactly to Riley's position.

Step-by-Step Solution

1
Establish the seating positions and their left/right orientations based on facing directions.
Label positions 1 to 6 clockwise. Corners are 1, 3, and 5 (facing center). Middle positions are 2, 4, and 6 (facing outward). For center-facing (1, 3, 5), left is clockwise and right is counter-clockwise. For outward-facing (2, 4, 6), right is clockwise and left is counter-clockwise.
Tracking relative directions is critical because inward and outward facing seats have reversed left/right orientations.
2
Place Maya and deduce Quinn's position.
Place Maya at corner position 1. Since Maya faces the center, her left is clockwise. Quinn sits second to the left, which is position 3 (also a corner).
Condition 1 and 2 give an absolute starting point and a direct relative position.
3
Determine Noah and Oliver's positions.
Noah is not at a corner, so Noah is at 2, 4, or 6 (facing outward). Oliver is to the immediate right of Noah. Since Noah faces outward, right is clockwise. If Noah were at 2, his right would be 3 (occupied by Quinn). If Noah were at 6, his right would be 1 (occupied by Maya). Thus, Noah must be at 4, placing Oliver at 5 (a corner).
Process of elimination based on Noah's restriction from sitting at a corner and the availability of adjacent seats.
4
Place Riley and Piper in the remaining seats.
The remaining seats are 2 and 6. Riley cannot be an immediate neighbor of Quinn (position 3). Since position 2 is adjacent to 3, Riley must be at position 6. This leaves Piper at position 2.
Condition 4 restricts Riley from sitting next to Quinn, forcing the final placements.

Key Concept

Multi-variable seating arrangement with mixed facing directions (inward and outward) determining relative left/right positioning.
Estimated Time:2m 0s
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Topics

Seating Arrangement

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