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Difficulty: MediumSeating Arrangement

Six city planners—David, Elena, Felix, Grace, Hassan, and Iris—are sitting around a circular table for a development meeting. Some planners are facing the center of the table while others are facing outward.

Based on the following conditions, determine their exact seating arrangement:
1. David and Grace sit opposite each other, and both are facing the center.
2. Elena sits to the immediate left of David.
3. Iris sits second to the left of Elena.
4. Felix sits to the immediate right of Grace.
5. Elena, Hassan, and Iris all face the same direction.
6. Felix faces the opposite direction to Hassan.

Based on the seating arrangement, who sits to the immediate left of Hassan?

  1. GraceAnswer
  2. B
    Iris
  3. C
    Felix
  4. D
    Elena

Answer

Grace sits to the immediate left of Hassan.
Based on the clues, Hassan sits between Grace and Iris, facing outward. When facing outward, a person's left side corresponds to the counter-clockwise direction along the circle. The person seated immediately counter-clockwise to Hassan is Grace.

Step-by-Step Solution

1
Place David and Grace on a 6-position circular diagram.
David is at position 1 and Grace is at position 4. Both face the center.
Clue 1 states they sit opposite each other and both face the center.
2
Determine Elena's position and facing direction.
Elena is at position 2 and faces outward.
Clue 2 says Elena is to the immediate left of David. Since David faces the center, his left is clockwise, placing Elena at position 2. Clue 3 states Iris is second to Elena's left. If Elena faced the center, her second left would be position 4 (occupied by Grace). Thus, Elena must face outward.
3
Determine Iris's position.
Iris sits at position 6.
Since Elena is at position 2 and faces outward, 'left' means moving counter-clockwise. Two positions counter-clockwise from position 2 is position 6.
4
Place Felix and the remaining person, Hassan.
Felix is at position 3, and Hassan is at position 5.
Clue 4 states Felix is to the immediate right of Grace. Grace faces the center, so her right is counter-clockwise, which is position 3. Hassan must take the only remaining seat at position 5.
5
Determine the facing directions for Hassan, Iris, and Felix.
Hassan and Iris face outward. Felix faces the center.
Clue 5 states Elena, Hassan, and Iris face the same direction. Since Elena faces outward, Hassan and Iris also face outward. Clue 6 states Felix faces opposite to Hassan, so Felix faces the center.
6
Find the person to the immediate left of Hassan.
Grace
Hassan is at position 5 facing outward. For an outward-facing person, 'left' is counter-clockwise. The seat counter-clockwise from position 5 is position 4, which is occupied by Grace.

Key Concept

Mixed-facing circular seating arrangements and relative directional positioning based on orientation.
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Topics

Seating Arrangement

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