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Difficulty: MediumSeating Arrangement

Six urban planners—Harper, Idris, Julia, Kiran, Leo, and Maya—are sitting around a circular table. Some are facing the center, while others are facing outward.

1. Harper sits second to the right of Idris. Idris faces the center.
2. Julia sits opposite to Harper and faces the same direction as Harper.
3. Kiran sits to the immediate left of Julia and faces outward.
4. Leo sits adjacent to Idris and faces the center.
5. The immediate neighbors of Harper face opposite directions to each other (one faces the center, the other faces outward).

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

  1. Kiran and Leo sit exactly opposite to each other.Answer
  2. Exactly two people face outward in the arrangement.Answer
  3. C
    Harper sits to the immediate left of Maya.
  4. D
    Idris sits second to the right of Kiran.

Answer

The correct statements are that Kiran and Leo sit exactly opposite to each other, and exactly two people face outward in the arrangement.
Based on the step-by-step logical deduction, Kiran sits at position 6 and Leo sits at position 3, making them exactly opposite. Additionally, only Maya (position 1) and Kiran (position 6) face outward, meaning exactly two people face outward.

Step-by-Step Solution

1
Map positions 1 through 6 in a clockwise direction. Place Idris and Harper.
Idris is at position 4 facing the center. Harper is at position 2.
Since Idris faces the center, 'right' is counter-clockwise (4 → 3 → 2). Second to the right of 4 is 2.
2
Place Julia based on Harper's position.
Julia is at position 5 (opposite position 2) and faces the same direction as Harper (unknown at this point).
In a 6-person circle, position 2 is exactly opposite position 5.
3
Place Leo based on Idris and Julia.
Leo is at position 3 and faces the center.
Leo is adjacent to Idris (position 4). The adjacent seats are 3 and 5. Since 5 is occupied by Julia, Leo must sit at 3.
4
Place Kiran and determine Julia's facing direction.
Julia faces the center. Kiran is at position 6 and faces outward.
Kiran is to the immediate left of Julia. If Julia faced outward, 'left' would be counter-clockwise (position 4), which is already occupied by Idris. Therefore, Julia MUST face the center, making 'left' clockwise (position 6).
5
Determine the remaining positions and facing directions.
Maya sits at position 1 and faces outward. Harper faces the center.
Maya takes the last empty seat (1). Julia and Harper face the same direction, so Harper faces the center. Harper's neighbors (Maya at 1 and Leo at 3) face opposite directions. Since Leo faces the center, Maya must face outward.

Key Concept

Positional mapping with mixed inward and outward facing directions in a circular arrangement.
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Topics

Seating Arrangement

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