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Difficulty: MediumSeating Arrangement

Six architects—Kael, Lin, Mateo, Nadia, Omar, and Priya—are sitting around a circular table at equal distances. Kael, Mateo, and Omar are facing the center, while Lin, Nadia, and Priya are facing away from the center.

Read the following information carefully:
1. Mateo sits second to the left of Priya.
2. Lin sits to the immediate right of Mateo.
3. Kael sits second to the left of Lin.
4. Nadia is not an immediate neighbor of Priya.

Based on the seating arrangement, which of the following statements are correct?

  1. Priya sits to the immediate left of Omar.Answer
  2. Nadia sits second to the right of Mateo.Answer
  3. C
    Kael sits second to the right of Lin.
  4. D
    Omar sits second to the left of Kael.

Answer

The statements confirming that Priya sits to the immediate left of Omar, and that Nadia sits second to the right of Mateo, are both correct.
Based on the completed arrangement (Clockwise: Priya, Kael, Nadia, Lin, Mateo, Omar), Omar is at position 6 facing the center, making his left clockwise (position 1), where Priya sits. Mateo is at position 5 facing the center, making his right anti-clockwise (position 3), where Nadia sits. Therefore, both of these positional statements perfectly match the deduced layout.

Step-by-Step Solution

1
Establish the directional rules based on facing orientation.
For individuals facing the center (IN), left is clockwise and right is anti-clockwise. For individuals facing outward (OUT), left is anti-clockwise and right is clockwise.
Correctly translating left and right directions based on inward vs. outward facing is strictly required before placing anyone.
2
Assign positions 1 through 6 clockwise and place Priya to determine Mateo's seat.
Place Priya at position 1 (facing OUT). Because she faces outward, her left is anti-clockwise. The second position anti-clockwise from position 1 (sequence: 1 -> 6 -> 5) is position 5. Therefore, Mateo (facing IN) sits at position 5.
This establishes a starting anchor for the arrangement based on the first definite clue.
3
Place Lin based on Mateo's position.
Lin sits to the immediate right of Mateo. Mateo (at position 5) faces IN, so his right is anti-clockwise. The immediate position anti-clockwise from 5 is 4. Thus, Lin (facing OUT) sits at position 4.
Utilizes the second clue connected to a known position.
4
Place Kael based on Lin's position.
Kael sits second to the left of Lin. Lin (at position 4) faces OUT, so her left is anti-clockwise. The second position anti-clockwise from 4 (sequence: 4 -> 3 -> 2) is 2. Thus, Kael (facing IN) sits at position 2.
Maintains the chain of logic using established seats and specific facing directions.
5
Place the remaining two people, Nadia and Omar.
The empty seats are positions 3 and 6. Nadia cannot be an immediate neighbor of Priya (at position 1). Since position 6 is directly next to position 1, Nadia must take position 3 (facing OUT). Omar (facing IN) takes the final remaining seat at position 6.
Applies the final negative constraint to complete the deterministic seating layout.

Key Concept

Multi-variable seating arrangement requiring strict orientation rules (inward vs. outward) and sequential logical deduction.
Estimated Time:2m 0s
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Topics

Seating Arrangement

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