Question

Difficulty: HardSeating Arrangement

Six friends—Kael, Lyla, Mateo, Nova, Orion, and Piper—are seated in a straight line. Some of them are facing North, while others are facing South.

Read the following information carefully:
1. Piper sits at one of the extreme ends of the line and faces South.
2. Orion sits second to the right of Piper.
3. Only two people sit between Orion and Kael.
4. The person sitting at the extreme left end of the line faces North.
5. Nova sits to the immediate right of Orion.
6. Mateo sits to the immediate left of Lyla.
7. Lyla is an immediate neighbor of Kael.
8. The immediate neighbors of Mateo face opposite directions.
9. Mateo faces the same direction as Piper, while Nova faces the same direction as Kael.

Based on the seating arrangement, match the individuals in List I with their correct descriptions in List II.

  • KaelSits at an extreme end and faces North.
  • MateoFaces South and sits exactly between Lyla and Orion.
  • OrionFaces North and sits second to the left of Lyla.
  • NovaFaces North and sits to the immediate right of Piper.

Answer

Kael matches with 'Sits at an extreme end and faces North.'; Mateo matches with 'Faces South and sits exactly between Lyla and Orion.'; Orion matches with 'Faces North and sits second to the left of Lyla.'; Nova matches with 'Faces North and sits to the immediate right of Piper.'
Based on a step-by-step logical deduction, the complete linear arrangement from left (Position 1) to right (Position 6) is: Kael (North), Lyla (South), Mateo (South), Orion (North), Nova (North), and Piper (South). This layout perfectly satisfies all directional conditions, allowing us to accurately match each person to their spatial description.

Step-by-Step Solution

1
Determine Piper and Orion's positions.
Piper is at Position 6 (extreme right) and Orion is at Position 4.
Piper sits at an extreme end facing South. If she were at the left end (Position 1), her 'right' would be off the line. Thus, she must be at Position 6. Second to her right (towards the west) is Position 4, where Orion sits.
2
Determine Kael's position.
Kael is at Position 1.
There are two people between Orion (Position 4) and Kael. The only valid position is 4 - 3 = 1.
3
Determine Lyla and Mateo's positions, and Lyla's facing direction.
Lyla is at Position 2 facing South, and Mateo is at Position 3.
Lyla is Kael's neighbor, so she must be at Position 2. Mateo is to her immediate left. Position 1 is taken, so Mateo must be at Position 3. For Position 3 to be on Lyla's left, Lyla must face South (so her left points east).
4
Determine Nova's position and Orion's facing direction.
Nova is at Position 5, and Orion faces North.
Nova is to the immediate right of Orion (Position 4). The only adjacent empty seat is Position 5. For Position 5 to be on Orion's right, Orion must face North (so his right points east).
5
Deduce remaining facing directions.
Kael faces North, Mateo faces South, and Nova faces North.
The person at the extreme left (Kael) faces North. Mateo faces the same direction as Piper (South). Nova faces the same direction as Kael (North). The clue about Mateo's neighbors (Lyla facing South, Orion facing North) is consistent, as they face opposite directions.

Key Concept

Linear seating arrangement with bidirectional facing (North and South), requiring strict orientation-based left/right spatial deductions.
Rate this question