Question

Difficulty: MediumSeating Arrangement

Six debate finalists—Aris, Bella, Chen, David, Elena, and Felix—are seated in two parallel rows of three seats each, facing each other for a practice session. One row faces North, and the other faces South. The following conditions are observed:

1. Chen sits at one of the extreme ends and faces North.
2. Aris sits exactly opposite to Chen.
3. Bella faces South and does not sit adjacent to Aris.
4. David sits exactly opposite to the person who sits to the immediate right of Bella.
5. Elena does not sit at any extreme end.

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

  1. Felix sits exactly opposite Bella and faces North.Answer
  2. B
    Elena sits to the immediate left of Bella.
  3. Aris and Bella occupy the extreme ends of the South-facing row.Answer
  4. D
    Chen sits to the immediate right of David.

Answer

The statements asserting that Felix sits opposite Bella facing North, and that Aris and Bella occupy the extreme ends of the South-facing row are correct.
Following the given constraints step-by-step, the South-facing row consists of Aris, Elena, and Bella (from West to East). The North-facing row consists of Chen, David, and Felix (from West to East). This configuration proves that Aris and Bella occupy the extreme ends of their row, and Felix (facing North) sits exactly opposite Bella. Thus, these two statements are correct.

Step-by-Step Solution

1
Determine the rows and extreme ends for Chen and Aris.
Chen is in the North-facing row (Row 2) at an extreme end (assume West end for orientation). Aris is in the South-facing row (Row 1) at the opposite extreme end (West end).
Clues 1 and 2 directly establish their relative opposite positions at an extremity.
2
Determine Bella's position.
Bella is in Row 1 (South-facing). Since Row 1 has only three seats and she cannot sit adjacent to Aris (who is at the West end), Bella must sit at the East end of Row 1.
Clue 3 restricts Bella's placement to the only non-adjacent seat available in a three-seat row.
3
Determine the middle positions for David and Elena.
Bella faces South, meaning her immediate right is to the West (the middle seat of Row 1). David sits opposite this seat, placing him in the middle of Row 2. Elena takes the remaining middle seat in Row 1.
Clue 4 locks David's position based on Bella's relative direction. Clue 5 confirms Elena cannot be at an end, so she takes the only remaining middle seat.
4
Determine Felix's position.
Felix takes the remaining seat, which is the East end of Row 2 (North-facing), directly opposite Bella.
By elimination, Felix must occupy the final available seat in the arrangement.

Key Concept

Parallel Row Seating and Relative Direction Orientation
Estimated Time:2m 0s
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