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Difficulty: MediumSeating Arrangement

Eight students—P, Q, R, S, T, U, V, and W—are seated in two parallel rows containing four people each, such that there is an equal distance between adjacent persons.

In Row 1, P, Q, R, and S are seated and all of them are facing South.
In Row 2, T, U, V, and W are seated and all of them are facing North.
In the given seating arrangement, each member seated in a row faces another member of the other row.

- Q sits second to the left of S.
- The person facing Q sits to the immediate right of W.
- P sits at one of the extreme ends of the row.
- V faces the person who sits to the immediate right of R.
- T sits at an extreme end of the row, and does not face P.

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

  1. U sits at an extreme end of the row and faces P.Answer
  2. B
    W sits second to the left of U.
  3. R faces the person who sits to the immediate left of T.Answer
  4. D
    P sits to the immediate left of S.

Answer

The correct statements are that U sits at an extreme end facing P, and R faces the person who sits to the immediate left of T.
Based on the final arrangement, U is at the leftmost extreme end of Row 2 and faces P at the leftmost extreme end of Row 1, making the statement about U correct. T is at the rightmost extreme end of Row 2 facing North, meaning W is to T's immediate left; R sits directly opposite W, making the statement about R correct.

Step-by-Step Solution

1
Establish the left and right directions for both rows based on their facing directions.
Row 1 (South): Left is rightward, Right is leftward (from the observer's view). Row 2 (North): Left is leftward, Right is rightward.
Correctly orienting directions is critical before placing individuals in a parallel arrangement.
2
Place S and Q using the clue: 'Q sits second to the left of S'.
Since S faces South, 'left' means moving to the observer's right. Possibility 1: S is at position 1 (far left), Q is at position 3. Possibility 2: S is at position 2, Q is at position 4.
This establishes the relative spacing between two individuals in Row 1.
3
Incorporate the clues about W and P to test the possibilities.
Using 'P sits at an extreme end': In Possibility 1, P must be at 4. In Possibility 2, P must be at 1. Using 'The person facing Q sits to the immediate right of W': In Possibility 1, Q(3) faces pos 3. W must be at 2. In Possibility 2, Q(4) faces pos 4. W must be at 3.
Combining extreme end constraints with facing constraints helps fill the grid.
4
Apply the clue regarding V and R: 'V faces the person who sits to the immediate right of R'.
In Possibility 1, the remaining Row 1 person R is at 2. R's right (facing South) is pos 1 (S). V faces S, so V is at 1. In Possibility 2, R is at 3. R's right is pos 2 (S). V faces S, so V is at 2.
This locks in the position of V in Row 2 based on the remaining individuals in Row 1.
5
Resolve the final positions using the clue: 'T sits at an extreme end... and does not face P'.
In Possibility 1, V=1, W=2. T must be at 4 (extreme end). But P is at 4, meaning T faces P, which violates the condition. Thus, Possibility 1 is invalid. In Possibility 2, V=2, W=3. T must be at 1 or 4. If T is at 1, T faces P (at 1), violating the condition. Therefore, T must be at 4. The remaining person U goes to position 1.
This eliminates the invalid scenario and provides the single correct final arrangement.
6
Document the finalized seating grid.
Row 1 (South-facing, left-to-right): P, S, R, Q. Row 2 (North-facing, left-to-right): U, V, W, T.
A complete layout is required to evaluate the given statements in the options.

Key Concept

Applying relative directional reasoning (left/right inversion) in a two-row parallel seating arrangement.
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Topics

Seating Arrangement

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