Study the following information carefully and answer the question. Eight…

2023

Study the following information carefully and answer the question. Eight persons—A, B, C, D, E, F, G, and H—sit around a square table. Four sit at the middle of the sides and face inward, while four sit at the corners and face outward. G sits second to the left of C. Three persons sit between D and B. H sits opposite A but does not sit at the middle of a side. D sits second to the left of A. F sits second to the right of C. E sits immediately to the right of B. Who sits immediately to the right of D?

Answer: B. CConceptIn a mixed-facing seating arrangement, left and right are read from each seated person’s own viewpoint. At a square table, corner seats face outward…

  1. A.

    G

  2. B.

    C

  3. C.

    F

  4. D.

    A

  5. E.

    None of these

Attempted by 7 students.

Show answer & explanation

Correct answer: B

Concept

In a mixed-facing seating arrangement, left and right are read from each seated person’s own viewpoint. At a square table, corner seats face outward and side-middle seats face inward, so their clockwise and counterclockwise directions are reversed. A valid answer therefore requires fixing all seats before reading an immediate-neighbor relation.

Application

  1. Number the seats 0 through 7 clockwise and place A at corner seat 0; choosing a starting seat only fixes the rotation and does not change any relationship.

  2. H is opposite A and is not at a side-middle, so H is at corner seat 4. Because A faces outward, A’s left runs counterclockwise; D, second to A’s left, is at corner seat 6.

  3. Three persons sit between D and B, so B is opposite D at corner seat 2. B also faces outward, making B’s immediate right the next clockwise seat; therefore E is at side-middle seat 3.

  4. The remaining side-middle seats are 1, 5, and 7 for C, F, and G. Since C faces inward, C’s second-left position is two seats clockwise and its second-right position is two seats counterclockwise.

  5. If C were at seat 1, G would need occupied seat 3. If C were at seat 5, F would need occupied seat 3. The only consistent case is C at seat 7, which places G at seat 1 and F at seat 5.

  6. The unique clockwise order is therefore A, G, B, E, H, F, D, C. D is at outward-facing corner seat 6, so D’s own right runs clockwise to seat 7, occupied by C.

Cross-check

The final order gives H opposite A, B opposite D with three persons on either arc, D second to A’s left, E immediately to B’s right, G second to C’s left, and F second to C’s right. Every clue holds with no collision, confirming that C sits immediately to D’s right.

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