A, B, C, D, E, F and G are sitting in a line facing the east. C is immediate…

2025

A, B, C, D, E, F and G are sitting in a line facing the east. C is immediate right of D. B is at one of the extreme ends and has E as his neighbor. G is between E and F. D is sitting third from the south end. Who are the persons sitting at the extreme ends?

  1. A.

    A and B

  2. B.

    C and D

  3. C.

    A and E

  4. D.

    F and B

Attempted by 50 students.

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Correct answer: A

Final arrangement (left to right): B E G F D C A

  • Place B at one extreme and E next to B because B is at an extreme end and has E as his neighbor.

  • G is between E and F, so put G between E and F. With B and E placed, this gives the partial sequence B E G F.

  • C is immediately right of D, so C must be adjacent to the right of D.

  • D is third from the south end. Counting from the right end (south end) places D in the fifth position from the left, making the remaining seats D C A.

  • Combining all placements results in B E G F D C A, so the persons at the extreme ends are A and B.

Therefore, the persons sitting at the extreme ends are A and B.

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