Circular seating arrangement – six persons A, B, C, D, E, F sit at equal distances around a round table facing the centre. F sits opposite E and exactly between A and D (i.e., F has A and D as immediate neighbours). C sits to the immediate right of E and C is opposite A. Who are the immediate neighbours of A?

Difficulty: Medium

Correct Answer: B and F

Explanation:


Introduction / Context:
Seating-arrangement questions test the ability to translate relational clues (left/right/opposite/between) into a consistent circular map. Here, six people sit around a table facing the centre. We must determine who sits immediately beside A using the given positional constraints about F, E, C and A.



Given Data / Assumptions:

  • All six (A, B, C, D, E, F) face the centre and are equally spaced.
  • F is opposite E.
  • F is between A and D (i.e., A–F–D or D–F–A consecutively).
  • C is immediately to the right of E.
  • C is opposite A.


Concept / Approach:
In a circle facing the centre, “right of X” is the next clockwise seat from X. “Opposite” is three seats away (since 6 seats). “Between A and D” means F has A on one side and D on the other, so F’s immediate neighbours are A and D.



Step-by-Step Solution:

1) Place A arbitrarily (circular symmetry allows this) and enforce “C opposite A”, so C is three seats from A.2) Since F is between A and D, put F next to A; D must then be on F’s other side.3) Place E opposite F (given). With E fixed, place C immediately to the right of E (clockwise from E).4) The remaining seat belongs to B.5) Reading off A’s neighbours in the final consistent layouts gives B on one side and F on the other.


Verification / Alternative check:
Try the symmetric rotation (start A at a different seat). All valid rotations still force A’s neighbours to be B and F. Hence the answer is invariant under rotation.



Why Other Options Are Wrong:

F and D: F is a neighbour, but D is not adjacent to A in the consistent placements.E and F / E and C: E and C end up across or away from A due to opposite/right constraints.B and D: D is separated from A by F.


Common Pitfalls:
A frequent mistake is reversing “right of” when facing the centre, or misreading “between” as “somewhere in the arc”. Here, “between” means immediate adjacency on both sides of F.



Final Answer:
B and F

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