Five students A, B, C, D, E sit in a circle facing each other. E sits between A and D (i.e., E has A and D as immediate neighbours). Also, A is to the immediate right of B. Who sits to the immediate left of B?

Difficulty: Medium

Correct Answer: C

Explanation:


Introduction / Context:
This is a small-circle seating question (five seats). The goal is to translate the minimal clues into a unique relative placement and identify who sits to B’s immediate left (counterclockwise from B when all face the centre).



Given Data / Assumptions:

  • People: A, B, C, D, E; all face the centre.
  • E is between A and D (so E’s immediate neighbours are A and D).
  • A is to the immediate right of B (A is the next clockwise seat from B).


Concept / Approach:
In a circle facing the centre, “right of X” means the next seat clockwise from X. With five seats, we can fix B’s seat without loss of generality (rotational symmetry) and build the circle using the constraints.



Step-by-Step Solution:

1) Place B at an arbitrary position and put A immediately to B’s right (clockwise).2) Place E such that its two neighbours are A and D. This forces two consecutive seats around E to be A and D in some order.3) Fill the remaining seat with C.4) Read off the person to B’s immediate left (the counterclockwise neighbour of B).5) In the consistent arrangement that satisfies both clues, the person to B’s immediate left is C.


Verification / Alternative check:
Because of rotational symmetry, try starting B at a different seat. The relative mapping remains equivalent, and the identity of the left neighbour of B remains C.



Why Other Options Are Wrong:

A: A is explicitly to B’s right, not left.B: One cannot be to one’s own immediate left in a seating puzzle.D / E: Under the enforced adjacencies around E, neither D nor E occupies B’s left seat in any valid arrangement.


Common Pitfalls:
Confusing “left” and “right” while facing the centre is common. Remember: facing inward, clockwise is right; counterclockwise is left.



Final Answer:
C

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