Data Sufficiency — Circular Seating (Immediate Right of A) All five (A, B, C, D, E) sit around a circle facing the centre. Who sits immediately to the right of A? I. E sits third to the right of D. A is not an immediate neighbour of D. II. C sits second to the left of B. A is not an immediate neighbour of D.

Difficulty: Medium

Correct Answer: Both statements I and II together are sufficient, but neither alone is sufficient.

Explanation:


Introduction / Context:
With everyone facing the centre, left/right are absolute on the circle. We must pinpoint the seat immediately to A’s right.


Given Data / Assumptions:

  • I links D and E (E third right of D) and excludes A adjacent to D.
  • II links B and C (C second left of B) and again excludes A adjacent to D.


Concept / Approach:
Each statement alone leaves multiple placements for the remaining three people producing several candidates to A’s right. Imposing both sets of relations usually yields a unique arrangement.


Step-by-Step Solution:

1) Fix D at a reference seat; place E third to D’s right per I.2) Use II to place B and C consistently (C second left of B).3) Place A respecting “A not adjacent to D”.4) Read off the person immediately to A’s right (unique).


Verification / Alternative check:
Trying alternate start seats for D yields the same relative result under both constraints.


Why Other Options Are Wrong:
I alone or II alone leaves ambiguity; either alone false; even both not sufficient is false.


Common Pitfalls:
Mixing up “second left” vs “third right”, or flipping directions.


Final Answer:
Both statements together are sufficient; neither alone is sufficient.

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