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