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Data Sufficiency — Circular Seating & Facing (All Facing Centre?) Are A, B, C, D, and E — around a circle — all facing the centre? I. B sits second to the right of D. D faces the centre. C sits on the immediate right of both B and D. II. A sits on the immediate left of B. C is not an immediate neighbour of A. C sits on the immediate right of D. III. D is an immediate neighbour of both A and C. B sits on the immediate left of A. C sits on the immediate right of B.

Difficulty: Hard

Statements I and II together are sufficient; any other single statement is not.
Statements II and III together are sufficient; any other single statement is not.
Statements I and III together are sufficient; any other single statement is not.
All three statements together are necessary; no pair suffices.
Even all three statements together are not sufficient.

Correct Answer: Statements II and III together are sufficient; any other single statement is not.

Explanation:

Introduction / Context:
We must decide common facing from relational seating facts. With three statements, we adapt options to pair/triple sufficiency.

Given Data / Assumptions:

I provides D’s facing and a right-of chain but leaves ambiguity for A.
II provides adjacency of A/B and the right-of relation C/D.
III provides tight neighbourhoods linking D, A, C, B in a cycle.

Concept / Approach:
Combining II and III yields a forced cycle consistent only when everyone faces the centre; attempts to flip facing create contradictions in “immediate left/right”.

Step-by-Step Solution:

1) From III, fix the triangle (A,B,C) around D.2) Apply II to position A left of B and C right of D, collapsing orientation.3) Check alternatives under outward facing — contradictions arise.

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