Difficulty: Medium
Correct Answer: Statement II alone is sufficient; Statement I alone is not sufficient.
Explanation:
Introduction / Context:We must judge whether all five persons face the centre based on positional relations.
Given Data / Assumptions:
Concept / Approach:In circular seating, “left/right of” depends on facing. When at least one person’s facing is fixed, the remaining left/right relations can propagate to fix all facings.
Step-by-Step Solution:
1) Under I: with only B’s facing fixed, multiple consistent configurations exist for others (some outward possible), so I is insufficient.2) Under II: since C faces centre and all others are positioned by “second right” / “immediate neighbour” relations from C and D, the configuration collapses uniquely, yielding all facing centre.Verification / Alternative check:Attempting outward assignments under II breaks the given “second right” relations, showing a unique inward solution.
Why Other Options Are Wrong:I alone cannot conclude for all; together is unnecessary if II already suffices; “either alone” is false; “even both not sufficient” is false.
Common Pitfalls:Applying left/right without fixing facing; assuming adjacency alone fixes orientation.
Final Answer:Statement II alone is sufficient.
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