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In this question, a question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer.
Question: A, B, C, D and E are sitting around a circular table facing the centre. Who sits to the immediate right of A?
Consider the following statements:
(I) Only one person sits between D and C. E sits to the immediate right of D.
(II) B sits to the immediate left of D. Only one person sits between B and E. Only one person sits between E and C.
Decide whether the data provided in the statements are sufficient to answer the question.
Data in statements I and II together are sufficient to answer the question.
Data in Statement I alone is sufficient to answer the question while data in statement II is not.
Data in statements I and II together are NOT sufficient to answer the question.
Data in Statement II alone is sufficient to answer the question while data in statement I is not.
Data in Statement II alone is sufficient to answer the question while data in statement I is not.
Map the circular positions (1-5) using Statement II first; if you can fix the relative positions of all five, the answer is unique.
Map the circular positions (1-5) using Statement II first; if you can fix the relative positions of all five, the answer is unique.
Analyze Statement I
Given: D and C have one person between them, E is to the immediate right of D. Let D be at position 1. E is at position 5 (facing centre). C could be at 3 or 4. Since A and B are left, multiple seating arrangements are possible for A, making Statement I insufficient.
Analyze Statement II
B is immediate left of D. Let D = pos 1, then B = pos 2. One person between B and E: E can be pos 4 or 5. One person between E and C: If E = pos 4, C could be 2 (taken) or 6 (invalid). If E = pos 5, C could be 3. Placing B=2, D=1, E=5, C=3, A must be 4. This uniquely places A relative to D and others, allowing us to determine A's immediate right neighbor.
A: Statement I is insufficient; B: Statement I does not yield a unique position for A; C: Data is sufficient using Statement II alone.
D is correct because Statement II provides enough constraints to fix the position of all five individuals, enabling the identification of the person to the immediate right of A.
In circular arrangement puzzles, always check if the number of people equals the number of seats; if all seats are defined relative to one another, the data is usually sufficient.
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