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A question is given, followed by two statements labelled I and II. Identify which of the statements is/are sufficient to answer the question. A, B, C, D and E are sitting in a straight line facing north. Who sits on the extreme left end? (I) Exactly 2 people sit between A and E. (II) Exactly 2 people sit between B and C.
Data in Statement II alone is sufficient to answer the question, while data in Statement I alone is not.
Both Statements I and II put together are not sufficient to answer the question.
Both Statements I and II put together (and not independently) are sufficient to answer the question.
Data in Statement I alone is sufficient to answer the question, while data in Statement II alone is not.
Both Statements I and II put together are not sufficient to answer the question.
When individual statements provide only relative positions without anchoring any person to a specific end (like extreme left), combine them to test if any fixed arrangement emerges. If multiple valid arrangements are possible, the data remains insufficient.
When individual statements provide only relative positions without anchoring any person to a specific end (like extreme left), combine them to test if any fixed arrangement emerges. If multiple valid arrangements are possible, the data remains insufficient.
Analyze Statement I
Statement I states that exactly 2 people sit between A and E in a 5-person linear row facing North. This leaves multiple possible relative configurations (e.g., A _ _ E X, X A _ _ E, E _ _ A X, etc.) without fixing any person to the extreme left end.
Analyze Statement II
Statement II states that exactly 2 people sit between B and C. This is completely independent of Statement I and also allows multiple positions for B and C in a 5-person row.
Combine Statements I and II
Even when combining Statement I and Statement II, there is no common fixed anchor or absolute position given for any person (A, B, C, D, or E) to determine who occupies the extreme left end definitively. Multiple valid arrangements can still be formed.
A: Statement II alone is insufficient as it does not provide positions for A or E. C: Combining both statements still fails to yield a unique arrangement. D: Statement I alone is insufficient as multiple seating orders satisfy the condition.
B is correct because both statements together do not provide sufficient information to determine who sits on the extreme left end of the row.
In seating arrangement data sufficiency questions, always check if an absolute position (like extreme ends or specific neighbors) is provided. Without at least one absolute anchor, relative distances alone cannot determine the exact endpoints.
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