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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. Q. A, B, C, D and E are sitting in a straight line facing north. Who sits on the extreme left end? (I) A sits fourth to the right of E. (II) Exactly 1 person sits between B and C.
Data in Statement I alone is sufficient to answer the question, while data in Statement II 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 II alone is sufficient to answer the question, while data in Statement I is not.
Data in Statement I alone is sufficient to answer the question, while data in Statement II is not.
In a linear arrangement of 5 people, knowing the exact position of one person relative to another (e.g., 4th to the right) identifies the total span (1-5), thereby fixing the extreme ends.
In a linear arrangement of 5 people, knowing the exact position of one person relative to another (e.g., 4th to the right) identifies the total span (1-5), thereby fixing the extreme ends.
Analyze Statement I
If A is 4th to the right of E in a row of 5, the positions are: 1st=E, 2nd=, 3rd=, 4th=_, 5th=A. Thus, E must be at the extreme left end. This statement is sufficient.
Analyze Statement II
Knowing only that 1 person sits between B and C does not fix their positions relative to the ends of the row. There are multiple configurations possible (e.g., B-X-C-D-E or D-B-X-C-E). This statement is insufficient.
Conclusion
Since Statement I alone provides a unique answer, Option A is correct.
B: Incorrect because I is sufficient. C: Incorrect because I alone is sufficient. D: Incorrect because II is insufficient.
A is correct because Statement I confirms that if A is 4th to the right of E in a line of 5, E must occupy the 1st position (extreme left).
In seating arrangement data sufficiency questions, always check if the total number of people is defined, as this acts as a boundary to lock positions.
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