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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) D sits second to the right of C. (II) Exactly two people sit between B and D.
Both Statements I and II put together are not 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 Statement II alone is sufficient to answer the question, while data in Statement I is not.
Both Statements I and II put together (and not independently) are sufficient to answer the question.
Both Statements I and II put together are not sufficient to answer the question.
Evaluate the degrees of freedom: With 5 people and only two constraints, multiple valid arrangements exist where either A, E, or others could occupy the left end.
Evaluate the degrees of freedom: With 5 people and only two constraints, multiple valid arrangements exist where either A, E, or others could occupy the left end.
Analyze Statement I
D sits second to the right of C. Possible arrangements: C _ D _ _ or _ C _ D _ or _ _ C _ D. We do not know the positions of A, B, or E.
Analyze Statement II
Exactly two people sit between B and D (B _ _ D or D _ _ B). This does not link B or D to C, leaving the relative positions of all five individuals undefined.
Evaluate Combined Data
Combining I and II: (C _ D _ B) or (B _ C _ D) etc. Because the relative position of the block C..D and B..D varies, the person at the extreme left changes depending on where the empty slots are filled.
B: Statement I alone doesn't fix all positions. C: Statement II alone doesn't provide enough information about C or D. D: Combining them still leaves multiple possibilities (e.g., A could be at the left or E could be at the left), hence it is insufficient.
A is correct because the given information is insufficient to determine a unique arrangement, allowing for multiple individuals to occupy the extreme left seat.
In seating arrangement data sufficiency questions, if you can find two different valid arrangements with different people at the required position, the data is always insufficient.
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