Difficulty: Easy
Correct Answer: Statement I alone is sufficient; Statement II alone is not.
Explanation:
Introduction / Context:
This Data Sufficiency problem asks for the exact number of students between two named positions in a fixed-length row (50 students). We must judge whether each statement provides enough information independently, or only together, or neither.
Given Data / Assumptions:
Concept / Approach:
For position conversions, use: position_from_left = N - position_from_right + 1, where N = 50. The count of people strictly between two positions L1 and L2 (from the same end) is abs(L1 - L2) - 1. Data Sufficiency focuses on the adequacy of information rather than repetitive arithmetic.
Step-by-Step Solution:
Verification / Alternative check:
Recompute between-count carefully to avoid off-by-one mistakes; “between” excludes end positions themselves.
Why Other Options Are Wrong:
Common Pitfalls:
Mixing “between” with inclusive counts; forgetting to convert right-to-left positions correctly; mishandling the ±6 ambiguity in II.
Final Answer:
Statement I alone is sufficient; Statement II alone is not.
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