Difficulty: Easy
Correct Answer: 38
Explanation:
Introduction / Context:
Each row's total can be found from a single student’s top and bottom ranks using the same identity as earlier; then we add the two row totals.
Given Data / Assumptions:
Concept / Approach:
For each row: N = top_rank + bottom_rank − 1. Sum both Ns.
Step-by-Step Solution:
Verification / Alternative check:
The counts are independent across rows; nothing in the statement suggests shared students.
Why Other Options Are Wrong:
40 and 32 arise from arithmetic slips; “Cannot be determined” is incorrect because each row’s total is uniquely determined.
Common Pitfalls:
Missing the −1 in each row; adding ranks and subtracting −1 only once.
Final Answer:
38
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