AMC8 2000

AMC8 2000 · Q5

AMC8 2000 · Q5. It mainly tests Basic counting (rules of product/sum), Patterns & sequences (misc).

Each principal of Lincoln High School serves exactly one 3-year term. What is the maximum number of principals this school could have during an 8-year period?

林肯高中的每个校长任期正好3年。8年内该校最多可能有多少位校长？

(A) 2 2

(B) 3 3

(D) 5 5

(E) 8 8

Answer

Correct choice: (C)

正确答案：（C）

Solution

Answer (C): If the first year of the 8-year period was the final year of a principal’s term, then in the next six years two more principals would serve, and the last year of the period would be the first year of the fourth principal’s term. Therefore, the maximum number of principals who can serve during an 8-year period is 4.

答案（C）：如果这 8 年期间的第一年是某位校长任期的最后一年，那么在接下来的 6 年里将有另外两位校长任职，而该期间的最后一年将是第四位校长任期的第一年。因此，在 8 年期间内最多可以有 4 位校长任职。

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