AMC 8 2000 Problem 9

AMC8 2000 年第 9 题

表达式与运算★★☆☆☆
Three-digit powers of 2 and 5 are used in this "cross-number" puzzle. What is the only possible digit for the outlined square?
在这个交叉数字拼图中使用了 2 和 5 的幂,且都是三位数。则黑体所示的正方形内唯一可能的数字是多少?
ACROS|横着 DOWN|竖着
AMC 8 2000 Problem 9 figure
  1. A.0
  2. B.2
  3. C.4
  4. D.6
  5. E.8

正确答案 · Correct Answer

D

解析 · Solution

Solution 1

The 3 -digit powers of 5 are 125 and 625, so space 2 is filled with a 2. The only 3 -digit power of 2 beginning with 2 is 256, so the outlined block is filled with a (D) 6\text{(D) 6}.

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