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Jeremy is to list consecutive positive integers starting from 1. Which of the fo
Jeremy is to list consecutive positive integers starting from 1. Which of the fo
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2025-02-23
51
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问题
Jeremy is to list consecutive positive integers starting from 1. Which of the following statements individually provide(s) sufficient additional information to determine the last integer in his list? Indicate all such statements.
选项
A、Digit “2” appears 15 times.
B、Digit “5” appears 15 times.
C、Digit “8” appears 9 times and digit “9” appears 8 times.
答案
B,C
解析
本题和前两道题目一样可使用列举法答题。题目求的是列出最后一个数的充分条件。选项A: 1到10中只有1个,11到20中有2个,21到30中有10个,31到42中有2个,这时数字2刚好出现了15次,42后面的一个数字不含有“2”,则列表上的最后一个数字不确定。选项B: 1到10中只有1个,11到20中只有1个,21到30中只有1个,31到50中有3个,51到59中有10个,第16次出现“5”的数字是59。因此,58是第15次出现“5”的数字。选项C:1到10中只有1个,11到20中只有1个,21到30中只有1个,31到40中只有1个,41到50中只有1个,51到60中只有1个,61到70中只有1个,71到80中有2个,第10次出现“8”的数字是81。因此,80是列表上的最后一个数字。
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