2. 职称英语
  3. A K-number is a positive integer with the special property that 3 times its unit

A K-number is a positive integer with the special property that 3 times its unit

游客2024-01-12  25
问题 A K-number is a positive integer with the special property that 3 times its units’ digit is equal to 2 times its tens’ digit.

Column A                                             Column B
The number of K-numbers between 10 and 99            3
选项 A、if the quantity in Column A is greater
B、if the quantity in Column B is greater
C、if the two quantity are equal
D、if the relationship cannot be determined from the information given
答案 C
解析 K是一个具有特殊性质的正整数：其个位数(units)的3倍等于十位数(tens)的2倍。
解：本题的正确答案为(C)。该题中的K-number为题中定义的一个函数，其个位数与十位数的关系为：3m=2n(m为个位数，n为十位数)。题目中的左项为10到99之间的K整数的数目，而满足方程3m=2n的数只有m=2，4，6；n=3，6，9。也就是10至99之间的K整数有32，64，96。
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