2. 职称英语
  3. x and y are integers such that 0＜y＜x.H = 100x+10x+4G = 100y+10y+2M = (H−G)(H+

x and y are integers such that 0＜y＜x.H = 100x+10x+4G = 100y+10y+2M = (H−G)(H+

游客2025-02-23  11
问题 x and y are integers such that 0＜y＜x.
H = 100x+10x+4
G = 100y+10y+2
M = (H−G)(H+G)
Quantity A: The units digit of M
Quantity B: 2
选项 A、Quantity A is greater.
B、Quantity B is greater.
C、The two quantities are equal.
D、The relationship cannot be determined from the information given.
答案 C
解析 H-G=100(x-y)+10(x-y)+2，个位为2(题目条件为x＞y，对个位没有影响；若x＜y则个位为8)。H+G=100(x+y)+10(x+y)+6，个位为6。显然2×6=12，个位为2，故答案为C。
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