2. 职称英语
  3. x is a positive integer. When x is divided by 2, 4, 6 or 8, the remainder is 1.

x is a positive integer. When x is divided by 2, 4, 6 or 8, the remainder is 1.

游客2024-01-12  16
问题 x is a positive integer. When x is divided by 2, 4, 6 or 8, the remainder is 1.
Quantity A: x
Quantity B: 24
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 D
解析 根据题目：x=2q+1=4p+1=6n+1=8m+1，其中q，p，n，m分别为x除以2，4，6，8后的商，得出x-1=2q=4p=6n=8m。当q，p，m≠0时，x-1是2，4，6，8的公倍数，即x-1是2，4，6，8四个数最小公倍数的倍数。又2，4，6，8的最小公倍数为24，故x-1可以为24，48，72，…，x可以为25，49，73，…。当q，p，m，n=0，x-1=0，所以x=1。故答案为D。时刻牢记，当被除数＜除数时，商=0的特殊情况。
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