2. 职称英语
  3. the average of three positive integers x, y and z is an odd integerQuantity A:

the average of three positive integers x, y and z is an odd integerQuantity A:

游客2025-02-23  12
问题 the average of three positive integers x, y and z is an odd integer
Quantity A: the remainder when (x+y)z is divided by 2
Quantity B: the remainder when (x+z)y is divided by 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 被2除只有两种情况，整除的话这个数就是偶数，余数为1这个数就是奇数。z，y，z是三个连续的整数，那么它们的平均数就是y；已知平均数为奇数，那么y就是奇数。x和z就都是偶数，所以(x+y)z为偶数，(x+z)y也是偶数，那么它们被2除的余数相等，选择C。
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