单选题 the average of three positive integers x, y and z is an odd integerQuantity A: the remainder when (x+y)z is divided by 2Quantity B: the remainder when (x+z)y is divided by 2

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.

【正确答案】 C

【答案解析】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。