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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:
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2025-02-23
42
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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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