题目

x, y, and z are three consecutive multiples of 3 such that 0<x<y<z.


Quantity A

The remainder when the sum of x + 1, y-2, and z + 3 is divided by 9

Quantity B

2

选项

A.

The quantity in Column A is greater.

B.

The quantity in Column B is greater.


C.

The two quantities are equal.


D.

The relationship cannot be determined from the information given.


解析

x+1、y-2与z+3的和为x+y+z+2。 由于x、y、z是3的连续倍数,故y=x+3,z=x+6。 (x+y+z+2)/9 = (x+x+3+x+6+2)/9 = (3x+11)/9 = x/3+11/9 因为 x 是3的倍数,所以第一项的余数为0,第二项的余数为2。 因此选选项C。
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