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
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。