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题库 / GMATAdvanced-DS-74
If x, y, and d are integers and d is odd are both x and y divisible by d?
(1)x+y is divisible by d.
(2)x-y is divisible by d.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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(2) [(x-y)/d]'=0或d-->(x/d)'-(y/d)'=0-->(x/d)'=(y/d)',不能得出x, y对d的余数是0；或(x/d)'-(y/d)'=d，也不能得出x, y对d的余数是0
(1)+(2)，如果(x/d)'-(y/d)'=d，则(x/d)'=d, (y/d)'=d；如果(x/d)'-(y/d)'=0，则(x/d)'=(y/d)'=d/2，因为d是奇数，(x/d)'必定是整数，所以该解为无效解。(1)+(2)只有一种结果，x,y都可以被d整除。
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