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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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(1) -->(x/d)'+(y/d)'=0或(x/d)'+(y/d)'=d;
(2) -->(x/d)'=(y/d)';
(1)+(2)-->(x/d)'=(y/d)'=0或(x/d)'=(y/d)'=d/2。因为d是奇数，而余数必为整数，所以(x/d)'=(y/d)'=d/2为无效解-->(x/d)'=(y/d)'=0
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