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题库 / Prep2007E1-DS-58
What is the remainder when the positive integer x is divided by 3 ?
(1) When x is divided by 6, the remainder is 2.
(2) When x is divided by 15, the remainder is 2.
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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x除以15余4-->x=15a+4, x/3=(15a+4)/3=5a+4/3=6a+1, 余数是1.
x/6=m…2-->x=6m+2-->x=3*2m+2, -->x/3=2m…2
x=km+b，其中km部分一定是可以被k整除的，x/k的余数取决于b/k的余数。如：
x除以15余4，x除以3余1，因为4/3余1.