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题库 / Prep2007E2-DS-197
The integers m and p are such that 2 < m < p and m is not a factor of p. If r is the remainder when p is divided by m, is r > 1 ?
(1) The greatest common factor of m and p is 2.
(2) The least common multiple of m and p is 30.
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.
还没有题目讲解（毕出老师会陆续发布对官方考题的解读，请保持关注）。
1）最大公约数是2，m,p都是偶数。 被除数p=除数m乘以商再加上余数，m是偶数，m乘以商也是偶数，如果余数是1的话，加上1，得出的被除数p就是奇数了，矛盾。所以余数不是1. 充分
2）公倍数的概念没理解到位 。将30写成3*2*5，可算出所有的组合（3,10）（5,6）（6,10）（6,15）（10,15），其中，前两组余数为1，后两者余数为3和5，不充分
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