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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.
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(1) 没有把最大公倍数为2这个条件所传达的信息——m,p均为偶数给抓出来。
(2) 对最小公倍数的概念不够熟悉：它的计算方法是两个数分解质因数，每个质因数最高次幂之积。
30=2*3*5，再去基于此去凑a,b能有哪些不同的组合，只要满足每个质因数的最高次幂都是1即可。
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