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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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"审题理解不清
m is not a factor of p.
——> m,p都是整数，m不是p的因子，说明p/m是除不尽的，必须有一个余数（即余数r不能为0），又因为m,p都是大于2的整数，所以余数r只能等于1或者大于1（不能为分数和负数）
——>题目问何时r>1，即需要排除r=1的情况。"
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