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题库 / Prep2007E2-DS-21
Is the integer n odd?
(1) n is divisible by 3.
(2) 2n is divisible by twice as many positive integers as n.
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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条件2：2n的因数是n因数的两倍
2的引入使2n有两倍于n的因子，说明2不是n的因子。
所以n一定是奇数
【结论】If kn is divisible by twice as many positive integers as n, then n isn't divisible by k.
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