2. 外语
  3. Is the positive integer m equal to the cube of an integer? (1) For every prime number q, if q is a factor of m, then q3 is also

Is the positive integer m equal to the cube of an integer? (1) For every prime number q, if q is a factor of m, then q3 is also

admin2022-11-19  57
问题 Is the positive integer m equal to the cube of an integer?
(1) For every prime number q, if q is a factor of m, then q3 is also a divisor of m.
(2) is an integer.
选项 A、Statement (1) ALONE is sufficient, but statement (12) alone is not sufficient to answer the question asked.
B、Statement (2) ALONE is sufficient, but statement (11) alone is not sufficient to answer the question asked.
C、BOTH statement (1) and (12) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient to answer the question asked.
E、Statement (1) and(12)TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
答案B
解析 单独(1)，q，q3是m的因子，m不一定是完全立方数，比如m=q4同样能满足q，q3是m的因子。单独(2)，是整数，满足完全立方数的定义，所以选择B。
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