Of the positive integers that are multiples of 30 and are less than or equal to

游客2025-02-24 29

问题 Of the positive integers that are multiples of 30 and are less than or equal to 360, what fraction are multiples of 12 ?

选项 A、1/6
B、1/5
C、1/3
D、2/5
E、1/2

答案 E

解析在小于等于360的30的正倍数中，12的倍数占了几分之几?
解：本题的正确答案是(E)。该题也就是求30和12的最小公倍数占了小于等于360的30的正倍数的几分之几。解答该题的关键在于理解“of”这个介词的作用。意为“…中”，而that引导的定语从句修饰这些正整数，fraction译为分数，what fraction译为几分之几?30与12的最小公倍数是60，是30的倍数并且小于等于360的正整数共有12个，很显然是60的倍数并且小于等于360的正整数共有6个，所以1/2是正确答案。

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