If an integer n is divisible by both 12 and 15, it must also be divisible by which of the following?

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问题 If an integer n is divisible by both 12 and 15, it must also be divisible by which of the following?

选项 A、25
B、16
C、30
D、40
E、70

答案C

解析 12=2²×3，15=3×5，而n能够被12和15整除，那么n就至少具有因子2²，3¹，5¹，选项中哪个数能够由上面因子中的一个或者几个相乘得到，那么这个数就一定能够整除n；25具有两个因子5，不行；16具有4个因子2，也不行；30=2×3×5，2，3，5全部可以为n的因子，因此30一定能够整除n，选择C。

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If an integer n is divisible by both 12 and 15, it must also be divisible by which of the following?

GRE QUANTITATIVE

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