When 25 is divided by the positive integer m, the remainder is m-5. Which of the following could be the value of m?

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问题 When 25 is divided by the positive integer m, the remainder is m-5. Which of the following could be the value of m?

选项 A、20
B、7
C、10
D、8
E、14

答案C

解析 25除以m余数为m-5，那么25=m-5(mod m)。于是可以得到25-(m-5)=30-m，这个数能够被m整除，那么m必然是30的因子。30=2×3×5，所以选择C。

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GMAT QUANTITATIVE

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