2. 外语
  3. Both 52 and 33 are factors of n×25×62×73 where n is a positive integer. What is the smallest possible value of n?

Both 52 and 33 are factors of n×25×62×73 where n is a positive integer. What is the smallest possible value of n?

admin2021-10-21  39
问题 Both 52 and 33 are factors of n×25×62×73 where n is a positive integer. What is the smallest possible value of n?
选项 A、25
B、27
C、45
D、75
E、125
答案D
解析 n×25×62×73=n×25×(2×3)2×73=n×27×32×73。
要使52和33成为上式的因子，那么n中必然至少含有一个质因子3，两个质因子5，因此n的最小值为52×3=75。
转载请注明原文地址:https://jikaoti.com/ti/cGzYFFFM
本试题收录于： GMAT QUANTITATIVE题库GMAT分类
0

GMAT QUANTITATIVE

GMAT

相关试题推荐
随机试题
最新回复(0)