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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?
admin
2021-10-21
117
问题
Both 5
2
and 3
3
are factors of n×2
5
×6
2
×7
3
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×2
5
×6
2
×7
3
=n×2
5
×(2×3)
2
×7
3
=n×2
7
×3
2
×7
3
。
要使5
2
和3
3
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5
2
×3=75。
转载请注明原文地址:https://kaotiyun.com/show/5CtO777K
本试题收录于:
GMAT QUANTITATIVE题库GMAT分类
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