Prep DS1 169

girlwithwings · 发表于 2010-7-13 15:20:17

If the integers a and n are greater than 1 and the product of the first 8 positive integers is a multiple of aⁿ, what is the value of a ?

(1)aⁿ = 64

(2)n = 6

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答案】B

【思路】(1)
= 64 , =64 , =64 , not sufficient
(2) n = 6 ,
= 64 , sufficient

请问为何n =6可以求出？

题目给的the product of the first 8 positive integers is a multiple of a^{n 是什么意思？}

girlwithwings · 发表于 2010-7-15 04:03:06

逃离北京 · 发表于 2010-7-15 04:30:18

If the integers a and n are greater than 1 and the product of the first 8 positive integers is a multiple of a^n, what is the value of a ?
(1)an = 64
(2)n = 6

前八个正整数的乘机为8!= 1*2^7*3^2*5*7，题目还说这个乘积是a^n的倍数
条件二，说指数为6，只有2的指数为7，是大于6的，其他的数字都不能达到6次方

不知道我说明白没有。。。。

girlwithwings · 发表于 2010-7-15 10:32:01

the first 8 positive integers 是不是可以理解为从1开始的连续的正整数啦？

逃离北京 · 发表于 2010-7-15 15:37:24

是的，直接翻译就是“前8个正整数”

Prep DS1 169

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