题库搜索>数据充分DS-14998
How many factors does x have, if x is a positive integer?
(1) x=pn , where p is a prime number.
(2) nn=n+n , where x is a positive integer.
分析A选项
分析B选项
分析C选项
分析D选项
分析E选项
我一定能杀G成功
指数的底数不可以为0,下面说n=0的不太对。n=2可以。
zhbzhb
(1)单独无法求解,但是能够了解到x的表达式是什么,并得知x的factors=n+1;(2)没有与x相关的内容所以同样没法单独求解,但是通过表达式能够得出n=0;(1)与(2)结合能够得出x的factors=n+1且n=0,故可以求解。
丢
由条件1得出X的factor有n+1个,因为n未知,所以不充分
由条件2得出n=2,但不知n与x的关系,不充分
两者结合x为一个prime number的平方,则x的factor为1,p,p的平方,选C
正在加速小流星
1和2各自不充分 根据条件1+2,n=0或者2 当n=2时,假设p=17,x=17^2=17*17*1, x有三个因数, 当n=0时,假设p=17,x=17^0=1, 这时x有1个因数 所以为啥E是错的?
185035cctz
问了老师,这个题是错的,第2个条件应该是nⁿ=n+n, 那么n只能等于2,因为0的0次没有意义,所以1+2条件充分。
Litchichi
以为条件2中的 x 写错,实际是对的。而条件2的目的就是为了算出条件1中的 n,只要确认 n = 2,且,根据条件1的信息,在确认 p = 质数的前提下,则 x = (p^2) 可根据因数的计算得出 x 的因数数量 = 2 + 1 = 3.
Tomson
n怎么会是等于1或0?不应该是2或0吗?
诶呀
题目没有问题吗,最后一个条件是不是应该n is a positive integer.
诶呀回复诶呀
哦哦,好像不管n=0还是1,factor都是1
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2018-09-08 15:47:37
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