[讨论]数学绿OG上的两个题目疑问

ccxwind

以下是我目前做绿OG的数据充分部分时有问题的两道题，欢迎大家指点。

3.If n is an integer,then n is divisible by how many positive integers?

 (1) n is the product of two different prime numbers.

 (2) n and 2³ are each divisible by the same number of positive integers.

此题我选B，但答案是D。我认为第一个中，如果n=3，它是1和3的乘积，那么它只能被它自身和1两个数整除。如果n=6，它是2和3的乘积，它能被1、2、3、6四个数整除，所以这显然是不确定的啊，不知道为什么说（1）也对？

22.A sun of $200,000 from a certain estate was divided among a spouse and three children.How much of the estate did the yongest child receive?

(1) The spouse received 1/2 of the sum from the estate ,and the oldest child receivec 1/4 of the remainder.

(2) Each of the two yonger children received $12,500 more than the oldest child and $62,500 less than the spouse.

我选了E，而答案是B。答案的解法是将年轻的那两个孩子所得设为x，列方程：x+x+(x-12,500)+(x+62,500)=200,000,所以可求得x。我的疑问是，题目中没有说明较年轻的这两个孩子所得相当啊？如果一个是x，一个是y，设另一个孩子的所得为A，spouse的所得为B，那么只能得到：x-A>12,500 , y-A>12,500 , B-x>62,500 , B-y>62,500。所以x、y的解都是不确定的。这样理解是否正确呢？

clamy

第（1）题：1不是质数，所以n不可能为3，所以一定是答案一定是4个

第（2）题：它说了两个年轻的孩子每人都比最年长的多12500，所以如果年长的是n，两个年轻的都是n+12500

ccxwind

非常感谢