两道数学题求解！！

Chasinggirl · 发表于 2018-8-17 12:25:44

1. A school administrator will assign each student in a group of n student to one of m classrooms. If 3<m<13<n, is it possible to assign each of the n students to one of the m classroom so that each classroom has the same number of students assigned to it?
(1) It is possible to assign each of 3n students to one of m classrooms so that each classroom has the same number of students assgined to it.
(2) It is possible to assign each of 13n students to one of m classrooms so that each classroom has the same number of students assigned to it.
本人对于这种互质数的性质实在是拎不清，遇到这种题全凭感觉走。。。看了OG后面的解析也不太懂，有没有好心人帮帮忙~

2.From 2000 to 2003,the number of employees at a certain company increased by a factor of 14 . From 2003 to 2006,the number of employees at this company decreased by a factor of 13.If there were 100 employees at the company in 2006,how many employees were there at the company in 2000?

A200
B120
C100
D75
E60
看到一道OG19新题，感觉不是很难的样子，但是题目读不懂= = by a factor of 14是什么意思？增长了14的因数个人吗？但这样理解根本选不出。。。有朋友看懂了请指点一下

THEGREATMING · 发表于 2018-8-17 13:27:12

第一题，（1）3n可以整除m，表示m或者可以被3整除，或者可以被n整除，或者同时被3和n整除，比如，n=14，m=3，那么3n一样能整除m，但是n却不能整除m
（2）如果13n被m整除，那么m只能被n整除，因为13的factor只有1和13，而3<m<13，所以m不可能为13的factor，所以确定n个学生是可以被平均分到m个班的。

第二题是错了，应该是1/4和1/3，即5/4x*2/3=100，得出x=120

amberwangvv08 · 发表于 2018-8-17 13:30:34

第二题我去搜了一下原题，楼楼你粘错题啦，应该是 a factor of 1／4，后面是1/3；
increased by a factor of 1／4 的意思是增加了1/4；同理，下一个条件是减少了1/3
所以设2000年员工x人
x(1+1/4)(1-1/3)=100
解得x＝120

Chasinggirl · 发表于 2018-8-18 16:02:55

THEGREATMING 发表于 2018-8-17 13:27
第一题，（1）3n可以整除m，表示m或者可以被3整除，或者可以被n整除，或者同时被3和n整除，比如，n=14，m=3 ...

非常感谢

Chasinggirl · 发表于 2018-8-18 16:03:54

amberwangvv08 发表于 2018-8-17 13:30
第二题我去搜了一下原题，楼楼你粘错题啦，应该是 a factor of 1／4，后面是1/3；
increased by a factor ...

嗯嗯已经知道啦~我在kkk上做的，他题目给错了搞得我很懵= =

两道数学题求解！！

所属分类: GMAT考试

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