请教数学NN们一道GWD题

wojiaowuxia · 发表于 2011-9-15 22:23:31

这道题我看了半天也没明白，请各路高手赐教！
A school administrator will assign each student in a group of n students 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 classrooms 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 assigned 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.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

wojiaowuxia · 发表于 2011-9-16 23:49:30

肿么没有人

cdw · 发表于 2011-9-17 02:06:38

b吧。13n是m倍数。13不是m倍数。所以n是m倍数就可以满足题意。

lianlonger · 发表于 2011-9-17 10:47:10

百度的，希望能帮到你：

有n个学生，m个教室。如果 3<m<13<n，能否可能把每个学生都安排到其中一间教室，以保证每间教室的人数都相同？
(1)把3n个学生平均安排到m间教室是可能的。
(2)把13n个学生平均安排到m间教室是可能的。
其实这道题就是问：
(1)如果3n/m 是整数，那么n/m是整数。
(2)如果13n/m是整数，那么n/m是整数。
(1)肯定不充分，n=21，m=9
(2)充分。因为m小于13，而且13是质数，所以13一定和m是互质的，所以如果13n能够被m整除，那么n一定能被m整除。

isariverson · 发表于 2011-9-17 11:02:14

他问的是“可能”不是“一定”
是不是可以理解为只要有可能就行。
如果这样的话1,2就都充分了啊
2就不说了，一定对
对于1，是有可能在满足3n/m是整数的条件下n/m是整数的
我这么理解有什么偏差么？

请教数学NN们一道GWD题

所属分类: GMAT考试

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