分享數學機經

[香波寶]

Verbal 考得不理想，就不發表了
Argument
Because occupancy rates for campus housing fell during the last academic year, so did housing revenues. To solve the problem, campus housing officials should reduce the number of available housing units, thereby increasing the occupancy rates. Also, to keep students from choosing to live off-campus, housing officials should lower the rents, thereby increasing demand.
Issue
Although restricting public access can help protect national parks and historical sites. In fact there should be few, if any, such restrictions because these places were intended for everyone to use.
數學 49分
1).n是4質數之乘積，其中有2個質相同，求n之因數個數？
Ans:(1+1)(1+1)(2+1)=12
2).X=100^100 問X^X=？
Ans:10^10^102
3).在同一時間內，A走40m B走30m 今走100m A過終點時B距終點為？
Ans:25m
4). 一個圓柱體，半徑5，裝水高9，換到另一個容器，該容器高4，問該容 器半徑？
Ans:7.5
5).GWD13-3變形版，可能跟另一題GWD很像
有330人，each participant in a certain study was assigned a sequence of 3 different letters(密碼) from the set {A, B, C, D, E, F, G, H}. If no sequence was assigned to more than one participant (Note, for example, that the sequence A, B, C is different from the sequence C, B, A.)問有幾個密碼沒人用？
Ans:6個
6).GWD9-37
A club with a total membership of 30 has formed 3 committees,M, S, and R, which have 8, 12, and 5 members, respectively. If no member of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on non of the committees?
Ans:10
7).1998比1997多(1+X)percent,1999比1998多(1-X)percent,1997
比1999多9%,問X?
Ans:30
8).(前人JJ)有3位英語老師，2位數學老師，4位語文老師，學校抽其中兩位去開會，抽中都是英語老師的概率 （C2/3比C2/9）

我還依稀記得3-4題比較難的，但是題目有點忘了，思考一下再PO囉~