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87. There are three reps from each of the six companies. in how many ways can they shake hand,without shaking hands with their colleagues from the same company
小鱼评价：135
88. there is a figure of a quadrilateral. which looks like a trapezium, but is not. 2 side of this have length of x on each side (take this as the top right side 2 lines), the top right angle is 90 degrees, the bottom left is 60. find the perimeter.
小鱼评价：没看明白，条件不充分？
89. there are 10 gallons of water, some .01 (or maybe .001) evaporates every day. After 20 days how much has evaporated as a percentage of total.
小鱼评价：1-0.99^20
90. (1/(root3-root2)^2 = ?
小鱼评价：5+2*根号6
91. some 10 students donated 28 clothes. the range per student for the donation is 2. how may clothes did 3 students donate.
小鱼评价：0，6，9？？
92. a computer sells for $2,200 (or something close to it), this has a 40% markup, now what is the price with a 50 % markup
小鱼评价：2357
93.火星卫星到火星核心的距离是5700，火星卫星到火星表面的距离是3600，假设火星是标准球体，问火星赤道周长。
作者答案及思路：(4200Pi)
小鱼评价：同意
94. 下列哪个数可能是1/n - 1/(n+1)的值，n为integer。
作者答案及思路：(1/30)
小鱼评价：同意
95. 已知84=22*m+n，m,n都是正整数，问m。条件一，n=18;条件二，其中n是84被22除的余数。
作者答案及思路：(d)
小鱼评价：同意
95. x,y都是整数，求xy=? 条件：a)最大公约数是3，b)x/y=7/15
作者答案及思路：(d）
小鱼评价：C
96. twin prime integars is the difference between two prime is 2, Ask: which of the following numbers could be the average of the twin prime integars.
作者答案及思路：(30)
小鱼评价：同意
97. x^2+6x+q, what is the value of q?(I have trouble with this question)
1). X^2+6x+q=x^2+rx+r-2. some r is satisfied for this quotation. All variable X is satisfied for this
2). x^2+6x=Q=(x+m)(x+n), some m and n is satisfied for this quotation. All variable X is satisfied for this
作者答案及思路：
小鱼评价：D？A？
98. 有A\B\C三个人工作,如果A work alone, 2个小时 把水empty,B work alone, 3 hours to empty it. C work alone, 6 小时 fill 容器,如果 A B C work together, how many minutes will it be empty if it has been 1/2 fill.
作者答案及思路：(45min)
小鱼评价： 同意
99. p and v two different coffees. p is 24 pounds, v is 25 pounds. mix p and v to two different mixtures, X and Y. if mixture X, p:v =4:1, mixture Y p:v =1 :5. ask the p's weight in mixture X.
作者答案及思路：(20)
小鱼评价： 同意
100. 3 meals，chicken, beef and fish. 它们数量之比是7:5:2. number of fish meal is more than 5, 问总共供应了多少份meal？
(1)total number of beef + chicken is smaller than 30.
(2)number of chicken meal is smaller than 25.
作者答案及思路：(b)
小鱼评价： 同意
101. bookstore is on sale，new book $13，used book $5. the gross profit of a new book is 30% of the cost. the gross profit of a used book is 100% of the cost. how much gross profit can the bookstore earn from $67 sale?
作者答案及思路：(19.5)
小鱼评价： 同意
102. 一个数列，S0, S1, S2... Sn.S0=0, ask S10 1)Si = S(i-1) + i; i>=1 2)Si - S(i-1) = i^2; i>=1
作者答案及思路：(chose D but not sure)
小鱼评价：D
103. 一个数列里有１０００个数，问它们的和<1?
(1)数列里的每一个数都小于0.0009;
(2)数列里２００个最大的数相加起来<0.22;
作者答案及思路：(I chose D)
小鱼评价： A
104.ABCDEFG7种药，AB不能混吃，其余的无所谓，任取三种药，有多少种组合？
作者答案及思路： C(3,6)*2 第三题
小鱼评价： c3.7-c1.5
105.看X报的有60%,看Y报的有75%.问至少有多少人两种报都看?
作者答案及思路： 答案:35%
小鱼评价： 同意
106.桌上有少于50 books was stacked by 7, 1 left out, 问 How many books?
1) stacked by 9, 7 left out
2) stacked by 4, 3 left out
小鱼评价：A
107.DS:x,y两忙挣钱，问 in june，the rate x 挣的钱 to y挣的钱？
a) x in june挣的钱比y in may挣的钱多50%
b) y in june挣的钱比in may挣的钱增长了25%
小鱼评价： C
108.这是最后一题。452*36*17 中，哪个数字增加1，乘积增加小于1000？我的最后议题
A. 1 B. 2C. 5D. 7 E. 4
小鱼评价： B
109.讲一个书店在sale，新书卖13元一本，旧书卖5元一本。每卖一本新书，书店的gross profit是书原价的30%，而每卖一本旧书，书店的gross profit是原价的100%(这里我记得不是太清楚）。现在有一个顾客买了67块钱书，问书店从他身上赚了多少gross profit.
作者答案及思路： 这道题巨绕，关键思路是先解不定方程13x+5y=67, 算出唯一整数解x=4,y=3. 然后再算出一本新书的gross profit=3，一本旧书的gross profit=2.5，总利润=3*4 + 2.5*3 = 19.5
小鱼评价： 同意
110.在数轴上有2个点K,M；其中A和B距离-3的距离相等，问能否确定A的坐标。
I-1在A和原点之间
IIA到原点的距离是B的两倍
作者答案及思路： E
小鱼评价：大家讨论
111.DS；A，B，C，D，E，F，G，七个整数被7除的REMAINDER 的RANGE 是否各不相同？
A ：RANGE 是6
B：这7个数是连续的整数。
小鱼评价：B
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发表于 2004-1-7 00:20:00
