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1. X is a positive integer. 2-height of X is defined as the greatest negative integer n where 2^n is a factor of X. K and M are two positive integers. Whether 2-height of K is greater than 2-height of M?
a. K is greater than M
b. K is even times of M
(Key: B)
2. X, Y and Z are three different prime numbers. How many factors does X*Y*Z have? (Key: 8)
3. XY%26gt;Z?
a. XYZ%26gt;1
b. XYZ^2=1
(Key: C)
4. XYZ%26gt;0?
a. XY%26gt;0
b. YZ%26gt;0
(Key: E)
5. 7^3*7^4=? (Key: 7^7)
6. A is 25% less than B and B is 25% less than C. How much percent is A less than C? (Key: 1/3)
7. A can finish one job in X hours. A does this job three times as fast as B does. If A and B work together, how many hours can they finish the job? (Key: 3X/4)
8.能否确定N?， 条件是
1 (69+N)^1/2，(94+N)^1/2 是连续整数
2 (94+N)^1/2，(121+N)^1/2 是连续整数
我答D
9.还有就是两条平行线，一条有5个点，一条4个点问能组成多少个直角三角形
我答70个
10. 一个正三角形，边长5，中间内切一圆，问圆的面积
11. 在坐标系中有3点P(2,1),M(5,1),N,(5,5).问从P-%26gt;M-%26gt;N的距离比从P直接到N的距离大多少
12. R,S,T为正整数，问T/S^2是否是整数? 1)T/RS是整数 2)R/S是整数
13. 0.6是0.0015的多少倍?(400)
14. 唯一的jj：有一box,厚度of the plastic 是1，inner三个边长为x,y,z，求plastic 的体积。(x+2)(y+2)(z+2)-xyz把式子展开就是了。
15.有一梯形ABCD，AD=CD，P为AD上一点，求梯形面积。
(1)PD=5 (2)BC=8 (数字不准确) 我选E
16.有12个什么DD,其中3个defective,某人买2个randomly,问neither is defective的概率?
17.一直角三角形,直角顶点为(0,3),一点为(-4,0),另一点为(b,0),求b?
18.2个数的积为48,其中一个比另一个大2,求大的那个数? (8)
19.一个半圆的street,直径为1mile,7个点把这个半圆分成相等的8段,某人以15mile/hour从最左一点开始走,问3分钟后他在哪2点之间? (好象是在第四段)
20. 一公司A业务占总收入的25%，B业务占t%,C业务占余下的，B业务收入是150，000 C业务是总收入-225，000 求t=?
My Answer: 50%
