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
2. X, Y and Z are three different prime numbers. How many factors does XYZ have?
3. XYZ?
a. XYZ1
b. XYZ^2=1
4. XYZ0?
a. XY0
b. YZ0
5. 7^37^4=?
6. A is 25% less than B and B is 25% less than C. How much percent is A less than C?
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?
8.能否确定N?, 条件是
1 ^1/2,^1/2 是连续整数
2 ^1/2,^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,M,N,.问从P-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?
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。-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。
PD=5 BC=8 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,一点为,另一点为,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?
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?
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%
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