GMAT考试1-GMAT数学12月总结(一)
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>Z? a. XYZ>1 b. XYZ^2=1 (Key: C) 4. XYZ>0? a. XY>0 b. YZ>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->M->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% |