急!!!求问几道GRE数学题,高手进!

本人文科生,请各位大侠详解! 感激!
1. S=1-1/2+1/3-1/4+1/5-1/6+1/7-1/8+1/9-1/10与1/2比大小

解:S=1/2+(1/3-1/4)+(1/5-1/6)+(1/7-1/8)+(1/9-1/10),其中括号内式子都大于0,所以1/2+大于0的数一定大于1/2

2. Y=x+1/x且0<x<10. 问the value of y与100比大小 答案是不确定

3. How
many positive 4-digit integers begin(on the left) with an odd digit and end
with an even digit? 答案是2500

看不懂题干

4. Which
of the following sets of numbers has the greatest standard deviation?

A. 2,3,4 B. 2.5, 3, 3.5 C. 1, 1.25, 1.5 D. -2, 0, 2 E. -20, 21, 21.5

答案是D,请问如何以最快速度判断出而不是算?

5. Workers
at Companies X and Y are paid the same base hourly rate. Workers at Company X
are paid 1.5 times the base hourly rate for each hour worked per week in excess
of the first 37, while the base hourly rate for each hour worked per week in
excess of the first 40. In a given week, how many hours must a Company X worker
work in order to receive the same pay as Company Y worker who works 46 hours? 答案是45

看不懂题目

6. Carol’s
age, in years, can be expressed by reversing the digits in her father’s age, in
years. The sum of the digits in each age is 10. 比较the positive difference between Carol’s age, in years,
and her father’s age, in years与36大小 答案是不确定

看不懂题目

7. A
developer has land that has x feet of lake frontage. The land is to be subdivided
into lots, each of which is to have either 80 feet or 100 feet of lake
frontage. If 1/9 of the lots are to have 80 feet of frontage each and the
remaining 40 lots are to have 100 feet of frontage each, what is the value of
x? 答案是不确定

看不懂题

8. What
is the least integer value of n such that (1/2^n)<0.001? 答案是10

怎做?

1、你做的很对啊

2、是不确定。如果x=9,则y=9+1/9<100;如果x=1/100,则y=1/100+100>100,所以是不确定。

3、四位的正整数里有多少是以奇数开始以偶数结束的(即:千位上是奇数、个位上是偶数)?
四位的正整数就是从1000到9999。
其中:千位是奇数的有5000个(即:1、3、5、7、9开头的)。
这5000个数里,以偶数结尾的占一半(以0、2、4、6、8的顺序循环往复,直至9998,正好是2500个)。
所以答案是2500。

4、用大白话说,标准差反映的就是一组数互相离的有多远。一眼看上去,相邻数之间的差都比较大的,标准差就大(这道题里的各个选项,除了最后一个都是等差数列,很容易看)。

5、你好像少抄了一部分题目,应该是在while后面漏抄了,因为题目里根本没提y公司怎么规定的,没法比较。

6、Carol的年龄是她爸爸年龄的数字倒过来,她们的年龄那两个数字之和是10(例如Carol 28,她爸爸82),问:父女俩的年龄差与36哪个大。
如果Carol 28,她爸爸82,则82-28=54>36;
如果Carol 46,她爸爸64,则64-46=18<36;
如果Carol 37,她爸爸73,则73-37=36=36。
所以答案是不确定。

7、开发商有块地,有x英尺临湖(你也可以说那是“湖岸线”)。把地分成若干块,每块有80或100英尺的湖岸线,如果1/9的地都有80英尺的湖岸线,剩下的40块地每块有100英尺的湖岸线,求x值。
【我怎么算的是4400,不是不确定啊。答案没看错吧?】

8、1/2的n次方<1/1000,只要找出比能让2的n次方大于1000的最小的n就行了,2的10次方等于1024,是满足条件的最小n,所以答案是10。
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