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还有三天要奔赴战场了~把GWD整理了下,有好多疑惑~一并解决,有点多!希望各位进来讨论下·感谢

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楼主
发表于 2010-10-24 04:43:20 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
首先在这祝愿各位考到自己理想的成绩~
请各位在解释的的时候详细一点~本人对数学比较小白·谢谢
Q1
There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks.  How many possible selections of 4 books from this self include
at least one paperback?

A. 40
B. 45
C. 50
D. 55
E. 60
这道题目~我算的结果是D~答案给的C~感觉答案有误~求证

Q2
A shipment of 8 television sets contains 2 black-and-white sets and 6color sets. If 2 television sets are to be chosen at random from this shipment, what is
the
probability that at least 1 of the 2 sets chosen will be a black-and-white set?
A. 1/7  B. ¼  C. 5/14  D. 11/28  E. 13/26
Answer:13/28
第二题与第一题是一个类型,我算的结果是13/28。求证

Q3
During a 10-week summer vacation, was the average (arithmetic mean) number of books that Carolyn read per week
greater than the average number of books that Jacob read per week?

(1) Twice the average number of books that Carolyn read per week was greater than 5 less than twice the
 average number of books that Jacob read per week
.

(2) During the last 5 weeks of the vacation, Carolyn read a total of 3 books more than Jacob.
条件1很绕·求解释

Q4
Does the decimal equivalent of P/Q, where P and Q are positive integers, contain only a
finite number of nonzero digits?
(1) P>Q  
(2) Q=8
题我感觉应该选B,答案是E~~求证

Q5
If the average (arithmetic mean) of the assessed values
of x houses is $212,000 and the average of the assessed
values of y other houses is $194,000, what is the average
of the assessed values of the x+y houses?
(1) x+y=36
(2) x=2y
这题我感觉条件2就足够了,选B·答案是C~难道我有什么条件忽略了?求证

Q6.
At a fruit stand yesterday, the price of each apple was $0.10 more than the price of each orange.
What was the total revenue from the sale of oranges at the fruit stand yesterday?

(1) The number of oranges sold at the fruit stand
    yesterday was 5 more than the number of apples.
(2) The total revenue from the sale of apples at the fruit stand yesterday was $15.00
这题我感觉选E,答案给的是C,感觉答案错了·求证

Q7.
if X>1 and Y>1, is X<Y?
(1) X^2/(XY+X)<1  
(2) XY/Y^2-Y<1
这题条件1得出 X<Y+1,条件2得出X<Y-1,所以感觉选B, 可恶的答案又给出E。求证

Q8.

Last year in a group of 30 businesses, 21 reported a net profit and 15 had investments in foreign markets.
How many of the businesses
did not report a net profit nor invest in foreign markets last year?
(1) last year 12 of the 30 businesses reported a net profit and had invest-ments in foreign markets.
(2) last year 24 of the 30 businesses reported a net profit or invested in foreign markets, or both.
这题我感觉选D,答案莫名其妙的给的B~还是求证

Q9:
From a group of 3 boys and 3 girls, 4 children are to be randomly selected.  What is the probability that equal numbers of boys and girls will be selected?
A.1/10
B.4/9
C.1/2
D.3/5
E.2/3
这题求思路~What is the probability that equal numbers of boys and girls will be selected?这句话把我问迷糊了。求指点

Q10:
If x and y are positive integers and 1 + x + y + xy = 15, what is the value of x + y?
A. 3
B. 5
C. 6
D. 8
E. 9

这题求方法~我做这个题是一个数一个数的试~太费时间,有简单的方法吗?


讨论完这些再发第二贴!谢谢各位指教。


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沙发
发表于 2010-10-24 05:30:48 | 只看该作者

首先在这祝愿各位考到自己理想的成绩~
请各位在解释的的时候详细一点~本人对数学比较小白·谢谢
Q1
There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks.  How many possible selections of 4 books from this self include
at least one paperback?

A. 40
B. 45
C. 50
D. 55
E. 60
这道题目~我算的结果是D~答案给的C~感觉答案有误~求证

Q2
A shipment of 8 television sets contains 2 black-and-white sets and 6color sets. If 2 television sets are to be chosen at random from this shipment, what is
the
probability that at least 1 of the 2 sets chosen will be a black-and-white set?
A. 1/7  B. ¼  C. 5/14  D. 11/28  E. 13/26
Answer:13/28
第二题与第一题是一个类型,我算的结果是13/28。求证

Q3
During a 10-week summer vacation, was the average (arithmetic mean) number of books that Carolyn read per week
greater than the average number of books that Jacob read per week?

(1) Twice the average number of books that Carolyn read per week was greater than 5 less than twice the
 average number of books that Jacob read per week
.

(2) During the last 5 weeks of the vacation, Carolyn read a total of 3 books more than Jacob.
条件1很绕·求解释

Q4
Does the decimal equivalent of P/Q, where P and Q are positive integers, contain only a
finite number of nonzero digits?
(1) P>Q  
(2) Q=8
题我感觉应该选B,答案是E~~求证

Q5
If the average (arithmetic mean) of the assessed values
of x houses is $212,000 and the average of the assessed
values of y other houses is $194,000, what is the average
of the assessed values of the x+y houses?
(1) x+y=36
(2) x=2y
这题我感觉条件2就足够了,选B·答案是C~难道我有什么条件忽略了?求证

Q6.
At a fruit stand yesterday, the price of each apple was $0.10 more than the price of each orange.
What was the total revenue from the sale of oranges at the fruit stand yesterday?

(1) The number of oranges sold at the fruit stand
    yesterday was 5 more than the number of apples.
(2) The total revenue from the sale of apples at the fruit stand yesterday was $15.00
这题我感觉选E,答案给的是C,感觉答案错了·求证

Q7.
if X>1 and Y>1, is X<Y?
(1) X^2/(XY+X)<1  
(2) XY/Y^2-Y<1
这题条件1得出 X<Y+1,条件2得出X<Y-1,所以感觉选B, 可恶的答案又给出E。求证

(2) xy/(y^2-1)?

Q8.

Last year in a group of 30 businesses, 21 reported a net profit and 15 had investments in foreign markets.
How many of the businesses
did not report a net profit nor invest in foreign markets last year?
(1) last year 12 of the 30 businesses reported a net profit and had invest-ments in foreign markets.
(2) last year 24 of the 30 businesses reported a net profit or invested in foreign markets, or both.
这题我感觉选D,答案莫名其妙的给的B~还是求证

Q9:
From a group of 3 boys and 3 girls, 4 children are to be randomly selected.  What is the probability that equal numbers of boys and girls will be selected?
A.1/10
B.4/9
C.1/2
D.3/5
E.2/3
这题求思路~What is the probability that equal numbers of boys and girls will be selected?这句话把我问迷糊了。求指点
也就是各两个。
total number is C^4_6=15;
C^2_3*C^2_3=9,
9/15=3/5 is this the answer?

Q10:
If x and y are positive integers and 1 + x + y + xy = 15, what is the value of x + y?
A. 3
B. 5
C. 6
D. 8
E. 9

这题求方法~我做这个题是一个数一个数的试~太费时间,有简单的方法吗?
(x+1)(y+1)=15, then x+1=3; y+1=5; x+y=6;

讨论完这些再发第二贴!谢谢各位指教。
其他你的答案我觉是对的。

-- by 会员 owen870930 (2010/10/24 4:43:20)

板凳
发表于 2010-10-24 05:49:30 | 只看该作者
第一道题选D,同意
at least one paper back就等于(8选4种总的可能)减去(6选4一个paperback都没有的可能)
地板
 楼主| 发表于 2010-10-24 05:52:05 | 只看该作者
谢谢LS解答·  继续求证Q3
Q9的问题能解释下吗?还是不太明白
5#
发表于 2010-10-24 06:01:22 | 只看该作者
前两题 和你答案一样
6#
发表于 2010-10-24 06:04:42 | 只看该作者
What is the probability that equal numbers of boys and girls will be selected?就是问,在选择出来的四个人中,男女人数相等的概率是多少。所以只能2男2女。
7#
发表于 2010-10-24 06:06:42 | 只看该作者
Q3
5< 2* caro < 2* jaco

Q9

C^4_6 means choose 4 from 6.
if equal, there has to be 2 boy and 2 girl
谢谢LS解答·  继续求证Q3
Q9的问题能解释下吗?还是不太明白


-- by 会员 owen870930 (2010/10/24 5:52:05)

8#
 楼主| 发表于 2010-10-24 06:18:30 | 只看该作者
明白了·谢谢各位进来解答~终于明白了~
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