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【数学讨论稿101-200】1103起数学讨论稿(更新至200题,11/11-19:05)

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91#
发表于 2017-11-11 21:29:59 | 只看该作者
总统大人 发表于 2017-11-11 20:50
这样是没错啊,可是你假设N^2=25,都满足条件(1)(2),这时候N=5啊,,,5怎么可能被10整除。。。。。 ...

5除10=0,余5
92#
发表于 2017-11-11 21:40:18 | 只看该作者

同意!               
93#
发表于 2017-11-12 07:57:54 | 只看该作者
The answer to problem 182 is wrong. The bottom area should not be shaded. Only the area to the left of the intersection should be shaded, since the question only asks about the overlap of the two inequalities. Just a heads up, in the test center, the computer screen display is very bad and the shaded areas were barely visible. Could have been just my test center though.

Also, for problem 95, where there are English and Spanish books on the bookshelf, the question includes a statement of "the first book is chosen at random and not returned to the bookshelf. Then, a second book is chosen." This is a crucial phrase, as the statement 1 would be sufficient if the book was returned. If the book is returned, then the probability would simply be (3/4)*(3/4), but since the book is not returned, statement 1 is insufficient, because it would be (3n-1)/(4n-1)

The addition to problem 113 is right, the original is not. In a company, employees either have their MBA, can speak French, or have their MBA AND can speak French. 40% have their MBA and 80% can speak French. The last part of the question is the key. The question asks, what is the percentage of employees who have an MBA AND can speak French within employees with an MBA.
A: 50%, 40%+80%-100%=20%, and then 20% of 40% is 50%.

There is a square lot (10ft by 10ft) divided into five sections. The first four sections are identical in size and dimensions. The last section has a length and wide of 4ft by 10ft. What is the area of an identical lot? (numbers are made up, as I cannot recall exact numbers, but the numbers works out to be easy, whole numbers)
A: 15sq ft, just do ((10-4)/4)*10)

There is a parking lot with many rows of parking space. Each row has parking spaces equal to two less than the total number of rows. If two spaces are taken out of the first row, the sum of the parking spaces from the first and second row are equal to 44. How many total rows are there? (might be what the guy in #6 was referring to)
A: 25 rows, just set P as parking spaces, and (P-2)+P=44, P=23. Set R as total number of rows, and P=R-2, R=25

Two machines, Machine A and Machine B, working together gets a job done in 4 hours. When Machines A, B, and C work together, they get the job done in 3 hours. How many hours would it take for C to get the job done alone?
A: 12hrs , 1/(A+B)=4, 1/(A+B+C)=3, C=1/12.

On the xy plane, there is a square with an area of 1. Which of the following two points are possible points within the square?
A.) (1/2,1/2), (3/4,1/4)
B.) (1/2,0), (1/4,3/2)
C.) (-1,2), (0,-1)
D.) (2/3,3), (1/3,3/2)
A: A, the only set of two points where the distance is <1.

There is a sequence of numbers where the first term is 2 and the second term is 3. From the 3rd term and on, each term is equal to all the numbers before it. What is the 26th term divided by the 24th term (or vice versa, can't recall)? Specific terms used were like H(26) and T(24), but naming convention is not essential to the problem.
A: 4 (or if it was vice versa, then 1/4), n1=2, n2=3, n3=2+3, n4=(2+3)*2 -> n=(2^(n-3))*(2+3), so if it is 26th term divided by 24th term, the answer is 4.

Okay, I am too tired to remember more. Most of my problems were very different and I have a bad memory. Sorry guys.
94#
发表于 2017-11-12 10:13:35 | 只看该作者
求教146题怎么解
DS:某人捐了7包衣服,然后按重量排序?问排中间的那包重量是否可以求出
条件1:给出了最轻的4包衣服总重量四十点几
条件2:给出了最重的四包衣服平均重量十二点几
构筑答案:我选了c
95#
 楼主| 发表于 2017-11-12 11:18:11 | 只看该作者
总统大人 发表于 2017-11-11 21:05
请问N^2应该是N的平方对吧,那我们假设N^2为25,满足条件(2)(1),这是N=5啊啊啊,,,怎么可能被10整 ...

题目问的是n能否被10除余5,而不是n能否被10整除。当n=5时,被10除余5.请问是什么问题呢?
96#
 楼主| 发表于 2017-11-12 11:28:46 | 只看该作者
IcecubeJason 发表于 2017-11-12 07:57
The answer to problem 182 is wrong. The bottom area should not be shaded. Only the area to the left  ...

182题下部分的阴影部分不是答案哦,是交叉部分才是答案。。
请不要在此贴放狗,我们收集原始稿的童鞋会找不到的。
thanks for sharing
97#
发表于 2017-11-12 12:43:39 | 只看该作者
顶楼主!               
98#
发表于 2017-11-12 13:45:09 | 只看该作者
龙振华 发表于 2017-11-12 11:18
题目问的是n能否被10除余5,而不是n能否被10整除。当n=5时,被10除余5.请问是什么问题呢? ...

哦哦哦懂了
99#
发表于 2017-11-12 13:47:36 | 只看该作者

5除10意思就是10除以5,等于2啊。。
100#
发表于 2017-11-12 14:28:30 | 只看该作者
136题到底是2个还是无数个呀?因为是小于等于,所以意思的指整个范围,而不单只是线,所有整个范围和圆相交就是无数个?
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