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[数学] 数学题疑难题征集帖

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31#
发表于 2012-2-12 21:30:22 | 只看该作者
请竹林大人 进贴。
摘自Kaplan GRE NEW 2011-2012 Q 第六份 13题。
There are 5 employees willing to serve on one of two different committees. IF each employee can only serve on one committee, how many possible ways are there  for opening committees to be filled?
Key: 5*4=20.
不解,求真相。
32#
 楼主| 发表于 2012-2-13 19:27:54 | 只看该作者
请竹林大人 进贴。
摘自Kaplan GRE NEW 2011-2012 Q 第六份 13题。
There are 5 employees willing to serve on one of two different committees. IF each employee can only serve on one committee, how many possible ways are there  for opening committees to be filled?
Key: 5*4=20.
不解,求真相。
-- by 会员 mst91 (2012/2/12 21:30:22)

这个题目我感觉不很明白,就我自己的理解,5个人,分到两个committees中,每个人有两种选择,那么就是2的五次方,但肯定不可能都分到一个里面去,要减去2,这样就是30种了,答案是20种,无法理解
33#
发表于 2012-2-14 00:02:22 | 只看该作者
再邀竹林大人。
感觉上面那个题目有点问题。
现在有一个寂静里面的题目 请教大家。
参加A的学生30%参加B的20%,只参加A不参加B的5%,问参加B的中只参加B的比例有多少。
34#
发表于 2012-2-14 00:10:56 | 只看该作者
那个……这题什么意思啊,我理解是只要是216的约数就行啊……
35#
发表于 2012-2-14 00:12:29 | 只看该作者
无视刚才那贴……
是这个问题没看懂问什么……


今日更新一题吧
Let S be the set of all positive integers n such that n2 is a multiple of both
24 and 108. Which of the following integers are divisors of every integer n
in S ?
Indicate all such integers.
A 12
B 24
C 36
D 72
谁能给一个很方便的解法啊?
-- by 会员 竹林中人 (2011/12/18 11:56:25)


我自己的解法和OG一样的,感觉蛮蠢的,求出24和108的最小公倍数216,它是6的三次方,也就是2的三次方乘以3的三次方,所以为配成一个完全平方数,必须是2和3的偶数次倍数,216*6=36的平方,216*6*4=72的平方,216*6*9=108的平方,这三个数,36,72,108的公约数有12,36,其他的就没了,后面的数就不用再写了。。
-- by 会员 竹林中人 (2011/12/19 19:46:49)

36#
 楼主| 发表于 2012-2-14 16:57:38 | 只看该作者
这个是说S是一序列的正整数n,且n 的平方是24和108的公倍数,那么问下面的几个数哪些是所以s序列中n的因数
无视刚才那贴……
是这个问题没看懂问什么……


今日更新一题吧
Let S be the set of all positive integers n such that n2 is a multiple of both
24 and 108. Which of the following integers are divisors of every integer n
in S ?
Indicate all such integers.
A 12
B 24
C 36
D 72
谁能给一个很方便的解法啊?
-- by 会员 竹林中人 (2011/12/18 11:56:25)



我自己的解法和OG一样的,感觉蛮蠢的,求出24和108的最小公倍数216,它是6的三次方,也就是2的三次方乘以3的三次方,所以为配成一个完全平方数,必须是2和3的偶数次倍数,216*6=36的平方,216*6*4=72的平方,216*6*9=108的平方,这三个数,36,72,108的公约数有12,36,其他的就没了,后面的数就不用再写了。。
-- by 会员 竹林中人 (2011/12/19 19:46:49)


-- by 会员 exvale (2012/2/14 0:12:29)

37#
发表于 2012-2-15 23:47:33 | 只看该作者
A ranch has horses and ponies. Five-sixths of the ponies have horseshoes. Half of the ponies with horseshoes are Icelandic. If there are three more horses than ponies, what is the minimum number of horses and ponies on the ranch?" T) `" k- {/ x5 r4 u- _% u* @
A. 122 _1 t" ?* W1 n0 U$ U+ x8 P9 l/ d; a
B. 15
C. 279 F  Q8 C3 `) I& H2 A0 I; i# n
D. 482 p5 H3 h) ~8 c! z% G
E. 54
Ans: C

不知道怎么算出来的,那位牛人来讲解一下
38#
发表于 2012-2-15 23:48:25 | 只看该作者
A ranch has horses and ponies. Five-sixths of the ponies have horseshoes. Half of the ponies with horseshoes are Icelandic. If there are three more horses than ponies, what is the minimum number of horses and ponies on the ranch?
A. 12B. 15
C. 27D. 48 E. 54
Ans: C

不知道怎么算出来的,那位牛人来讲解一下
39#
发表于 2012-2-15 23:52:22 | 只看该作者
If x is from 1 to 100, for which function y is the standard deviation maximum
a. y = x/2
b. y = x- 10
c. y = x
d. y = x+10
e. y = 2*x + 5
E
谢谢~~
40#
发表于 2012-2-16 00:14:00 | 只看该作者
1There was a $25 discount on every purchase of $75 there was a 10% charge on shipping which was added before the discount and 20% sales tax after the discount was added. If john paid total $300, what was the original amount of purchase if no sales tax was added per $75
Ans : 240.
2A price of product x is increased by p% to give new price y and then price of y is reduced by r% to
give original price.
Col A: p
Col B: r
Ans: D
3The number of numbers that can be formed by the digits 1,2,3,4,3,2,1. the odd digits are at odd places is given by
A) 430
B) 215
C) 93
D) 36
E) 18
Ans: E
4x is an integer such that x > 3
Col a: number of even factors of 2x
Col b: number of odd factors of 3x
Ans: D
5Which of the following cannot be expressed as the sum of three consecutive integers?
A. 0
B. 1
C. 2
D. 3
E. 5
无答案
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