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请教几道模考数学题

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楼主
发表于 2005-12-1 06:18:00 | 只看该作者

请教几道模考数学题

1For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100)+1, then p is



  • between 2 and 10

  • between 10 and 20

  • between 20 and 30

  • between 30 and 40

  • greater than 40


  • Key:E



    2Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one’s annual income to the average (arithmetic mean) of 100 units of Country R’s currency and 1 percent of one’s annual income. Which of the following represents the simplified formula for computing the income tax, in Country R’s currency, for a person in that country whose annual income is I?




  • 50+I/200

  • 50+3I/100

  • 50+I/40

  • 100+I/50

  • 100+3I/100


  • Key: C



    3Each employee of Company Z is an employee of either Division X or Division Y, but not both. If each division has some part-time employees, is the ratio of the number of full-time employees to the number of part-time employees greater for Division X than for Company Z?


    (1)   The ratio of the number of full-time employees to the number of part-time employees is less for Division Y than for Company Z.


    (2)   More than half the full-time employees of Company Z are employees of Division X, and more than half of the part-time employees of Company Z are employees of Division Y.


    Key: D


    .


    4Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How many of the animals are cows?


    (1)   the farm has more than twice as many cows at it has pigs.


    (2)   The farm has more than 12 pigs



    Key: C


    疑问:条件(1)怎样用算式表示呢? P=2C or P-2C=C. 记得小学时候老师经常强调ABN倍实际上是AB(N+1)倍,不知用英语表达意思也是一样呢?

    沙发
    发表于 2005-12-1 10:59:00 | 只看该作者

    先回答第2题吧。


    题目说的是简化前:tax=2%I+(100+1%I)/2。你简化后得到的就是C了。

    板凳
    发表于 2005-12-1 11:20:00 | 只看该作者

    第3题,画个图会比较直观。


    用式子的话:设Xf/Yf为full time in X/Y,Xp/Yp为part time in X/Y,X,Y,Z为X,Y,Z中的总员工数。则有


    X=Xf+Xp


    Y=Yf+Yp


    Z=X+Y


    问你能不能推出Xf/Xp>(Xf+Yf)/(X+Y)


    你把(1)和(2)推算一下就可以了。每个条件都可以确定的。

    地板
    发表于 2005-12-1 12:13:00 | 只看该作者
    第一题,http://forum.chasedream.com/dispbbs.asp?boardID=22&ID=6680里8楼donna有精彩的解答。
    5#
     楼主| 发表于 2005-12-1 13:00:00 | 只看该作者
    以下是引用jjll在2005-12-1 10:59:00的发言:

    先回答第2题吧。


    题目说的是简化前:tax=2%I+(100+1%I)/2。你简化后得到的就是C了。



    明白了。是我没理解题意。
    6#
     楼主| 发表于 2005-12-1 13:20:00 | 只看该作者
    以下是引用caesar2005在2005-12-1 12:13:00的发言:
    第一题,http://forum.chasedream.com/dispbbs.asp?boardID=22&ID=6680里8楼donna有精彩的解答。


    确实经典!


    7#
     楼主| 发表于 2005-12-1 13:39:00 | 只看该作者
    第四题应怎么解呀?any NN?
    8#
    发表于 2005-12-1 14:11:00 | 只看该作者

    第4题:


    一共40只猪,或者牛,这一点没有问题。条件1说牛比猪的两倍还多,条件2说,猪多于12只,那么结合一下条件1,2和已知条件,就得出猪是13只,牛是27只。


    [此贴子已经被作者于2005-12-1 14:18:46编辑过]
    9#
    发表于 2006-1-18 10:27:00 | 只看该作者
    以下是引用jjll在2005-12-1 10:59:00的发言:

    先回答第2题吧。


    题目说的是简化前:tax=2%I+(100+1%I)/2。你简化后得到的就是C了。


    为什么还要除以2?从题目中哪里看出来的?谢谢!

    10#
    发表于 2006-1-19 08:11:00 | 只看该作者
    以下是引用zj1179在2006-1-18 10:27:00的发言:


    为什么还要除以2?从题目中哪里看出来的?谢谢!


    因为是平均数

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