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[其他] 面试问题求助--精通数字的看进来.急,在线等 [复制链接]

发表于 2007-6-27 18:32 |显示全部楼层
此文章由 老大卫 原创或转贴,不代表本站立场和观点,版权归 oursteps.com.au 和作者 老大卫 所有!转贴必须注明作者、出处和本声明,并保持内容完整
有一个面试的机会, 中介要偶先做题目,通过了才能有下一轮,都是数字的东西,怕自己做不好,大家一起帮忙看看啊,明天一早要交卷.偶正忙着做第二部分和第三部分的case study呢.估计要通宵了.....

1.        International Juice Inc. plans to introduce a new line of fruit juices with three different flavors: cherry, grape and apple.  50% of buyers will buy cherry, 20% will buy grape, and 30% will buy apple.  Cherry buyers will buy an average of 1.2 cans at a time, grape purchasers 1.4, and apple purchasers 1.6.  Given this information, what percent of the total sales of the new line will cherry be?

2.        Both Company A and Company B sell paper dolls, but company B sells twice as many dolls as Company A.  Company A sells their dolls at a price that is 10% more than Company B.  Company A sells 10,000 dolls per quarter, for a total of $120,000 in sales.  How many more dolls would Company A have to sell during the given quarter to have the same total sales, in British pounds, as Company B?


3.        The results of surveying 100 residents of a city reported that 40 read the daily morning paper, 70 read the daily evening paper, and 20 read neither daily paper.  How many residents:
a.        Read at least one daily paper?
b.        Read both papers?
c.        Read exactly one daily paper?

4.        Upon conducting a survey of their customers, Crunchy Pretzel Company (CPC) has learned that buyers would prefer CPC pretzels much more if CPC increased the salt content by 50%.  Currently, one bag of pretzels is being sold at $1.09 with a $0.11 profit on each bag sold.  The additional salt content will increase the production cost by $0.04 per bag.  Last quarter, CPC sold 2.4 million bags of pretzels.  Assuming the price of the product remains the same, if CPC increases the salt content by 50%, how many additional bags of pretzels will they have to sell to have the same total profit?


5.        CC Company (CCC) manufactures ChocoChip chocolate chip cookies.  Each package costs $100 to manufacture, and is sold to retailers for $150.  Currently, CCC sells 500,000 packages per year of the ChocoChip product.

For an investment of $25,000,000 in new machinery, CCC could produce chocolate chip cookies with nuts for $125 per package.  ChocoNut would also be sold to retailers for $150.  The company has learned that it could sell 250,000 packages of ChocoNut per year.  Assuming sales of ChocoChip remain stable, based upon the profit on sales of ChocoNut, how many years will it take for CCC to recoup their investment in the machinery needed to produce ChocoNut?


6.        No Bite insect repellent is being introduced on the market.  The manufacturer expects 15% of the population in Swampville (population 20,000) to try the product in its first year on the market, purchasing an average of 1.1 cans each on the first purchase occasion.  Of those who try the product, 25% will make an average of two additional purchases during the first year, purchasing an average of 1.6 cans per repeat transaction.  How many cans of No Bite can the manufacturer expect to sell in Swampville during its first year on the market?


7.        A shampoo manufacturer reported the following annual sales results:

                              Percent of Sales         
Unit Size        Unit Price        First Quarter        Second, Third and Fourth Quarters
                       
8 ounces        $2.59        23%        5%
12 ounces        $3.29        31%        15%
16 ounces        $3.99        44%        50%
24 ounces        $4.39        2%        30%

Assuming sales units are equal in each quarter, what is the average number of ounces of a unit sold during the year?


8.        To qualify for promotion, a technical company requires an employee to pass a screening test.  A maximum of 3 attempts are allowed with 6 month intervals between trials.  From past records it is found that 40% pass on the first trial; of those that fail the first trial and take the test a second time, 60% pass; and of those that fail on the second trial and take the test a third time, 20% pass.  For an employee wishing to transfer:
a.        What is the probability of passing the test on the first or second try?
b.        What is the probability of failing on the first 2 trials and passing on the third?
c.        What is the probability of failing on all 3 attempts?


9.        Ninety percent of the population in Woodville has carpeted rooms in their home.  A marketer of carpet cleaner learned that, last year, 10% of the population with carpet purchased Foamy carpet cleaner and 9.5% of the total population purchased it.  What percentage of the population without carpeted rooms in their home purchased Foamy last year?


10.        A market research firm needs to find 100 people who regularly purchase orange juice to complete a survey on a new line of frozen orange juice.  After talking to a random sample of 500 people, 75 orange juice buyers have been found.  Based upon this information, how many additional people in a random sample do they need to interview to reach an expected total of 100 people who regularly purchase orange juice?


叩谢!
沿途走来的每一步看上去都有足够的理由,然而每迈出一步,我就失去了一小部分的自我。
再回首,已无归路。
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发表于 2007-6-27 18:44 |显示全部楼层
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Q1.    (1.2*50%)/(1.2*50%+1.4*20%+1.6*30%)=0.6/(0.6+0.28+0.48)=44%

退役斑竹

发表于 2007-6-27 18:45 |显示全部楼层
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是哪方面的工作? 10题都需要帮忙吗?

发表于 2007-6-27 18:52 |显示全部楼层
此文章由 longyu68 原创或转贴,不代表本站立场和观点,版权归 oursteps.com.au 和作者 longyu68 所有!转贴必须注明作者、出处和本声明,并保持内容完整
Q2.

Price for A’s doll: 120,000/10,000=12
B’s Sales: 120,000*2/110%=218,181.82
Additional dolls for A: (218,181.82-120,000)/12=8,182

退役斑竹

发表于 2007-6-27 18:53 |显示全部楼层
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LONGYU大哥好快的速度~高人

发表于 2007-6-27 18:55 |显示全部楼层
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Q3a. 100%-20%=80%
Q3b. 70%+40%-80%=30%
Q3c. 80%-30%=50%
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发表于 2007-6-27 18:56 |显示全部楼层
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碰巧看到,做几题而已。

发表于 2007-6-27 18:58 |显示全部楼层
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我理解好像错了

[ 本帖最后由 cn_yy 于 2007-6-27 19:03 编辑 ]

发表于 2007-6-27 19:00 |显示全部楼层
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Q4.    2.4*0.11/(0.11-0.04)-2.4=3.77-2.4=1.37 Mil Bags

退役斑竹

发表于 2007-6-27 19:06 |显示全部楼层
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我自己也试着做了一下, 不是很难,有点像IQ题~

发表于 2007-6-27 19:08 |显示全部楼层
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Q5    25,000,000/((150-125)*250,000)=25,000,000/6,250,000=4 yrs
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发表于 2007-6-27 19:09 |显示全部楼层
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到目前为止都不难的,后面的还没有看,先吃饭去了。

发表于 2007-6-27 19:30 |显示全部楼层
此文章由 老大卫 原创或转贴,不代表本站立场和观点,版权归 oursteps.com.au 和作者 老大卫 所有!转贴必须注明作者、出处和本声明,并保持内容完整
多谢啦,
6.
8. 76%, 4.8%, 19.2%
9. 0.5%
10. 167
对吗
第7题怎么做? 16.32 ??

[ 本帖最后由 老大卫 于 2007-6-27 19:43 编辑 ]

发表于 2007-6-27 19:33 |显示全部楼层
此文章由 longyu68 原创或转贴,不代表本站立场和观点,版权归 oursteps.com.au 和作者 longyu68 所有!转贴必须注明作者、出处和本声明,并保持内容完整
Q6   
20,000*15%*(100%*1.1+25%*2*1.6)=5,700 cans

Q7  
(8*23%+12*31%+16*44%+24*2%)*25%+(8*5%+12*15%+16*50%+24*30%)*75%
=(1.84+3.72+7.04+0.48)*25%+(0.4+1.8+8+7.2)*75%
=3.27+13.05
=16.32

发表于 2007-6-27 19:35 |显示全部楼层
此文章由 longyu68 原创或转贴,不代表本站立场和观点,版权归 oursteps.com.au 和作者 longyu68 所有!转贴必须注明作者、出处和本声明,并保持内容完整
Q9 不对,是50%

发表于 2007-6-27 19:47 |显示全部楼层
此文章由 老大卫 原创或转贴,不代表本站立场和观点,版权归 oursteps.com.au 和作者 老大卫 所有!转贴必须注明作者、出处和本声明,并保持内容完整
第9题对了,全部搞定,多谢了.
到底是做会计的,算得真快!
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发表于 2007-6-27 19:47 |显示全部楼层
此文章由 老大卫 原创或转贴,不代表本站立场和观点,版权归 oursteps.com.au 和作者 老大卫 所有!转贴必须注明作者、出处和本声明,并保持内容完整
继续做偶得第二部分case study去了

发表于 2007-6-27 19:55 |显示全部楼层
此文章由 花开花落 原创或转贴,不代表本站立场和观点,版权归 oursteps.com.au 和作者 花开花落 所有!转贴必须注明作者、出处和本声明,并保持内容完整
Q2.我算的结果不一样

Price for A’s : $120,000/10,000=$12
Price for B's: $12/110%=$10.9
Additional dolls for A: (10,000*2*$10.9 - $120,000)/$12 = 8167

发表于 2007-6-27 19:58 |显示全部楼层
此文章由 longyu68 原创或转贴,不代表本站立场和观点,版权归 oursteps.com.au 和作者 longyu68 所有!转贴必须注明作者、出处和本声明,并保持内容完整
原帖由 花开花落 于 2007-6-27 19:55 发表
Q2.我算的结果不一样

Price for A’s : $120,000/10,000=$12
Price for B's: $12/110%=$10.9
Additional dolls for A: (10,000*2*$10.9 - $120,000)/$12 = 8167


四舍五入的差异,你算Price for B的时候保留5位小数,估计结果就一样了,呵呵。
http://longyu68.spaces.live.com/

退役斑竹

发表于 2007-6-27 20:08 |显示全部楼层
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原帖由 longyu68 于 2007-6-27 19:58 发表


四舍五入的差异,你算Price for B的时候保留5位小数,估计结果就一样了,呵呵。


没错,像我刚才自己用$10.91来算, 结果就有点儿不一样~
海賊王に俺はなる!
背中の傷は、剣士の恥だ!
生きたいッ!
パンツ見せてもらってもよろしいでしょうか!
It is not the strongest of the species that survives, nor the most intelligent, but rather the one most adaptable to change.
[img][/img]

发表于 2007-6-27 20:09 |显示全部楼层
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呵呵,是哦,还是你那种算法好啊,准。
我那算的是阿婆数。
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发表于 2007-6-27 20:13 |显示全部楼层
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完全不懂,但是预祝老大卫顺利通过面试!

发表于 2007-6-27 20:49 |显示全部楼层
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会做这些题意味着什么?

发表于 2007-6-28 14:06 |显示全部楼层
此文章由 老大卫 原创或转贴,不代表本站立场和观点,版权归 oursteps.com.au 和作者 老大卫 所有!转贴必须注明作者、出处和本声明,并保持内容完整
多谢兄弟们,早上面试顺利通过,进入下一轮。

这些题是screen testing。。。

发表于 2007-6-28 15:43 |显示全部楼层
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GX,GX

发表于 2007-6-28 16:12 |显示全部楼层
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刚看到,题看来是不用做了.
先预祝你下一轮面试顺利.
成了可别忘记通知一声.
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退役斑竹 参与宝库编辑功臣

发表于 2007-6-28 17:34 |显示全部楼层
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申请是哪方面工作啊?

退役斑竹

发表于 2007-6-28 17:40 |显示全部楼层
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GX LZ通过首轮面试~

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