IBM蓝色之路2010暑期实习生计划 笔试资料、地点、时间
以下内容是根据IBM2009暑期实习笔试的内容整理的，不代表今年的笔试方向，所以仅供各位参考！
IBM笔试主要考察学生的逻辑思维水平和推理能力，笔试为全英文，对英语的阅读能力要求比较高。
1.笔试题型：
1-15题 数据处理题（DM），13分钟 15道题；
16-35题 数字序列题（NS）， 4分钟 20道题；
36-47题 数学推理题（MR），15分钟 12道题；
2.题型备考资料
1）数据处理题：即矩阵题
1.一共有三个5*5的矩阵，每个矩阵5小题，大概有这样一些：把所有的W替换成2，所有的Y替换成6，所有的X替换成4，哪一行和哪一列的和等于18？
把第四列反转，把第2行和第二列替换，第三列第四个下面的数字是什么？
把出现了数字2次数最多的那一行的出现的唯一一个字母从矩阵中删掉，它出现在矩阵其他地方的次数减去3出现的次数和4出现的次数减一是多少？
把每一个出现在数字2和3左边的'字母全部与他们右边的数字交换，出现在数字最多的那一列的两个字母是？
2.开始给出一个4×5的矩阵，然后矩阵中的元素是类似于a,b,c,d这样的字母，题目有某一行中出现次数最多的元素是什么，这样的比较简单，还有从某个元素开始按逆时针或是顺
时针方向旋转得到的元素是什么之类的，这样的就比较麻烦。
题目介绍：
1.
E D C B A
C A D E B
A D B C E
B E D A C
D C A E B
Start at the fourth letter of Column 5 and follow the letters around the outs
ide of the pattern in a clockwise direction. What is the second letter between the second E and the second B you come to?
答案：C
解析：根据题意，从第5列第4个字母开始，在矩阵元素外沿顺时针方向走，在第2个E字母和第2个B字母之间的第二个字母应该为C，如图所示：
2:
A B 2 C 3
1 1 B 3 D
A 1 B C 4
5 A 5 2 B
E 5 D 2 C
In the row that has more letters than numbers, in which the numbers are separated by only one letter, and in which the numbers sum to less than the sum of
the numbers in the second column, which letter comes just before the second number, counting from right to left?
答案：C
解析：根据题意：（1）字母比数字多的行有第1行、第3行、第5行；（2）数字只被1个字母隔开的行只有第1行；（3）在第1行中，从右往左数，在第2个数字（即2）之前的字母应
该为C。
这道题的关键是找出题干中要求的那一行，其中最后一个条件：这一行的数字之和要小于第二列的数字之和（即1+1+5=7）可作为排除第5行的依据。
3:
E D C B A
C A D E B
A D B C E
B E D A C
D C A E B
If Row 4 were reversed, what letter would be above E in Row 5?
答案：E
解析：如果将第4行的字母倒转，则第4行变为：C A D E B，则在第5行字母E的上面的字母就是变化后的低行，从右往左数的第2个字母E。
tips：
搞清楚题目考察的位置，row,column,diagonal,reverse这些词要搞懂，然后用什么替代什么也搞搞清楚，可以用笔简单标一下，铅笔和黑色水笔区分开两次标记，然后再用其他字
迹的笔标另外一次，关键是让自己看明白。最高境界大概是不标直接看！
主要是时间不太够，这个部分拼得就是速度
2）数字序列题
基本上都是两个一组，三个一组，全是一个规律：连续几个数字，跳一个，再连续几个数字。
题目介绍：
It consists of number series. In some institutes alphabetical series is given instead of number series.
1. 30,28,25,20,34,28,?
a:21
2. 4,8,16,32,64,128,?
a:256
3. 8,16,24,32,40,48,?
a:56
4. 13,11,14,12,15,13,?
a:16
5. 6,18,36,108,216,648,?
a:1296
6 4,4,8,8,16,16,?
a:32
7. 2,6,18,54,162,486,?
a:1458
8. 4,20,35,49,62,74,?
a:85
9. 10,18,15,23,20,28,?
a:25
10. 4,10,8,14,12,18,?
a:16
11.10,15,12,17,14,10,?
a:16
tips：这部分时间是最紧张的，看了题目直接在答题卡上划个线标出来，然后hr收试题的时候再慢慢去涂到你觉得最漂亮为止，千万别在试题卷上标记答案而没有在答题卡上标，
这样既浪费时间而且可能等下试卷被收了还没把答案涂到答题卡上。
3）数学推理题
繁琐的数学，像初中的分数应用题，计算量比较大，全是小数点和分数。
中文：
1.有3台复印机（copier），平均每台每周工作42小时，每台每周最少工作35小时，问一台复印机每周最多会工作多少小时？
42*3 - 35*2 ＝56
2.在一个长11 meters，宽6 meters的房间里，铺上10 centimeters厚的水泥，问需要多少水泥？
11*6*0.1＝6.6 cubic meters
3.某公司有两座办公楼，一天，第一座楼20％的复印机和第二座楼40％的复印机需要进行维护，如果第一座楼拥有公司60％的复印机，问这天在维护的复印机是多少？
20% * 60% + 40% * (1 - 60%) = 28%
4. 要在一个接待室(reception room)里铺瓷砖，接待室的长18 meters，宽12 meters，同时要修一条从大厅(hall)到楼梯(stair way)的通道（不铺瓷砖）占地50 square meters
，允许铺设时有35%的浪费(wastage)，1平方米瓷砖的价格是10美元，问大约(approximately)要花多少钱？
(18 * 12 - 50) * 135% * 10 = 2,200
5. 某公司要做一个车辆更新，有2种车型，一种是X(忘了，用X代替),一种是van，新X每liter油走20公里，新van每liter油走15公里，旧 X每liter油走15公里，旧van每liter油走
12公里。现在要开15000公里，其中有60％由van来承担，问更新后将节省多少油？
(15000 * 60% / 12 + 15000 * 40% / 15) - (15000 * 60% / 15 + 15000 * 40% / 20)= 250
6.有2个行政打字员(administrative typist)，A的速度是B的1 1/4 times，现在要打72页文件，问快的那个人打了多少页？
72* 5/9 = 40
7.有一个呼叫中心，星期二的calls比星期一的1/2还多1/3，星期一和星期二的calls的和是120，问星期二的calls是多少？
48
8.有一个软件公司，1/2的人是系统分析员，2/5的人是软件工程师，有1/4的人两者都是，问有多少人两者都不是？
1 - 1/2 - 2/5 + 1/4＝ 0.35
9.有一个crate要做等比例(proportionally)的缩放，为了能够便于运输(shipment)，crate的尺度(dimension)是72,96,48，如果缩放到三个尺度的和是200，问最长的那个尺度要
缩多少？
96 * (1 - 200 / 216) = 64 / 9 = 7.1
10. 有一个矩形，长是宽的1 1/3 times，如果把每边增加1，面积将增加85，问长是多少？
48
11.有一个printer，一小时能打12,000页，早上8:30开始打印，中途被打断2次，每次5分钟，13:15打完，问总共打了多少页？
55,000
英文：
1.A clerk multiplied a number by ten when it should have been divided byten.The ans he got was 100.what should the ans have been?
a:1
2.If Rs20/- is available to pay for typing a research report typist A produces 42 pages and typist B produces 28 pages.How much should typist A receive?
a:Rs12/-
3.The average salary of 3 workers is 95 Rs. per week. If one earns
Rs.115 and second earns Rs.65 how much is the salary of the 3rd worker.
Ans.105.
4.A 16 stored building has 12000 sq.feet on each floor. Company A rents 7 floors and company B rents 4 floors. What is the number of sq.feet of unrented
floor space.
Ans.60000
5. During a given week A programer spends 1/4 of his time preparing flow chart, 3/8 of his time coding and the rest of the time in debugging the programs. If
he works 48 hours during the week , how many hours did he spend debugging the program.
Ans. 18.
6. A company installed 36 machines at the beginning of the year. In March they installed 9 additional machines and then disconnected 18 in August.How many
were still installed at the end of the year.
Ans. 27
7. A man owns 2/3 of the market research beauro business and sells 3/4 of his shares for Rs. 75000. What is the value of Business.
Ans.150000
8. If 12 file cabinets require 18 feet of wall space, how many feet of wall space will 30 cabinets require?
Ans.45
9.A computer printer produced 176,400 lines in a given day. If the printer was in operation for seven hours during the day, how many lines did it print per
minute?
Ans.420
10. From its total income, A sales company spent Rs.20,000 for advertising, half of the remainder on commissions and had Rs.6000 left.What was its total
income?
Ans.32000
11. On Monday a banker processed a batch of cheques, on Tuesday she processed three times as many, and on Wednesday she processed 4000 cheques. In the three
days, she processed 16000 cheques. How many did she process on Tuesday?
Ans.9000
12. The cost of four dozen proof machine ribbons and five dozen accouting machine ribbons was Rs.160/-. If one dozen accounting machine ribbons cost Rs.20/-,
what is the cost of a dozen proof machine ribbons?
Ans.Rs.15
13. If a clerk can process 80 cheques in half an hour, how many cheques can she process in a seven and one half hour day?
Ans.1200
14. In a library, there are two racks with 40 books per rack. On a given day, 30 books were issued. What fraction remained in the racks?
Ans.5/8
15. The average length of three tapes is 6800 feet. None of the tapes is less than 6400 feet. What is the greatest possible length of one of the other tapes?
Ans.7600
16. A company rented a machine for Rs.700/- a month. Five years later the treasurer calculated that if the company had purchased the machine and paid
Rs.100/- monthly maintenance charge, the company would have saved Rs.2000/-. What was the purchase price of the machine?
Ans.Rs.34000
17. Two computers each produced 48000 public utility bills in a day. One computer printed bills at the rate of 9600 an hour and the other at the rate of 7800
an hour. When the first computer finished its run, how many bills did the other computer still have to print?
Ans.9000
18. If a salesman's average is a new order every other week, he will break the office record of the year. However, after 28 weeks, he is six orders behind
schedule. In what proportion of the remaining weeks does he have to obtain a new order to break the record?
Ans.3/4
19. On a given day, a bank had 16000 cheques returned by customers.Inspection of the first 800 cheques indicated that 100 of those 800 had errors and were
therefore the available immediately for data processing.On this basis, hwo many cheques would be available immediately for data processing on that day?
Ans.14000
20. A company figured it needed 37.8 sq.feet of carpot for its reception room. To allow for waste, it decided to order 20% more material than needed.
Fractional parts of sq.feet cannot be ordered. At Rs.9/- a sq.feet, how much would the carpet cost?
Ans.
a. Rs.324 b) Rs.405 c) Rs.410 d) Rs.414 e) Rs.685
21. A tape manufacturer reduces the price of his heavy duty tape from Rs.30/- to Rs.28/- a reel and the price of a regular tape from Rs.24/- to Rs.23/- a
reel. A computing centre normally spends Rs.1440/- a month for tapes and 3/4 of this is for heavy duty tapes. How much will they save a month under the new
prices?
Ans.Rs.87 132
22. In a team of 12 persons, 1/3 are women and 2/3 are men. To obtain a team with 20% women how many men should be hired?
Ans.8
23. The dimensions of a certain machine are 48″ X 30″ X 52″. If the size of the machine is increased proportionately until the sum of its dimensions
equals 156″, what will be the increase in the shortest side?
Ans. 6″
24. In a certain company, 20% of the men and 40% of the women attended the annual company picnic. If 35% of all the employees are man, what percent of all
the employees went to the picnic?
Ans.33% 21%
25. It cost a college Rs.0.70 a copy to produce a Programme for the homecoming football game. If Rs.15,000/- was received for advertisements in the
programme, how many copies at Rs.0.50 a copy must be sold to make a profit of Rs.8000/- ?
Ans. 35000
tips：
直接在试卷上打草稿，不要在一道题目上纠缠太久，算了没答案就猜一个，有很多是不用算可以直接看答案猜的。大家考了这么多年试，选择题的什么排除法，xx法，都了然于胸
了。
3. IBM 2009暑期实习笔试经验帖汇总
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