IBM+ipat资料

IBM：1矩阵题：英文：时间：2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。1. 30,28,25,20,34,28,?a:21（以20为中心前后和相等）2. 4,8,16,32,64,128,?a:256（整组相关【约分】：以4为基底）3. 8,16,24,32,40,48,?a:56（整组相关：以8为基底）4. 13,11,14,12,15,13,?a:16（两个一组）5. 6,18,36,108,216,648,?a:1296（整组相关：乘以2和3轮流）7. 2,6,18,54,162,486,?a:1458（整组相关：以2为基底）8. 4,20,35,49,62,74,?a:85（整组相关：差有规律）9. 10,18,15,23,20,28,? a:25（两个一组）10. 4,10,8,14,12,18,?a:16（两个一组）11.10,15,12,17,14,10,?a:16（两个一组）总体升降分组还是整体整体：约分-乘以；加减；3数学推理：英文：逻辑含义：时间：熟悉程度：经验1：IPAT 的全称是 IBM Personal Aptitude Test，即 IBM 个人能力测试。这是 IBM 招募新员工的笔试，考查英文阅读速度和基本运算反应能力。 A) 题目分布： Part 25 min 30 Ques Part 10 min 40 Ques Part 30 min 25 Ques 每次发试卷后，有 5 分钟的时间看答题样板，三个部分总共 15 分钟。 所以考试的总时间是 80 分钟。B) 题目类型： Part矩阵排列（就是把行和列变来边去，让你说出字母）Part数列猜测（就是连续出现一些字母，让你猜下一个） Part数学计算（主要是一些分数的运算，小学理解能力） C) 题目难度： 其实说白了一点都不难，绝对是小学三年级水平。但是很多人都没能按时做完全部题目，甚至忙中出错，主要的原因是看英文题目，思考太久。 D) 考试建议： 个人建议诸位准备参加 IPAT 考试的兄弟姐妹，连续两周进行填鸭式的 阅读训练，不求精确理解，只要速度够快，靠印象判断就行，肯定高分。 智力题：1一个粗细均匀的长直管子，两端开口，里面有4个白球和4个黑球，球的直径、两端开口的直径等于管子的内径，现在白球和黑球的排列是wwwwbbbb，要求不取出任何一个球，使得排列变为bbwwwwbb。2一只蜗牛从井底爬到井口，每天白天蜗牛要睡觉，晚上才出来活动，一个晚上蜗牛可以向上爬3尺，但是白天睡觉的时候会往下滑2尺，井深10尺，问蜗牛几天可以爬出来？3在一个平面上画1999条直线最多能将这一平面划分成多少个部分？4在太平洋的一个小岛上生活着土人，他们不愿意被外人打扰，一天，一个探险家到了岛上，被土人抓住，土人的祭司告诉他，你临死前还可以有一个机会留下一句话，如果这句话是真的，你将被烧死，是假的，你将被五马分尸，可怜的探险家如何才能活下来？5怎样种四棵树使得任意两棵树的距离相等。627个小运动员在参加完比赛后，口渴难耐，去小店买饮料，饮料店搞促销，凭三个空瓶可以再换一瓶，他们最少买多少瓶饮料才能保证一人一瓶？7有一座山，山上有座庙，只有一条路可以从山上的庙到山脚，每周一早上8点，有一个聪明的小和尚去山下化缘，周二早上8点从山脚回山上的庙里，小和尚的上下山的速度是任意的，在每个往返中，他总是能在周一和周二的同一钟点到达山路上的同一点。例如，有一次他发现星期一的8点30和星期二的8点30他都到了山路靠山脚的3/4的地方，问这是为什么？8有两根不均匀分布的香，每根香烧完的时间是一个小时，你能用什么方法来确定一段15分钟的时间？经验2：（印度）（未）1The values of shares (in Rs).of A, B and C from January to June are as follows.Month A B CJanuary 30 60 80February 35 65 85March 45 75 65April 40 75 82May 55 75 85June 50 75 80i) During this period which share has undergone maximum fluctuation?ii) In which month it is possible to buy B and C selling A?iii) In which month the share values are very low?iv) By purchasing one share of A and 4 each of B and C in the beginning of the period, when should these be sold to get maximum profit?2In a computer institute 9 languages can be taught. The module is of 6 months duration and of the six languages only one can be taught each month. In addition to that BASIC is always taught and should be in first month itself WORD PERFECT is to be taught in the preceding week of WORD STAR. FORTRAN can not be taught until COBAL is taught prior to that BINO, FIFO can never be taught in single modulelanguages are BASIC, WORD STAR, WORD PERFECT, FORTRAN, COBAL, BINO, FIFO, LOTUS, Ci) If word star is in 3rd month , what could be in 6th month.ii) If COBAL is in the 2nd month and BINO in 6th month. FORTRAN will be taught in which month.3. In a class, except 18 all are above 50 years.15 are below 50 years of age. How many people are there? (a) 30(b) 33(c) 36(d) none of these.4. A square plate of some size is cut at four corners. Equal squares of the same size are cut and is formed as open box. If this open box carries 128 ml of oil. What is the size of the side of the plate?(a) 17(b) 14(c) 13(d) None of these5. In a square, all the mid points are joined. The inner square is shaded. If the area of the square is A, what is the area of the shaded area?6. Two questions on basic angles i.e given a circle, a few chords or diameter is drawn etc.7. A person has Rs 100/- in his pocket, he can as 25 pencils or 15 books. He kept 15% of the money for travelling expenses and purchased 5 pencils. So how many books he can purchase with the remaining money.8. If a car starts from A towards B with some velocity. Due to some problem in the engine after travelling 30km, the car goes with 4/5 th of its actual velocity. The car reaches B 45 min later to the actual time. If the car engine fails ofter travelling 45km, the car reaches the destination B 36min late to the actual time, What is the initial velocity of car and what is the distance between A and B in km?经验3：（水木清华BBS）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? 问一台复印机每周最多会工作多少小时？ 42*3 - 35*2 562.在一个长11 meters，宽6 meters的房间里，铺上10 centimeters厚的水泥?要多少水泥？ 11*6*0.16.6 cubic meters3.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 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，同时要修一条从大厅(hall)到楼梯(stair way)的通道（不铺瓷砖）占地50meters，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 = 2,2005.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) = 2506.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 = 407.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？ 488.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 0.359.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 = 7.110. 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？ 4811.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？ 55,00012 就是很著名的杀狗问题(嘿嘿) 有50户人，每户人都有一条狗。但是有狗生病了。 这50户人可以通过自己的窗户观察别人家的狗，但是看不见自己的狗是不是有病(也就是只能通过观察别人的狗来判断自己的狗)。而且一旦发现自己的狗有病，枪杀之。 第一天没有枪声。 第二天也没有枪声。 第三天劈劈啪啪一阵枪声。 问有多少条狗死于这次大屠杀(也就是有多少病狗了)？13 有四个人过桥。一个要1分钟，一个要2分钟，一个要5分钟，还有一个要10分钟。 桥一次只能过两个人。因为天黑了，过桥必须要手电筒，但是只有一杆。那么如何让这4个人在17分钟内过河？14. 已知两个数字为130之间的数字，甲知道两数之和，乙知道两数之积，甲问乙：“你知道是哪两个数吗？”乙说：“不知道”。乙问甲：“你知道是哪两个数吗？”甲说：“也不知道”。于是，乙说：“那我知道了”，随后甲也说：“那我也知道了”，这两个数是什么？有人算出是1和4，或者4和7网上找到一个答案大家看一下吧：答案:允许两数重复的情况下答案为x=1, y=4; 甲知道和A=x+y=5, 乙知道积B=x*y=4不允许两数重复的情况下有两种答案答案1: 为x=1, y=6; 甲知道和A=x+y=7, 乙知道积B=x*y=6答案2: 为x=1, y=8; 甲知道和A=x+y=9, 乙知道积B=x*y=8解：设这两个数为x,y.甲知道两数之和 A=x+y;乙知道两数之积 B=x*y;该题分两种情况允许重复,有(1 = x = y = 30);不允许重复,有(1 = x y = 30);当不允许重复, 即(1 = x y = 30);1)由题设条件：乙不知道答案 B=x*y 解不唯一= B=x*y 为非质数又 x y B k*k (其中kN)结论(推论1)：B=x*y 非质数且 B k*k (其中kN)即：B (6,8,10,12,14,15,18,20.)证明过程略2)由题设条件：甲不知道答案 A=x+y 解不唯一= A = 5;分两种情况A=5,A=6时x,y有双解A=7 时x,y有三重及三重以上解假设 A=x+y=5则有双解x1=1,y1=4;x2=2,y2=3代入公式B=x*y:B1=x1*y1=1*4=4; (不满足推论1，舍去)B2=x2*y2=2*3=6;得到唯一解x=2,y=3即甲知道答案与题设条件：“甲不知道答案”相矛盾故假设不成立， A=x+y5假设 A=x+y=6则有双解x1=1,y1=5;x2=2,y2=4代入公式B=x*y:B1=x1*y1=1*5=5; (不满足推论1，舍去)B2=x2*y2=2*4=8;得到唯一解x=2,y=4即甲知道答案与题设条件：“甲不知道答案”相矛盾故假设不成立， A=x+y6当A=7时 x,y的解至少存在两种满足推论1的解B1=x1*y1=2*(A-2)B2=x2*y2=3*(A-3) 符合条件结论(推论2)：A = 73)由题设条件：乙说“那我知道了”=乙通过已知条件B=x*y及推论(1)(2)可以得出唯一解即：A=x+y,A = 7B=x*y,B (6,8,10,12,14,15,16,18,20.)1 = x y = 30x,y存在唯一解当 B=6 时：有两组解x1=1, y1=6x2=2, y2=3 ( x2+y2=2+3=5 7不合题意，舍去)得到唯一解 x=1, y=6当 B=8 时：有两组解x1=1, y1=8x2=2, y2=4 ( x2+y2=2+4=6 8 时：容易证明均为多重解结论：当B=6时有唯一解 x=1, y=6当B=8时有唯一解 x=1, y=84)由题设条件：甲说“那我也知道了”=甲通过已知条件A=x+y及推论(3)可以得出唯一解综上所述，原题所求有两组解：x1=1, y1=6x2=1, y2=8当x=y时，有(1 = x = y = 30);同理可得唯一解 x=1, y=4经验4：（未）1. In 1978, a kg of paper was sold at Rs25/-. If the paper rate increases at 1.5% more than the inflation rate which is 6.5% a year, then what wil be the cost of a kg of paper after 2 years?(a) 29.12(b) 29.72? 30.12(d) 32.65(e) none of these2. In A,B,C are having some marbles with each of them.A has given B and C the same number of marbles each of them already have.Then, B gave C and A the same number of marbles they already have.Then C gave A and B the same number of marbles they already have.At the end A,B,and C have equal number of marbles.(i) If x,y,z are the marbles initially with A,B,C respectively.Then the number of marbles B have at the end(a) 2(x-y-z)(b) 4(x-y-z)? 2(3y-x-z)(d) x + y-zAns. ?(ii) If the total number of marbles are 72, then the number of marbles withA at thestarting(a) 20(b) 30? 32(d) 39Ans. (d)3. If a car starts from A towards B with some velocity.Due to some problem in the engine after travelling 30km, the car goes with 4/5 th of its actual velocity The car reaches B 45 min later to the actual time.If the car engine fails ofter travelling 45km, the car reaches the destination B 36min late to the actual time What is the initial velocity of car and what is the distance between A andB in km?Ans. 20 & 130. 25 & 1054. A person has Rs 100/- in his pocket, he can as 25 pencils or 15 books.He kept 15% of the money for travelling expenses and purchased 5 pencils.So how many books he can purchase with the remaining money.5. Ten questions on analogies.eg: chief : tribe : governer : stateepaulette : shoulder : tiara : headguttural : throat : gastric : stomachinept : clever : languid : activeknife : butcher :hammer : carpenter :7. In a computer institute 9 languages can be taught.The module is of 6 months duration and of the six languages only one can be taught each month .In addition to that BASIC is always taught and should be in first month itselfWORD PERFECT is to be taught in the preceeding week of WORD STAR.FORTRAN can not be taught until COBAL is taught prior to thatBINO, FIFO can never be taught in single modulelanguages are BASIC, WORD STAR, WORD PERFECT, FORTRAN, COBAL, BINO, FIFO, LOTUS, Ci) If word star is in 3rd month , what could be in 6th month.ii) If COBAL is in the 2nd month and BINO in 6th month. FORTRAN will betaught inwhich month.8. In a class, except 18 all are above 50 years.15 are below 50 years of age. How many people are there(a) 30(b) 33? 36(d) none of these.Ans. (d)9. A square plate of some size is cut at four corners. Equal squares of thesame size are cut and is formed as open box.If this open box carries 128 ml of oil. What is the size of the side of the plate?(a) 17(b) 14? 13(d) None of these10. In a square, all the mid points are joined. The inner square is shaded.If the area of the square is A, what is the area of the shaded area?11. Two questions on basic angles i.e given a circle, a few chords or diameter is drawn etc.12. If the follwoing statements are given(a,b)= (a+b)/2/(a,b)= a/b*(a,b)= abIf a=1, b=2 then findi) /(a,(a,b),*(a,b)ii) */(a,(*(a,b)13. If the follwoing statements are given(x#y) = x + y- xy(x*y) = (x + y)/2i) Find the values of x, y will satisfy this equation (x#y)#(x*y) (x#y)ii) Find the values of x, y will satisfy this equation (a*b)#(b*c)(a#b)*(b*c)-Quantitative Paper : IBM Global Servicesl1.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:12.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 earnsRs.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.600005. During a given week A programer spends 1/4 of his time preparing flowchart, 3/8 of his time coding and the rest of the time in debugging theprograms. If he works 48 hours during the week , how many hours did hespend debugging the program.Ans. 18.6. A company installed 36 machines at the beginning of the year. In Marchthey installed 9 additional machines and then disconnected 18 in August.How many were still installed at the end of the year.Ans. 277. A man owns 2/3 of the market research beauro business and sells 3/4 ofhis shares for Rs. 75000. What is the value of Business.Ans.1500008. If 12 file cabinets require 18 feet of wall space, how many feet of wall space will 30 cabinets require?Ans.459.A computer printer produced 176,400 lines in a given day. If theprinter was in operation for seven hours during the day, how many lines did it print per minute?Ans.42010. 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.3200011. On Monday a banker processed a batch of cheques, on Tuesday sheprocessed three times as many, and on Wednesday she processed 4000cheques. In the three days, she processed 16000 cheques. How many didshe process on Tuesday?Ans.900012. The cost of four dozen proof machine ribbons and five dozen accoutingmachine ribbons was Rs.160/-. If one dozen accounting machine ribbonscost Rs.20/-, what is the cost of a dozen proof machine ribbons?Ans.Rs.1513. If a clerk can process 80 cheques in half an hour, how many chequescan she process in a seven and one half hour day?Ans.120014. In a library, there are two racks with 40 books per rack. On a givenday, 30 books were issued. What fraction remained in the racks?Ans.5/815. The average length of three tapes is 6800 feet. None of the tapes isless than 6400 feet. What is the greatest possible length of one of theother tapes?Ans.760016. A company rented a machine for Rs.700/- a month. Five years laterthe treasurer calculated that if the company had purchased the machineand paid Rs.100/- monthly maintenance charge, the company would havesaved Rs.2000/-. What was the purchase price of the machine?Ans.Rs.3400017. Two computers each produced 48000 public utility bills in a day. Onecomputer printed bills at the rate of 9600 an hour and the other at therate of 7800 an hour. When the first computer finished its run, how manybills did the other computer still have to print?Ans.900018. If a salesmans average is a new order every other week, he willbreak the office record of the year. However, after 28 weeks, he is sixorders behind schedule. In what proportion of the remaining weeks doeshe have to obtain a new order to break the record?Ans.3/419. On a given day, a bank had 16000 cheques returned by customers.Inspection of the first 800 cheques indicated that 100 of those 800 haderrors and were therefore the available immediately for data processing.On this basis, hwo many cheques would be available immediately for dataprocessing on that day?Ans.1400020. A company figured it needed 37.8 sq.feet of carpot for its receptionroom. To allow for waste, it decided to order 20% more material thanneeded. Fractional parts of sq.feet cannot be ordered. At Rs.9/- asq.feet, how much would the carpet cost?Ans.a. Rs.324 b) Rs.405 c) Rs.410 d) Rs.414 e) Rs.68521. A tape manufacturer reduces the price of his heavy duty tape fromRs.30/- to Rs.28/- a reel and the price of a regular tape from Rs.24/- toRs.23/- a reel. A computing centre normally spends Rs.1440/- a month fortapes and 3/4 of this is for heavy duty tapes. How much will they save amonth under the new prices?Ans.Rs.87 13222. In a team of 12 persons, 1/3 are women and 2/3 are men. To obtain ateam with 20% women how many men should be hired?Ans.823. The dimensions of a certain machine are 48 X 30 X 52. If the sizeof the machine is increased proportionately until the sum of itsdimensions equals 156, what will be the increase in the shortest side?Ans. 624. In a certain company, 20% of the men and 40% of the women attendedthe annual company picnic. If 35% of all the employees are man, whatpercent 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 thehomecoming football game. If Rs.15,000/- was received for advertisementsin the programme, how many copies at Rs.0.50 a copy must be sold to makea profit of Rs.8000/- ?Ans. 350001. One person traveled 4 laps with the speed of 10,20,40 ( or 30) and 60 kmphand what is the average speed.answer:20why?4/(1/10+1/20+1/30+1/60)18. If a salesmans average is a new order every other week, he willbreak the office record of the year. However, after 28 weeks, he is sixorders behind schedule. In what proportion of the remaining weeks doeshe have to obtain a new order to break the record?经验5：（未）1. In 1978, a kg of paper was sold at Rs25/-.If the paper rate increases at 1.5% more than the inflation rate which is 6.5% a year, then what wil be the cost of a kg of paper after 2 years?(a) 29.12(b) 29.72(c)30.12(d) 32.65(e) none of these2. In A,B,C are having some marbles with each of them.A has given B and C the same number of marbles each of them already have.Then, B gave C and A the same number of marbles they already have.Then C gave A and B the same number of marbles they already have.At the end A,B,and C have equal number of marbles.(i) If x,y,z are the marbles initially with A,B,C respectively.Then the number of marbles B have at the end(a) 2(x-y-z)(b) 4(x-y-z)? 2(3y-x-z)(d) x + y-zAns. ?(ii) If the total number of marbles are 72, then the number of marbles with A at thestarting(a) 20(b) 30? 32(d) 39Ans. (d)3. If a car starts from A towards B with some velocity.Due to some problem in the engine after travelling 30km, the car goes with 4/5 th of itsactual velocity. The car reaches B 45 min later to the actual time. If the car engine fails o