IBM IPAT笔试题大搜刮

Part I 矩阵题（就是把行和列变来边去，让你说出字母）

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 outside of the pattern in a clockwise direction. What is the second letter between the second E and the second B you come to?

 

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?

 

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?

 

4：

1 a b c d e

2 b c a e d
3 c b e a d
4 c e d b a
5 e d a c b

回答以下问题。

　　 (1) 将第一行和第四行交换后，第一行第四个字母下面的左边的下面的右边的字母是  。

① a  ② b  ③ c  ④ d  ⑤ e
　 (2) 将所有出现在 d 左边的字母从矩阵中删掉。将所有出现在 a 左边的 c 字母从矩阵中删掉。如果矩阵中剩下的字母的种类的数目大于 3 ，答案为原矩阵中左上方至右下方对角线上出现两次的字母。如果矩阵中剩下的字母的种类的数目小于或者等于 3 ，答案为原矩阵中右上至左下对角线上出现 4 次的字母是  。
　　① a  ② b  ③ c  ④ d  ⑤ e

　 (3) 将所有的 a 用 4 替换，所有的 d 用 2 替换，哪一列的总和  最大
　　①第 1 列  ②第 2 列  ③第 3 列  ④第 4 列  ⑤第五列

　 (4) 从左上角的字母开始，顺时针沿矩阵外围，第 4 次出现的字母是  。
　　① a  ② b  ③ c  ④ d  ⑤ e

　 (5) 沿第 5 列从上到下，接着沿第 3 列从下到上，接着沿第 4 列从上到下，接着沿第 1 列从下到上，接着沿第 2 列从上到下，第 1 个出现 5 次的字母是  。
　　① a  ② b  ③ c  ④ d  ⑤ e

　 (6) 从左上角的字母开始，顺时针沿矩阵外围，第 4 次出现的字母是以下哪个  。
　　① a  ② b  ③ c  ④ d  ⑤ e

 

Part II 数列题（就是连续出现一些字母/数字，让你猜下一个）

16.  4, 8, 16, 32, 64, 128,?
17.  8, 16, 24, 32, 40, 48,?
18.  13, 11, 14, 12, 15, 13,?
19.  6, 18, 36, 108, 216, 648,?
20.  4, 4, 8, 8, 16 , 16,?
21.  2, 6, 18, 54, 162, 486,?
22.  4, 20, 35, 49, 62, 74,?
23.  10, 18, 15, 23, 20, 28,?
24.  4, 10, 8, 14, 12, 18,?
25  10, 15, 12, 17, 14, 19,?

Part III 应用题（主要是一些分数的运算，小学理解能力） 

1.      A clerk multiplied a number by ten when it should have been divided by ten. The ans he got was 100.what should the ans have been?

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? 

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.

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.  

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.

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. 

7.      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. 

8.      If 12 file cabinets require 18 feet of wall space, how many feet of  wall space will 30 cabinets require?

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?

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?

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?

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?

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?

14.   In a library, there are two racks with 40 books per rack. On a given  dya, 30 books were issued. What fraction remained in the racks?

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?

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?

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?

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?

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?

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 amonth under the new prices?

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? 

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?

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?

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/- ?

26.  One person traveled 4 laps with the speed of 10,20,40 ( or 30) and 60 kmph

and what is the average speed

27.  One person is wearing Black and White shoes as his pair.If he is having 20 white and 20 Black shoes. What will be the less number of time he have try to take his correct pair of shoes.

28.  Like from heght of 8 mts on ball fell down and each time it bounces half the distance back.so what will be the distance traveled.

29.  In a grass field.if there are 40 cows,they could eat for 40 days.If there are 30 cows,

they could eat for 60 days.Than if 20 cows,How much day they could eat?

答案

PartI答案：

1. C 2. C 3. E 4略

PartII答案：

21，256，56，16，1296，32，1458，85，25，16，16

PartIII答案：

1=1 

2= Rs12/-  

3= Ans.105. 

4= Ans.60000 

5= Ans. 18.

6= Ans. 27 

7= Ans.150000 

8= Ans.45 

9= Ans.420 

10= Ans.32000

11= Ans.9000 

12= Ans.Rs.15  

13= Ans.1200  

14= Ans.5/8 

15= Ans.7600  

16= Ans.Rs.34000 

17= Ans.9000  

18= Ans.3/4 

19= Ans.14000 

20=待定

21= Ans.Rs.87 

22= Ans.8  

23= Ans. 6" 

24= Ans.33% 

25= Ans. 35000

26= 20 because 4/(1/10+1/20+1/30+1/60)

27= Answer:1

28= Answer:24mts  8+2*(4+2+1+0.5+....)=24

29= Answer:120days

40*40a=c+40b 30*60a=c+60b 20*Xa=c+Xb X=1200a/10a=120