IBM筆試題整理，包括題型和真題
阿新 • • 發佈：2019-02-07
IBM 筆試主要考察學生的邏輯思維水平和推理能力，筆試為全英文，對英語的閱讀能力要求
比較高。
所以在準備筆試之前，你要熟悉下面的詞彙：
reversed 翻轉的，顛倒的，在第一部分出現不止兩次
odd/even 奇數/偶數
row/column 行／列的英文給出來了，不用記了。
diagonal 對角線，出現好幾次，高頻詞彙
clockwise 順時針方向
counterclockwise 逆時針方向
exchange 交換，交易，兌換
proportion 比例
twice as much as 一個是另一個兩倍
liter 公升，這個沒人不知道把，這個詞出現次數很多，不認識也沒
關係
mixed/misture 混合／混合物，此類題目全部用一元方程就可以了
cube 立方
perimeter 周長
radius 半徑
diameter 直徑
volume 體積
perimeter 周長
remainder 餘數
periphery 外圍
fraction 分數
rectangle 長方形, 矩形
square 正方形
subtract 減法
imension 維，尺寸，度
根據往年的IBM 實習筆試題目總結，筆試題型主要包括矩陣題，序列題，數學推理題（應
用題）。
矩陣題：
下面資料是根據歷史資料整理，不代表今年的情況。
共15 道題，答題時間：13 分鐘。答錯不扣分。
1.一共有三個5*5 的矩陣，每個矩陣5 小題，在印象中，大概有這樣一些：把所有的W 替
換成2，所有的Y 替換成6，所有的X 替換成4，哪一行和哪一列的和等於18？
把第四列反轉，把第2 行和第二列替換，第三列第四個下面的數字是什麼？
把出現了數字2 次數最多的那一行的出現的唯一一個字母從矩陣中刪掉，它出現在矩陣其他
地方的次數減去3 出現的次數和4 出現的次數減一是多少？
把每一個出現在數字2 和3 左邊的字母全部與他們右邊的數字交換，出現在數字最多的那一
列的兩個字母是？
2.開始給出一個4×5 的矩陣，然後矩陣中的元素是類似於a,b,c,d 這樣的字母，題目有某一
行中出現次數最多的元素是什麼，這樣的比較簡單，還有從某個元素開始按逆時針或是順時
針方向旋轉得到的元素是什麼之類的，這樣的就比較麻煩。
題目介紹：
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?
解析：根據題意，從第5 列第4 個字母開始，在矩陣元素外沿順時針方向走，在第2 個E
字母和第2 個B 字母之間的第二個字母應該為C，如圖所示：
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：根據題意：（1）字母比數字多的行有第1 行、第3 行、第5 行；（2）數字只被1 個字
母隔開的行只有第1 行；（3）在第1 行中，從右往左數，在第2 個數字（即2）之前的字母
應該為C。
這道題的關鍵是找出題幹中要求的那一行，其中最後一個條件：這一行的數字之和要小於第
二列的數字之和（即1+1+5=7）可作為排除第5 行的依據。
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：如果將第4 行的字母倒轉，則第4 行變為：C A D E B，則在第5 行字母E 的上面的字
母就是變化後的低行，從右往左數的第2 個字母E。
tips：
搞清楚題目考察的位置，row,column,diagonal,reverse 這些詞要搞懂，然後用什
麼替代什麼也搞搞清楚，可以用筆簡單標一下，鉛筆和黑色水筆區分開兩次標記，然後再
用其他字跡的筆標另外一次，關鍵是讓自己看明白。最高境界大概是不標直接看！
這分打錯不扣分，即使時間不夠答題卡上一定要塗滿
主要是時間不太夠，這個部分拼得就是速度
序列題
4 分鐘20 道題，答錯倒扣1/4 分
基本上都是兩個一組，三個一組，全是一個規律：連續幾個數字，跳一個，再連續幾個數字。
題目介紹：
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：這部分時間是最緊張的，看了題目直接在答題卡上劃個線標出來，然後hr 收試題
的時候再慢慢去塗到你覺得最漂亮為止，千萬別在試題捲上標記答案而沒有在答題卡上
標，這樣既浪費時間而且可能等下試卷被收了還沒把答案塗到答題卡上。
數學推理題
共12 道題，答題時間：15 分鐘。答錯倒扣1/4 分
繁瑣的數學，像初中的分數應用題，計算量比較大，全是小數點和分數。
中文：
1.有3 臺影印機（copier），平均每臺每週工作42 小時，每臺每週最少工作35 小時，問一臺
影印機每週最多會工作多少小時？
42*3 ‐ 35*2 ＝56
2.在一個長11 meters，寬6 meters 的房間裡，鋪上10 centimeters 厚的水泥，問需要多少水
泥？
11*6*0.1＝6.6 cubic meters
3.某公司有兩座辦公樓，一天，第一座樓20％的影印機和第二座樓40％的影印機需要進行
維護，如果第一座樓擁有公司60％的影印機，問這天在維護的影印機是多少？
20% * 60% + 40% * (1 ‐ 60%) = 28%
4.要在一個接待室(reception room)裡鋪瓷磚，接待室的長18 meters，寬12 meters，同時要
修一條從大廳(hall)到樓梯(stair way)的通道（不鋪瓷磚）佔地50 square meters，允許鋪設時
有35%的浪費(wastage)，1 平方米瓷磚的價格是10 美元，問大約(approximately)要花多少錢？
(18 * 12 ‐ 50) * 135% * 10 = 2,200
5.某公司要做一個車輛更新，有2 種車型，一種是X(忘了，用X 代替),一種是van，新X 每
liter 油走20 公里，新van 每liter 油走15 公里，舊X 每liter 油走15 公里，舊van 每liter 油
走12 公里。現在要開15000 公里，其中有60％由van 來承擔，問更新後將節省多少油？
(15000 * 60% / 12 + 15000 * 40% / 15) ‐ (15000 * 60% / 15 + 15000 * 40% / 20) = 250
6.有2 個行政打字員(administrative typist)，A 的速度是B 的1 1/4 times，現在要打72 頁檔案，
問快的那個人打了多少頁？
72* 5/9 = 40
7.有一個呼叫中心，星期二的calls 比星期一的1/2 還多1/3，星期一和星期二的calls 的和是
120，問星期二的calls 是多少？
48
8.有一個軟體公司，1/2 的人是系統分析員，2/5 的人是軟體工程師，有1/4 的人兩者都是，
問有多少人兩者都不是？
1 ‐ 1/2 ‐ 2/5 + 1/4＝ 0.35
9.有一個crate 要做等比例(proportionally)的縮放，為了能夠便於運輸(shipment)，crate 的尺
度(dimension)是72,96,48，如果縮放到三個尺度的和是200，問最長的那個尺度要縮多少？
96 * (1 ‐ 200 / 216) = 64 / 9 = 7.1
10. 有一個矩形，長是寬的1 1/3 times，如果把每邊增加1，面積將增加85，問長是多少？
48
11.有一個printer，一小時能打12,000 頁，早上8:30 開始列印，中途被打斷2 次，每次5 分
鍾，13:15 打完，問總共打了多少頁？
55,000
英文：
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?
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：
直接在試卷上打草稿，不要在一道題目上糾纏太久，算了沒答案就猜一個，有很多是不用算
可以直接看答案猜的。大家考了這麼多年試，選擇題的什麼排除法，xx 法，都瞭然於胸了。