【考研类试卷】工商管理硕士入学考试-数学机考及答案解析.doc

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1、工商管理硕士入学考试-数学机考及答案解析(总分：750.00，做题时间：90 分钟)一、问题求解题(总题数：100，分数：500.00)1.If the value of a piece of property decreases by 10 percent while the tax rate on the property increases by 10 percent, what is the effect on the taxes?（分数：5.00）A.Taxes increase by 10 percent.B.Taxes increase by 1 percent.C.There

2、is no change in taxes.D.Taxes decrease by 1 percent.E.(E) Taxes decrease by 10 percent.2.District Number Of Votes Percent of Votes for Candidate P Percent of Votes for Candidate 1 800 60 402 1,000 50 503 1,500 50 504 1,800 40 60S 1,200 30 70The table above shows the results of a recent school board

3、election in which the candidate with the higher total number of votes from the five districts was declared the winner. Which district had the greatest number of votes for the winner?（分数：5.00）A.1B.2C.3D.4E.(E) 53.One number will be chosen randomly from each of the sets above. If x represents the chos

4、en member of Set X and y represents the chosen member of Set Y, what is the probability that will be an integer?（分数：5.00）A.B.C.D.E.4.Jolene began building a picket fence by planting stakes in a row; the stakes were evenly spaced. After planting the first 10 stakes, Jolene measured the length of the

5、row and found that the row was 27 feet long. She continued the row by planting another 10 stakes, then measured the length of the entire row. How many feet long was the row of stakes Jolene had planted?（分数：5.00）A.37B.54C.57D.60E.(E) 815.The enrollments at College X and College Y both grew by 8 perce

6、nt from 1980 to 1985. If the enrollment at College X grew by 800 and the enrollment at College Y grew by 840, the enrollment at College Y was how much greater than the enrollment at College X in 1985?（分数：5.00）A.400B.460C.500D.540E.(E) 5806.If x is an even integer and y is an odd integer, then which

7、of the following is an even integer?（分数：5.00）A.x2+yB.x2-yC.(x2)(y)D.x+yE.(E) x-y7.A child withdraws from his piggy bank 10% of the original sum in the bank. If he must add 90 to bring the amount in the bank back up to the original sum, what was the original sum in the bank?（分数：5.00）A.$1.00B.$1.90C.$

8、8.10D.$9.00(g) $9.908.The width of a rectangle is 6 cm less than the length. If the perimeter of the rectangle is 48 cm, what is the length of the rectangle in centimeters?（分数：5.00）A.48B.15C.12D.9E.(E) 69.A four-character password consists of one letter of the alphabet and three different digits bet

9、ween 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?（分数：5.00）A.5,040B.18,720C.26,000D.37,440E.(E) 52,00010.A clothing supplier stores 800 coats in a warehouse, of which 15 percent are full-length coats. If 500 of

10、 the shorter length coats are removed from the warehouse, what percent of the remaining coats are full length?（分数：5.00）A.5.62%B.9.37%C.35%D.40%E.(E) 48%11.To fill a number of vacancies, an employer must hire 3 programmers from among 6 applicants, and 2 managers from among 4 applicants.What is the to

11、tal number of ways in which she can make her selection?（分数：5.00）A.1,490B.132C.120D.6OE.(E) 2312.A salesman makes a profit of 25% on all sales. How many fax machines will he have to sell for $375 each to make a total commission of at least $ 500?（分数：5.00）A.4B.5C.6D.15E.(E) 2013.A grocer is storing sm

12、all cereal boxes in large cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each small cereal box is 7 inches by 6 inches by 5 inches, then what is the maximum number of small cereal boxes that can be placed in each large carton?（分数：5.00）A.25B.210C.252D.300E.(E) 42014.A

13、 truck departed from Newton at 11:53 a.m. and arrived in Far City, 240 miles away, at 4:41 p.m. on the same day. What was the approximate average speed of the truck on this trip?（分数：5.00）A.B.C.D.E.15.The arithmetic mean of a data set is 46 and the standard deviation of the set is 4. Which value is e

14、xactly 1.5 standard deviations from the arithmetic mean of the set?（分数：5.00）A.42B.44.5C.47.5D.50E.(E) 5216.If cylinder P has a height twice that of cylinder Q and a radius half that of cylinder Q, what is the ratio between the volume of cylinder P and the volume of cylinder Q?（分数：5.00）A.1:8B.1:4C.1:

15、2D.1:1E.(E) 2:117.On Monday, a certain animal shelter housed 55 eats and dogs. By Friday, exactly of the eats and （分数：5.00）A.B.C.D.E.18.A person is standing on a staircase. He walks clown 4 steps, up 3 steps, down 6 steps, up 2 steps, up 9 steps, and down 2 steps. Where is he standing in relation to

16、 the step on which he started?（分数：5.00）A.2 steps aboveB.1 step aboveC.the same placeD.1 step belowE.(E) 2 steps below19.If r and s are integers and rs+r is odd, which of the following must be even?（分数：5.00）A.rB.sC.r+sD.rs-rE.(E) r2+s20.A department store receives a shipment of 1,000 shirts, for whic

17、h it pays $9,000. The store sells the shirts at a price 80 percent above cost for one month, after which it reduces the price of the shirts to 20 percent above cost. The store sells 75 percent of the shirts during the first month and 50 percent of the remaining shirts afterward. How much gross incom

18、e did sales of the shirts generate?（分数：5.00）A.$10,o00B.$10,800C.$12,150D.$13,500E.(E) $16,20021.If a = 1 and （分数：5.00）A.B.C.D.E.22.A group of 20 friends formed an investment club, with each member contributing an equal amount to the general fund. The club then invested the entire fund, which amounte

19、d to d dollars, in Stock X. The value of the stock subsequently increased 40 percent, at which point the stock was sold and the proceeds divided evenly among the members. In terms of d, how much money did each member of the club receive from the sales (Assume that transaction fees and other associat

20、ed costs were negligible).（分数：5.00）A.B.C.D.E.23.A group of store managers must assemble 280 displays for an upcoming sale. If they assemble 25 percent of the displays during the first hour and 40 percent of the remaining displays during the second hour, how many of the displays will not have been as

21、sembled by the end of the second hour?（分数：5.00）A.70B.98C.126D.168E.(E) 18224. （分数：5.00）A.B.C.D.E.25.If n is a positive integer and n2 is divisible by 72, then the largest positive integer that must divide n is（分数：5.00）A.6B.12C.24D.36E.(E) 4826.1 2 3 4 5 6 7-2 -4 -6 -8 -10 -12 -143 6 9 12 15 18 21-4

22、-8 -12 -16 -20 -24 -285 10 15 20 25 30 35-6 -12 -18 -24 -30 -36 -427 14 21 28 35 42 49What is the sum of the integer in the table above?（分数：5.00）A.28B.112C.336D.448E.(E) 78427.A laborer is paid $8 per hour for an 8-hour day and （分数：5.00）A.B.C.D.E.28.A first-grade teacher use ten flash cards, numbere

23、d 1 through 10, to teach her students to order numbers correctly. She has students choose four flash cards randomly, then arrange the cards in ascending order. One day, she removes the cards numbered “2“ and “4“ from the deck of flash cards. On that day, how many different correct arrangements of fo

24、ur randomly selected cards are possible?（分数：5.00）A.70B.210C.336D.840E.(E) 1,68029.What is the maximum number of cubes with sides of a length （分数：5.00）A.B.C.D.E.30.Two cars left the same town traveling in the same direction. Car A traveled 40 miles per hour and left at 3:20. Car B traveled 50 miles p

25、er hour and left at 4:40. At what time will car B catch up with car A?（分数：5.00）A.10:00B.9:00C.8:40D.7:20E.(E) 6:1031.The people eating in a certain cafeteria are either faculty members or students, and the number of faculty members is 15 percent of the total number of people in the cafeteria. After

26、some of the students leave, the total number of persons remaining in the cafeteria is 50 percent of the original total. The number of students who left is what fractional part of the original number of students?（分数：5.00）A.B.C.D.E.32.Jerome wrote each of the integers 1 through 20, inclusive, on a sep

27、arate index card. He placed the cards in a box, then drew cards one at a time randomly from the box, without returning the cards he had already drawn to the box. In order to ensure that the sum of all the cards he drew was even, how many cards did Jerome have to draw?（分数：5.00）A.19B.12C.11D.10E.(E) 3

28、33.In a certain company, the ratio of the number of women employees to the number of men employees is 3 to 2. If the total number of employees is 240, then how many of the employees are men?（分数：5.00）A.40B.48C.96D.144E.(E) 16034.A figure that can be folded over along a straight line so that the resul

29、t is two equal halves which are then lying on top of one another with no overlap is said to have a line of symmetry. Which of the following figures has only one line of symmetry?（分数：5.00）A.SquareB.CircleC.Equilateral triangleD.Isosceles triangleE.(E) Rectangle35.A painter has painted one-third of a

30、rectangular wall which is ten feet high. When she has painted another 75 square feet of wall, she will be three-quarters finished with the job. What is the length (the horizontal dimension) of the wall?（分数：5.00）A.18 feetB.12 feetC.10 feetD.9 feetE.(E) 6 feet36.In a certain group of people, of the pe

31、ople are men, and of the men have brown eyes. If of the people have brown eyes, then what fraction of the group are women who do not have brown eyes?（分数：5.00）A.B.C.D.E.37.3, k, 2, 8, m, 3The arithmetic mean of the list of numbers above is 4. If k and m are integers and km, what is the median of the

32、list?（分数：5.00）A.2B.2.5C.3D.3.5E.(E) 438.A prize of $240 is divided between two persons. If one person receives $180, then what is the difference between the amounts received by the persons?（分数：5.00）A.$30B.$60C.$120D.$210E.(E) $42039.Machines A and B always operate independently and at their respecti

33、ve constant rates. When working alone, machine A can fill a production lot in 5 hours, and machine B can fill the same lot in x hours. When the two machines operate simultaneously to fill the production lot, it takes them 2 hours to complete the job. What is the value of x?（分数：5.00）A.B.C.D.E.40.Ron

34、can type five forms of a test in 4 hours. Joan can type the same five forms in 6 hours. If they work together, how many hours would it take them to type ten forms of a test?（分数：5.00）A.B.C.D.E.41.A student conducts an experiment in biology lab and discovers that the ratio of the number Of insects in

35、a given population having characteristic X to the number of insects in the population not having characteristic X is 5:3, and that of the insects having characteristic X are male insects. What proportion of the total insect population are male insects having the characteristic X?（分数：5.00）A.B.C.D.E.4

36、2.Exactly three years before the year in which Anna was born, the year was 1980 x. In terms of x, on Annas twentieth birthday, the year will be（分数：5.00）A.1977+xB.1997+xC.2003-xD.2003+xE.(E) 2006+x43.If n is an integer between 0 and 100, then any of the following could be 3n+3 EXCEPT（分数：5.00）A.300B.2

37、97C.208D.63E.(E) 644.How many minutes will it take to completely fill a water tank with a capacity of 3,750 cubic feet if the water is being pumped into the tank at the rate of 800 cubic feet per minute and is being drained out of the tank at the rate of 300 cubic feet per minute?（分数：5.00）A.3 min. 3

38、6 see.B.6 minutesC.7 min. 30 sec.D.8 minutesE.(E) 1,875 minutes45.A salesperson works 50 weeks each year and makes an average (arithmetic mean) of 100 sales per week. If each sale is worth an average (arithmetic mean) of $1,000, then what is the total value of sales made by the salesperson in a year

39、?（分数：5.00）A.$50,000B.$100,000C.$500,000D.$1,000,000E.(E) $5,000,00046.During a sale at an office supply store, for every box of paper clips purchased for 15 cents, a second box can be purchased for 4 cents. How many boxes of paper clips did Paul buy if he spent 91 cents on boxes of paper clips?（分数：5

40、.00）A.6B.7C.8D.9E.(E) 1047.At a college football game, of the seats in the lower deck of the stadium were sold. If of all the seating in the stadium is located in the lower deck, and if （分数：5.00）A.B.C.D.E.48.Which of the following can be expressed as the sum of three consecutive integers?（分数：5.00）A.

41、17B.23C.25D.30E.(E) 4049.A square countertop has a square tile inlay in the center, leaving an untiled strip of uniform width around the tile. If the ratio of the tiled area to the untiled area is 25 to 39, which of the following could be the width, in inches, of tile strip?.1.3.4（分数：5.00）A. onlyB.

42、onlyC. and onlyD. and onlyE.(E) , , and 50.The figure above is a regular hexagon with center H, The shaded area is a parallelogram that shares three vertices with the hexagon; its fourth vertex is the center of the hexagon. If the length of one side of the hexagon is 8 centimeters, what is the area

43、of the unshaded region?（分数：5.00）A.B.C.D.E.51.If the width of a rectangle is increased by 25% while the length remains constant, the resulting area is what percent of the original area?（分数：5.00）A.25%B.75%C.125%D.225%E.(E) Cannot be determined from the information given.52.If a certain chemical costs

44、$50 for 30 gallons, then how many gallons of the chemical can be purchased for $625?（分数：5.00）A.12.5B.24C.325D.375E.(E) 42553.A student had an average of 86 for three tests. If the students highest test score was 2a, what was the average of the students two lowest scores?（分数：5.00）A.129-2aB.258-2aC.12

45、9-aD.258+2aE.(E) 258-a54.A business firm reduces the number of hours its employees work from 40 hours per week to 36 hours per week while continuing to pay the same amount of money. If an employee earned x dollars per hour before the reduction in hours, how much does he earn per hour under the new s

46、ystem?（分数：5.00）A.B.C.D.E.55.ADVANCED PURCHASE DISCOUNTS FOR AIRLINE TRAVEL Days Prior to Departure Percentage Discount06 days 0%713 days 10%1429 days 25%30 days or more 40%The table above shows the discount structure for advanced purchase of tickets at a particular airline. A passenger bought a tick

47、et at this airline for$1,050. The ticket agent informed her that, had she purchased the ticket one day later, she would have paid $210 more. How many days before her departure did she purchase her ticket?（分数：5.00）A.6 daysB.7daysC.13 daysD.14 daysE.(E) 29days56.Steve gets on the elevator at the 11th

48、floor of a building and rides up at a rate of 57 floors per minute. At the same time Joyce gets on an elevator on the 51st floor of the same building and rides down at a rate of 63 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?（分数：5.00）A.19B.28C.

49、30D.32E.(E) 4457.Tom reads at an average rate of 30 pages per hour, while Jan reads at an average rate of 40 pages per hour. If Tom starts reading a novel at 4: 30, and Jan begins reading an identical copy of the same book at 5: 20, at what time will they be reading the same page?（分数：5.00）A.9:30B.9:00C.8:40D.7:50E.(E) 7:0058.Cans of tennis balls were purchased for the tournament at a cost of $1. 90 per can. Only （分数：5.00）A.B.C.D.E.59.Paul is standing 180 yards due north of point P, Franny is standing 240 yards due west of point P. What is the shortest distance between Fra