【考研类试卷】工商管理硕士入学考试-数学机考-(二)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-(二)及答案解析(总分：250.00，做题时间：90 分钟)一、问题求解题(总题数：50，分数：250.00)1.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?(A) 40 (B) 48 (C) 96(D) 144 (E) 160（分数：5

2、.00）A.B.C.D.E.2.Which of the following can be expressed as the sum of three consecutive integers?(A) 17 (B) 23 (C) 25(D) 30 (E) 40（分数：5.00）A.B.C.D.E.3.If n is a positive integer and n2 is divisible by 72, then the largest positive integer that must divide n is(A) 6 (B) 12 (C) 24(D) 36 (E) 48（分数：5.00

3、）A.B.C.D.E.4.In a certain population, 40 percent of all people have biological characteristic X; the others do not. If 8,000 people have characteristic X, how many people do not have X?(A) 3200 (B) 4800 (C) 12,000(D) 16,000 (E) 20,000（分数：5.00）A.B.C.D.E.5. （分数：5.00）A.B.C.D.E.6.If cylinder P has a hei

4、ght 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?(A) 1:8 (B) 1:4 (C) 1:2(D) 1:1 (E) 2:1（分数：5.00）A.B.C.D.E.7.During a sale at an office supply store, for every box of paper clips purchased for 15 cents,

5、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?(A) 6 (B) 7 (C) 8(D) 9 (E) 10（分数：5.00）A.B.C.D.E.8.A prize of $240 is divided between two persons. If one person receives $180, then what is the difference between the am

6、ounts received by the persons?(A) $30 (B) $60 (C) $120(D) $210 (E) $420（分数：5.00）A.B.C.D.E.9.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 boa

7、rd 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?(A) 1 (B) 2 (C) 3(D) 4 (E) 5（分数：5.00）A.B.C.D.E.10.ADVANCED PURCHASE DISCOUNTS FOR AIRLINE TRAVEL Days Prior to Depa

8、rture 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 ticket at this airline for$1,050. The ticket agent informed her that, had she purchased the ticke

9、t one day later, she would have paid $210 more. How many days before her departure did she purchase her ticket?(A) 6 days(B) 7days(C) 13 days(D) 14 days(E) 29days（分数：5.00）A.B.C.D.E.11.$ 2000 is deposited into a savings account that earns interest at the rate of 10 percent per year, compounded semian

10、nually. How much money will there be in the account at the end of one year?(A) $2105 (B) $2200 (C) $2205(D) $2400 (E) $2600（分数：5.00）A.B.C.D.E.12. （分数：5.00）A.B.C.D.E.13.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

11、effect on the taxes?(A) Taxes increase by 10 percent.(B) Taxes increase by 1 percent.(C) There is no change in taxes.(D) Taxes decrease by 1 percent.(E) Taxes decrease by 10 percent.（分数：5.00）A.B.C.D.E.14.A clothing supplier stores 800 coats in a warehouse, of which 15 percent are full-length coats.

12、If 500 of the shorter length coats are removed from the warehouse, what percent of the remaining coats are full length?(A) 5.62% (B) 9.37% (C)35%(D)40% (E) 48%（分数：5.00）A.B.C.D.E.15.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

13、 2 steps. Where is he standing in relation to the step on which he started?(A) 2 steps above(B) 1 step above(C) the same place(D) 1 step below(E) 2 steps below（分数：5.00）A.B.C.D.E.16.It takes 10 people 16 hours to complete a certain job. How many hours would it take 8 people, working at the same rate,

14、 to complete of the job?（分数：5.00）A.B.C.D.E.17.If x, y, and z are positive integers such that x is a factor of y, and x is a multiple of z, which of the following is NOT necessarily an integer?（分数：5.00）A.B.C.D.E.18.At a college football game, of the seats in the lower deck of the stadium were sold. I

15、f of all the seating in the stadium is located in the lower deck, and if （分数：5.00）A.B.C.D.E.19.After reading of his biology homework on Monday night, Bernie read of his remaining homework on Tuesday night. What fraction of his original homework would Bernie have to read on Wednesday night to complet

16、e his biology assignment?（分数：5.00）A.B.C.D.E.20.Machines A and B always operate independently and at their respective 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 fil

17、l 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.21.If the spaces between the lettered points in the figure above are all equal, then （分数：5.00）A.B.C.D.E.22.A survey of 100 persons revealed that 72 of them had eaten at restaurant P and that 52

18、 of them had eaten at restaurant Q. Which of the following could not be the number of persons in the surveyed group who had eaten at both P and Q?(A) 20 (B) 24 (C) 30(D) 50 (E) 52（分数：5.00）A.B.C.D.E.23.Candy hearts were marked down from 30% to 50% on Valentines Day. The following day, candy hearts we

19、re marked down an additional 25%. What was the lowest cost of a candy heart that originally sold for $ 28?(A) $7 (B) $12.60 (C) $14(D) $15.40 (E) $21（分数：5.00）A.B.C.D.E.24.A square countertop has a square tile inlay in the center, leaving an untiled strip of uniform width around the tile. If the rati

20、o 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(A) only(B) only(C) and only(D) and only(E) , , and （分数：5.00）A.B.C.D.E.25.Tom reads at an average rate of 30 pages per hour, while Jan reads at an average rate of 40 pages p

21、er 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?(A) 9:30 (B) 9:00 (C) 8:40(D) 7:50 (E) 7:00（分数：5.00）A.B.C.D.E.26.A recipe for soda requires liters of water for every liter of syrup. I

22、f soda is made according to this recipe using rn liters of syrup, and sold for j dollars a litter, what will be the gross profit if syrup costs k dollars a liter and water costs nothing?(A) m(+k)(C) m(j-k)(D) (j-k)m(E) jm(1+)-km（分数：5.00）A.B.C.D.E.27.1 2 3 4 5 6 7-2 -4 -6 -8 -10 -12 -143 6 9 12 15 18

23、 21-4 -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?(A) 28 (B) 112 (C) 336(D) 448 (E) 784（分数：5.00）A.B.C.D.E.28.In a certain group of people, of the people are men, and of the men have brown eyes. If of the peop

24、le 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.29.3, 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 list?(A) 2 (B) 2.5 (C) 3(D) 3.5 (E) 4（分数：5.00）A.B.C.D.E.30.A

25、 figure that can be folded over along a straight line so that the result 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?(A) Square(B) Circle(C) Equilateral triangle(D) Iso

26、sceles triangle(E) Rectangle（分数：5.00）A.B.C.D.E.31.A computer is programmed to generate a list of multiples of prime numbers 2, 3, and 5, as shown below：Program 1-List multiples of 2Program 2-List multiples of 3Program 3-list multiples of 5How many integers between 1 and 100 will appear on all three

27、of the lists of the programs produced above?(A) None (B) 1(C) 3 (D) 5(E) An infinite number of integers（分数：5.00）A.B.C.D.E.32.One number will be chosen randomly from each of the sets above. If x represents the chosen member of Set X and y represents the chosen member of Set Y, what is the probability

28、 that will be an integer?（分数：5.00）A.B.C.D.E.33.The arithmetic mean of a data set is 46 and the standard deviation of the set is 4. Which value is exactly 1.5 standard deviations from the arithmetic mean of the set?(A) 42 (B) 44.5 (C) 47.5(D) 50 (E) 52（分数：5.00）A.B.C.D.E.34.The average (arithmetic mea

29、n) of five number is 26. After one of the numbers is removed, the average (arithmetic mean) of the remaining numbers is 25. What number has been removed?(A) 20 (B) 25 (C) 26(D) 30 (E) 32（分数：5.00）A.B.C.D.E.35.A truck departed from Newton at 11:53 a.m. and arrived in Far City, 240 miles away, at 4:41

30、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.36.In 1960, the number of students enrolled at a college was 500. In 1980, the number of students enrolled at the college was （分数：5.00）A.B.C.D.E.37.The diagonal of the floor of a rectangular clo

31、set is feet. The shorter side of the closet is feet. What is the area of the closet in square feet?（分数：5.00）A.B.C.D.E.38.How many two-digit numbers can be written using digits 0 through 6 if no digit can be repeated and 0 cannot be the first digit?(A) 49 (B) 42 (C) 36(D) 30 (E) 25（分数：5.00）A.B.C.D.E.

32、39.To meet a government requirement, a bottler must test 5 percent of its spring water and 10 percent of its sparkling water for purity. If a customer ordered 120 cases of spring water and 80 cases of sparkling water, what percent of all the cases must the bottler test before he can send it out?(A)

33、6.5% (B) 7.0% (C) 7.5%(D) 8.0% (E) 8.5%（分数：5.00）A.B.C.D.E.40.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 some of the students leave, the total number of persons

34、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.41.Exactly three years before the year in which Anna was born, the year was 1980 x. In terms of x, on Annas twentieth birthday

35、, the year will be(A) 1977+x (B) 1997+x (C) 2003-x(D) 2003+x (E) 2006+x（分数：5.00）A.B.C.D.E.42.If of the money in a certain trust fund was invested in stocks, in bonds, （分数：5.00）A.B.C.D.E.43.If the width of a rectangle is increased by 25% while the length remains constant, the resulting area is what p

36、ercent of the original area?(A) 25% (B) 75% (C) 125%(D) 225%(E) Cannot be determined from the information given.（分数：5.00）A.B.C.D.E.44.Steve gets on the elevator at the 11th 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 floo

37、r 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?(A) 19 (B) 28 (C) 30(D) 32 (E) 44（分数：5.00）A.B.C.D.E.45.A car dealer who gives a customer a 20 percent discount on the list price of a car still re

38、alizes a net profit of 25 percent of cost. If the dealers cost is $4800, what is the usual list price of the car?(A) $6000 (B) $6180 (C) $7200(D) $7500 (E) $8001（分数：5.00）A.B.C.D.E.46.What is the maximum number of cubes with sides of a length （分数：5.00）A.B.C.D.E.47.A grocer is storing small cereal box

39、es 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?(A) 25 (B) 210 (C) 252(D) 300 (E) 420（分数：5.00）A.B.C.D.E

40、.48.Which of the following fractions expressed in the form is most nearly approximated by the decimal PQ, where P is the tenths digit and Q is the hundredths digit?（分数：5.00）A.B.C.D.E.49.A department store receives a shipment of 1,000 shirts, for which it pays $9,000. The store sells the shirts at a

41、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 income did sales of the shirts generate?(A) $10,o00 (B)

42、 $10,800(C) $12,150 (D) $13,500(E) $16,200（分数：5.00）A.B.C.D.E.50.If a certain chemical costs $50 for 30 gallons, then how many gallons of the chemical can be purchased for $625?(A) 12.5 (B) 24 (C) 325(D) 375 (E) 425（分数：5.00）A.B.C.D.E.工商管理硕士入学考试-数学机考-(二)答案解析(总分：250.00，做题时间：90 分钟)一、问题求解题(总题数：50，分数：250.

43、00)1.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?(A) 40 (B) 48 (C) 96(D) 144 (E) 160（分数：5.00）A.B.C. D.E.解析：2.Which of the following can be expressed as the s

44、um of three consecutive integers?(A) 17 (B) 23 (C) 25(D) 30 (E) 40（分数：5.00）A.B.C.D. E.解析：3.If n is a positive integer and n2 is divisible by 72, then the largest positive integer that must divide n is(A) 6 (B) 12 (C) 24(D) 36 (E) 48（分数：5.00）A.B. C.D.E.解析：4.In a certain population, 40 percent of all

45、people have biological characteristic X; the others do not. If 8,000 people have characteristic X, how many people do not have X?(A) 3200 (B) 4800 (C) 12,000(D) 16,000 (E) 20,000（分数：5.00）A.B.C. D.E.解析：5. （分数：5.00）A.B.C.D.E. 解析：6.If cylinder P has a height twice that of cylinder Q and a radius half t

46、hat of cylinder Q, what is the ratio between the volume of cylinder P and the volume of cylinder Q?(A) 1:8 (B) 1:4 (C) 1:2(D) 1:1 (E) 2:1（分数：5.00）A.B.C. D.E.解析：7.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. H

47、ow many boxes of paper clips did Paul buy if he spent 91 cents on boxes of paper clips?(A) 6 (B) 7 (C) 8(D) 9 (E) 10（分数：5.00）A.B.C.D. E.解析：8.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?(A) $30 (B

48、) $60 (C) $120(D) $210 (E) $420（分数：5.00）A.B.C. D.E.解析：9.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 election in which the candidate w

49、ith 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?(A) 1 (B) 2 (C) 3(D) 4 (E) 5（分数：5.00）A.B.C.D. E.解析：10.ADVANCED PURCHASE DISCOUNTS FOR AIRLINE TRAVEL Days Prior to Departure Percentage Discount06 days 0%713 days 10%1429 days 25%30 days or more40%The table above shows the discount structure for advanced purchase of tickets at a particular airline. A passenger bought a ticket at this airline for$1,050. The ticket agent informed her that, had she purchase