工商管理硕士入学考试数学机考doc.docx

1、工商管理硕士入学考试数学机考doc工商管理硕士入学考试-数学机考(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 perce

2、nt.C.There is no change in taxes.D.Taxes decrease by 1 percent.E.(E) Taxes decrease by 10 percent.2.DistrictNumber Of Votes Percent of Votes for Candidate P Percent of Votes for Candidate 1800604021,000505031,500505041,8004060S1,2003070The table above shows the results of a recent school board elect

3、ion 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 chosen me

4、mber 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 row a

5、nd 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 percent fr

6、om 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 of th

7、e 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.$8.10D

8、.$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 between

9、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 the

10、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 total n

11、umber 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 small c

12、ereal 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 truc

13、k 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 exactl

14、y 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.1:2D.1:

15、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 the s

16、tep 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 which it p

17、ays $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 income did

18、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 amounted to d

19、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 associated cost

20、s 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 assembled

21、 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) 4826.1234567-2-4-6-8-10-12-1436912151821-4-8-12-16-20-24-285101520253

22、035-6-12-18-24-30-36-427142128354249What 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, numbered 1 through 10, to teach her students to order numb

23、ers 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 four randomly selected cards are possible?（分数：5.00）A.70B.

24、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 per hour and left at 4:40. At what time will car B catch

25、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 some of the students leave, the total number of persons

26、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 separate index card. He placed the cards in a box, then dre

27、w 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) 333.In a certain company, the ratio of the number of wome

28、n 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 result is two equal halves which are then lying on top of one

29、 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 rectangular wall which is ten feet high. When she has pa

30、inted 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 people 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 e