工商管理硕士入学考试-文字题(二)_真题-无答案

2022-09-01 来源：意榕旅游网

工商管理硕士入学考试-文字题(二)

(总分285,考试时间90分钟)

单项选择题

1. If a certain grove consists of 36 pecan trees, what was the yield per tree last year?

(1)The yield per tree for the 18 trees in the northern half of the grove was 60 kilograms last year.

(2)The yield per tree for the 18 trees in the eastern half of the grove was 55 kilograms last year.

(A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

2. While driving Oil the expressway, did Robin ever exceed the 55-miles-per-hour speed limit? (1)Robin drove 100 miles on the expressway. (2)Robin drove for 2 hours on the expressway. (A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

3. In a student body the ratio of men to women was 1 to 4. After 140 additional men were admitted, the ratio of men to women became 2 to 3. How large was the student body after the additional men were admitted?

(A) 700 (B) 560 (C) 280 (D) 252 (E) 224

4. An instructor scored a student's test of 50 questions by subtracting 2 times the number of incorrect answers from the number of correct answers. If the student answered all of the questions

and received a score of 38, how many questions did that student answer correctly? (A) 19 (B) 38 (C) 41 (D) 44 (E) 46

5. A wildlife preserve is being planned for 3,000 rhinoceroses. The preserve is to contain a total of 10,000 acres of watering area, plus 100 acres of grazing area for each rhinoceros. If the number of rhinoceroses is expected to increase by 10 percent, how many thousand acres should the preserve have in order to provide for the increased population? (A) 340 (B) 330 (C) 320 (D) 310 (E) 300

6. At a certain state university last term, there were p students each of whom paid either the full tuition of x dollars or half the full tuition. What percent of the tuition paid by the p students last term was tuition from students who paid the full tuition? (1)Of the P students, 20 percent paid the full tuition.

(2)The p students paid a total of $91.2 million for tuition last term. (A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

7. A cashier mentally reversed the digits of one customer's correct amount of change and thus gave the customer art incorrect amount of change. If the cash register contained 45 cents more than it should have as a result of this error, which of the following could have been the correct amount of change in cents?

(A) 14 (B) 45 (C) 54 (D) 65 (E) 83

8. The ratio，by volume, of soap to alcohol to water in a certain solution is 2:50:100. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain? (A) 50 (B) 200 (C) 400 (D) 625 (E) 800

9. If the ratio of men to women employed by Company S in 1975 was , what is the ratio of men to women employed by Company S in 1976?

(1)Company S employed 20 more women in 1976 than in 1975.

(2)Company S employed 20 more men in 1976 than in 1975. (A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

10. A certain Social Security recipient will receive an annual benefit of $12,000 provided he has annual earnings of $9,360 or less, but the benefit will be reduced by $1 for every $3 of annual earnings over $9,360. What amount of total annual earnings would result in a 50 percent reduction in the recipient's annual Social Security benefit? (Assume Social Security benefits are not counted as part of annual earnings.) (A) $15,360 (B) $17,360 (C) $18,000 (D) $21,360 (E) $27,360

11. If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately years．If Pat's parents invested $5,000 in a long-term and that pays 8 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college? (A) $20,000 (B) $15,000 (C) $12,000 (D) $10,000 (E) $9,000

12. A boy walking along a road at 3 kilometers per hour is overtaken by 3 truck traveling at 40 kilometers per hour. If the truck breaks down 1 kilometer beyond where it passes the boy, how many minutes after the breakdown does the boy reach the truck?

13. A merchant paid $300 for a shipment of x identical calculators. The merchant used 2 of the calculators as demonstrators and sold each of the others for $5 more than the average (arithmetic mean) cost of the X calculators. If the total revenue from the sale of the calculators was $120 more than the cost of the shipment, how many calculators were in the shipment? (A) 24 (B) 25 (C) 26 (D) 28 (E) 30

14. At a certain university, if 50 percent of the people who inquire about admission policies actually submit applications for admission, what percent of those who submit applications for admission enroll in classes at the university?

(1)Fifteen percent of those who submit applications for admission are accepted at the university.

(2)Eighty percent of those who are accepted send a deposit to the university. (A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

15. An airline passenger is planning a trip that involves three connecting flights that leave from Airports A, B, and C, respectively. The first flight leaves Airport A every hour，beginning at 8:00 a.m., and arrives at Airport B hours later. The second flight leaves Airport B every 20 minutes, beginning at 8:00 a.m., and arrives at Airport C hours later. The third flight leaves Airport C every hour, beginning at 8.45 a.m. What is the least total amount of time the passenger must spend between flights if all flights keep to their schedules? (A) 25 min (B) 1 hr 5 min

16. At what speed was a train traveling on a trip when it **pleted half of the total distance of the trip?

(1)The trip was 460 miles long and took 4 hours to complete.

(2)The train traveled at an average rate of 115 miles per hour Oil the trip. (A) 条件(1)充分，但条件(2)不充分．

(B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

17. A certain clock marks every hour by striking a number of times equal to the hour and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 22 seconds. At 12:00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke? (A) 72 (B) 50 (C) 48 (D) 46 (E) 44

18. In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is . For a group of 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life? (A) 140 (B) 146 (C) 152 (D) 162 (E) 170

19. A toy store regularly sells all stock at a discount of 20 percent to 40 percent. If an additional 25 percent were deducted from the discount price during a special sale, what would be the lowest possible price of a toy costing $16 before any discount? (A) $5.60 (B) $7.20 (C)$8.80 (D) $9.60 (E) $15.20

20. On a certain scale of intensity, each increment of 10 in magnitude represents a tenfold increase in intensity. On this scale, an intensity corresponding to a magnitude of 165 is how many times an intensity corresponding to a magnitude of 125? (A) 40 (B) 100 (C) 400 (D) 1,000 (E) 10,000

21. If the price of potatoes is $0.20 per pound, what is the maximum number of potatoes that can be bought for $1.00?

(1)The price of a bag of potatoes is $2.80.

(2)There are 15 to 18 potatoes in every 5 pounds. (A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

22. A certain ear increased its average speed by 5 miles per hour in each successive 5-minute interval after the first interval. If in the first 5-minute interval its average speed was 20 miles per hour, how many miles did the car travel in the third 5-minute interval? (A) 1.0 (B) 1.5 (C) 2.0 (D) 2.5 (E) 3.0

23. In year X a total of 355 billion dollars was spent for health care in the United States, 30 percent of which was spent by private health **panies. Was the amount spent for health care by the federal government's medicare program less than 60 billion dollars?

(1)In year X medicare spent more than , but less than , of the amount spent by the private health **panies for health care.

(2)In year X medicare spent 50 billion dollars less for health care than the amount spent by private health **panies.

(A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

24. Erica has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have? (A) 32 (B) 30 (C) 29 (D) 28 (E) 27

25. A person bought a ticket to a ball game for $15 and later sold the ticket for $60. What was the percent increase in the price of the ticket? (A) 25% (B) (C) 75% (D) 300% (E) 400%

26. Town T has 20,000 residents, 60 percent of whom are female. What percent of the residents were born in Town T?

(1)The number of female residents who were born in Town T is twice the number of male residents who were not born in Town T.

(2)The number of female residents who were not born in Town T is twice the number of male residents who were born in Town T.

(A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

27. Car X and car Y ran a 500-kilometer race, what was the average speed of car X? (1)Car X completed the race in 6 hours and 40 minutes.

(2)Car Y, at an average speed of 100 kilometers per hour, completed the race 1 hour and 40 minutes before car X crossed the finish line. (A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

28. A family made a down payment of $75 and borrowed the balance on a set of encyclopedias that cost $400. The balance with interest was paid in 23 monthly payments of $16 each and a final payment of $9.

The amount of interest paid was what percent of the amount borrowed? (A) 6% (B) 12% (C) 14% (D) 16% (E) 20%

29. A total of 40 brand X television sets and 80 brand Y television sets were purchased for a motel chain. If the price of each brand Y set was twice the price of each brand X set, what percent of the total bill was the price of a brand Y set? (A) 0.25% (B) 0.5% (C) 0.625% (D) 0.833% (E) 1.0%

30. Company R's annual profit has increased by a constant amount each calendar year since 1985. What was Company R's annual profit in 1991?

(1)In 1985 Company R's annual profit was $212.000; in 1989 Company R's annual profit was $242,000.

(2)Company R's annual profit has increased by $7,500 each year since 1985. (A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

31. How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 25 percent alcohol?

32. One-fifth of the light switches produced by a certain factory are defective. Four-fifths of the defective switches are rejected and of the nondefective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective? (A) 4% (B) 5% (C) 6.25% (D) 11% (E)16%

33. One night 18 percent of the female officers on a police force were on duty. If 180 officers were on duty that night and half of these were female officers, how many female officers were on the police force?

(A) 90 (B) 180 (C) 270 (D) 500 (E) 1,000

34. Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 1-cent stamps she could have bought? (A) 5 (B) 10 (C) 15

(D) 20 (E) 25

35. In a refinery, the capacity of oil tank A is 70 per cent of the capacity of oil tank B. How many more gallons of oil are in tank A than in tank B? (1)Tank A is 90 percent full; tank B is 50 percent full. (2)When full, tank A contains 50,000 gallons of oil. (A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

36. A decorator bought a bolt of defective cloth that he judged to be usable, in which ease the cost would be $0.80 per usable yard. If it was later found that only of the bolt could be used, what was the actual cost per usable yard? (A) $0.60 (B) $0.90 (C)$1.00 (D) $1.20 (E) $1.70

37. A sum of $200,000 from a certain estate was divided among a spouse and three children. How much of the estate did the youngest child receive?

(1)The spouse received of the sum from the estate, and tile oldest child received of the remainder.

(2)Each of the two younger children received $12.500 more than the oldest child and $62,500 less than the spouse.

(A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

38. A breakfast that consists of 1 ounce of corn puffs and 8 ounces of fruit X provides 257 calories. When 8 ounces of fruit Y is substituted for the 8 ounces of fruit X, the total number of calories is reduced to 185. If fruit X provides 1.8 times as many calories as fruit Y, how many calories does 8 ounces of fruit Y alone provide? (A) 11.25 (B) 72 (C) 90 (D) 95 (E) 129.6 39.

Cars Y and Z travel side by side at the same rate of speed along parallel roads as shown above. When car Y reaches point P, it forks to the left at angle x, changes speed, and continues to stay even with car Z as shown by the dotted line. The speed of car Y beyond point P is what percent of the speed of car Z?

(1)the speed of car Z is 50 miles per hour. (2)x=45

(A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

40. An employee is paid 1.5 times the regular hourly rate for each hour worked in excess of 40 hours per week, excluding Sunday, and 2 times the regular hourly rate for each hour worked on Sunday. How much was the employee paid last week? (1)The employee's regular hourly rate is $10.

(2)Last week the employee worked a total of 54 hours but did not work more than 8 hours on any day.

(A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

41. A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city? (A) 14 (B) 16 (C) 21 (D) 22 (E) 27

42. A digital wristwatch was set accurately at 8:30 a.m. and then lost 2 seconds every 5 minutes. What time was indicated on the watch at 6:30 p.m. of the same day if the watch operated continuously until that time?

(A) 5:56 (B) 5:58 (C)6:00 (D) 6:23 (E) 6:26

43. On a certain day it took Bill three times as long to drive from home to work as it took Sue to drive from home to work. How many Kilometers did Bill drive from home to work?

(1)Sue drove 10 kilometers from home to work, and the ratio of was the same for Bill and Sue that day.

(2)The ratio of for Sue that day was 64 kilometers per hour.

(A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

44. A retailer sold an appliance for 30 percent above cost, which represented a gross profit of $21.00. For what price did the retailer sell the appliance? (A) $27.30 (B) $51.00 (C) $63.00 (D) $70.00 (E) $91.00

45. Last week a production worker had gross earnings of $390.00. If she worked more than 40 hours last week and was paid 1.5 times her regular hourly rate for each hour worked in excess of 40 hours, how many hours did she work last week?

(1)If she had worked 4 more hours last week, her gross earnings would have been $435.00. (2)Her regular hourly rate last week was $7.50. (A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

46. Cars X and Y were traveling together on a straight road at a constant speed of 55 miles per hour when car X stopped for 5 minutes. If car Y continued to travel at 55 miles per hour, how many minutes from the time that car X resumed traveling did it take car X traveling at 60 miles per hour to catch up with car Y? (Assume that the time for car X to slow down and speed up was negligible.)

(A) 5 (B) 30 (C) 45 (D) 55 (E) 60

47. A jewelry dealer initially offered a bracelet for sale at an asking price that would give a profit to the dealer of 40 percent of the original cost. What was the original cost of the bracelet?

(1)After reducing this asking price by 10 percent, the jewelry dealer sold the bracelet at a profit of $403.

(2)The Jewelry dealer sold the bracelet for $1,953. (A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

48. All of the tickets for two real estate seminars, F and G, were either purchased or given away, and the ratio of F tickets to G tickets was 2 to 1. Of the total number of F tickets and G tickets, what percentage was purchased?

(1)The total number of F tickets and G tickets is 240.

(2)Of the F tickets, exactly 60 percent were purchased, and of the G tickets, exactly 80 percent were purchased.

(A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

49. Mary invested $8,400 for 6 months in a certificate of deposit paying percent simple annual interest. How much more interest would Mary have received if the interest rate on this certificate had been 9 percent simple annual interest? (A) $2.10 (B) $21.00 (C) $42.00 (D) $210.00 (E) $420.00

50. On a purchase of $120， a store offered a payment plan consisting of a $20 down payment and 12 monthly payments of $10 each. What percent of the purchase price， to the nearest tenth of a percent, did the customer pay in interest by using this plan? (A) 16.7% (B) 30% (C) 75.8% (D) 106.7% (E)107.5%

51. Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the **pensation?

(A) $21,000 (B) $18,000 (C) $15,000 (D) $4,500 (E) $4,000

52. The price per share of stock X increased by 10 percent over the same time period that the price per share of stock Y decreased by 10 percent. The reduced price per share of stock Y was what percent of the original price per share of stock X?

(1)The increased price per share of stock X was equal to the original price per share of stock Y. (2)The increase in the price per share of stock X was the decrease in the price per share of stock Y.

(A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

53. In a retail store, the average (arithmetic mean) sale for month M was d dollars. Was the average (arithmetic mean) sale for month J at least 20 percent higher than that for month M? (1)For month M, total revenue from sales was $3,500. (2)For month J, total revenue from sales was $6, 000. (A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

54. On July 1, 1982, Ms. Fox deposited $10, 000 in a new account at the annual interest rate of 12 **pounded monthly. If no additional deposits or withdrawals were made and if interest was credited on the last day of each month, what was the amount of money in the account on September 1, 1982?

(A) $10,200 (B) $10,201 (C) $11,100 (D) $12,100 (E) $12,544

55. Before play-offs, a certain team had won 80 percent of its games. After play-offs, what percent of all its games had the team won?

(1)The **peted in 4 play-off games.

(2)The team won all of its play-off games. (A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

56. If Mark saved an average (arithmetic mean) of $80 per week for 3 consecutive weeks, how much did he save the second week?

(1)The average amount that Mark saved per week for the first 2 weeks was $60.

(2)The amount that Mark saved the first week was the amount he saved the second week and the amount he saved the third Week.

(A) 条件(1)充分，但条件(2)不充分． (B) 条件(2)充分，但条件(1)不充分．

(D) 条件(1)充分，条件(2)也充分．

(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．

57. A 5-liter jug contains 4 liters of a saltwater solution that is 15 percent salt. If 1.5 liters of the solution spills out of the jug, and the jug is then filled to capacity with water, approximately what percent of the resulting solution in the jug is salt?

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工商管理硕士入学考试-文字题(二)_真题-无答案