1、GRE-练习十四及答案解析(总分：49.00，做题时间：90 分钟)一、单项选择题(总题数：35，分数：35.00)1.A company paid $500，000 in merit raises to employees whose performances were rated A，B，or CEach employee rated A received twice the amount of the raise that was paid to each employee rated C；each employee rated B received （分数：1.00）A.B.C.D.E
2、.2.A candy assortment consists of seven flavors of chocolatecovered creams packed in twolayered boxes with 27 creams in each layerThe flavors are always packed in rows so that the flavor varies with each piece in the following order：vanilla，orange，cherry，vanilla raspberry，lime，pecan， cherry，lemon Ho
3、w many chocolatecovered vanilla creams are needed to pack 200 boxes of the assortment?A. 600 B. 1，200 C. 1，800D. 2，400E. 3，600（分数：1.00）A.B.C.D.E.3.The cost，in dollars，for an appliancerepair at a certain company is 1.2p+20h，where p is the wholesale price of the parts，in dollars，and，2 is the number of
4、 hours it takes to repair the applianceWhat is the cost of repairing an appliance if the wholesale price of the parts is $15and it takes 2 hours to repair it?A. $12 B. $18 C. $20D. $40 E. $58（分数：1.00）A.B.C.D.E.4.A certain company has found that the number of labor hours required to produce x items i
5、s directly proportional to the square root of xIf 3 labor hours are required to produce 20 items，how many labor hours are required to produce 40items?（分数：1.00）A.B.C.D.E.5.A rectangular floor 18 feet by 10 feet is to become pletely covered with carpeting that costs x dollars per square yardIn terms o
6、f x，how many dollars will the carpeting cost?(1 yard=3 feet)A. 20x B. 28x C. 60xD. 180x E. 540x（分数：1.00）A.B.C.D.E.6.A consumer insulates a house with material bought at 20 percent off the list price of$370If the consumer also receives are bate of $25 from the manufacturer of the material，how much do
7、es the material cost the consumer?A. $238 B. $240 C. $263D. $271 E. $325（分数：1.00）A.B.C.D.E.7.The decorating committee for a dance plans to fringe the 3-inchwide end of a streamer by making small cuts every （分数：1.00）A.B.C.D.E.8.A research scientist wants to study a certain attribute of dogs It is est
8、imated that approximately 5 percent ofall dogs have this attributeIf the scientist wants to study a sample of N dogs having the attribute，approximately how many dogs should be screened in order to abtain the desired sample size?A. （分数：1.00）A.B.C.D.E.9.Working alone，a small pump takes twice as long a
9、s a large pump takes to fill an empty tankWorking together at their respective constant rates，the pumps can fill the tank in 6 hoursHow many hours would it take the small pump to fill the tank working alone?A. 8 B. 9 C. 12D. 15 E. 18（分数：1.00）A.B.C.D.E.10.The illumination E， in foot candles，provided
10、by a light source of intensity I，in candles，at a distance D，in feet，iSgiven by （分数：1.00）A.B.C.D.E.11.To obtain an FHA mortgage for $50，000or more，the home buyer must have adown payment equal to 4 percent of the first $25，000 of the mortgage amount and5 percent of the portion in excess of$25，000At se
11、ttlement the buyer pays a mortgage insurance premium equal to 3percent of the mortgage amountWhat is the maximum FHA mortgageif anyA buyer can obtain if the buyer has only$6，000 available for the down payment and insurance premium?A. $62，500 B. $71，875C. $78，125 D. $125，000E. The home buyer cannot o
12、btain an FHA mortgage（分数：1.00）A.B.C.D.E.12.Of the 400 cadets in a graduating class，30percent were w。men and，of these， （分数：1.00）A.B.C.D.E.13.At 9:00 amtrain T 1eft the train station and two hours later train S left the same station on a parallel track If train Taver aged 60 kilometers per hour and tr
13、ain Saver aged 75 kilometers per hour until S passed Tat what time did S pass T?A. 2:00 Pm B. 5:00 pmC. 6:00 Pm D. 7:00pmE. 9:00 Pm（分数：1.00）A.B.C.D.E.14.What was the original price of an item if a discount of 20 percent reduced the price to$100?A. $80 B. $120 C. $125D. $150 E. $250（分数：1.00）A.B.C.D.E
14、.15.In a certain room，all except 18 of the people are over 50 years of ageIf 15 of the people in the room are under 50 years of age，how many people are in the room?A. 27 B. 30 C. 33 D. 36E. It cannot be determined from theinformation given（分数：1.00）A.B.C.D.E.16. If 8，750 pairs of shoes are represente
15、d in the pictograph above，how many pairs of shoes does each （分数：1.00）A.B.C.D.E.17.when of a certain number is added to the number and this sum is subtracted from108the result is the original numberWhat is the original number?A. 35 B. 45 C. 54D. （分数：1.00）A.B.C.D.E.18.A school bus has 10 double seats
16、in each of2 rowsTwo students can sit in each double seatIf an empty bus starts out and makes two stops，picking up three times the number of students at the second stop as at the first stop，and if the bus is then filled to seating capacity，how many students got on the bus at the second stop?A. 5 B. 1
17、0 C. 15D. 20 E. 30（分数：1.00）A.B.C.D.E.19.If the cost of a longdistance phone call is c cents for the first minute and cents for each additional minute，what is the cost，in centsof a 10-minute call of this type?（分数：1.00）A.B.C.D.E.20.A certain money market account that had a balance of $48，000 during al
18、l of last monthearned$360 in interest for the monthAt what simple annual interest rate did the account earn interest last month?A. 7% B. 7.5% C. 8%D. 8.5% E. 9%（分数：1.00）A.B.C.D.E.21.A widow received of her husbands estate，and each of her three sons received （分数：1.00）A.B.C.D.E.22.In a certain country
19、，a person is born every3 seconds and a person dies every 10secondsTherefore，the birth and death rates account for a population growth rate of one Person every（分数：1.00）A.B.C.D.E.23.A buzzer sounds every 15 minutesIf the buzzer sounded at 12:40，which of the following could be a time at which the buzze
20、r sounded?A. 4:05 B. 5:30 C. 6:45D. 7:15 E. 8:10（分数：1.00）A.B.C.D.E.24.The daily rate for a hotel room that sleeps4 people is$39 for one person and x dollars for each additional personIf 3people take the room for one day and each pays $21 for the room，what is the value of x?A. 6 B. 8 C. 12D. 13 E. 24
21、（分数：1.00）A.B.C.D.E.25.Sixtyeight people are sitting in 20 cars and each car contains at most 4 peopleWhat is the maximum possible number of cars that could contain exactly 1 of the 68people?A. 2 B. 3 C. 4D. 8 E. 12（分数：1.00）A.B.C.D.E.26.A manufacture packages soap powder in containers of three differ
22、ent sizesThe amount of soap powder in a full large container could fill exactly 3 of the medium containers or exactly 5 of the small containersIf an equal number of small and large containers are to be filled with the amount of soap powder that would fill 90medium containers，how many small container
23、s will be filled?A. 25 B. 27 C. 30D. 45 E. 55（分数：1.00）A.B.C.D.E.27.Art，Bob，and Carmen share a prize of$400If Art receives twice as much as Bob，and if Bob receives （分数：1.00）A.B.C.D.E.28.The charge for a telephone call made at10:00 amfrom city Y to city X is $050 for the first minute and $0.34 for eac
24、h additional minuteAt these rates，what is the difference between the total cost of three5-minute calls and the cost of one 15-minutecall?A. $0.00B. $0.16C. $0.32D. $0.48E. $1.00（分数：1.00）A.B.C.D.E.29.Mechanical toy cars A，B，and C，each traveling at its own uniform rate，started from the same point at t
25、he same time and raced a 400-meter courseWhen A crossed the finish lineB was 40meters behind A，and C was 58 meters behind AWhen B crossed the finish line，how many meters was C from the finish line?A. 16B. 18C. 19D. 20E. 22（分数：1.00）A.B.C.D.E.30.The scores reported for a certain multiplechoice test we
26、re dcrived by subtracting （分数：1.00）A.B.C.D.E.31.Three salespeople are paid commissions in proportion to the amount of their sales，which total $25，000， $40，000， and$60，000， respectively If a total of$20，000 is allocated for these three commission，what is the amount of the largest commission paid?A. $
27、8，000 B. $8，400C. $9，600 D. $10，000E. $12，000（分数：1.00）A.B.C.D.E.32.On a highway there is an electric pole every96 feet If the poles are numbered consecutively，what is the number of the pole 2 miles past pole number 56?(1 mile=5，280 feet)A. 109 B. 110 C. 152D. 165 E. 166（分数：1.00）A.B.C.D.E.33.If two t
28、rains are 120 miles apart and are traveling toward each other at a constant rate of 30 mph and 40 mph，respectively，how far apart will they be exactly 1 hour before they meet?A. 10 miles B. 30 milesC. 40 miles D. 50 milesE. 70 miles（分数：1.00）A.B.C.D.E.34.A timestudy specialist has set the production r
29、ate for each worker on acerta in job at 22 units every 3 hoursAt this rate what is the minimum number of workers that should be put on the job if at least 90 units are to be produced per hour?A. 5 B. 8 C. 12D. 13 E. 30（分数：1.00）A.B.C.D.E.35.A basket contains a total of 30 apples and pearsIf it contai
30、ns （分数：1.00）A.B.C.D.E.二、比较题(总题数：14，分数：14.00)36.Water is to be poured at a rate of 2.5gallons per minute into a 500-gallon tank that initially contains 50 gallons of water（分数：1.00）A.B.C.D.37.After a store had sold k television sets for p dollars each，it reduced the price p of each set by 5 percent an
31、d then sold twice as many sets at this reduced price（分数：1.00）A.B.C.D.38.Brand R coffee costs $3.25 per pound and brand T coffee costs $2.50 per poundThe number of pounds of brand R in a（分数：1.00）A.B.C.D.39.A purchase plan for a stereo receiverre quires 20 percent of the total cost as adown payment an
32、d monthly payments of$30（分数：1.00）A.B.C.D.40.MsSmith got an 8 percent cost of living raise of $20 per week（分数：1.00）A.B.C.D.41.d0（分数：1.00）A.B.C.D.42.MsRogers bought an electric range on the installment planThe cash price of the range was$4.00The amount she paid was$120 down and 12 monthly payments of$
33、28each（分数：1.00）A.B.C.D.43. （分数：1.00）A.B.C.D.44.Jill has 6x red marbles and 4y green marblesBill has half as many red marbles as Jill，but he has twice as many red marbles and green marbles combined as Jill（分数：1.00）A.B.C.D.45.In a history Class that consisted of 30students，the number of seniors was 3m
34、ore than twice the number of juniors，and of the students were neither juniors nor seniors（分数：1.00）A.B.C.D.46.MrsJones sold two houses for $80，000 eachOne house was sold at a 20 percent loss and the other at a 20 percent gain（分数：1.00）A.B.C.D.47.A grocer buys apples at the regular price of38 cents per
35、 pound（分数：1.00）A.B.C.D.48.A speed of 30 miles per hour is equivalent to a speed of 44 feet per secondA speed of33 feet per second is equivalent to a speed（分数：1.00）A.B.C.D.49.On July 1 st the ratio of men to women in club X was 9 to 20During the month2additional men and 2 additional women joined the
36、club，and no members dropped out（分数：1.00）A.B.C.D.GRE-练习十四答案解析(总分：49.00，做题时间：90 分钟)一、单项选择题(总题数：35，分数：35.00)1.A company paid $500，000 in merit raises to employees whose performances were rated A，B，or CEach employee rated A received twice the amount of the raise that was paid to each employee rated C；ea
37、ch employee rated B received （分数：1.00）A.B.C.D.E. 解析：某公司给业绩为 A，B，C 级的员工发放$500，000 的奖金。每一个 A 级员工所拿奖金等于每一个 C级员工的两倍；每一个 B 级员工所拿的奖金是每一个 c 级员工的*倍。若 50 个员工被评为 A 级，100 个员工被评为 B 级，150 个员工被评为 C 级，那么每个 A 级的员工得到的奖金是多少?设 C 级雇员的奖金为 x，由题意可得：*解方程可得 x=$1，250，所以 A 级员工的奖金为$2，500。2.A candy assortment consists of seven
38、flavors of chocolatecovered creams packed in twolayered boxes with 27 creams in each layerThe flavors are always packed in rows so that the flavor varies with each piece in the following order：vanilla，orange，cherry，vanilla raspberry，lime，pecan， cherry，lemon How many chocolatecovered vanilla creams a
39、re needed to pack 200 boxes of the assortment?A. 600 B. 1，200 C. 1，800D. 2，400E. 3，600（分数：1.00）A.B.C.D. E.解析：一份包括 7 种口味的巧克力奶糖被装在双层盒子中，每层装 27 块奶糖。每行放嚣的奶糖块块口味不同且以如下口味顺序放置：vanilla，orange，cherry，vanilla，raspberry，limepecan，cherry，lemon。问 200 个糖果盒中需要装多少块 vanilla 口味的巧克力奶糖?糖果盒的每行 9 块糖中有 2 块是 vanilla 口味，每层有
40、 279=3 行，每个盒子中有 2 层糖，那么每个盒子中 vanilla 口味的奶糖有 232=12 块，所以两个盒子有共有 vanilla 口味的奶糖 12200=2400 块。3.The cost，in dollars，for an appliancerepair at a certain company is 1.2p+20h，where p is the wholesale price of the parts，in dollars，and，2 is the number of hours it takes to repair the applianceWhat is the cost
41、 of repairing an appliance if the wholesale price of the parts is $15and it takes 2 hours to repair it?A. $12 B. $18 C. $20D. $40 E. $58（分数：1.00）A.B.C.D.E. 解析：某公司一设备的修理成本，以美元计，为 1.2p+20h，其中 p 是零件的批发价格(以美元计)，h 是修理设备所用的小时数。如果零件的批发价是 15 美元，并且花了 2 小时修理，那么修理这个设备的成本是多少?解答该题时，只要把数据代入题中所给的公式即可：1.215+220=584
42、.A certain company has found that the number of labor hours required to produce x items is directly proportional to the square root of xIf 3 labor hours are required to produce 20 items，how many labor hours are required to produce 40items?（分数：1.00）A. B.C.D.E.解析：某公司发现，生产 x 件产品所需工作时间与 x 的平方根(square ro
43、ot)直接成正比，生产 20 件产品需要 3 个工作时间，问生产 40 件产品需多少工作时间?根据题中给出的工作时间与生产产品的数量的平方根成正比关系可以列出等式：*5.A rectangular floor 18 feet by 10 feet is to become pletely covered with carpeting that costs x dollars per square yardIn terms of x，how many dollars will the carpeting cost?(1 yard=3 feet)A. 20x B. 28x C. 60xD. 180
44、x E. 540x（分数：1.00）A. B.C.D.E.解析：一长为 18 英尺，宽为 10 英尺的长方形地板要全部铺上每平方码 x 美元的地毯。以 x 为单位，地毯总共需花多少钱?(1 码=3 英尺 1解答该题时，考生一定要注意前后单位的变化，一时疏忽很易选(D)。考虑单位变化，*6.A consumer insulates a house with material bought at 20 percent off the list price of$370If the consumer also receives are bate of $25 from the manufacture
45、r of the material，how much does the material cost the consumer?A. $238 B. $240 C. $263D. $271 E. $325（分数：1.00）A.B.C.D. E.解析：一名装修房子的消费者以 20%的折扣买了标价为 370 美元的材料，若该消费者同时还从材料制造商那里获得$25 回扣问这个消费者买材料花了多少钱?“20% off the listing price”指打了 20%的折，等同于 at a discount of 20%，由题意可得该消费者买材料花的钱为：370(1-20%)-25=2717.The d
46、ecorating committee for a dance plans to fringe the 3-inchwide end of a streamer by making small cuts every （分数：1.00）A.B.C. D.E.解析：一舞蹈的装潢委员会计划在一条幅的 3 英寸终端做边穗，若每*英寸剪一下，需要剪多少次来给终端做边穗?3 英寸的*英寸的 48 倍，每*英寸剪一下，共剪 47 下即可。8.A research scientist wants to study a certain attribute of dogs It is estimated that
47、 approximately 5 percent ofall dogs have this attributeIf the scientist wants to study a sample of N dogs having the attribute，approximately how many dogs should be screened in order to abtain the desired sample size?A. （分数：1.00）A.B.C. D.E.解析：一科学家想研究狗的某种特性。据估计约有 5%的狗具有这种特性。若这位科学家想把 N 只具有这种特性的狗作为一个样本
48、来研究，那么为了得到期望的样本大小，大约需要筛选多少条狗?设需筛选 x 条狗，则由题意可得：*9.Working alone，a small pump takes twice as long as a large pump takes to fill an empty tankWorking together at their respective constant rates，the pumps can fill the tank in 6 hoursHow many hours would it take the small pump to fill the tank working al
49、one?A. 8 B. 9 C. 12D. 15 E. 18（分数：1.00）A.B.C.D.E. 解析：单独工作时，一个小水泵充满一个空水箱所花的时间是大水泵的两倍。两个水泵保持其各自通常的速度共同工作时，共需花 6 个小时灌满水箱。若小水泵单独工作时，需花多长时间才能灌满水箱?设小水泵需花 x 小时灌满水箱，则大小泵需花*小时灌满小箱，由题意可得：*10.The illumination E， in foot candles，provided by a light source of intensity I，in candles，at a distance D，in feet，iSgiven by （分数：1.00）A.B.C. D.E.解析：一强度为 I(以烛光为单位)的光源，在距离 D(以英尺为单位)处的光的亮度 E(以英尺烛光为单位)被定义为*。若在离某光源 4 英尺的地方，光的强度为 50 英尺烛光，那么该光源的强度一定是解答本题的关键是对题目中所描述的对物理概念的理解。根据*可得：I
