Ratio for GMAT.docx

Ratio for GMAT.docx

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RatioforGMAT

比例问题

1、Lastmonthacertainmusicclubofferedadiscounttopreferredcustomers.Afterthefirstcompactdiscpurchased,preferredcustomerspaid$3.99foreachadditionalcompactdiscpurchased.Ifapreferredcustomerpurchasedatotalof6compactdiscsandpaid$15.95forthefirstcompactdisc,thenthedollaramountthatthecustomerpaidforthe6compactdiscsisequivalenttowhichofthefollowing?

（A）5*4+15.90

（B）5*4+15.95

（C）5*4+16.00

（D）5（4-0.01）+15.90

（E）5（4-0.05）+15.95

2.Amongagroupof2,500people,35percentinvestinmunicipalbonds,18percentinvestinoilstocks,and7percentinvestinbothmunicipalbondsandoilstocks.If1personistoberandomlyselectedfromthe2,500people,whatistheprobabilitythatthepersonselectedwillbeonewhoinvestsinmunicipalbondsbutNOTinoilstocks?

（A）9/50（B）7/25（C）7/20（D）21/50（E）27/50

3.Positiveintegeryis50percentof50percentofpositiveintegerx,andypercentofxequals100.Whatisthevalueofx?

（A）50（B）100（C）200（D）1000（E）2000

4.Ofthe84parentswhoattendedameetingataschool,35volunteeredtosupervisechildrenduringtheschoolpicnicand11volunteeredbothtosupervisechildrenduringthepicnicandtobringrefreshmentstothepicnic.Ifthenumberofparentswhovolunteeredtobringrefreshmentswas1.5timesthenumberofparentswhoneithervolunteeredtosupervisechildrenduringthepicnicnorvolunteeredtobringrefreshments,howmanyoftheparentsvolunteeredtobringrefreshments?

（A）25（B）36（C）38（D）42（E）45

5.Johndeposited$10,000toopenanewsavingsaccountthatearned4percentannualinterest,

compoundedquarterly.Iftherewerenoothertransactionsintheaccount,whatwastheamountofmoneyinJohn’saccount6monthsaftertheaccountwasopened?

（A）$10,100

（B）$10,101

（C）$10,200

（D）$10,201

（E）$10,400

6.Aaronwilljogfromhomeatxmilesperhourandthenwalkbackhomebythesamerouteatymilesperhour.HowmanymilesfromhomecanAaronjogsothathespendsatotalofthoursjoggingandwalking?

（A）xt/y

（B）（x+t）/xy

（C）xyt/（x+y）

（D）（x+y+t）/xy

（E）（y+t）/x-t/y

7.ArainstormincreasedtheamountofwaterstoredinStateJreservoirsfrom124billiongallonsto138billiongallons.Ifthestormincreasedtheamountofwaterinthereservoirsto82percentoftotalcapacity,approximatelyhowmanybilliongallonsofwaterwerethereservoirsshortoftotalcapacitypriortothestorm?

（A）9

（B）14

（C）25

（D）30

（E）44

8.When1/10percentof5,000issubtractedfrom1/10of5,000,thedifferenceis

（A）0

（B）50

（C）450

（D）495

（E）500

9.WhenLeoimportedacertainitem,hepaida7percentimporttaxontheportionofthetotalvalueoftheiteminexcessof$1,000.IftheamountoftheimporttaxthatLeopaidwas$87.50,whatwasthetotalvalueoftheitem?

（A）$1,600

（B）$1,850

（C）$2,250

（D）$2,400

（E）$2,750

10.Atasupermarket,Johnspent1/2ofhismoneyonfreshfruitsandvegetables,1/3onmeatproducts,and1/10onbakeryproducts.Ifhespenttheremaining$6oncandy,howmuchdidJohnspendatthesupermarket?

（A）$60

（B）$80

（C）$90

（D）$120

（E）$180

11.Abakeryopenedyesterdaywithitsdailysupplyof40dozenrolls.Halfoftherollsweresoldbynoon,and80percentoftheremainingrollsweresoldbetweennoonandclosingtime.Howmanydozenrollshadnotbeensoldwhenthebakeryclosedyesterday?

（A）1

（B）2

（C）3

（D）4

（E）5

12.150iswhatpercentof30?

（A）5%

（B）20%

（C）50%

（D）200%

（E）500%

13.Ofthe50researchersinaworkgroup,40percentwillbeassignedtoTeamAandtheremaining60percenttoTeamB.However,70percentoftheresearcherspreferTeamAand30percentpreferTeamB.Whatisthelowestpossiblenumberofresearcherswhowill

NOTbeassignedtotheteamtheyprefer?

（A）15

（B）17

（C）20

（D）25

（E）30

14.Lucyinvested$10,000inanewmutualfundaccountexactlythreeyearsago.Thevalueoftheaccountincreasedby10percentduringthefirstyear,increasedby5percentduringthesecondyear,anddecreasedby10percentduringthethirdyear.Whatisthevalueoftheaccounttoday?

（A）$10,350

（B）$10,395

（C）$10,500

（D）$11,500

（E）$12,705

15.Fourstaffmembersatacertaincompanyworkedonaproject.Theamountsoftimethatthefourstaffmembersworkedontheprojectwereintheratio2to3to5to6.Ifoneofthefourstaffmembersworkedontheprojectfor30hours,whichofthefollowingCANNOTbethetotalnumberofhoursthatthefourstaffmembersworkedontheproject?

（A）80

（B）96

（C）160

（D）192

（E）240

16.CompanyPhad15percentmoreemployeesinDecemberthanithadinJanuary.IfCompanyPhad460employeesinDecember,howmanyemployeesdidithaveinJanuary?

（A）391

（B）400

（C）410

（D）423

（E）445

17.Aglasswasfilledwith10ouncesofwater,and0.01ounceofthewaterevaporatedeachdayduringa20-dayperiod.Whatpercentoftheoriginalamountofwaterevaporatedduringthisperiod?

（A）0.002%

（B）0.02%

（C）0.2%

（D）2%

（E）20%

18.Onacertainday,orangeadewasmadebymixingacertainamountoforangejuicewithanequalamountofwater.Onthenextday,orangeadewasmadebymixingthesameamountoforangejuicewithtwicetheamountofwater.Onbothdays,alltheorangeadethatwasmadewassold.Iftherevenuefromsellingtheorangeadewasthesameforbothdaysandiftheorangeadewassoldat$0.60perglassonthefirstday,whatwasthepriceperglassonthesecondday?

（A）$0.15

（B）$0.20

（C）$0.30

（D）$0.40

（E）$0.45

19.Atacertainschool,theratioofthenumberofsecondgraderstothenumberoffourthgradersis8to5,andtheratioofthenumberoffirstgraderstothenumberofsecondgradersis3to4.Iftheratioofthenumberofthirdgraderstothenumberoffourthgradersis

3to2,whatistheratioofthenumberoffirstgraderstothenumberofthirdgraders?

（A）16to15

（B）9to5

（C）5to16

（D）5to4

（E）4to5

20.Atacertaininstantintime,thenumberofcars,N,travelingonaportionofacertainhighwaycanbeestimatedbytheformula

whereListhenumberoflanesinthesamedirection,disthelengthoftheportionofthehighway,infeet,andsistheaveragespeedofthecars,inmilesperhour.Basedontheformula,whatistheestimatednumberofcarstravelingona1/2mileportionofthehighwayifthehighwayhas2lanesinthesamedirectionandtheaveragespeedofthecarsis40milesperhour?

（5280feet=1mile）

（A）155

（B）96

（C）80

（D）48

（E）24

21.Yesterday’sclosingpricesof2,420differentstockslistedonacertainstockexchangewerealldifferentfromtoday’sclosingprices.Thenumberofstocksthatclosedatahigherpricetodaythanyesterdaywas20percentgreaterthanthenumberthatclosedatalowerprice.Howmanyofthestocksclosedatahigherpricetodaythanyesterday?

（A）484

（B）726

（C）1,100

（D）1,320

（E）1,694

22.Atleast2/3ofthe40membersofacommitteemustvoteinfavorofaresolutionforittopass.Whatisthegreatestnumberofmemberswhocouldvoteagainsttheresolutionandstillhaveitpass?

（A）19

（B）17

（C）16

（D）14

（E）13

23.Afterdrivingtoariverfrontparkinglot,Bobplanstorunsouthalongtheriver,turnaround,andreturntotheparkinglot,runningnorthalongthesamepath.Afterrunning3.25milessouth,hedecidestorunforonly50minutesmore.IfBobrunsataconstantrateof8minutespermile,howmanymilesfarthersouthcanherunandstillbeabletoreturntotheparkinglotin50minutes?

（A）1.5

（B）2.25

（C）3.0

（D）3.25

（E）4.75

24.Workingsimultaneouslyattheirrespectiveconstantrates,MachinesAandBproduce800nailsinxhours.Workingaloneatitsconstantrate,MachineAproduces800nailsinyhours.Intermsofxandy,howmanyhoursdoesittakeMachineB,workingaloneatitsconstantrate,toproduce800nails?

（A）x/（x+y）

（B）y/（x+y）

（C）xy/（x+y）

（D）xy/（x-y）

（E）xy/（y-x）

25.IntheJohnsons’monthlybudget,thedollaramountsallocatedtohouseholdexpenses,food,andmiscellaneousitemsareintheratio5:

2:

1,respectively.Ifthetotalamountallocatedtothesethreecategoriesis$1,800,whatistheamountallocatedtofood?

（A）$900

（B）$720

（C）$675

（D）$450

（E）$225

26.Leonaboughta1-year,$10,000certificateofdepositthatpaidinterestatanannualrateof8percentcompoundedsemiannually.Whatwasthetotalamountofinterestpaidonthiscertificateatmaturity?

（A）$10,464

（B）$864

（C）$816

（D）$800

（E）$480

27.MachineAproducesboltsatauniformrateof120every40seconds,andMachineBproducesboltsatauniformrateof100every20seconds.Ifthetwomachinesrunsimultaneously,howmanysecondswillittakeforthemtoproduceatotalof200bolts?

（A）22

（B）25

（C）28

（D）32

（E）56

28.ThetotalcostforCompanyXtoproduceabatchoftoolsis$10,000plus$3pertool.Eachtoolsellsfor$8.Thegrossprofitearnedfromproducingandsellingthesetoolsisthetotalincomefromsalesminusthetotalproductioncost.Ifabatchof20,000toolsisproducedandsold,thenCompanyX’sgrossprofitpertoolis

（A）$3.00

（B）$3.75

（C）$4.50

（D）$5.00

（E）$5.50

29.Adealeroriginallybought100identicalbatteriesatatotalcostof100dollars.Ifeachbatterywassoldat50percentabovetheoriginalcostperbattery,then,intermsofq,forhowmanydollarswaseachbatterysold?

（A）3q/200

（B）3q/2

（C）150q

（D）q/100+50

（E）150/q

30.Astorereportedtotalsalesof$385millionforFebruaryofthisyear.Ifthetotalsalesforthesamemonthlastyearwas$320million,approximatelywhatwasthepercentincreaseinsales?

（A）2%

（B）17%

（C）20%

（D）65%

（E）83%

31.Inacertaincity,60percentoftheregisteredvotersareDemocratsandtherestareRepublicans.Inamayoralrace,if75percentoftheregisteredvoterswhoareDemocratsand20percentoftheregisteredvoterswh