新GRE数学真题(OG+机经)

1.y=2x2+7x–3xy2.Thefigureaboveshowsthegraphofafunctionf,definedbyf(x)=|2x|+4forallnumbersx.Forwhichofthefollowingfunctionsgdefinedforallnumbersxdoesthegraphofgintersectthegraphoff?Ag(x)x–2Bg(x)x3Cg(x)2x–2Dg(x)2x3Eg(x)3x–23.EachemployeeofacertaincompanyisineitherDepartmentXorDepartmentY,andtherearemorethantwiceasmanyemployeesinDepartmentXasinDepartmentY.Theaverage(arithmeticmean)salaryis$25,000fortheemployeesinDepartmentXandis$35,000fortheemployeesinDepartmentY.Whichofthefollowingamountscouldbetheaveragesalaryforalloftheemployeesinthecompany?Indicateallsuchamounts.A$26,000B$28,000C$29,000D$30,000E$31,000F$32,000G$34,0004.Workingaloneatitsconstantrate,machineAproduceskcarpartsin10minutes.Workingaloneatitsconstantrate,machineBproduceskcarpartsin15minutes.HowmanyminutesdoesittakemachinesAandB,workingsimultaneouslyattheirrespectiveconstantrates,toproducekcarparts?____________minutes5.1)IfthedollaramountofsalesatStorePwas$800,000for2006,whatwasthedollaramountofsalesatthatstorefor2008?A$727,200B$792,000C$800,000D$880,000E$968,0002)AtStoreT,thedollaramountofsalesfor2007waswhatpercentofthedollaramountofsalesfor2008?Giveyouranswertothenearest0.1percent.___________%3)Whichofthefollowingstatementsmustbetrue?Indicateallsuchstatements.AFor2008thedollaramountofsalesatStoreRwasgreaterthanthatateachoftheotherfourstores.BThedollaramountofsalesatStoreSfor2008was22percentlessthanthatfor2006.CThedollaramountofsalesatStoreRfor2008wasmorethan17percentgreaterthanthatfor2006.6.Acertainstoresellstwotypesofpens:onetypefor$2perpenandtheothertypefor$3perpen.Ifacustomercanspendupto$25tobuypensatthestoreandthereisnosalestax,whatisthegreatestnumberofpensthecustomercanbuy?A9B10C11D12E207.Alistofnumbershasameanof8andastandarddeviationof2.5.Ifxisanumberinthelistthatis2standarddeviationsabovethemean,whatisthevalueofx?x=______8.FrequencyDistributionforListXNumber1235Frequency10201812FrequencyDistributionforListYNumber6789Frequency2417109ListXandlistYeachcontain60numbers.Frequencydistributionsforeachlistaregivenabove.Theaverage(arithmeticmean)ofthenumbersinlistXis2.7,andtheaverageofthenumbersinlistYis7.1.ListZcontains120numbers:the60numbersinlistXandthe60numbersinlistY.QuantityAQuantityBTheaverageofthe120numbersinlistZThemedianofthe120numbersinlistZ9.Thefigureaboveshowsthegraphofthefunctionfinthexy-plane.Whatisthevalueoff(f(–1))?A–2B–1C0D1E210.Byweight,liquidAmakesup8percentofsolutionRand18percentofsolutionS.If3gramsofsolutionRaremixedwith7gramsofsolutionS,thenliquidAaccountsforwhatpercentoftheweightoftheresultingsolution?A10%B13%C15%D19%E26%11.Ofthe700membersofacertainorganization,120arelawyers.Twomembersoftheorganizationwillbeselectedatrandom.Whichofthefollowingisclosesttotheprobabilitythatneitherofthemembersselectedwillbealawyer?A0.5B0.6C0.7D0.8E0.912.Linekliesinthexy-plane.Thex-interceptoflinekis–4,andlinekpassesthroughthemidpointofthelinesegmentwhoseendpointsare(2,9)and(2,0).Whatistheslopeoflinek?Giveyouranswerasafraction._______13.Inthecourseofanexperiment,95measurementswererecorded,andallofthemeasurementswereintegers.The95measurementswerethengroupedinto7measurementintervals.Thegraphaboveshowsthefrequencydistributionofthe95measurementsbymeasurementinterval.QuantityAQuantityBTheaverage(arithmeticThemedianofthe95mean)ofthe95measurementsMeasurements14.TherandomvariableXisnormallydistributed.Thevalues650and850areatthe60thand90thpercentilesofthedistributionofX,respectively.QuantityAQuantityBThevalueatthe75th750percentileofthedistributionofX15.If1+x+x2+x3=60,thentheaverage(arithmeticmean)ofx,x2,x3,andx4isequaltowhichofthefollowing?A12xB15xC20xD30xE60x16.ParallelogramOPQRliesinthexy-plane,asshowninthefigureabove.ThecoordinatesofpointPare(2,4)andthecoordinatesofpointQare(8,6).WhatarethecoordinatesofpointR?A(3,2)B(3,3)C(4,4)D(5,2)E(6,2)17.LetSbethesetofallpositiveintegersnsuchthatn2isamultipleofboth24and108.WhichofthefollowingintegersaredivisorsofeveryintegerninS?Indicateallsuchintegers.A12B24C36D7218.Therangeoftheheightsofthefemalestudentsinacertainclassis13.2inches,andtherangeoftheheightsofthemalestudentsintheclassis15.4inches.Whichofthefollowingstatementsindividuallyprovide(s)sufficientadditionalinformationtodeterminetherangeoftheheightsofallthestudentsintheclass?Indicateallsuchstatements.AThetallestmalestudentintheclassis5.8inchestallerthanthetallestfemalestudentintheclass.BThemedianheightofthemalestudentsintheclassis1.1inchesgreaterthanthemedianheightofthefemalestudentsintheclass.CTheaverage(arithmeticmean)heightofthemalestudentsintheclassis4.6inchesgreaterthantheaverageheightofthefemalestudentsintheclass.19.ArandomvariableYisnormallydistributedwithameanof200andastandarddeviationof10.QuantityAQuantityBTheprobabilityoftheevent1/6thatthevalueofYisgreaterthan22020.Inagraduatingclassof236students,142tookalgebraand121tookchemistry.Whatisthegreatestpossiblenumberofstudentsthatcouldhavetakenbothalgebraandchemistry?__________students21.ThetotalamountthatMarypaidforabookwasequaltothepriceofthebookplusasalestaxthatwas4percentofthepriceofthebook.