Ifmisanintegersuchthat(-2)2m=29–m,thenm=(A)1(B)2(C)3(D)4(E)67。If0≦x≦4andy<12,whichofthefollowingCANNOTbethevalueofxy?(A)–2(B)0(C)6(D)24(E)488。Inthefigureabove,Vrepresentsanobservationpointatoneendofapool。FromV,anobjectthatisactuallylocatedonthebottomofthepoolatpointRappearstobeatpointS。IfVR=10feetwhatisthedistanceRS,infeet,betweentheactualpositionandtheperceivedpositionoftheobject?(A)3510−(B)2510−(C)2(D)212(E)49。
IfthetotalpayrollexpenseofacertainbusinessinyearYwas$84,000,whichwas20percentmorethaninyearX,whatwasthetotalpayrollexpenseinyearX?(A)$70,000(B)$68,320(C)$64,000(D)$60,000(E)$52,32010。Ifa,b,andc,areconsecutivepositiveintegersanda<b<cwhichofthefollowingmustbetrue?Ⅰ。c–a=2Ⅱ。abcisaneveninteger。Ⅲ。3cba++isaninteger。(A)Ⅰonly(B)Ⅱonly(C)ⅠandⅡonly(D)ⅡandⅢonly(E)Ⅰ,ⅡandⅢ11。Astraightpipe1yardinlengthwasmarkedoffinfourthsandalsointhirds。
Ifthepipewasthencutintoseparatepiecesateachofthesemarkings,whichofthefollowinggivesallthedifferentlengthsofthepieces,infractionsofayard?(A)only41and61(B)only31and41(C)31and41,61(D)41and61,121(E)31and61,121GMAT数学PROBLEMSOLVING3412。Whatistheleastintegerthatisasumofthreedifferentprimeseachgreaterthan20?(A)69(B)73(C)75(D)79(E)8313。Atouristpurchasedatotalof$1,500worthoftraveler’schecksin$10and$50denominations,Duringthetripthetouristcashed7checksandthenlostalloftherest。

Ifthenumberof$10checkscashedwasonemoreoronelessthanthenumberof$50checkscashed,whatistheminimumpossiblevalueofthechecksthatwerelost?(A)$1,430(B)$1,310(C)$1,290(D)$1,270(E)$1,15014。IfthecircleabovehascenterOandcircumference18π,thentheperimeterofsectorRSTOis(A)3π+9(B)3π+18(C)6π+9(D)6π+18(E)6π+2415。Ifeachofthefollowingfractionswerewrittenasarepeatingdecimal,whichwouldhavethelongestsequenceofdifferentdigits?(A)112(B)31(C)9941(D)32(E)372316。
TodayRoseistwiceasoldasSamandSamis3yearsyoungerthanTina。IfRose,Sam,andTinaareallalive4yearsfromtoday,whichofthefollowingmustbetrueonthatday?Ⅰ。RoseistwiceasoldasSam。Ⅱ。Samis3yearsyoungerthanTina。Ⅲ。RoseisolderthanTina。(A)Ⅰonly(B)Ⅱonly(C)Ⅲonly(D)ⅠandⅡ(E)ⅡandⅢ17。Ifkandwarethedimensionsofarectanglethathasarea42,andifkandwareintegerssuchthatk>w,whatisthetotalnumberofpossiblevaluesofk?(A)Two(B)Three(C)Four(D)Five(E)Six18。
Rcampersfishedfor3hours。Ifmofthecamperscaught2fishapieceandtherestcaughtacombinedtotalofnfish,howmanyfishdidtheRcamperscatchperhour?(A))(2mRnm−+(B)3)(2mRnm−+GMAT数学PROBLEMSOLVING35(C)3)(2Rmnm−+(D)32nm+(E)Rnm+219。Lastyeartheannualpremiumonacertainhospitalizationinsurancepolicywas$408,andthepolicypaid80percentofanyhospitalexpensesincurred。Iftheamountpaidbytheinsurancepolicylastyearwasequaltotheannualpremiumplustheamountofhospitalexpensesnotpaidbythepolicy,whatwasthetotalamountofhospitalexpenseslastyear?(A)$850。
00(B)$680。00(C)$640。00(D)$510。00(E)$326。4020。Theaverage(arithmeticmean)ofthreenumbersis3x+2。Ifoneofthenumbersisx,whatistheaverageoftheothertwonumbers?(A)x+1(B)2x+2(C)4x+1(D)4x+3(E)8x+6SECTION1330Minutes20Questions1。Theaverage(arithmeticmean)of6,8,and10equalstheaverageof7,9,and(A)5(B)7(C)8(D)9(E)112。Inthefigureabove,thecoordinatesofpointVare(A)(-7,5)(B)(-5,7)(C)(5,7)(D)(7,5)(E)(7,-5)3。
Ticketsforallbut100seatsina10,000-seatstadiumweresold。Oftheticketssold,20percentweresoldathalfpriceandtheremainingticketsweresoldatthefullpriceof$2。Whatwasthetotalrevenuefromticketsales?(A)$15,840(B)$17,820(C)$18,000(D)$19,800(E)$21,7804。Inamayoralelection,CandidateXreceived31morevotesthanCandidateY,andCandidateYreceived41fewervotesthanCandidateZ。IfCandidateZreceived24,000votes,howmanyvotesdidCandidateXreceive?(A)18,000(B)22,000(C)24,000GMAT数学PROBLEMSOLVING36(D)26,000(E)32,0005。
Reneearns$8。50perhourondaysotherthanSundaysandtwicethatrateonSundays。Lastweeksheworkedatotalof40hours,including8houronSunday。Whatwereherearningsfortheweek?(A)$272(B)$340(C)$398(D)$408(E)$4766。Inashipmentof120machineparts,5percentweredefective。Inashipmentof80machineparts,10percentweredefective。Forthetwoshipmentscombined,whatpercentofthemachinepartsweredefective?(A)6。5%(B)7。0%(C)7。5%(D)8。0%(E)8。5%7。=−−5332321532(A)16(B)14(C)3(D)1(E)–18。
Ifx=-1,then=−+−1234xxxx(A)23−(B)21−(C)0(D)21(E)239。WhichofthefollowingequationsisNOTequivalentto25x2=y2–4?(A)22425yx=+(B)1237522−=yx(C))2)(2(252−+=yyx(D)25−=yx(E)25422−=yx10。Atoystoreregularlysellsallstockatadiscountof20percentto40percent。Ifanadditional25percentweredeductedfromthediscountpriceduringaspecialsale,whatwouldbethelowestpossiblepriceofatoycosting$16beforeanydiscount?(A)$5。
60(B)$7。20(C)$8。80(D)$9。60(E)$15。2011。Ifthereare664,579primenumbersamongthefirst10millionpositiveintegers,approximatelywhatpercentofthefirst10millionpositiveintegersareprimenumbers?(A)0。0066%(B)0。066%(C)0。66%(D)6。6%(E)66。Abankcustomerborrowed$10,000,butreceivedydollarslessthanthisduetodiscounting。Iftherewasaseparate$25servicecharge,then,intermsofy,theservicechargewaswhatfractionoftheamountthatthecustomerreceived?(A)y−000,1025GMAT数学PROBLEMSOLVING37(B)y25000,1025−(C)yy−000,1025(D)yy−−000,1025(E))25(000,1025−−y13。
AnairlinepassengerisplanningatripthatinvolvesthreeconnectingflightsthatleavefromAirportsA,B,andC,respectively。ThefirstflightleavesAirportAeveryhourremainder section,beginningat8:00a。m。,andarrivesatAirportB212hourslater。ThesecondflightleavesAirportBevery20minutes,beginningat8:00a。m。,andarrivesatAirportC611hourslater。ThethirdflightleavesAirportCeveryhour,beginningat8:45a。m。Whatistheleasttotalamountoftimethepassengermustspendbetweenflightsifallflightskeeptotheirschedules?(A)25min(B)1hr5min(C)1hr15min(D)2hr20min(E)3hr40min14。
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