GMAT真题6

1MathSection------------------------------------------------------------------------------------------------------------Q1:Acertaincompany’sprofitin1996was15percentgreaterthanitsprofitin1995,anditsprofitin1997was20percentgreaterthanitsprofitin1996.Thecompany’sprofitin1997waswhatpercentgreaterthanitsprofitin1995?A.5%B.18%C.33%D.35%E.38%Answer:------------------------------------------------------------------------------------------------------------Q2:Ifeverycarsoldlastweekatacertainused-cardealershipwaseitheracoupeorasedan,whatwastheaverage(arithmeticmean)salepriceforallthecarsthatweresoldatthedealershiplastweek?(1)Theaveragesalepriceforthesedansthatweresoldatthedealershiplastweekwas$10,600.(2)Theaveragesalepriceforthecoupesthatweresoldatthedealershiplastweekwas$8,400.A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.Answer:------------------------------------------------------------------------------------------------------------Q3:Pat,Kate,andMarkchargedatotalof162hourstoacertainproject.IfPatchargedtwiceasmuchtimetotheprojectasKateand1/3asmuchtimeasMark,howmanymorehoursdidMarkchargetotheprojectthanKate?A.18B.36C.72D.90E.108Answer:------------------------------------------------------------------------------------------------------------Q4:Whatisthegreatestprimefactorof2100-296?2A.2B.3C.5D.7E.11Answer:------------------------------------------------------------------------------------------------------------Q5:Ifb,c,anddareconstantsandx2+bx+c=(x+d)2forallvaluesofx,whatisthevalueofc?(1)d=3(2)b=6A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.Answer:------------------------------------------------------------------------------------------------------------Q6:Ifa,b,k,andmarepositiveintegers,isakafactorofbm?(1)aisafactorofb.(2)k≤mA.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.Answer:------------------------------------------------------------------------------------------------------------Q7:Acertainuniversitywillselect1of7candidateseligibletofillapositioninthemathematicsdepartmentand2of10candidateseligibletofill2identicalpositionsinthecomputersciencedepartment.Ifnoneofthecandidatesiseligibleforapositioninbothdepartments,howmanydifferentsetsof3candidatesaretheretofillthe3positions?A.42B.70C.140D.165E.315Answer:3------------------------------------------------------------------------------------------------------------Q8:RSTQUPVWNote:Figurenotdrawntoscale.Inthefigureabove,theareaofsquareregionPRTVis81,andtheratiooftheareaofsquareregionXSTUtotheareaofsquareregionPQXWis1to4.WhatisthelengthofsegmentRS?A.5B.5.5C.6D.6.5E.7Answer:------------------------------------------------------------------------------------------------------------Q9:Iftheaverage(arithmeticmean)offourdifferentnumbersis30,howmanyofthenumbersaregreaterthan30?(1)Noneofthefournumbersisgreaterthan60.(2)Twoofthefournumbersare9and10,respectively.A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.Answer:------------------------------------------------------------------------------------------------------------Q10:Ifeachofthestudentsinacertainmathematicsclassiseitherajuniororasenior,howmanystudentsareintheclass?(1)Ifonestudentistobechosenatrandomfromtheclasstoattendaconference,theprobabilitythatthestudentchosenwillbeasenioris4/7.(2)Thereare5moreseniorsintheclassthanjuniors.X4A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.Answer:------------------------------------------------------------------------------------------------------------Q11:Note:Notdrawntoscale.Arectangularpictureissurroundedbyaboarder,asshowninthefigureabove.Withouttheboarderthelengthofthepictureistwiceitswidth.Iftheareaoftheboarderis196squareinches,whatisthelength,ininches,ofthepicture,excludingtheboarder?A.10B.15C.30D.40E.60Answer:--------------------------------------------------------------------------