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,MathAfamily-sizeboxofcerealcontainsmorecerealandcostsmorethantheregular-sizeboxof Whatisthecostperounceofthefamily-sizeboxofcereal?Thefamily-sizeboxofcerealcontains10ouncesmorethantheregular-sizeboxofThefamily-sizeboxofcerealcostsStatement(1)ALONEissufficient,butstatement(2)aloneisnotStatement(2)ALONEissufficient,butstatement(1)aloneisnotBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEisEACHstatementALONEisStatements(1)and(2)TOGETHERareNOTAcertainrollercoasterhas3cars,andapassengerisequallylikelytorideinany1ofthe3carseachtimethatpassengerridestherollercoaster.Ifacertainpassengeristoridetherollercoaster3times,whatistheprobabilitythatthepassengerwillrideineachofthe3cars?01Ifxandyarepositive,is4x>x>y-x/y<Statement(1)ALONEissufficient,butstatement(2)aloneisnotStatement(2)ALONEissufficient,butstatement(1)aloneisnotBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEisEACHstatementALONEisStatements(1)and(2)TOGETHERareNOTIfnistheproductoftheintegersfrom1to20inclusive,whatisthegreatestintegerkforwhich2kisafactorofn?Isx>2x•2k=9x•3k=Statement(1)ALONEissufficient,butstatement(2)aloneisnotStatement(2)ALONEissufficient,butstatement(1)aloneisnotBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEisEACHstatementALONEisStatements(1)and(2)TOGETHERareNOTIfxandyarepositive,whatisthevalueofx–(x2–y2)/(x+y)=x+y=Statement(1)ALONEissufficient,butstatement(2)aloneisnotStatement(2)ALONEissufficient,butstatement(1)aloneisnotBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEisEACHstatementALONEisStatements(1)and(2)TOGETHERareNOTAcircularmatwithdiameter20inchesisplacedonasquaretabletop,eachofwhosesidesis24incheslong. Whichofthefollowingisclosesttothefractionofthetabletopcoveredbythemat?In1997therewere300femaleemployeesatCompanyC.IfthenumberoffemaleemployeesatCompanyCincreasedby60percentfrom1977to1987,bywhatpercentdidthenumberoffemaleemployeesatCompanyCincreasefrom1987to1997?From1977to1997thenumberoffemaleemployeesincreasedby200percentatCompanyC.In1977therewere100femaleemployeesatCompanyStatement(1)ALONEissufficient,butstatement(2)aloneisnotStatement(2)ALONEissufficient,butstatement(1)aloneisnotBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEisEACHstatementALONEisatements(1)and(2)TOGETHERareNOTAgardenerisgoingtoplant2redrosebushesand2whiterosebushes.Ifthegardeneristoselecteachofthebushesatrandom,oneatatime,andplanttheminarow,whatistheprobabilitythatthe2rosebushesinthemiddleoftherowwillbetheredrosebushes?6532Asetofnumbershasthepropertythatforanynumbertintheset,t+2isintheset.If–1isintheset,whichofthefollowingmustalsobeintheset? - ndIIandIIIII,andInacorporation,50percentofthemaleemployeesand40percentofthefemaleemployeesareatleast35yearsold.If42percentofalltheemployeesareatleast35yearsold,whatfractionoftheemployeesinthecorporationarefemales?Ifnisanintegerand2<n<6,whatisthevalueofnisafactorofnisafactorofStatement(1)ALONEissufficient,butstatement(2)aloneisnotStatement(2)ALONEissufficient,butstatement(1)aloneisnotBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEisEACHstatementALONEisStatements(1)and(2)TOGETHERareNOTIfxandyarepositive,is3x>x>y+-5x<-Statement(1)ALONEissufficient,butstatement(2)aloneisnotStatement(2)ALONEissufficient,butstatement(1)aloneisnotBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEisEACHstatementALONEisStatements(1)and(2)TOGETHERareNOTIf1050–74iswrittenasanintegerinbase10notation,whatisthesumofthedigitsinthatAnn,Carol,andJudypaidatotalof$45fortheirdinneratarestaurant. IfAnnpaid2/5ofthetotalamount,Carolpaid$17,andJudypaidtherest,whatfractionofthetotalamountdidJudypay?IfJ,S,andVarepointsonthenumberline,whatisthedistancebetweenSandThedistancebetweenJandSisThedistancebetweenJandVisStatement(1)ALONEissufficient,butstatement(2)aloneisnotStatement(2)ALONEissufficient,butstatement(1)aloneisnotBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEisEACHstatementALONEisStatements(1)and(2)TOGETHERareNOTInTownX,64percentofthepopulationareemployed,and48percentofthepopulationareemployedmales. WhatpercentoftheemployedpeopleinTownXarefemales?xxThefigureshowsasquarepatiosurroundedbyawalkwayofwidthxmeters.Iftheareaofthewalkwayis132squaremetersandthewidthofthepatiois5metersgreaterthanthewidthofthewalkway,whatistheareaofthepatio,insquaremeters?Atotalof$60,000wasinvestedforoneyear.Butofthisamountearnedsimpleannualinterestattherateofxpercentperyear,andtherestearnedsimpleannualinterestattherateofypercentperyear.Ifthetotalinterestearnedbythe$60,000forthatyearwas$4,080,whatisthevalueofx=(3/4)Theratiooftheamountthatearnedinterestattherateofxpercentperyeartotheamountthatearnedinterestattherateofypercentperyearwas3to2.Statement(1)ALONEissufficient,butstatement(2)aloneisnotStatement(2)ALONEissufficient,butstatement(1)aloneisnotBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEisEACHstatementALONEisStatements(1)and(2)TOGETHERareNOTIfx>0,then1/[√(2x)+√x]WhenLeoimportedacertainitem,hemadea7percentimporttaxontheportionofthetotalvalueoftheiteminexcessof$1,000.IftheamountoftheimporttaxthatLeopaidwas$87.50,whatwasthetotalvalueoftheitem?Inthesequence1,2,4,8,16,32,…,eachtermafterthefirstistwicethepreviousterm.Whatisthesumofthe16th,17th,and18thtermsinthesequence?Inthexy-plane,point(r,s)liesonacirclewithcenteratthe Whatisthevalueofr2+ThecirclehasradiusThepoint(√2,-√2)liesontheStatement(1)ALONEissufficient,butstatement(2)aloneisnotStatement(2)ALONEissufficient,butstatement(1)aloneisnotBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEisEACHstatementALONEisStatements(1)and(2)TOGETHERareNOTIfwandcareintegers,isw>w+c>c>Statement(1)ALONEissufficient,butstatement(2)aloneisnotStatement(2)ALONEissufficient,butstatement(1)aloneisnotBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEisEACHstatementALONEisStatements(1)and(2)TOGETHERareNOTAphotographerwillarrange6peopleof6differentheightsforphotographbyplacingthemintworowsofthreesothateachpersoninthefirstrowisstandinginfrontofsomeoneinthesecondrow.Theheightsofthepeoplewithineachrowmustincreasefromlefttoright,andeachpersoninthesecondrowmustbetallerthanthepersonstandinginfrontofhimorher.Howmanysucharrangementsofthe6peoplearepossible?569Runningattheirrespectiveconstantrates,machineXtakes2dayslongertoproducewwidgetsthanmachineY.Attheserates,ifthetwomachinestogetherproduce5/4wwidgetsin3days,howmanydayswouldittakemachineXalonetoproduce2wwidgets?468Ifn=811–8,whatistheunitsdigitof01468Foranypositiveintegern,thesumofthefirstnpositiveintegersequals[n(n+1)]/2.Whatisthesumofalltheevenintegersbetween99and301?June25,1982,fellonaFriday.OnwhichdayoftheweekdidJune25,1987,fall?(Note:1984wasaleapyear.)Joannaboughtonly$0.15stampsand$0.29stamps.Howmany$0.15stampsdidsheShebought$4.40worthofSheboughtanequalnumberof$0.15stampsand$0.29Statement(1)ALONEissufficient,butstatement(2)aloneisnotStatement(2)ALONEissufficient,butstatement(1)aloneisnotBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEisEACHstatementALONEisStatements(1)and(2)TOGETHERareNOTApositiveintegernissaidtobe“prime-saturated”iftheproductofallthedifferentpositiveprimefactorsofnislessthanthesquarerootofn.Whatisthegreatesttwo-digitprime-saturatedForaconvention,ahotelchargesadailyroomrateof$120for1personandxdollarsforeachadditionalperson. Whatisthechargeforeachadditionalperson?Thedailycostperpersonfor4peoplesharingthecostofaroomequallyisThedailycostperpersonfor2peoplesharingthecostofaroomequallyis$25morethanthecorrespondingcostfor4people.Statement(1)ALONEissufficient,butstatement(2)aloneisnotStatement(2)ALONEissufficient,butstatement(1)aloneisnotBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEisEACHstatementALONEisStatements(1)and(2)TOGETHERareNOTIsxy>xy>y<Statement(1)ALONEissufficient,butstatement(2)aloneisnotStatement(2)ALONEissufficient,butstatement(1)aloneisnotBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEisEACHstatementALONEisStatements(1)and(2)TOGETHERareNOTThefunctionfisdefinedbyf(x)=-1/xforallnonz
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