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1、GREPracticeTestSECTION5QuantitativeReasoning25QuestionswithExplanationsAQuantityAisgreater.BQuantityBisgreater.CThetwoquantitiesareequal.DTherelationshipcannotbedeterminedfromtheinformationgiven.x3O34Oisthecenterofthecircleabove.QuantityAQuantityB1.x5ABCDEx
2、planationInthisquestionyouareaskedtocomparexwith5,wherexisthelengthofalinesegmentfromthecenterofthecircletoapointinsidethecircle.Inacircletheeasiestlinesegmentstodealwitharetheradiusandthediameter.Lookingatthefigureinthequestion,youcanseethatyoucandrawtworadii,e
3、achofwhich“completes”arighttriangle,asshowninthefigurebelow.3xrO3r4Sinceinoneofthetriangles,thelengthsofbothlegsareknown,youcanusethattriangletodeterminethelengthoftheradiusofthecircle.Thetrianglehaslegsoflength3and4.Ifthelengthoftheradiusisr,then,usingthePythag
4、oreantheorem,youcanseethat222r34or2r916or2r25,andthus,r5Sincethelengthoftheradiusofthecircleis5andthelinesegmentoflengthxisclearlyshorterthantheradius,youknowthatx5,andthecorrectanswerisChoiceB.Youcouldalsoseethatthetwotrianglesarecongruent,andsox4,agai
5、nyieldingChoiceB.398AnswersandExplanations4RunnerArankilometerandRunnerBran800meters.5QuantityAQuantityB2.ThedistancethatAranThedistancethatBranABCDExplanationInthisquestionyouareaskedtocomparetwomeasurements,onegiveninkilometersandtheotherinmeters.Itwouldbeeas
6、iertocomparethesemeasurementsiftheywerebothgiveninmetersorbothgiveninkilometers.IfyouchoosetoconvertthedistancethatRunnerBranfrommetersto1kilometers,youneedtousetheconversion1meterisequaltokilometer.1,00014SinceBran800meters,itfollowsthatBran(800),orkilometer
7、,which1,0005isthesamedistancethatAran.IfyouchoosetoconvertthedistancethatRunnerAranfromkilometerstometers,youneedtousetheconversion1kilometerisequalto1,000meters.44SinceArankilometer,itfollowsthatAran(1,000),or800meters,whichis55thesamedistancethatBran.Either
8、way,AandBranthesamedistance,andthecorrectanswerisChoiceC.xyzQuantityAQuantityB3.xyzyABCD3ExplanationInthisquestionyouaregiventhatxyz,andyouareaskedtocomparexyzwithy.