setion 5 quantative reasoning

setion 5 quantative reasoning

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时间:2019-07-09

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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.

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