
Theshadedportionoftherectangularlotshownaboverepresentsaflowerbed。Iftheareaofthebedis24squareyardsandx=y+2,thenzequals(A)13(B)132(C)6(D)8(E)1015。Howmanymultiplesof4aretherebetween12and96,inclusive?(A)21(B)22(C)23(D)24(E)2516。Jackisnow14yearsolderthanBill。Ifin10yearsJackwillbetwiceasoldasBill,howoldwillJackbein5years?(A)9(B)19(C)21(D)23(E)3317。InTownshipK,51ofthehousingunitsareequippedwithcabletelevision。
If101ofthehousingunits,including31ofthosethatareequippedwithcabletelevision,areequippedwithvideocassetterecorders,whatfractionofthehousingunitshaveneithercabletelevisionnorvideocassetterecorders?(A)3023(B)1511(C)107(D)61(E)152GMAT数学PROBLEMSOLVING3818。SetSconsistsofndistinctpositiveintegers,noneofwhichisgreaterthan12。WhatisthegreatestpossiblevalueofnifnotwointegersinShaveacommonfactorgreaterthan1?(A)4(B)5(C)6(D)7(E)1119。
Inacertaincontest,Fredmustselectany3of5differentgiftsofferedbythesponsor。Fromhowmanydifferentcombinationsof3giftscanFredmakehisselection?(A)10(B)15(C)20(D)30(E)6020。IfthenumberofsquareunitsintheareaofcircleCistwicethenumberoflinearunitsinthecircumferenceofC,whatisthenumberofsquareunitsinthearea?(A)4(B)8(C)4π(D)8π(E)16πSECTION1430Minutes20Questions1。InCountryXareturningtouristmayimportgoodswithatotalvalueof$500orlesstaxfree,butmustpayan8percenttaxontheportionofthetotalvalueinexcessof$500。
Whattaxmustbepaidbyareturningtouristwhoimportsgoodswithatotalvalueof$730?(A)$58。40(B)$40。00(C)$24。60(D)$18。40(E)$16。002。Whichofthefollowingisgreaterthan32?(A)5033(B)118(C)53(D)2713(E)853。Arope40feetlongiscutintotwopieces。Ifonepieceis18feetlongerthantheother,whatisthelength,infeet,oftheshorterpiece?(A)9(B)11(C)18(D)22(E)294。If60percentofarectangularflooriscoveredbyarectangularrugthatis9feetby12feet,whatisthearea,insquarefeet,ofthefloor?(A)65(B)108GMAT数学PROBLEMSOLVING39(C)180(D)270(E)3005。
TheEarthtravelsaroundtheSunataspeedofapproximately18。5milespersecond。Thisapproximatespeedishowmanymilesperhour?(A)1,080(B)1,160(C)64,800(D)66,600(E)3,996,0006。Acollectionofbookswentonsale,and32ofthemweresoldfor$2。50each。Ifnoneofthe36remainingbooksweresold,whatwasthetotalamountreceivedforthebooksthatweresold?(A)$180(B)$135(C)$90(D)$60(E)$547。If“basispoints”aredefinedsothat1percentisequalto100basispoints,then82。
5percentishowmanybasispointsgreaterthan62。5percent?(A)0。02(B)0。2(C)20(D)200(E)2,0008。Theamountsoftimethatthreesecretariesworkedonaspecialprojectareintheratioof1to2to5。Iftheyworkedacombinedtotalof112hours,howmanyhoursdidthesecretarywhoworkedthelongestspendontheproject?(A)80(B)70(C)56(D)16(E)149。Ifthequotientbaispositive,whichofthefollowingmustbetrue?(A)a>0(B)b>0(C)ab>0(D)a–b>0(E)a+b>010。
If82x+3=23x+6,thenx=(A)–3(B)–1(C)0(D)1(E)311。Ofthefollowing,theclosestapproximationtois79。15)5。601(98。5(A)5(B)15(C)20(D)25(E)22512。WhichofthefollowingCANNOTbethegreatestcommondivisoroftwopositiveintegersxandy?(A)1(B)x(C)y(D)x–y(E)x+y13。Anemptypoolbeingfilledwithwaterataconstantratetakes8hourstofillto53ofitscapacity。Howmuchmoretimewillittaketofinishfillingthepool?(A)5hr30min(B)5hr20min(C)4hr48min(D)3hr12min(E)2hr40minGMAT数学PROBLEMSOLVING4014。
Apositivenumberxismultipliedby2,andthisproductisthendividedby3。Ifthepositivesquarerootoftheresultofthesetwooperationsequalsx,whatisthevalueofx?(A)49(B)23(C)34(D)32(E)2115。Atankcontains10,000gallonsofasolutionthatis5percentsodiumchloridebyvolume。If2,500gallonsofwaterevaporatefromthetank,theremainingsolutionwillbeapproximatelywhatpercentsodiumchloride?(A)1。25%(B)3。75%(C)6。25%(D)6。67%(E)11。7。Acertaingrocerypurchasedxpoundsofproduceforpdollarsperpound。
Ifypoundsoftheproducehadtobediscardedduetospoilageandthegrocerysoldtherestforsdollarsperpound,whichofthefollowingrepresentsthegrossprofitonthesaleoftheproduce?(A)(x-y)s–xp(B)(x-y)p–ys(C)(s–p)y–xp(D)xp–ys(E)(x–y)(s–p)17。NOTSCORED18。Thehexagonalfaceoftheblockshowninthefigureabovehassidesofequallengthandanglesofequalmeasure。Ifeachlateralfaceisrectangular,whatisthearea,insquareinches,ofonelateralface?(A)102(B)12(C)20(D)312(E)2419。
Ifw,x,y,andzareon-negativeintegers,eachlessthan3,andw(33)+x(32)+y(3)+z=34,thenw+z=(A)0(B)1(C)2(D)3(E)420。CarsXandYweretravelingtogetheronastraightroadataconstantspeedof55milesperhourwhencarXstoppedfor5minutes。IfcarYcontinuedtotravelat55milesperhour,howmanyminutesfromthetimethatcarXresumedtravelingdidittakecarXtravelingat60milesperhourtocatchupwithcarY?(AssumethatthetimeforcarXtoslowdownandspeedupwasnegligible。)(A)5(B)30(C)45(D)55(E)60
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