MathByVemuri_ CSAT 2013 Solved Paper (Paper-II)

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<ul><li><p>09/04/2015 MathByVemuri:CSAT2013SolvedPaper(paperII)</p><p>http://mathbyvemuri.blogspot.in/2013/05/csat2013solvedpaperpaperii.html 1/21</p><p>MathByVemuri</p><p>Home CONCEPTS PUZZLES MathinEveryDayLife GMAT/GRE CAT/Other CSAT/GATE</p><p>MONDAY,27MAY2013</p><p>CSAT2013SolvedPaper(paperII)1.Inararecoincollection,thereisonegoldcoinforeverythreenongoldcoins.10moregoldcoinsareaddedtothecollectionandtheratioofgoldcoinstonongoldcoinswouldbe1:2.Basedontheinformation,thetotalnumberofcoinsinthecollectionnowbecomes</p><p>(a)90(b)80(c)60(d)50Solution:Initialratio=G:N=1:3(1)Afteradding10goldcoins,theratiobecomes(10+G):N=1:2(2)Onsolving(1)&amp;(2),weget,G=20andN=60.Presently,thetotalnumberofcoinsinthecollection=(10+G)+N=10+20+60=90Ans:(a)</p><p>2.A gardenerhas 1000plants.Hewants toplant them in such away that thenumberofrowsandthenumberofcolumnsremainsthesame.Whatistheminimumnumberofplantsthatheneedsmoreforthispurpose?</p><p>(a)90(b)24(c)32(d)34Solution:Ifthenumberofrowsandnumberofcolumnsaretobeequal,thenthetotalnumberoftrees</p><p>will be in the form of x2, which is nothing but a perfect square. As 1000 is not a perfectsquare,weneedtocheckforaperfectsquareaboveandnearestto1000.Its1024,whichissquareof32.Soheneedstoadd24moretreestoget1024.Ans:(b)</p><p>3.ASumofRs700hastobeusedtogive7cashprizestothestudentofaschoolfortheiroverallacademicperformance.Ifeachprize isRs20lessthanitspreceding price,what istheleastvalueoftheprice?</p><p>(a)Rs30(b)Rs40(c)Rs60(d)Rs80Solution:LettheleastvaluepricebeX.ThenthenextvalueisX+20,andthenextvalueisX+40andonandonupto7values.ItsnothingbutanarithmeticProgressionwithsum700.X+X+20+X+40+X+120=700=&gt;7X+(20+40++120)=700=&gt;7X+20(1+2+3++6)=700=&gt;7X+20(21)=700=&gt;7X=280=&gt;X=40Ans:(b)</p><p>4.Outof120applicationsforapost70aremaleand80haveadriverslicense.Whatistheratiobetweentheminimumtomaximumnumberofmaleshavingdriverslicense?</p><p>(a)1to2(b)2to3(c)3to7(d)5to7Solution:70male=&gt;12070=50femaleForamaximum,all70maleshallhavedriverslicenseFor aminimum: If all 50 females posses drivers license, then the remaining 30 licensesshallbepossessedbymales.Sominimummaledriverslicenses=30Mintomax=30to70=3to7Ans:(c)</p><p>5. Inagarrison, therewas food for1000soldiers foronemonth.After10days, 1000moresoldiers joined the garrison. How long would the soldiers be able to carry on with theremainingfood?</p><p>GoogleGroups</p><p>MathByVemuriJointhisgrouptogetregularupdates</p><p>GOOGLEGROUP</p><p>SharethisonFacebookTweetthis</p><p>Viewstats</p><p>(NEW)Appointmentgadget&gt;&gt;</p><p>SHAREIT</p><p>LIVETRAFFIC</p><p>LiveTrafficFeed</p><p>RealtimeviewGetFeedjit</p><p>AvisitorfromTrivandrum,Keralaviewed"MathByVemuri:CSAT2013SolvedPaper(paperII)"10minsagoAvisitorfromBangalore,Karnatakaviewed"MathByVemuri:Numbers5(CAT2007)"25minsagoAvisitorfromJapanviewed"MathByVemuri:CSAT2013SolvedPaper(paperII)"42minsagoAvisitorfromTrivandrum,Keralaviewed"MathByVemuri:CSAT2013SolvedPaper(paperII)"51minsagoAvisitorfromTrichy,TamilNaduviewed"MathByVemuri:Progressions7(CAT2008)"1hr57minsagoAvisitorfromDelhiviewed"MathByVemuri:CSAT2013SolvedPaper(paperII)"1hr58minsagoAvisitorfromHyderabad,AndhraPradeshviewed"MathByVemuri:CSAT2013SolvedPaper(paperII)"2hrs13minsagoAvisitorfromBellary,Karnatakaviewed"MathByVemuri:DetailedsolutionsforcompetitiveexamforACIOGradeIIinIB"2hrs20minsagoAvisitorfromNagpur,Maharashtraviewed"MathByVemuri:CSAT2012solvedpaper(paperII)"2hrs45minsagoAvisitorfromJapanviewed"MathByVemuri:Puzzle34"3hrsago</p><p>FOLLOWERS</p><p>Follow 42</p><p>Viewmycompleteprofile</p><p>ABOUTMATHBYVEMURI</p><p>ExamsAndCareers</p><p>MYBLOGROLE</p><p>CSAT2013SolvedPaper(paperII)1.Inararecoincollection,thereisonegoldcoinforeverythreenongoldcoins.10moregoldcoinsareadded...</p><p>DetailedsolutionsforcompetitiveexamforACIOGradeIIinIBclickhereforusefulconceptsclickhereforpuzzlesAssistantCentralIntelligentOfficerGradeII(Exec)inInte...</p><p>GATE2013Solutions(GeneralAptitude)(CSIT/ME/PI)1.Atouristcovershalfofhisjourneybytrainat60km/h,halfoftheremainderbybusat30km/handtherestbycycleat10km/h.The...</p><p>Puzzle31(XAT2011)</p><p>TOP10POPULARPOSTSTHISWEEK</p><p>1 More NextBlog CreateBlog</p></li><li><p>09/04/2015 MathByVemuri:CSAT2013SolvedPaper(paperII)</p><p>http://mathbyvemuri.blogspot.in/2013/05/csat2013solvedpaperpaperii.html 2/21</p><p>(a)25days(b)20days(c)15days(d)10daysSolution:After10days,theremainingfoodwouldbesufficientforthe1000soldiersfor20moredays=&gt; If 1000more soldiers are added, it shall be sufficient for only 10 days (as the no. ofsoldiersisdoubled,thedaysarehalved)Ans:(d)</p><p>6.AtankfullpetrolinArunsmotorcyclelastfor10days.Ifhestartsusing25%moreeveryday,howmanydayswillthetankfullpetrollast?</p><p>(a)5(b)6(c)7(d)8Solution:Theanalogyislikethis:Arunhas10ltofpetrolandheuses1ltpereachdayandconsumesitin10days.Ifheuses1.25lteveryday,inhowmanydaysitwillbeconsumed?Weconsidered1.25ltherebecauseits25%morethan1lt.Theanswerwouldbe10/1.25=8Ans:(d)</p><p>7.Apersoncanwalkacertaindistanceanddrivebackin6hrs.Hecanalsowalkbothwaysin10hrs.Howmuchtimewillhetaketodrivebothways?</p><p>(a)Twohours(b)Twoandahalfhours(c)Fiveandahalfhours(d)FourhrsSolution:2waywalk=10hrs=&gt;1waywalk=5hrs1waywalk+1wayDrive=6hrs=&gt;1waydrive=65=1hrHence,2waydrive=2hrsAns:(a)</p><p>8.Considerthefollowingmatrix:</p><p>3 370 72 224 61 730 X</p><p>WhatisthenumberatXintheabovematrix?(a)5(b)8(c)9(d)11</p><p>Solution:</p><p>Consider2ndelementineachrow.Sumupthedigitsofeachnumber.3+7+0=102+2+4=87+3+0=10Nowredrawthetablelikethis:</p><p>3 10 72 8 61 10 X</p><p>Noweachrowfollowsthis:sumof1stand3rdelementsisequalto2ndelement.1+X=10=&gt;X=9Ans:(c)</p><p>9.Examinethefollowingthreefiguresinwhichthenumbersfollowaspecificpattern:84 81 8814 12 18 9 ? 11</p><p>Themissingnumber(?)inthethirdfigureaboveis(a)7(b)16(c)21(d)28</p><p>Solution:Observethefirsttwofigurescarefully:2*(84/12)=142*(81/9)=18Henceforthethirdfigure,2*(88/11)=X=&gt;X=2*8=&gt;X=16Ans:(b)</p><p>10.FourfriendsA,B,CandDdistributesomemoneyamongthemselvesinsuchamanner</p><p>JointhissitewithGoogleFriendConnect</p><p>Members(38) More</p><p>Alreadyamember?Signin</p><p>@mathbyvemuri</p><p>FACEBOOKFOLLOW</p><p>@mathbyvemuri</p><p>TWITTERFOLLOW</p><p>SUBSCRIBETO</p><p>Posts</p><p>Comments</p><p>October(93)November(86)December(27)January(9)February(3)March(2)April(2)May(11)September(4)October(4)November(3)December(2)January(8)February(3)May(3)June(1)August(2)</p><p>BLOGARCHIVE</p><p>AconceptproblemonQuadraticEquations3MistakesGMATIsoperimetricProblemsBigChangesonGREScoresInterviewcontentFinancebasicsGMAT"IntegratedReasoning",ThenewsectionRemainderTheoremByRaviHandaGMATNewFormat</p><p>USEFULLINKS</p><p>LifeandPhilosophySiteforlearningC</p><p>BLOGSIFOLLOW</p><p>On1stMarch,Timonarrivedinanewcityandwaslookingforaplacetostay.Hemetalandladywhoofferedtorentherapartmentatar...</p><p>CSAT2012solvedpaper(paperII)clickhereforusefulconceptsclickhereforpuzzlesQ1)MrKumardrivestoworkatanaveragespeedof48kmp...</p><p>GATE2012Solutions(GeneralAptitude)(EC/EE/NI)clickhereforusefulconceptsclickhereforpuzzlesQ1)Rajuhas14currencynotesinhispocketconsistingofonlyRs2...</p><p>GATE2013Solutions(GeneralAptitude)(EC/EE/IN)1.Acartravels8kminthefirstquarterofanhour,6kminthesecondquarterand16kminthethirdquarter.Theaveragespeedofthe...</p><p>StraightlinesdividingaplaneintomaximumnumberofregionsTofindmaximumnumberofregionsintowhichnstraightlinescandivideaplane:Maximumnumberofregionscanbeachievedwhenthe...</p><p>MyinterviewexperienceswithpremierIndianBschools</p></li><li><p>09/04/2015 MathByVemuri:CSAT2013SolvedPaper(paperII)</p><p>http://mathbyvemuri.blogspot.in/2013/05/csat2013solvedpaperpaperii.html 3/21</p><p>thatAgetsone lessthanB,Cgets5morethanDandDgets3morethanB.Whogetsthesmallestamount?</p><p>(a)A(b)B(c)C(d)DSolution:A=B1=&gt;B=A+1C=D+5D=B+3Ifwe see these equations,we can find that every one exceptAhas got some thingmorethansomeother(+indicatesmorethan).SoanswermustnotbeB,CorD.SoAisthechoiceAns:(a)</p><p>11.Therearefivehobbyclubsinacollegeviz.,photography,yachting,chess,electronicsandgardening.Thegardeninggroupmeetsevery secondday,theelectronicsgroupmeetseverythirdday,thechessgroupmeetseveryfourthday,theyachtinggroupmeetseveryfifthdayand thephotographygroupmeetseverysixthday.Howmany timesdoall the fivegroupsmeetonthesamedaywithin180days?</p><p>(a)3(b)5(c)10(d)18Solution:It'sasimpleLCMproblem.FindoutLCMof2,3,4,5and6.</p><p>It's 60. SO every 60th day all the five groupsmeet. So in a period of 180 days theymeet</p><p>thriceie.,on60thday,120thdayand180thday.Ans:(a)</p><p>12. In a class of 45 students, a boy is ranked 20th .When two boys joined, his rankwasdroppedbyone.Whatishisnewrankfromend?</p><p>(a)25th(b)26th(c)27th(d)28th</p><p>Solution:Aftertwoboysareaddedtheclassstrengthbecome47.</p><p>Theboy'srankisdroppedbyone=&gt;hisrankbecomes21st</p><p>=&gt;Thereare4721=26belowhisrank</p><p>=&gt;Heisranked27thfromendAns:(c)</p><p>13.Athiefrunningat8km/hrischasedbyapolicemanwhosespeedis10km/hr.Ifthethiefis100maheadofpoliceman,thenthetimerequiredforthepolicemantocatchthethiefwillbe?</p><p>(a)2(b)3(c)4(d)6Solution:Ifweconsiderthedifferenceofspeeds,policemanisat2km/hrleadingspeedandhencehecancatchthethiefat100maheadby100m/2kmph=100/2000hr=3minAns:(b)</p><p>14. A train travels at a certain average speed for a distance of 63 km and then travels adistanceof72kmatanaveragespeedof6km/hrmorethanitsoriginalspeed.Ifittakes3hourstocompletethetotaljourney,whatistheoriginalspeedofthetraininkm/hr?</p><p>(a)24(b)33(c)42(d)66Solution:LettheoriginalspeedbeS.Totaltimetaken=3hr=&gt;63/S+72/S+6=3Letustrywithansweroptions.Aswehave63inthenumerator,wecanassumethatSmaybeamultipleof7.Theonlyoptionavailableis4.So,letustrywiththat.63/42+72/48=3/2+3/2=3=&gt;thissuitsAns:(c)</p><p>15.FourcarsarehiredattherateofRs6perkmplusthecostofdieselatRs40alitre.Inthiscontext,considerthedetailsgiveninthefollowingtable:</p><p>Car Mileage(km/l)</p><p>Hours TotalPayment(Rs)</p><p>A 8 20 2120B 10 25 1950C 9 24 2064</p><p>IfeelprivilegedtohaveexperienceofcompetinginadmissionprocessesforExecutiveMBAfrompremierIndianBschools.PostCAT/GMAT,it...</p><p>MathinTenaliRamalingaspuzzleonelephantsIcametoknowaboutthisstorythroughmyfriend.ThisisaboutaproblemsolvedbythegreatTenaliRamalinga.IalwaysenjoyR...</p><p>178,558</p><p>TOTALPAGEVIEWS</p></li><li><p>09/04/2015 MathByVemuri:CSAT2013SolvedPaper(paperII)</p><p>http://mathbyvemuri.blogspot.in/2013/05/csat2013solvedpaperpaperii.html 4/21</p><p>D 11 22 1812Whichcarmaintainedthemaximumspeed?</p><p>(a)CarA(b)CarB(c)CarC(d)CarDSolution:LetthedistancestravelledbycarsA,B,CandDbea,b,canddrespectively.Then,totalpaymentforcarA=6a+40(a/8)=11a=2120=&gt;a=2120/11ItismentionedthatcarAtravelsfor20hr=&gt;TheaveragespeedofA=a/20=2120/11*20=106/11&gt;9EquationforB:6b+40(b/10)=1950=&gt;b=195=&gt;TheaveragespeedofB=b/25=195/25=39/5=7.8EquationforC:6c+40(c/9)=2064=&gt;c=9*1032/47=&gt;TheaveragespeedofC=c/24=9*43/47d=11*906/53=&gt;TheaveragespeedofD=d/22=453/53B&gt;GFromthesetwowecaneasilysaythatB&gt;G&gt;M=&gt;BipiniseldestandMeenaisyoungestamongthethree.Sowecantakeoption(d)asrightoption.Ans:(d)</p><p>18.A,B,C,DandEbelongtofivedifferentcitiesP,Q,R,SandT(notnecessarilyinthatorder).Eachoneofthemcomesfromadifferentcity.Furtheritisgiventhat:1.BandCdonotbelongtoQ2.BandEdonotbelongtoPandR3.AandCdonotbelongtoR,SandT4.DandEdonotbelongtoQandTWhichoneofthefollowingstatementisnotcorrect?</p><p>(a)CbelongstoP(b)DbelongstoR</p></li><li><p>09/04/2015 MathByVemuri:CSAT2013SolvedPaper(paperII)</p><p>http://mathbyvemuri.blogspot.in/2013/05/csat2013solvedpaperpaperii.html 5/21</p><p>(c)AbelongstoQ(d)BbelongstoS</p><p>Solution:Fromthefirsttwoconditionsitisclearthat,BdoesnotbelongtoP,QandR=&gt;BbelongstoeitherSorTFromthe firstandthirdconditions it isclear that,CdoesnotbelongtoQ,R,SandT=&gt;CbelongstoPFromthesecondandfourthconditionsitisclearthat,EdoesnotbelongtoP,Q,RandT=&gt;EbelongstoS=&gt;BbelongstoT=&gt;Answeroption(d)iswrongAns:(d)</p><p>19.SevenmenA,B,C,D,E,FandGarestandinginaqueueinthatorder.Eachoneiswearingacapofdifferentcolour likeviolet,indigo,blue,green,yellow,orangeandred.Disabletoseeinfrontofhimgreenandblue,butnotviolet.Ecanseevioletandyellowbutnotred.Gcansee caps of all colours other thanorange. IfE iswearing an indigo coloured cap, then thecolourofcapwornbyFis</p><p>(a)Blue(b)Violet(c)Red(d)OrangeSolution:Order:A,B,C,D,E,F,GThepointisApersoncanseecapsofallpersonsstandinginfrontofhimbutcantseehisowncapandcapsofpersonsstandingbehindhim.Disabletoseeinfrontofhimgreenandblue,butnotviolet=&gt;ThepeopleinfrontofDie.,AorBorCworngreenorblueandpeopleafterDandincludinghimselfie.,DorEorForGwornvioletEcanseevioletandyellowbutnotred=&gt;Fromthisandabovestatements,wecanfixvioletcapforD.andA/B/Cworngreen/blue/yellownotnecessarilyinthatorderGcanseecapsofallcoloursotherthanorange=&gt;Asheisthelastpersonintherow,hecanseeallcapsexcepthis.SowecanfixOrangecapforGGiventhatEwearsindigocap.Thesummaryis:</p><p>Person CapA/B/C green/blue/yellowD violetE indigoG orange</p><p>Finally,weareleftwithredcapandsowecanfixthistoFAns:(c)</p><p>20.Therearesomeballsofred,greenandyellowcolourlyingonatable.Thereareasmanyredballs as there are yellowballs.There are twice asmany yellowballs as there are greenones.Thenumberofredballs</p><p>(a)isequaltothesumofyellowandgreenballs(b)isdoublethenumberofgreenballs(c)isequaltoyellowballsminusgreenballs(d)cannotbeascertained</p><p>Solution:Letuswriteasequations:R=YandY=2G=&gt;R=2G=&gt;ThenumberofredballsisequaltodoublethenumberofgreenballsAns:(b)</p><p>Directionsforthefollowing4items:Readthefollowingstatementsandanswerthefouritemsthatfollow:FivecitiesP,Q,R,SandTareconnectedbydifferentmodesoftransportasfollows:PandQareconnectedbyboataswellasrail.SandRareconnectedbybusandboat.QandTareconnectedbyaironly.PandRareconnectedbyboatonly.TandRareconnectedbyrailandbus.21. Which mode of transport would help one to reach R starting from Q, but without</p></li><li><p>09/04/2015 MathByVemuri:CSAT2013SolvedPaper(paperII)</p><p>http://mathbyvemuri.blogspot.in/2013/05/csat2013solvedpaperpaperii.html 6/21</p><p>changingthemodeoftransport?(a)Boat(b)Rail(c)Bus(d)Air</p><p>Solution:Wehavethefollowingtransportoptions:QtoPandPtoR:Hereboatisacommonmodeoftransportandthisseemstobethecorrectanswer.Butletuschecktheothertransportation.QtoTandTtoR:HereQandTareconnectedbyaironlyandTandRareconnectedbyrailandbusTomakeacompletetripthereisnosinglemodeoftransport.So,thisoptionisruledout.HerewehaveonlyoneroutQPRwhichhasasinglemodeoftransportationie.,BoatAns:(a)</p><p>22. If a person visits each of the places starting from P and gets back to P, which of thefollowingplacesmusthevisittwice?</p><p>(a)Q(b)R(c)S(d)TSolution:Withthegivenoptions,wehavethefollowingtwopossibilities:P&gt;Q&gt;T&gt;R&gt;S&gt;R&gt;PP&gt;R&gt;S&gt;R&gt;T&gt;Q&gt;PInboththecases,Rshouldbevisitedtwice.(Thisisbecause,SisconnectedonlytoR)Ans:(b)</p><p>23. Which one of the following pairs of cities is connected by any of the routes directlywithoutgoingtoanyothercity?</p><p>(a)PandT(b)TandS(c)QandR(d)NoneoftheseSolution:Noneofthecitiesinthegivenpairs(inoptionsA,BandC)aredirectlyconnected.Ans:(d)</p><p>24. Between which two cities among the pairs of cities given below are there maximumtraveloptionsavailable?</p><p>(a)QandS(b)PandR(c)PandT(d)QandRSolution:QandS:Q&gt;T&gt;R&gt;S:ForQtoTwehaveairmode.ForTtoRwehaverail/busandforRtoS,we have bus/boat =&gt; all the options available are air,rail,bus and boat.Here we have allmodesofoptionsandhencethisisthecorrectanswer.Ans:(a)</p><p>Directionsforthefollowing3(three)items:Readthefollowingstatementsandanswerthethreeitemsthatfollow:A tennis coach is trying to put together a team of four players for the forthcomingtournament.Forthis7playersareavailable:malesA,BandCandfemalesW,X,YandZ.Allplayershaveequalcapabilityandatleasttwomaleswillbethereintheteam.Forateamoffour,allplayersmustbeable toplaywitheachother.ButBcannotplaywithW,CcannotplaywithZandWcannotplaywithY.25. If Y is selected and B is rejected, the team will consist of which one of the followinggroups?</p><p>(a)A,C,WandY(b)A,C,XandY(c)A,C,YandZ(d)A,W,YandZSolution:IfYisselected,Wshallnotbeselec...</p></li></ul>