bankers adda_ quant quiz on l.c.m and h.c

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BANKING DAILY QUIZ ENGLISH FRESH VACANCY GK UPDATES IBPS CLERK IBPS PO INTERVIEW PREP RESULTS SAMPLE PAPERS SHORTCUTS SSC QUANT QUIZ ON L.C.M and H.C.F 1. About the number of pairs which have 16 as their HCF and 136 as their LCM, the conclusion can be a. only one such pair exists b. only two such pairs exist c. many three pairs exist d. many such pairs exist e. no such pair exists 2. The HCF of two numbers is 12 and their difference is also 12. The numbers are a. 66, 78 b. 94, 106 c. 70, 82 d. 84, 96 e. 50. 62 3. The HCF of two numbers is 16 and their LCM is 160. If one of the numbers is 32, then the other number is a. 48 b. 80 c. 96 d. 112 e. 108 4. HCF of three numbers is 12. If they are in the ratio 1:2:3, then the numbers are a. 12,24,36 b. 10,20,30 c. 5,10,15 d. 4,8,12 e. 15, 30, 45 5. Six bells commence tolling together and toll at intervals of 2,4,6,8,10 and 12 seconds respectively. In 30 minutes, how many times do they toll together? a. 4 b. 10 c. 15 d. 16 e. 18 6. The largest natural number which exactly divides the product of any four consecutive natural numbers is : a. 6 b. 12 c. 24 d. 120 e. 150 7. The traffic lights at three different road crossing change after every 48 sec; 72 sec; and 108 sec., respectively. If they all change simultaneously at 8:20:00 hrs, then they will again change simultaneously at a. 8:27:12 Hrs b. 8:27:24 Hrs c. 8:27:36 Hrs d. 8:27:48 Hrs e. 8: 27:53 Hrs 8. The greatest number by which if 1657 and 2037 are divided the remainders will be 6 and 5 respectively is a. 127 b. 235 c. 260 d. 305 e. 310 9.The total number of prime factors of the product (8)20×(15)24×(7)15 is a. 59 b. 98 c. 123 d. 4 e. 14 10. The HCF and LCM of two numbers are 44 and 264 respectively. If the first number is divisible by 3, then the first number is BANKERS ADDA IN HINDI GK Power Capsule Hindi GK Power Capsule English Call Letter Download PET Call Letter Download Syllabus & Exam Pattern Link Active Notification IBPS CLERK 2014 IBPS PO IV Written Test Scores IBPS PO IV Written Test Result Computer Capsule GK Power Capsule Hindi Version IBPS PO GK Power Capsule Syllabus and Pattern Notification FAQs IBPS PO 2014 Notification IBPS PO 2014 GK Power Capsule Hindi Version GK Power Capsule English Version Admit Card Download Exam Syllabus & Pattern Notification SBI ASSOCIATE PO (2986 VACANCIES) RBI Assistants Notification Financial Awareness Capsule RBI Assistant Vacancies: Doubts Clarified Last Year Questions RBI ASSISTANTS 506 VACANCIES IBPS RRB Written Result Out Admit Card RRB Capsule (English) FAQs IBPS RRB 2014 Notification IBPS RRB 2014 SBI Clerk Written Test Result SBI Clerk GK Power Capsule (English) SBI Clerk GK Power SBI CLERK 201415 VACANCIES SSC Tier II Refresher Course (Starting from 15Mar2015) Own a Career Power Centre in Your City : Career Power Franchisee Program Search SEARCH YOUR TOPIC HERE SEMINAR Join IBPS PO (Tier I & Tier II) Coaching at Career Power Jaipur, Alwar, Dehradoon, Udaipur, Ranchi, Rewa, Jodhpur, Kolkata, Varanasi, Patna, Meerut, Bhatinda, Brahampur, Guna, Agra, Jhansi, Bareilly, Aligarh, Gwalior, Delhi, Noida, Ghaziabad, Lucknow, Kanpur Less than 120 Between 121130 Between 131140 Between 141150 Between 151160 More than 160 Vote Show results Votes so far: 13214 Days left to vote: 368 HOW MUCH DID YOU SCORE IN IBPS CLERK IV? Less than 100 Between 101120 Between 121140 Between 141160 Between 161180 More than 180 Vote Show results Votes so far: 12939 Days left to vote: 345 HOW MUCH DID YOU ATTEMPT IN IT OFFICER EXAM OF IBPS SO 2015? Below 85 8590 HOW MUCH DID YOU SCORE IN THE WRITTEN EXAM OF IBPS PO 2014 GENERAL?

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  • BANKING DAILYQUIZ ENGLISH FRESHVACANCY GKUPDATES IBPSCLERK IBPSPO INTERVIEWPREP RESULTS SAMPLEPAPERS SHORTCUTS SSC

    QUANTQUIZONL.C.MandH.C.F1.Aboutthenumberofpairswhichhave16astheirHCFand136astheirLCM,theconclusioncanbea.onlyonesuchpairexistsb.onlytwosuchpairsexistc.manythreepairsexistd.manysuchpairsexiste.nosuchpairexists

    2.TheHCFoftwonumbersis12andtheirdifferenceisalso12.Thenumbersarea.66,78b.94,106c.70,82d.84,96e.50.62

    3.TheHCFoftwonumbersis16andtheirLCMis160.Ifoneofthenumbersis32,thentheothernumberisa.48b.80c.96d.112e.108

    4.HCFofthreenumbersis12.Iftheyareintheratio1:2:3,thenthenumbersarea.12,24,36b.10,20,30c.5,10,15d.4,8,12e.15,30,45

    5.Sixbellscommencetollingtogetherandtollatintervalsof2,4,6,8,10and12secondsrespectively.In30minutes,howmanytimesdotheytolltogether?a.4b.10c.15d.16e.18

    6.Thelargestnaturalnumberwhichexactlydividestheproductofanyfourconsecutivenaturalnumbersis:a.6b.12c.24d.120e.150

    7.Thetrafficlightsatthreedifferentroadcrossingchangeafterevery48sec72secand108sec.,respectively.Iftheyallchangesimultaneouslyat8:20:00hrs,thentheywillagainchangesimultaneouslyata.8:27:12Hrsb.8:27:24Hrsc.8:27:36Hrsd.8:27:48Hrse.8:27:53Hrs

    8.Thegreatestnumberbywhichif1657and2037aredividedtheremainderswillbe6and5respectivelyisa.127b.235c.260d.305e.310

    9.Thetotalnumberofprimefactorsoftheproduct(8)20(15)24(7)15isa.59b.98c.123d.4e.14

    10.TheHCFandLCMoftwonumbersare44and264respectively.Ifthefirstnumberisdivisibleby3,thenthefirstnumberis

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  • firstnumberisdivisibleby3,thenthefirstnumberisa.264b.132c.Bothaandbd.33e.36

    11.Whatleastnumbermustbesubtractedfrom1294sothattheremainderwhendivided9,11,13willleaveineachcasethesameremainder6?a.0b.1c.2d.3e.4

    12.Theleastnumberwhichisdivisibleby12,15,20andisaperfectsquare,isa.400b.900c.1600d.3600e.4200

    13.Theleastperfectsquarenumberwhichisdivisibleby3,4,5,6and8isa.900b.1200c.2500d.3600e.1500

    14.Threepieceoftimber42m,49mand63mlonghavetobedividedintoplanksofthesamelength.Whatisthegreatestpossiblelengthofeachplank?a.7mb.14mc.42md.63me.78

    15.Thegreatestnumberwhichcandivide1354,1866,2762leavingthesameremainder10ineachcaseis:a.64b.124c.156d.260e.280

    Answers1.eHCFisalwaysafactorofLCM.ie.,HCFalwaysdividesLCMperfectly.

    2.dThedifferenceofrequirednumbersmustbe12andeverynumbermustbedivisibleby12.Therefore,theyare84,96.

    3.bThenumber=HCFLCMGivennumber=1616032=80

    4.ALetthenumbersbea,2aand3a.Then,theirHCF=asoa=12Thenumbersare12,24,36

    5.dLCMof2,4,6,8,10and12is120.So,thebellswilltollsimultaneouslyafter120seconds.i.e.2minutes.In30minutes,they(302+1)tolltimesie.16times.

    6.CTherequirednumbercanbefindoutbyfollowingway.1234=24

    7.(A)Thechangeofinterval=(LCMof48,72,108)sec.=432.So,forevery432secondsi.e.7min.12sec.thelightswillchange.Soadd7min.12sec.to8:20:00Hrs.i.e.8:27:12Hrs.

    8.ATheneedednumberisHCFof(16576)and(20375)=HCFof1651&2032=127.

    9.DTheprimenumbersare2,3,5,17intheexpression.Theexpressioncanbewrittenas(23)20(35)24(17)152603245241715Sonumberofprimefactorsare4.i.e.,2,3,5,17

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    10.CLetthenumbersareah,bhrespectively.HerehisHCFoftwonumbers.(obviouslya,barecoprimesi.e.,HCF(a,b)=1)GiventhatHCF=h=44andLCM=abh=264DividingLCMbyHCFwegetab=6.abcanbewrittenas1x6,2x3,3x2,6x1.Butgiventhatthefirstnumberisdivisibleby3.SoonlytwooptionspossibleforA.3x44,6x44.SooptionCiscorrect

    11.BLCMof9,11,13is1287.Dividing1294with1287,theremainderwillbe7,togetremainder6,1istobedeductedfrom1294sothat1293whendividedby9,11,13leaves6asremainder.

    12.bLCM=5322=60Tomakethisnumberasaperfectsquare,wehavetomultiplythisnumberby53Thenumberis6015=90013.DLCM=22235=2335Buttheleastperfectsquareis=2335(235)=243252=3600astheperfectsquareshavetheirpowerseven.

    14.AThemaximumpossiblelength=(HCFof42,49,63)=7

    15.A

    Theneedednumber=HCFof1344,1856and2752=64

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