Time and work Questions Bank Aptitude.pdf

Aptitude based time and word question

1. IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS1
TimeandWork

2. TIMEandWORK
Question1:Mohancandoaworkin15days.Afterworking
for3daysheisjoinedbyVinod.Iftheycompletethe
remainingworkin3moredays,inhowmanydayscanVinod
alonecompletethework?
A.10days
B.8days
C.5days
D.12days
E.15days
Question2:Aruncandoacertainworkinthesametimein
whichBipashaandRahultogethercandoit.IfArunand
Bipashatogethercoulddoitin10daysandRahulalonein
50days,thenBipashaalonecoulddoitin:
A.15days
B.20days
C.25days
D.30days
E.35days
Question3:Sekar,PradeepandSandeepcandoapieceof
workin15days.Afterallthethreeworkedfor2days,sekar
left.PradeepandSandeepworkedfor10moredaysand
Pradeepleft.Sandeepworkedforanother40daysand
completedthework.Inhowmanydayscansekaralone
completetheworkifsandeepcancompleteitin75days?
A.25days
B.20days
C.30days
D.35days
E.15days
Question4:Dineshdoes80%ofaworkin20days.Hethen
callsinGokulandtheytogetherfinishtheremainingworkin
3days.HowlongGokulalonewouldtaketodothewholework?
A.39days
B.37days
C.37½days
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS2

3. D.40days
E.39½days
Question5:HariandVijaycantogetherfinishaworkin30
days.Theyworkedtogetherfor20daysandthenVijayleft.
Afteranother20days,harifinishedtheremainingwork.In
howmanydaysharialonecanfinishthework?
A.45
B.60
C.35
D.50
E.65
Question6:Madhavancanfinishaworkin5hours.He
invitesManoharandManjimawhocanwork3/4thasfastas
hecantojoinhim.HealsoinvitesManiandMohanwhocan
workonly1/5thasfastashecantojoinhim.Ifthefive
personteamworksthesamejobandtheystarttogether,how
longwillittakeforthemtofinishthejob?
A.50/97days
B.87days
C.50/29days
D.78days
E.62days
Question7:AtypingworkisdonebythreepersonP,Qand
R.Palonetakes10hourstotypeasinglebookletbutBand
Cworkingtogethertakes4hours,forthecompletionofthe
samebooklet.Ifallofthemworkedtogetherandcompleted
14booklets,thenhowmanyhourshavetheyworked?
A.30hrs
B.40hrs
C.25hrs
D.45hrs
E.50hrs
Question8:NakulandRamareworkingonaproduction
company.Nakultakes6hourstomake32products,while
Ramtakes5hourstomake40products.Howmuchtimewill
theytake,workingtogethertomake110products?
A.8hours
B.8hours15minutes
C.9hours
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS3

4. D.8hours25minutes
E.9hours15minutes
Question9:Gopaldoesaworkin90days,Vikashin40days
andSanthoshin12days.Theyworkoneafteranotherfora
dayeach,startingwithGopalfollowedbyVikashandthenby
Santhosh.IfthetotalwagesreceivedareRs360andGopal,
Vikash,Santhoshsharethemintheratiooftheworkdone,
findtheirrespectiveindividualwages.
A.Rs44,Rs80andRs264
B.Rs40,Rs87andRs276
C.Rs36,Rs81andRs243
D.Rs42,Rs86andRs232
E.Rs37,Rs89andRs284
Question10:WhenAshokandKarthikareworkingalone,
theycancompleteapieceofworkin25daysand30days
respectively.Onday1,KarthikstartedtheworkandAshok
joinedBfromday3on-wards.Findapproximatelyafterhow
manydayswilltheworkbecompleted?
A.20days
B.10days
C.15days
D.25days
E.30days
Question11:Pcando2/5oftheworkin10daysandQcan
do4/5oftheworkin16days.Ifbothofthemstartworking
togetherthenthetimeinwhichtheworkcanbedone?
a)12.1/9days
b)11.1/9days
c)11.2/9days
d)12.4/9days
e)Noneofthese
Question12:AdoeshalfasmuchworkasBdoesinonesixth
ofthetime.Iftogethertheytake20daystocompletethe
work,thenwhatisthetimetakenbyBtocompletethework
independently.
a)80days
b)100days
c)120days
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS4

5. d)140days
e)Noneofthese
Question13:Acontractorundertakestomakeamallin60
daysandheemploys30men.After30daysitisfoundthat
onlyone-thirdoftheworkiscompleted.Howmanyextra
menshouldheemploysothattheworkiscompletedon
time?
a)20men
b)25men
c)30men
d)40men
e)Noneofthese
Question14:50mencouldcompleteaworkin200days.
Theyworkedtogetherfor150days,afterthatduetobad
weathertheworkisstoppedfor25days.Howmanymore
workersshouldbeemployedsoastocompletetheworkin
time?
a)25
b)35
c)50
d)60
e)Noneofthese
Question15:PandQwereassignedtodoaworkforan
amountof1200.Palonecandoitin15dayswhileQcando
itin12days.WiththehelpofRtheyfinishtheworkin6
days.FindtheshareifC.
a)100
b)120
c)140
d)160
e)Noneofthese
Question16:Acandoaworkin32days.Pwhois60percent
moreefficientthanA.Findhowmuchtimetheywilltake
togethertodothesamework?
a)150/13days
b)160/13days
c)170/3days
d)190/3days
e)Noneofthese
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS5

6. Question17:PdoeshalfasmuchworkasQinthree-fourth
ofthetime.Iftogethertheytake24daystocompletethe
work,howmuchtimeshallPtaketocompletethework?
a)50days
b)60days
c)70days
d)80days
e)Noneofthese
Question18:XandYcandoapieceofworkin12and15
daysrespectively.Theybegantheirworkbutbefore3daysof
itscompletionYleft.Inhowmanydaystheworkwillbe
completed.
a)6days
b)8days
c)10days
d)12days
e)Noneofthese
Question19:Nehatakes5hourstotype40pageswhilesunil
takes6hourstotype60pages.Howmuchtimewillthey
takeworkingtogetherondifferentcomputertotypean
assignmentof180pages.
a)5hr
b)7hr
c)9hr
d)11hr
e)noneofthese
Question20:PandQtogethercancompleteajobin90days,
QandRtakes60daystocompletethesameworkandPand
Rwilltake45daystocompletethesamework.Howmuch
timewillP,QandRwilltaketocompletetheworktogether.
a)40days
b)42days
c)36days
d)44days
e)Noneofthese
Question21:Theworkdonebyawomanin8hoursisequalto
theworkdonebyamanin6hoursandbyaboyin12hours.
Ifworking6hoursperday9mencancompleteaworkin6
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS6

7. daystheninhowmanydayscan12men,12womenand12
boystogetherfinishthesameworkworking8hoursperday?
(a)4/3days
(b)11/3days
(c)3days
(d)3/2days
(e)Noneofthese
Question22:AisthriceasgoodaworkmanasBandtakes
10dayslesstodoapieceofworkthanBtakes.Balonecan
dothewholeworkin
a)15days
b)10days
c)9days
d)8days
Question23:AdoeshalfasmuchworkasBinthree-fourth
ofthetime.Iftogethertheytake18daystocompletethe
work,howmuchtimeshallBtaketodoit
a)40days
b)35days
c)30days
d)25days
Question24:WorkerAtakes8hourstodoajob.WorkerB
takes10hourstodoajob.HowlongshouldittakebothA
andB,workingtogethertodosamejob.
a)49
b)249
c)349
d)449
Question25:5menand2boysworkingtogethercandofour
timesasmuchworkasamanandaboy.Workingcapacityof
manandboyisintheratio
a)1:2
b)1:3
c)2:1
d)2:3
Question26:Apieceofworkcanbedoneby6menand5
womenin6daysor3menand4womenin10days.Itcanbe
doneby9menand15womeninhowmanydays?
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS7

8. a)3days
b)4days
c)5days
d)6days
Question27:Acandoapieceofworkin15daysandBalone
candoitin10days.Bworksatitfor5daysandthenleaves.
Aalonecanfinishtheremainingworkin
a)5days
b)6days
c)7.5days
d)8.5days
Question28:TocompleteaworkAandBtakes8days,Band
Ctakes12days,A,BandCtakes6days.HowmuchtimeA
andCwilltake
a)24days
b)16days
c)12days
d)8days
Question29:AandBcantogethercompleteapieceofwork
in4days.IfAalonecancompletethesameworkin12days,
inhowmanydayscanBalonecompletethatwork?
a)4days
b)5days
c)6days
d)7days
Question30:Acandoacertainjobin25dayswhichBalone
candoin20days.AstartedtheworkandwasjoinedbyB
after10days.Thenumberofdaystakenincompletingthe
workwere?
a)1423kmph1423kmph
b)1523kmph1523kmph
c)1623kmph1623kmph
d)1723kmph
Question31:
AtakesthreetimesaslongasBandCtogethertodoajob.B
takesfourtimesaslongasAandCtogethertodothesame
work,Ifallthree,workingtogethercancompletethejobin
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS8

9. 24days,thenthenumberofdays,Aalonewilltaketofinish
thejobis:
a)100
b)96
c)95
d)90
e)Noneofthese
Question32:4boysand3womencandoapieceofworkin6
dayswhile2boysand4womencandothesamepieceofwork
in9days.Howmuchtimewillbetakenby7boysand9women
todothesamepieceofwork?
a)3days
b)7days
c)8days
d)12days
e)Noneofthese
Question33:Workingalone,TypewritersA,B,Ccandoa
certaintypingjob,consistingofalargenumberofpages,in
12,15and18hours,respectively.Whatistheratioofthetime
ittakesTypewriterAtodothejob,workingaloneatitsrate,
tothetimeittakesTypewriterBandCtodothejob,working
togetherattheirindividualrate?
4
11
1
2
15
22
22
15
Question34:A,BandCcandoapieceofworkin4,7and8
daysrespectively.Theyundertooktofinishtheworktogether
forRs.53650.Findthedifference(inRs.)betweentheshare
ofAandthatofB.
a)10100
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS9

10. b)11100
c)11650
d)12560
e)Noneofthese
Question35:
AtakestwiceasmuchtimeasBorthriceasmuchtimeasC
tofinishapieceofwork.Workingtogether,theycanfinish
theworkin2days.Bcandotheworkalonein:
A.4days
B.6days
C.8days
D.12days
Question36:
AandBcancompleteaworkin15daysand10days
respectively.Theystarteddoingtheworktogetherbutafter
2daysBhadtoleaveandAalonecompletedtheremaining
work.Thewholeworkwascompletedin:
A.8days
B.10days
C.12days
D.15days
Question37:
AandBcandoapieceofworkin30days,whileBandCcan
dothesameworkin24daysandCandAin20days.Theyall
worktogetherfor10dayswhenBandCleave.Howmany
daysmorewillAtaketofinishthework?
A.18days
B.24days
C.30days
D.36days
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS10

11. Question38:
AworkstwiceasfastasB.IfBcancompleteaworkin12
daysindependently,thenumberofdaysinwhichAandB
cantogetherfinishtheworkin:
A.4days
B.6days
C.8days
D.18days
Question39:
Twentywomencandoaworkinsixteendays.Sixteenmen
cancompletethesameworkinfifteendays.Whatistheratio
betweenthecapacityofamanandawoman?
A.3:4
B.4:3
C.5:3
D.Datainadequate
Question40:Acandoapieceofworkin10days,Bin15
days.Theyworktogetherfor5days,therestoftheworkis
finishedbyCintwomoredays.IftheygetRs.3000aswages
forthewholework,whatarethedailywagesofA,BandC
respectively(inRs):
a)200,250,300
b)300,200,250
c)200,300,400
d)Noneofthese
Question41:A,BandCcandoapieceofworkin24days,30
daysand40daysrespectively.Theybegantheworktogether
butCleft4daysbeforethecompletionofthework.Inhow
manydayswastheworkcompleted?
a)11days
b)12days
c)13days
d)14days
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS1

12. Question42:12mencancompleteaworkin8days.16
womencancompletethesameworkin12days.8menand8
womenstartedworkingandworkedfor6days.Howmany
moremenaretobeaddedtocompletetheremainingworkin
1day?
a)8
b)12
c)16
d)24
Question43:Pcancompleteaworkin12daysworking8
hoursaday.Qcancompletethesameworkin8days
working10hoursaday.IfbothpandQworktogether,
working8hoursaday,inhowmanydayscantheycomplete
thework?
a)60/11
b)61/11
c)71/11
d)72/11
Question44:AandBcandoapieceofworkin30days,
whileBandCcandothesameworkin24daysandCandA
in20days.Theyallworktogetherfor10dayswhenBandC
leave.HowmanydaysmorewillAtaketofinishthework?
a)18
b)24
c)30
d)36
Question45:AworkstwiceasfastasB.IfBcancompletea
workin18daysindependently,thenumberofdaysinwhich
AandBcantogetherfinishtheworkis:
a)4
b)6
c)8
d)10
Question46:Acandoacertainworkinthesametimein
whichBandCtogethercandoit.IfAandBtogethercould
doitin20daysandCalonein60days,thenBalonecould
doitin:
a)20
b)40
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS12

13. c)50
d)60
Question47:AContractoremployedacertainnumberof
workerstofinishconstructingaroadinacertainscheduled
time.Sometimelater,whenapartofworkhadbeen
completed,herealisedthattheworkwouldgetdelayedby
three-fourthofthescheduledtime,soheatoncedoubled
thenoofworkersandthushemanagedtofinishtheroadon
thescheduledtime.Howmuchworkhehadbeencompleted,
beforeincreasingthenumberofworkers?
a)10%
b)14(2/7%)
c)20%
d)30%
Question48:AisthriceefficientasBandCistwiceas
efficientasB.whatistheratioofnumberofdaystakenby
A,BandC,whentheyworkindividually?
a)2:6:3
b)2:3:6
c)1:2:3
d)3:1:2
Question49:TheratioofefficiencyofAistoCis5:3.The
ratioofnumberofdaystakenbyBistoCis2:3.Atakes6
dayslessthanC,whenAandCcompletesthework
individually.BandCstartedtheworkandleftafter2days.
ThenumberofdaystakenbyAtofinishtheremainingwork
is:
a)4
b)5
c)6
d)9
Question50:(x-2)mencandoapieceofworkinxdaysand
(x+7)mencando75%ofthesameworkin(x-10)days.Then
inhowmanydayscan(x+10)menfinishthework?
a)27
b)12
c)25
d)18
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS13

14. Question51:AistwiceefficientasBandtogethertheydo
thesameworkinasmuchtimeasCandDtogether.IfCand
Dcancompletetheworkin20and30daysrespectively,
workingalone,theninhowmanydaysAcancompletethe
workindividually:
a)12
b)18
c)24
d)30
Question52:Anairconditionercancoolthehallin40
minuteswhileanothertakes45minutestocoolunder
similarconditions.Ifbothairconditionersareswitchedonat
sameinstancethenhowlongwillittaketocooltheroom
approximately?
a)18
b)19
c)22
d)24
Question53:Agroupofworkerswasputonajob.Fromthe
seconddayonwards,oneworkerwaswithdrawneachday.
Thejobwasfinishedwhenthelastworkerwaswithdrawn.
Hadnoworkerbeenwithdrawnatanystage,thegroupwould
havefinishedthejobin55%ofthetime.Howmanyworkers
werethereinthegroup?
a)50
b)40
c)45
d)10
Question54:Ramstartsworkingonajobandworksonit
for12daysandcompletes40%ofthework.Tohelphim
completethework,heemploysRaviandtogethertheywork
foranother12daysandtheworkgetscompleted.Howmuch
moreefficientisRamthanRavi?
a)50%
b)200%
c)60%
d)100%
Question55:IfAandBworktogether,theywillcompletea
jobin7.5days.However,ifAworksaloneandcompleteshalf
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS14

15. thejobandthenBtakesoverandcompletestheremaining
halfalone,theywillbeabletocompletethejobin20days.
HowlongwillBalonetaketodothejobifAismoreefficient
thanB?
a)20days
b)40days
c)30days
d)24days
Question56:Atankisfittedwith8pipes,someofthemthat
fillthetankandothersthatarewastepipemeanttoempty
thetank.Eachofthepipesthatfillthetankcanfillitin8
hours,whileeachofthosethatemptythetankcanemptyit
in6hours.Ifallthepipesarekeptopenwhenthetankis
full,itwilltakeexactly6hoursforthetanktoempty.How
manyofthesearefillingpipes?
a)2
b)4
c)6
d)4.5
Question57:Acanfinishaworkin12dayswhileBcan
finishthesameworkin15days.Ifbothworktogether,then
calculatetheTimetakentocompletethework.
a)62/3days
b)6days
c)8days
d)4days
Question58:Asaworker,AjitisthriceasgoodasDev.If
bothworkingtogethercanfinishtheworkin5days,then
determinetheTimetakenbyAjittocompletethework
alone.
a)10/3days
b)5days
c)4days
d)20/3days
Question59:AandBcandoaworkin12days,BandCcan
dothesameworkin15daysandAandCcancompletethe
workin20days.InhowmanydaysA,BandCworking
togethercancompletethewholework?
a)10days
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS15

16. b)12days
c)8days
d)14days
Question60:Acanfinishtheworkin16dayswhileBcan
finishtheworkin8days.AfterAstartedtheworkalone,B
joinedhimafter4days.FindoutthetotalTimetakento
finishthework.
a)4days
b)8days
c)6days
d)14days
Question61:Amittakes20daystocompleteacertainwork.
AmitstartedtheworkandSurajjoinedhim4daysbeforethe
workwascompleted.Findoutthenumberofdaysforwhich
AmitworkedaloneifSuraj’sefficiencyis25%morethan
thatofAmit’s.
a)10days
b)8days
c)12days
d)11days
Question62:TheratioofnumberofdaystakenbyBistoC
is2:3.TheratioofefficiencyofAistoCis5:3.Atakes4
dayslessthanC,whenAandCcompletethework
individually.A,BandCstartedtheworkandB&Cleftafter
2days.ThenumberofdaystakenbyAtocompletethe
remainingworkis:
a)1day
b)2days
c)3days
d)5days
Question63:Atakes4dayslessthanBand2daysmore
thanCtodoajob.AandBtogethercandothejobinthe
sameTimeasC.Determinetheratioofnumberofdaystaken
byAandBtocompletethejobindividually.
a)2:3
b)(1+v3):(3+v3)
c)1:v2
d)(1+v3):(2+v6)
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS16

17. Question64:TwocompaniesGILandNCCareworking
togethertobuildaflyoverinDelhi.GILworkingonitsown
wouldhavefinishedtheprojectin5monthsbutworking
withNCCitisabletofinishtheprojectin4months.NCChas
twoteams,oneheadedbyRameshandotherheadedby
Sanjeevworkingonthisproject.Theyaredoingthesame
kindofworkbutefficiencyofSanjeev’steamis75%ofthe
efficiencyofRamesh’steam.Ifthetotalvalueofthe
contractforbuildingthisflyoverisRs.35,00,000then
determinethemoneyobtainedbySanjeev’steam.
a)Rs.4,00,000
b)Rs.3,50,000
c)Rs2,50,000
d)Rs.3,00,000
Question65:15workersworking4hoursadayfor25days
canbuildaplatformofwidth120meters,length10meter
andheight14meters.Howmanydayswill12workers
working5hoursadaywilltakeiftheyhavetobuilda
platformofwidth600meters,length14metresandheight
12metres?
a)150
b)130
c)125
d)120
Question66:12Mencancompleteaprojectin15daysand
10womencancompletethesameprojectin24days.9men
startworkingandafter6daystheyarereplacedby12
women.Inhowmanydayswill12womencompletethe
remainingwork?
(a)20
(b)10
(c)16
(d)18
(e)14
Question67:ArjunandSumantogethercancompletean
assignmentofdataentryin6days.Suman’sspeedis60%of
Arjun’sspeedandthetotalkeyare5,76,000.WhatisArjun’s
speedinkeydepressionsperhouriftheyworkfor12hoursa
day?
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS17

18. (a)4800
(b)6400
(c)5000
(d)7200
(e)8400
Question68:Therearetwotapstofillatankandathirdto
emptyit.Whenthethirdtapisclosed,theycanfillthetank
in10minand12min,respectively.Ifallthethreetapsbe
opened,thetankisfilledin15min.Ifthefirsttwotapsare
closed,inapproximatelywhattimecanthethirdtapempty
thewhenitisfull?
(a)8minand34second
(b)9minand32second
(c)7min
(d)6min
(e)12min
Question69:AistwiceasefficientasC.Btakesthriceas
manydaysasA.Ctakes12daystofinishtheworkalone.If
theyworkinpairs(i.e.,BC,AB,CA)startingwithBConthe
firstday,ABontheseconddayandAConthethirddayand
soon,thenhowmanydaysarerequiredtofinishthework?
(a)31/5days
(b)4.5days
(c)46/9days
(d)8days
(e)4days
Question70:TherearetwoautoclosedpipesXandYwhich
getclosedifthereisanydisturbancecanfillatankin10and
15hrs.respectively.Boththepipesareopenedtofillthe
tankbutwhenthetankis1/3rdfull,aleakdevelopsinthe
tankwhichresultsinclosingofbothpipes.Throughtheleak
one-thirdwatersuppliedbyboththepipesgoesout&afterit
theleakwasgetclosedbysomemeansandbothfillingpipes
againstartfillingthetank.Thetotaltimetakentofillthe
tankis
(a)12hr
(b)8hr
(c)4hr
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS18

19. (d)6hr
(e)10hr.
Question71:Acertainnumberofpeopleweresupposedto
completeaworkin20days.Thework,however,took28
days,since8peoplewereabsentthroughout.Howmany
peopleweresupposedtobeworkingoriginally?
(a)32
(b)27
(c)36
(d)30
(e)28
Question72:XandYstartfromthesamepointandrun
aroundacircularstadium,whosecircumferenceis2800m,
attherateof250mand350mperminuterespectivelyin
theoppositedirection.Theywillmeeteachotherin
(a)14/3min
(b)16/3min
(c)12/5min
(d)18/5min
(e)11/3min
Question73:If300mendiga5.5mwide,4mdeepand405
mlongcanalinanhour,thenhowlongacanalwill2000
menworkingfor6hrs,digifitis20mwideand16mdeep?
(a)6452m(b)
6682.5m(c)
2694.5m
(d)4082m
(e)Noneofthese
Question74:Inanarmycamptherewassufficientfoodfor
250soldiersfor30days.After20days125soldiersleftthe
camp.Forhowmanyextradayswilltherestofthefoodlast
fortheremainingsoldiers?
(a)12days
(b)10days
(c)8days
(d)6days
(e)14days
Question75:Aruncandoapieceofworkin40days,butBala
candothesameworkin5daysless,thanArun,when
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS19

20. workingalone.ArunandBalabothstartedtheworktogether
butBalaleftaftersomedaysandArunfinishedthe
remainingworkin30dayswithhalfofhisefficiencybuthe
didtheworkwithBalawithhiscompleteefficiency.Forhow
manydaystheyhadworkedtogether?
A.25/3days
B.31/3days
C.35/3days
D.38/3days
E.Noneofthese
Question76:Kirancandoaworkin20days,whileKaran
candothesameworkin25days.Theystartedthework
jointly.FewdayslaterSumanalsojoinedthemandthusall
ofthemcompletedthewholeworkin10days.Allofthem
werepaidtotalRs.1000.WhatistheshareofSuman?
A.200
B.400
C.100
D.300
E.500
Question77:7Indianand4Americanfinishajobin6days.
7Africanand3Americanfinishthesamejobin8days.The
efficiencyofeachpersonofaparticularnationalityissame
butdifferentfromothers.OneIndianOneAmericanandOne
Africanwillcompletetheworkin:
A.10days
B.12days
C.24days
D.36days
E.Noneofthese
Question78:ChitraistwiceefficientasArun.Balatakes
thriceasmanydaysasChitra.Aruntakes12daystofinish
theworkalone.Iftheyworkinpairs(i.eArun-Bala,Bala-
Chitra,Chitra-Arun)startingwithArun–Balaonthefirst
day,Bala–ChitraontheseconddayandChitra–Arunon
thethirddayandsoon,thenhowmanydaysarerequiredto
finishthework?
A.26/9days
B.46/9days
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS20

21. C.16/9days
D.56/9days
E.Noneofthese
Question79:Aworkisdoneby30workersnotallofthem
havethesamecapacitytowork.Everydayexactly2
workers,dotheworkwithnopairofworkersworking
togethertwice.Evenafterallpossiblepairshaveworked
once,alltheworkerstogetherworksforsixmoredaysto
finishthework.Findthenumberofdaysinwhichallthe
workerstogetherwillfinishthework?
A.22days
B.20days
C.24days
D.35days
E.32days
Question80:Aruncandoapieceofworkin10days,Balain
15days.Theyworktogetherfor5days,therestofthework
isfinishedbyChitraintwomoredays.IftheygetRs.5000
aswagesforthewholework,whatarethedailywagesof
Arun,BalaandChitrarespectively(inRs)?
A.600,400,500
B.200,300,400
C.500,300,400
D.600,500,300
E.400,300,200
Question81:AContractoremployedacertainnumberof
workerstofinishconstructingabuildinginacertain
scheduledtime.Sometimelater,whenapartofworkhad
beencompleted,herealizedthattheworkwouldgetdelayed
byhalfofthescheduledtime,soheatoncedoubledtheno
ofworkersandthushemanagedtofinishthebuildingonthe
scheduledtime.Howmuchworkhehadbeencompleted,
beforeincreasingthenumberofworkers?
A.200/3%
B.100/3%
C.300/3%
D.Can’tbedetermined
E.Noneofthese
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS21

22. Question82:(x-2)personcandoaworkinxdaysand(x+7)
personcando75%ofthesameworkin(x-10)days.Thenin
howmanydayscan(x+10)personfinishthework?
A.27days
B.12days
C.25days
D.18days
E.Noneofthese
Question83:TheratioofefficiencyofArunistoChitrais
5:3.TheratioofnumberofdaystakenbyBalaistoChitrais
2:3.Aruntakes6dayslessthanChitra,whenArunand
Chitracompletetheworkindividually.BalaandChitra
startedtheworkandleftafter2days.Thenumberofdays
takenbyAruntofinishtheremainingworkis?
A.4days
B.5days
C.6days
D.9days
E.Noneofthese
Question84:ArunistwiceefficientasBalaandtogether
theydothesameworkinasmuchtimeasChitraandDavid
together.IfChitraandDavidcancompletetheworkin20
and30daysrespectively,workingalone,theninhowmany
daysAcancompletetheworkindividually?
A.12days
B.18days
C.24days
D.30days
E.Noneofthese
Question85:AistwiceefficientasB.AandBtogetherdo
thesameworkinasmuchtimeasCandDcandotogether.
IftheratioofthenumberofaloneworkingdaysofCtoDis
2:3andifBworked16daysmorethanCthennoofdays
whichAworkedalone?
A.18Days
B.20Days
C.30Days
D.36Days
E.Cannotbedetermined
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS22

23. Question86:Acandoapieceofworkin40daysBcando
thesamepieceofworkin60days.AandBstartedthework
togetherinthefirst15daysAworkedwith50%ofhis
efficiency,inthenext15daysBworkedwith50%ofhis
efficiency.Nowinhowmanydaysdoestheremainingwork
willbecompletedifbothofthemworkwiththeirfull
efficiencies?
A.1Day
B.1.5Days
C.2Days
D.2.5Days
E.None
Question87:Acandoapieceofworkin30days,Bcandoin
45daysandCcandosameworkalonein60days.Ifon
thefirstdayAworkedaloneandontheseconddayAandB
workedtogetherandonthethirddayAandCworked
together.Iftheyrepeatthecycleasfollowstheninhow
manydaystotalworkcanbecompleted?
A.21Days
B.217/8Days
C.215/6Days
D.214/9Days
E.None
Question88:Ramucompletes30%ofworkin7.5days.Raju
is50%asefficientasRamu,Venuis50%asefficientasRaju.
NowRajuandVenujoinedwithRamufortherestofthework
theninhowmanydayswilltaketocompletethework?
A.9Days
B.10Days
C.12Days
D.15Days
E.Noneofthese
Question89:Acandoapieceofworkin21days.Bis50%
moreefficientthanA.CistwiceefficientthanB.Astarted
theworkaloneandworkedforsomedaysandleftthework
thenBandCjoinedtogetherandcompletedtheworkin2
days.ThenhowmanydaysdoesAworkedalone?
A.7Days
B.12Days
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS23

24. C.14Days
D.21Days
E.None
Question90:Acandoapieceofworkin60daysworking14
hours.BhasthesameefficiencyasofA.AandBstarted
workingtogether.Aworks5,6,7and8hoursrespectivelyon
firstfourdaysandrepeatsthecycleagain.ThenBhasto
workhowmanyhoursdailyiftheytogethercompletedthe
workin80days?
A.1Hour
B.2Hours
C.3Hours
D.4Hours
E.Noneofthese
Question91:Sruthi,SwethaandSwatitogethercancut216
Applesofthesamesizein3hours.NumberofApplescutby
Sruthiin9hoursissameasthenumberofApplescutby
Swatiin7hours.Inonehour,SwaticancutasmanyApples
morethanSwethaasSwethacancutmorethanSruthi.Then
thenumberofApplescutbySwethainonehour?
A.21
B.24
C.27
D.29
E.None
Question92:Acantype100lettersin5minutes.BandC
typingtogethercantype50lettersin2minutes.Ifallof
themworkingtogetherthencantype90lettersinhowmany
minutes?
A.2minutes
B.4minutes
C.5minutes
D.10minutes
E.None
Question93:IfAandBworktogethercancompleteawork
in8/5days.Astartedtheworkaloneandcompleted.50%of
theworkandlefttheworkthenBstartedtheworkaloneand
finishedtherestofwork.Theytooktotal5daystocomplete
thework.TheninhowmanydaysBcancompletetheworkif
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS24

25. AismoreefficientthanA?
A.1Day
B.2Days
C.3Days
D.4Days
E.None
Question94:Apieceofworkistobecompletedin100days,
11Menareemployedtodotheworkitisfoundthatafter50
daysonly1/3rdworkiscompleted.Nowadditionallyhow
manymoreMenaretobeemployedtoworktofinishthe
workintime?
A.5
B.6
C.7
D.11
E.None
1.C
Explanation:
TotaldaysMohanworked=3+3=6
6/15=2/5
So3/5=3/x
x=5
2.C
Explanation:
Arun,Bipashaandrahul’s1daywork=1/10+1/50=
6/50=3/25
Arun’s1daywork=Bipasha+Rahul‘s1daywork
2*(Arun’s1daywork)=3/25
Arun’s1daywork=3/50
Bipasha’s1daywork=1/10–3/50=2/50=1/25
3.C
Explanation:
Assumethetotalworktobe600units.(LCMofallthe
numbers)
ThenSandeep’s1daywork=8units.
Allthree’s1daywork=40units.Allworktogetherinthe
first2days
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS25

26. Workdoneinthefirst2days=40×2=80units
Sandeepaloneworksduringthelast40days
Workdoneinthelast40days=40×8=320units
Remainingwork=600–(320+80)=200units
Thisworkisdonebypradeepandsandeepin10days.
PradeepandSandeeptogether’s1daywork=20units
Sekar’s1daywork=Allthree1daywork–Pradeepand
Sandeeptogether’s1daywork=40units–20units=20
units
Sekarcandotheworkof600unitsin30days.
4.C
Explanation:
Dineshworkdone=20*5/4=25days
1/5workdonebyDineshandgokulin3days.
Wholeworkdone=15days
Dinesh1dayswork=1/25
Dineshandgokul’s1daywork=1/15
Gokul’s1daywork=1/15–1/25=2/75
Gokulalonein75/2daysor37½days.
5.B
Explanation:
Hari+vijay20dayswork=1/30*20=2/3
Remainingwork=1/3
1/3workin20dayssowholeworkin60days.
6.C
Explanation:
Lettheworkbe100units.
Madhavan’s1hourwork=100/5=20units
ManoharandManjima’s1daywork=3/4×20=15units.
MohanandMani’s1daywork=1/5×20=4units.
Inonedayallfiveofthemcando=20+15+15+4+4=
58unitsofwork.Hencetheycancompletetheworkin
100/58days.
7.B
Explanation:
1/P=1/10
1/P+1/Q+1/R=1/10+¼=7/20
In20hours,workingtogether,theywillcomplete7
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS2

27. booklets.
Thus,in40hourstheywillcomplete14booklets.
8.B
Explanation:
NumberofproductsmadebyNakulin1hour=32/6=
16/3
NumberofproductsmadebyRamin1hour=40/5=8
Numberofproductsmadebybothin1hour=16/3+8=
40/3
Timetakenbybothtomake110products=110*3/40=8
¼hrs
9.C
Explanation:
Assumethereare360unitsofwork(LCMof90,40and12).
Hence,theycando4,9and30unitsperdayortogether43
unitsevery3days.
SoIn24days,43×8=344unitsofworkiscompleted.
Inthenext2days,13unitsarecompletedandon27thday,
Santhoshtakes1/10thofadaytofinishtherest.
So,gopalandvikashworkedfor9dayseachandhave
henceputin36and81unitsrespectively,andtherestof
the243unitsisputinbysanthosh.
Thewagesshallalsobedistributedinthesameratioas:Rs
36,Rs81andRs243.
10.C
Explanation:
FractionofworkcompletedbyKarthikonday1andday2=
2*1/30=1/15
Fractionofworkleftafter2days=14/15
FractionofworkcompletedbyBoth=1/25+1/30=
11/150
Numberofdaysafterday2tocompletework=
14*150/15*11=13days
Soafter2+13=15daysworkswillbecompleted
11.B
Explanation:
Pcancompletetheworkin25daysandQcancompletethe
workin20days.Sobothwillcompletetheworkin
(20*25)/45=100/9days
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS27

28. 12.A
Explanation:
LetBtakeXdaystocompletetheworktheninone–sixthof
thetimei.e.x/6days.NowAdohalfworkasdonebyBsoA
willtaketwicethetimei.e.2*x/6=x/3tocompletethejob
alone
So1/x+3/x=1/20,x=80days
13.C
Explanation:
Lettotalworkiswanditisgiventhatone-thirdofthework
iscompletedafter30days.Means
M*D=30*30=w/3,sototalwork=30*30*3
2700=30*30+(30+p)*30,sowegetP=30(p=additional
men)
14.C
Explanation:
LetadditionalworkersbeP,
(50*150)/(50*200)=3/4oftheworkisalreadycompleted
andnowonly1/4oftheworkistobedone.So,
1/4=((50+P)*25)/50*200,solveforp,wegetP=50
15.B
Explanation:
1/15+1/12+1/c=1/6,wegotC=60(itmeansCwill
take60daystocompletetheworkalone)
soratioofworkdonebyP:Q:R=4:5:1
socshare=(1/10)*1200=120
16.B
Explanation:
A’sonedaywork=1/32soPonedaywork=
(160/100)*1/32=1/20,soPwilltake20daystocomplete
thework.
SoBothAandPwilltake=(32*20)/52=160/13days
17.B
Explanation:
LetQtakexdaystocompletethework,soPwilltake2*3/4
ofXdaytocompletetheworki.e.3x/2days
1/x+2/3x=1/24,wegetx=40days,soPwilltake=3/2
of40=60days
18.B
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS28

29. Explanation:
(1/12+1/15)*(T–3)+3/12=1
19.E
Explanation:
Inonehournumberofpagestypebyneha=40/5=8and
similarlyforsunilitis60/6=10.
Nowtotype180pagestheywilltake,(8+10)*T=180,T=
10hours
20.A
Explanation:
(1/90+1/60+1/45)*1/2=(1/P+1/Q+1/R)=1/40
so40days
21.D
22.A
Explanation:
RatiooftimestakenbyAandB=1:3
MeansBwilltake3timeswhichAwilldoin1time
Ifdifferenceoftimeis2days,Btakes3days
Ifdifferenceoftimeis10days,Btakes(3/2)*10=15days
23.C
Explanation:
SupposeBtakesxdáystodothework.
AsperquestionAwilltake
2∗34∗x=3x2days
(A+B)s1dayswork=1/18
1/x+2/3x=1/18orx=30days
24.D
Explanation:
Inthistypeofquestions,firstweneedtocalculate1hours
work,thentheircollectiveworkas,
A's1hourworkis1/8
B's1hourworkis1/10
(A+B)'s1hourwork=1/8+1/10
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS29

30. =9/40
Sobothwillfinishtheworkin40/9hours
=449
25.C
Explanation:
Let1man1daywork=x
1boy1daywork=y
then5x+2y=4(x+y)
=>x=2y
=>x/y=2/1
=>x:y=2:1
26.A
Explanation:
Tocalculatetheanswerweneedtoget1manperdaywork
and1womanperdaywork.
Let1man1daywork=x
and1woman1dayswork=y.
=>6x+5y=1/6
and3x+4y=1/10
Onsolving,wegetx=1/54andy=1/90
(9men+15women)'s1dayswork=
(9/54)+(15/90)=1/3
9menand15womenwillfinishtheworkin3days
27.C
Explanation:
B's5dayswork=
110∗5=12Remainingwork=1−12=12Acanfinishwork
=15∗12=7.5days
28.D
Explanation:
A+B1daywork=1/8
B+C1daywork=1/12
A+B+C1daywork=1/6
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS30

31. WecangetAworkby(A+B+C)-(B+C)
AndCby(A+B+C)-(A+B)
SoA1daywork=
16−112=112
SimilarlyC1daywork=
16−18=4−324=124
SoAandC1daywork=
112+124=324=18
SoAandCcantogetherdothisworkin8days
29.C
Explanation:
(A+B)'s1daywork=1/4
A's1daywork=1/12
B's1daywork=
(14−112)=3−112=16(14−112)=3−112=16
SoBalonecancompletetheworkin6days
30.D
Explanation:
WorkdonebyAinl0days=(1/25)*10=2/5
Remainingwork=1-(2/5)=3/5
(A+B)s1dayswork=(1/25)+(1/20)=9/100
9/100workisdonebythemin1day.
hence3/5workwillbedonebythemin(3/5)*(100/9)
=20/3days.
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS31

32. Totaltimetaken=(10+20/3)=16*(2/3)days
31.B
Let1day'sefficiencyofeachoftheindividualsisA,BandC
respectively.
Asperthegiveninformation,wegettheefficiencyequations
asfollows
3A=(B+C)...(i)
A+B+C=24......(ii)
Putting3Ainplaceof(B+C)ineqnation(ii),weget
A+3A=24
4A=24
Now,4Adothewholeworkin24days.
Therefore,Aalonewilldothewholeworkin24×4=96
days.
Hence,optionBiscorrect.
32.A
Asperthegiveninformation,workdoneby4boysand3
womenin6daysmustbeequaltoworkdoneby2boysand
4womenin9days.
Therefore,weget
(4B+3W)×6=(2B+4W)×9
⇒24B+18W=18B+36W
⇒6B=18W⇒1B=3W
Now,2B+4W=(2×3)W+4W=10W
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS32

33. ⇒10womendoapieceofworkin9days.
Similary,7B+9W=(7×3)w+9W=30W
Now,when10womendoapieceofworkin9days,
30women(thriceof10)willdothesamepieceofworkin3
days(∵Time???1/Efficiency).
Hence,optionAiscorrect.
33.D
SinceTypewriterBcandothejobin15hours,
itcando
1
ofthejobin1hour.
15
SinceTypewriterCcandothejobin18hours
itcando
1
ofthejobin1hour.
18
TogetherTyperwritersBandCcando
11 6
(+)=
(151890
Whichmeansthatittakesthem=
90
hours
11
tocompletethejob.SinceTypewriterAcompletesthejobin
12hours,theratioofthetimerequiredforAtodothejobto
thetimerequiredforBandCworkingtogethertodothejob
is
12
=
12(11)
=
2(11)
=
22
90 90 1515
11
Hence,option(D)iscorrect.
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS33
9090
+
5
)=
11
ofthejobin1hour

34. 34.B
Weknowthat
TheratioofsharesofA,BandC=Theratiooftheir
efficiencies
=
1
:
1
:
1
478
=
14
:
8
:
7
=14:8:7
565656
DifferencebetweenthesharesofAandBinratio
6
29
∴Actualdifferenceinvalue=
6
×53650=11,100/-
29
Hence,optionBiscorrect.
35.B
Explanation:
SupposeA,BandCx
and
xdaysrespectivelytofinishthe
takex, 2 3
Then,
1
+
2
+
3
=
1
xxx2
6
=
1
x2
x=12.
work.
So,Btakes(12/2)=6daystofinishthework
36.C
Explanation:
(A+B)'s1day'swork=
1
+
1
=
1
15106
WorkdonebyAandBin2days=
1
6
x2=
1
.
3
Remainingwork= 1-
1
=
2
.
3 3
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS34
.

35. Now,
1
workisdonebyAin1day.
15
2
workwillbedonebyain15x
2
=10days.
3 3
Hence,thetotaltimetaken=(10+2)=12days.
37.A
Explanation:
2(A+B+C)'s1day'swork=
1
+
1
+
1
=
15
=
1
302420 1208
Therefore,(A+B+C)'s1day'swork=
1
=
1
.
2x816
WorkdonebyA,B,Cin10days=
10
=
5
.
168
Remainingwork=1-
5
=
3
.
8 8
A's1day'swork=
1
-
1
=
1
.
162448
Now,
1
workisdonebyAin1day.
48
So,
3
workwillbedonebyAin48x
3
=18days.
8 8
1.A
Explanation:
RatioofratesofworkingofAandB=2:1.
So,ratiooftimestaken=1:2.
B's1day'swork=
1
.
12
A's1day'swork=
1
;(2timesofB'swork)
6
(A+B)'s1day'swork=
1
+
1
=
3
=
1
.
612124
So,AandBtogethercanfinishtheworkin4days.
39.B
Explanation:
(20x16)womencancompletetheworkin1day.
1woman's1day'swork=1.
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS35
.

36. 320
(16x15)mencancompletetheworkin1day.
1man's1day'swork=
1
240
So,requiredratio
=
1
:
1
34
40.B
Explanation:
A's5dayswork=50%
B's5dayswork=33.33%
C's2dayswork=16.66%[100-(50+33.33)]
RatioofcontributionofworkofA,BandC
=50:3313:162350:3313:1623=3:2:1
A'stotalshare=Rs.1500
B'stotalshare=Rs.1000
C'stotalshare=Rs.500
A'soneday'searning=Rs.300
B'soneday'searning=Rs.200
C'soneday'searning=Rs.250
4.A
Explanation:
Oneday'sworkofA,BandC=(1/24+1/30+
1/40)=1/10.
Cleaves4daysbeforecompletionofthework,
whichmeansonlyAandBworkduringthelast4
days.
WorkdonebyAandBtogetherinthelast4days
=4(1/24+1/30)=3/10.
=4:3(cross
multiplied)
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS36
=
1
:
1
240320

37. RemainingWork=7/10,whichwasdonebyA,B
andCintheinitialnumberofdays.
Numberofdaysrequiredforthisinitialwork=7
days.
Thus,thetotalnumbersofdaysrequired=4+7
=11days.
42.B
Explanation:
1man's1daywork=1/96;1woman's1daywork=1/192
Workdonein6
days=6(896+8192)=6×18=346896+8192=6×18=34
Remainingwork=1/4
(8men+8women)'s1daywork=1(896+8192)1896+8192=1/8
Remainingwork=1/4-1/8=1/8
1/96workisdonein1dayby1man
Therefore,1/8workwillbedonein1dayby96x(1/8)=12men
43.A
Explanation:
Pcancompletetheworkin(12x8)hrs=96hrs
Qcancompletetheworkin(8x10)hrs=80hrs
Therefore,P's1hourwork=1/96andQ's1hourwork=1/80
(P+Q)'s1hour'swork=(1/96)+(1/80)=11/480.SobothPand
Qwillfinishtheworkin480/11hrs
Therefore,Numberofdaysof8hourseach=(480/11)x(1/8)=
60/11
44.A
Explanation:
2(A+B+C)'s1daywork=1/30+1/24+1/20=1/8
=>(A+B+C)'s1day'swork=1/16
workdonebyA,BandCin10days=10/16=5/8
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS37

38. Remainingwork=3/8
A's1day'swork=(116−124)=148116-124=148
Now,1/48workisdonebyAin1day.
So,3/8workwilbedonebyAin=48x(3/8)=18days
45.B
Explanation:
RatioofratesofworkingofAandB=2:1.So,ratiooftimestaken
=1:2
Therefore,A's1day'swork=1/9
B's1day'swork=1/18
(A+B)'s1day'swork=1/9+1/18=1/6
so,AandBtogethercanfinishtheworkin6days
46.D
Explanation:
(A+B)'s1day'swork=1/20
C's1daywork=1/60
(A+B+C)'s1day'swork=1/20+1/60=1/15
AlsoA's1day'swork=(B+C)'s1day'swork
Therefore,weget:2x(A's1day'swork)=1/15
=>A's1day'swork=1/30
Therefore,B's1day'swork=1/20-1/30=1/60So,
Balonecoulddotheworkin60days.
47.B
Explanation:
LetheinitiallyemployedxworkerswhichworksforDdaysand
heestimated100daysforthewholeworkandthenhedoubled
theworkerfor(100-D)days.
D*x+(100-D)*2x=175x
=>D=25days
Now,theworkdonein25days=25x
Totalwork=175x
Therefore,workdonebeforeincreasingthenoofworkers
=25x175x×10025x175x×100%=1427%
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS38

39. 48.A
Explanation:
A:B:C
Ratioofefficiency 3:1:2
RatioofNo.ofdays 1/3:1/1:1/2
or 2:6:3
HenceAiscorrect.
49.C
Explanation:
A:C
Efficiency5:3
Noofdays3x:5x
Giventhat,5x-6=3x=>x=3
NumberofdaystakenbyA=9
NumberofdaystakenbyC=15
B:C
Days2:3
Therefore,NumberofdaystakenbyB=10
WorkdonebyBandCininitial2days=2[110+115]2110+115=
1/3
Thus,Restwork=2/3
NumberofdaysrequiredbyAtofinish2/3work=(2/3)x9=6
days
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS39

40. 50.B
Explanation:
34×(x−2)x=(x+7)(x−10)34×(x-2)x=(x+7)(x-10)
⇒x2−6x−280=0⇒x2-6x-280=0
=>x=20andx=-14
so,theacceptablevaluesisx=20
Therefore,Totalwork=(x-2)x=18x20=360unit
Now360=30xk
=>k=12days
51.B
Explanation:
A+B =C+D
| | | |
Ratioofefficiency 10x+5x 9x+6x
| | | |
15x 15x
Therefore,ratioofefficiencyofA:C=10:9
Therefore,ratioofdaystakenbyA:C=9:10
Therefore,numberofdaystakenbyA=18days
52.C
Explanation:
LetthetwoconditionersbeAandB
'A'coolsat40min
'B'at45min
Together=(axb)/(a+b)
=(45x40)/(45+40)
=45x40/85
=21.1764
=22min(approx).
53.D
Explanation:
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS40

41. Letthenumberofworkersbex.
Now,Usingworkequivalencemethod,
X+(X-1)+(X-2)+....+1=X*55%ofX
=>[X*(X+1)]/2=X*(55X/100)[because,SeriesisinAP.
SumofAP={No.ofterms(firstterm+lastterm)/2}]
Therefore,X=10
54.D
Afterthefirst12days,inthenext12daysRamwillagaindo40%
ofthework.Hence,Raviwilldo20%ofthework.
Thereforeramistwiceasefficientasravi.Or100%moreefficient.(since,
(2-1)/1x100=100%).
55.C
Let’ssolvethisusingansweroptions.WecanseethatifBtakes
40daystocompletetheentireworkthenhe’lltake20daystodo
halfofit.ButthesumofAandBis20..Let’stryoptionc.Bwill
dohalftheworkin15days.Nowusingequation
(1/a)+(1/b)=2/15,Weseethata=10.Hencehalfthejobisdone
in5days.It’sthecorrectoption.
56.D
Method1-Usingvariables
Letthenumberoffillingpipesbexandthenumberofempty
pipesbey.Theny/6–x/8=1/6..4(y-1)=3xNowgofromanswer
options
Weseethatforx=y=4,therelationisgettingsatisfied.Hencethe
answeris4.
Method2-UsingPercentage
Inlet-8hours=>12.5%perhourOutlet=6hours=>16.66%per
hourThedifference=4.16%Asthetankisfull,thedifference
shouldaccountfor100%ofthetank,asittakes6hoursto
empty4.16x6=25%i.e.25%workisdonebyoneoutletpipe;
thereforetherehastobe4outletpipesthereforethenumberof
inletpipes=8-4=4.Answerisoption(b).
57.A
Acanfinishtheworkin12days.Hecanfinish100%ofthework
in12days.In1dayhecanfinish(100/12)%=8.33%ofthe
work.Similarly,Bcanfinish(100/15)%=6.67%oftheworkin1
day.Whentheybothworktogether,theycanfinish(8.33+6.67)
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS41

42. %=15%oftheworkin1daySo,tocomplete100%ofthework,
theywilltake100/15=62/3days.
58.D
SupposeAjitcanfinishtheworkin‘x’days.Inonedayhecando
(100/x)%ofthework.
AsAjitisthriceasgoodasDev,Devwilldo1/3rdofwhatAjit
candoinaday.
So,Devcando(100/3x)%ofworkinaday.
Nowtheycompletetheworkin5days,soin1daytheymustbe
doing100/5=20%ofthework.
So,(100/x)+(100/3x)=20?x=20/3.
So,Ajitcancompletetheworkalonein20/3days.
59.A
Leta,bandcbethe%oftheworkdonebyA,B,andCinone
dayrespectively.
A&Bcancompletetheworkin12days?a+b=100/12%=
8.33%…(i)
B&Ccancompletetheworkin15days?b+c=100/15%=
6.67%…(ii)
A&Ccancompletetheworkin20days?a+c=100/20%=5%
…(iii)
Adding(i),(ii)and(iii)2(a+b+c)=20%?(a+b+c)=10%.
So,workingtogethertheyfinish10%ofworkinaday.So,they
cancompletetheworkin10days.
60.B
Acanfinishtheworkin16days.Inonedayhecanfinish
(100/16)%=6.25%ofthework.
In4days,workingalonehewillfinish[(100/16)*4]=25%ofthe
work.
NowBjoinshim.Amountofworkleft=100–25=75%.Bcando
(100/8)%=12.33%ofthework.
AandBtogethercando12.33+6.25=18.75%oftheworkin
oneday.WorkleftafterAhasfinished25%oftheworkin4days
=75%.HenceTimetaken=[75/18.75]=4days.So,totalTime
taken=4+4=8days.
61.D
Amittakes20daystocompletethework.So,in1dayAmit
completes100/20=5%ofthework.
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS42

43. Surajis25%moreefficientthanAmit.So,Surajwilldo[5+(5
*.25)]=6.25%oftheworkin1day.
SurajjoinedAmit4daysbeforetheworkwascompleted.This
meansSurajworkedfor4days.
InfourdaysAmitandSurajtogethercomplete[(5+6.25)*4]=
45%ofthework.
Thismeansrest55%oftheworkisdonebyAmitalone.This55%
ofworkwillbecompletedin(55/5)=11days
So,Amitworkedalonefor11days.
62.A
Theratioofefficiencyisinverselyproportionaltotheamountof
Timetaken.HenceAandCwilltakeTimeinratio3:5to
completethesamework.
So,intermofnumbers,dayshavetakentocompletethework:B:
C=2:3A:C=3:5
A:B:C=9:10:15
IfAistaking9xdays,Btakes10xdaysandCtakes15xdays.
Atakes4dayslessthanC?9x=15x–4?x=2/3.
Atakes6days,Btakes20/3daysandCtakes10days.
InonedayAdoes(100/6)%,Bdoes15%andCdoes10%ofthe
work.
IfA,BandCworkfortwodaystogether.So,in2days,amountof
workdone=2(100/6+15+10)=250/3%Amountofworkleft=
100–250/3=50/3%.Thiscanbecompletedby“A”in1day.
63.B
SupposeAtakesxdaystocompletethejob.ThenBwilltakex+
4daysandCwilltakex–2daystodothesamejob.Inoneday,A
does(1/x)%,Bdoes[1/(x+4)]%andCdoes[1/(x-2)]%.
A&Bwilldo[1/x]+[1/(x+4)]%oftheworkinaday.
So,TimetakenbyA&Btocompletetheworkwhen
workingtogether=x(x+4)/(2x+4)
TimetakenbyC=(x–2)
Nowasgiven,x–2=x(x+4)/(2x+4)
Solvingwegetx=2(1±v3),weneglect2(1±v3)because,number
ofdayscannotbenegative
So,daystakenbyA=2(1+v3)daystakenbyB=2(3+v3)
Ratio=(1+v3):(3+v3).
64.D
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS43

44. InonemonthGILcando100/5=20%ofthework.Alongwith
NCC,itisabletodo100/4=25%oftheworkinonemonth.So,
amountofworkdonebyNCC=5%inamonth.So,inthe4
monthsNCChasdone5*4=20%ofthework.So,shareofNCC=
20%ofRs.35,00,000=Rs.7,00,000.OutoftheseasSanjeev’s
teamisonly75%asefficientasRamesh’steam,themoneywill
bedividedintheratioofefficiency:Sanjeev’steamefficiency:
Ramesh’sTeamEfficiency=75:100=3:4.
So,moneyearnedbySanjeev’steam=(3/7)×Rs.7,00,000=
Rs.3,00,000.
65.A
Equatetheamountofworkintermsofman–hoursandvolume
oftheplatform.
15workers,4hoursaday,25days==120*10*14
12workers,5hoursaday,Ndays==600*14*12Takingthe
ratio,
(15*4*25)/(12*5*N)=(120*10*14)/(600*14*12)?N=150.
Theywilltake150days.
66.E
67.C
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS44

45. 68.A
69.C
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS45

46. 70.B
71.E
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS46

47. 72.A
73.B
74.B
75.C
Explanation:
1dayworkofArunandBala=1/40+1/35=15/280
Arunfinishedtheremainingworkin30days=30*1/40*2=
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS47

48. 3/8
RemainingworkdonebyArunandBala=5/8
Workedtogether=(5/8)/(15/280)=35/3days.
76.C
Explanation:
EfficiencyofKiran=5%
EfficiencyofKaran=4%
Theywillcompleteonly90%ofthework=[(5+4)*10]=90
RemainingworkdonebySuman=10%.
ShareofSuman=10/100*1000=100
77.C
Explanation:
Explanation:
7I+4Am=1/6
7Af+4Am=1/8
7I+7Af+7Am=7/24
1I+1Af+1Am=1/24
OneIndianOneAmericanandOneAfricanwillcompletethe
workin–24days.
78.B
Explanation:
NoofdaystakenbyArun=12days
Noofdays(Arun:Bala:Chitra)=2:3:1
1dayworkof(Arun+Bala)=5/36
1dayworkof(Bala+Chitra)=8/36
1dayworkof(Chitra+Arun)=9/36
5daystotalwork–35/36
1/36isdonebyArun-Chitra
NumberofdaystakenbyArun-Chitrafortherestofthework=
(1/36)/(9/36)=1/9
Totaltimetakentocompletethework=5+1/9=46/9days
79.D
Explanation:
30workersworkinpairs,withnosamepairofworkersworking
togethertwice
29[1/w1+1/w2…..+1/w30]+6[1/w1+1/w2…..+1/w30]=1
[1/w1+1/w2…..+1/w30]=1/35
35days.
80.A
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS48

49. Explanation:
A’s5dayswork=50%
B’s5dayswork=33.33%
C’s2dayswork=16.66%[100-(50+33.33)]Ratioofcontribution
ofworkofArun,BalaandChitra=3:2:1
Arun’stotalshare=Rs.3000
Bala’stotalshare=Rs.2000
Chitra’stotalshare=Rs.1000
Arun’soneday’searning=Rs.600
Bala’soneday’searning=Rs.400
Chitra’soneday’searning=Rs.500
81.B
Explanation:
Explanation:
D*x+(100-D)*2x=150x
=>D=50days
workdonein50days=50x
Totalwork=150x
50x/150x*100=100/3
82.B
Explanation:
3/4*(x-2)x=(x+7)(x-10)
x–6x–280=0
x=20;x=-14
(x-2)x=18*20=360
360=30*y
y=12days
83.C
Explanation:
Ratioofnumberofdays=9:10:15
WorkdoneByBandCinfirsttwodays=2*1/6=1/3
Restofthework=2/3
Numberofdays=(2/3)/(1/9)=6days
84.B
Explanation:
1/x+1/2x=1/20+1/30
3/2x=1/12
NumberofdaystakenbyArun=18days
85.A
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS49

50. Explanation:
Assumeworkingdays
A=x,B=2x,C=2y,D=3y
1/x+1/2x=1/2y+1/3y
And2x-2y=16
Solvingwegetx=18days.
86.B
Explanation:
15*(1/80+1/60)+15*(1/120+1/40)+x*(1/40+1/60)=1
X=3/2=1.5
87.C
Explanation:
Firstday=1/30
Secondday=1/30+1/45
Thirdday=1/30+1/60
3dayswork=3/30+1/45+1/60=25/180
3*7=21dayswork=175/180
Now1/36workisleftwhichcanbecompletedbyAalone
1/36*30=5/6
21+5/6=215/6Days
88.B
Explanation:
Ramutakes25daystocompletework.
Raju=50daysVenu=100days
Now70%workisleft
Theycancompletewholeworkin=1/1/25+1/50+1/100
100/7daysthen70%in10days
89.B
Explanation:
A=21B=14C=7
x/21+2*(1/14+1/7)=1
x=12.
90.D
Explanation:
20*(5+6+7+8+4x)/840=1
x=4hours
91.B
Explanation:
U+v+W=72
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS50

51. 9U=7W
W-V=V-U
V=24
92.A
Explanation:
(1/5+1/4)
20/9*90/100=2
93.D
Explanation:
1/A+1/B=5/8
x/A+y/B=1
x+y=5
y=4
94.D
Explanation:
11*50/1/3=(11+x)*50/2/3
X=11
IBPS|SBI|RBI|SEBI|SIDBI|NABARD|SSCCGL|SSCCHSL|ANDOTHERGOVERNMENTEXAMS