mba mat december 2012 mathematical skills solved question paper

Management Aptitude Test (MAT) December2012 Question Paper Page1

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ManagementAptitude Test (MAT)December 2012 Question Paper

WWW.JAGRANJOSH.COMMANAGEMENTAPTITUDETEST(MAT) DECEMBER2012QUESTIONPAPER


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1. A and B can separately do a piece of working 20 and 15 days, respectively. Theyworkedtogetherfor6days,after which B wasreplaced by C. Ifthework wasfinished in the next 4days,then the number of days in which Calonecould do thework willbe

(1)60 days

(2)40 days

(3)35 days

(4)30 days

2. B can do apieceof work in 6hours,B and Ctogethercan do it in 4hours,and 2A,B and Ctogether in 223 hours.In how manyhourscan Aand B togetherdo the samepiece of work?(1)11 hours

(2) 617 hours(3)237 hours(4)337 hours3.Xcan do 14 of awork in 10 days,Y can do 40% of thework in 4days and Z can do 13 of theworkin 13days.Who willcomplete thework first?

(1)X

(2)Y

(3)Z

(4)Xand Zboth

4. Acan do apieceof work in 7days of 9hourseach whereasB can do thesame work in 6daysof 7 hourseach.Howlongwilltheytaketo do the work together,working8~hoursaday?

(1)2days

(2)3days

(3)317days(4)425 days5. When 5 percent islost in grinding wheat, acountryhasto import 20 million bagsto makeup


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for the loss. But when only 2 percent is lost, it has to import 15 million bags. What is thequantityof wheat which growsin the countryin million bags?

(1)13313(2)150

(3)10625(4)166236. In aconsumer preferencessurvey,20% respondentsopted forproduct Awhereas60% optedforproduct B.Theremainingindividualswere undecided.Ifthedifferencebetween thosewhoopted for product B and thosewho were undecided is 720, how many individuals had beeninterviewed forthesurvey?

(1)1440

(2)1800

(3)3600

(4)Data inadequate

7. Gauriwent to thestationersand bought itemsworth Rs.25,out of which 30paisewent onsalestaxon taxablepurchases. Ifthetaxrate was6%,then what wasthecost of thetaxfreeitems?

(1)Rs.15

(2)Rs.15.70

(3)Rs.19.70

(4)Rs.20

8. Shyamhad threenotebooksX,Y and Z.Of these,Xhad 120pages,Y had 10% more and Zhad10% less.Ifhetore out 5%,10% and 15% of pagesin X,Y and Zrespectively,then what percentof totalpagesdid hetear out?

(1)8%

(2)15%

(3)7%

(4)None of these


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9. Abagcontains4 five rupee coins,3 two rupee coinsand 3onerupeecoins. If6coinsaredrawn from thebag at random,what are the odds in favour of the draw yieldingmaximumamount?

(1)1: 70

(2)1: 69

(3)69:70

(4)70:1

10. Varun throws two unbiased dice together and gets a sum of 7. If his friend Tarun thenthrowsthe same two dice,what isthe probability that thesum isless than 7?

(1)16(2) 712(3)12(4) 51211. In afactorywhere toys are manufactured,machinesA,Band Cproduce25%,35% and 40%of thetotaltoys,respectively. Of their output,5%, 4%and 2%respectively, are defectivetoys.Ifatoydrawnat randomisfound to bedefective,what istheprobabilitythat it ismanufacturedon machine B?

(1)1769(2)2869(3) 3569(4)None of these

12. Aand B alternatelythrow apairof dice.Awinsif hethrows6before B throws7; and B winsif he throws7before Athrows6.What are their respectivechancesof winning, if A throwsthedicefirst?

(1)1316 , 3116(2)3061 , 3161


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(3)3161 , 4161(4)3861 , 236113. What willbe the ratioof simple interest earned byacertain amount at thesamerateofinterest for 6yearsand 9 years?

(1)1: 3

(2)1: 4

(3)2:3

(4)Data inadequate

14. An automobilefinancier claimsto belending moneyat simpleinterest but heincludestheinterest everysix monthsforcalculatingtheprincipal.Ifhe ischarging an interest of 10%,theeffectiverate of interest becomes

(1)10%

(2)10.25%

(3)10.5%

(4)None of these

15. Asumof moneylent at compound interest for2yearsat 20% perannumwould fetch Rs.482more.If theinterest waspayablehalf yearlythan if it waspayable annually,the sumis

(1)Rs.10,000

(2)Rs.20,000

(3)Rs.40,000

(4)Rs.50,000

16. Sultan took aloan fromthebank at 8%perannum,and wassupposed to payasumof Rs.2240 at theend of 4years. Ifthesame sumiscleared off in fourequal annualinstalmentsat thesame rate,the amount of annual instalment willbe

(1)Rs.500

(2)Rs.550

(3)Rs.600


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(4)Rs.1000

17. A circustent is cylindricalto aheight of 3m and conicalaboveit.If thediameter of the baseis 140 mand the slant height of the conical portion is 80 m, the length of canvas 2mwiderequired to makethe tent is

(1)8960 m

(2)9660 m

(3)9460 m

(4)9860 m

18. The ratiobetween the length and breadth of a rectangularpark is3 : 2. If aman cyclingalong theboundaryof thepark at the speed of 12 km/h completesone round in 8minutes,then the area of thepark in sq.m is

(1)15360

(2)153600

(3)30720

(4)307200

19. Ifthenumbersrepresentingvolumeand surfaceareaof acubeare equal,then thelength ofthe edge of the cube in termsof theunit of measurement willbe

(1)3

(2)4

(3)5

(4)6

20. Ametalsheet 27cmlong,8cmbroad and 1cmthick ismelted into acube.Thedifferencebetween the surfaceareaof thetwo solids,is

(1)284cm2

(2)296cm2

(3)286cm2

(4)300cm2

21. A,B and Chave40,x and yballs,respectively. If B gives20 ballsto A,heisleft with half as


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manyballsasC. Iftogethertheyhad 60 more balls,each of them would havehad 100 ballsonan average.What istheratioof x to y?

(1)3: 2

(3)2: 1

(2)2: 3

(4)3:4

22. Thereareatotalof 43800 studentsin 4schoolsof acity. Half the numberof studentsof thefirst school,twothirdsof thesecond, threefourth of thethird and fourfifths of thefourth areallequal.What istheratioof thenumberof studentsof Ato D, if A,B,Cand D bethe first,second,third and fourth schools,respectively?

(1)8: 5

(2)1:3

(3)2: 3

(4)7:9

23. Fournumbersarein proportion.Thesumof thesquaresof thefournumbersis50and thesum of themean is 5. The ratio of first two terms is 1 : 3. What is the average of the fournumbers?

(1)1

(2)3

(3)5

(4)6

24. The concentration of petrol in three different mixtures(of petrol and kerosene)is 1/2,3/5and 4/5,respectively.If2litres,3litresand 1litreare taken fromthese threedifferent vesselsand mixed,what is theratioof petroland kerosenein the newmixture?

(1)4: 5

(2)3:2

(3)3: 5

(4)2:3

25. AcompanyCEO invited ninepersonsforabusinessmeeting,where thehost willbeseated


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at a circular table.How manydifferent arrangements are possible if two inviteesX and Y beseated on eithersideof thehost CEO?

(1)10080

(2)10800

(3)9200

(4)4600

26. Find thenumberof ways mwhich ten different flowerscan bestrungtogether to makeagarland in such a waythat threeparticularflowersare always together?

(1)30240

(2)30420

(3)23400

(4)None of these

27. Acommitteeof 3expertsisto beselected out of apanelof 7persons. Threeof them areengineers,threeare managersand, one isboth engineerand manager.In how manyways canthe committee be selected if it must haveat least one engineer and one manager?

(1)33

(2)22

(3)11

(4)66

28. A cricket team of 11 players is to be formed from a pool of 16 players that includes 4bowlersand 2wicket keepers.In how manydifferent ways can ateambeformed sothat theteamhasat least 3bowlersand wicketkeeper?

(1)2472

(2)2274

(3)2427

(4)1236

29. Vijaypurchased two different kindsof alcohol. In the first mixture the ratioof alcohol towateris3:4and in thesecond mixture it is5:6.Ifhemixesthetwo given mixturesand makesathird mixture of 18litresin which theratioof alcoholto wateris4: 5,thequantityof thefirst


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mixture (whoseratiois 3 :4)that is required to make18 litres of thethird kind of mixture is

(1)6

(2)7

(3)8

(4)9

30. Theaveragemarksof thestudents in foursectionsA,B,Cand D of aschool is60%.Theaverage marks of the students of A, B, C and D individually are 45%, 50%, 72% and 80%,respectively. Iftheaveragemarksof thestudentsof sectionsAand B togetheris48% and thatof the students of Band C together is 60%, what is the ratio of the number of students insectionsAand D?

(1)2: 3

(2)4:3

(3)5: 3

(4)3:5

31. Two casks of 48 litres and 42 litres are filled with mixtures of milk and water; theproportionsin thetwo casksbeingrespectively,13 :7and 18 :17.Ifthecontentsof thetwocasksbemixed, and 20litresof waterbeadded to thewhole,what will betheproportion ofmilk and waterin theresultingmixture?

(1)5: 12

(2)7: 13

(3)12:13

(4)8:15

32.Two companiesAand B quoteforatender.On thetenderopeningday,Arealisesthat thetwo quotesare in theratio7:4and hencedecreasesitspriceduringnegotiationsto makeit Rs.1lakh lowerthan B'squoted price.B then realisesthat thefinalquotesof thetwo were in theratio3: 4.Byhow much did A decreaseitspricein orderto win the bid?

(1)Rs.7 lakhs

(2)Rs.4 lakhs

(3)Rs.9 lakhs


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(4)None of these

33. To fill a certain tank, pipes A, B and C take 20 minutes, 15 minutes and 12 minutes,respectively. If thethree pipesare opened every alternateminute,how longwill it taketo fillthe tank ?

(1)5minutes

(2)10 minutes

(3)12 minutes

(4)15 minutes

34.Abath ean befilled bythecold water and hot waterpipesin 10minutesand 15 minutes,respectively. A person leaves the bathroom after turning on both pipes simultaneously andreturnsat themomentwhen thebath should be full.Finding,however,that the waste pipehasbeen open,hethen closes it. In exactlyfourminutesmore thebath isfull. In how much timewould the wastepipeemptythe fullbath,if it aloneis opened?

(1)9minutes

(2)10 minutes

(3)12 minutes

(4)None of these

35.A,Band Care three pipes attached to a cistern.A and B can fill it in 20 minutes and 30minutesrespectively,whileCcan emptyit in 15 minutes.IfA,Band Cbekept open successivelyfor1minuteeach,how soon willthecistern befilled?

(1)180minutes

(2)60 minutes

(3)157minutes

(4)155minutes

36. Two tapscan separately fillacistern in 10minutesand 15 minutes, respectively. If thesetwo pipesand awastepipeare kept open simultaneously,thecistern getsfilled in 18minutes.Thewastepipe can emptythe fullcisternin

(1)7minutes

(2)13 minutes


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(3)23 minutes

(4)9minutes

37. Raghutravelled 1200 kmby air which formed 25 th of his trip.Onethird of thewholetrip hetravelled by carand the rest of the journeyhe did bytrain.Thedistancetravelled bytrain is

(1)1600 km

(2)800km

(3)1800 km

(4)480km

38. A man has to cover a distance of 6 km in 45minutes.If he covers onehalf of the distance in23 rd time, what should 3behisspeed to cover theremainingdistance in theremaining time?(1)12 km/h

(2)16 km/h

(3)3km/h

(4)8km/h

39. Aman startscyclingfromAto B and,at thesametime,anotherman startscyclingfromB toAalong the samepath.2 They completed their journeys in 123 and 225 hours, respectively,Atwhat speed hasthesecond man cycled if thefirst cyclesat 16km/h?

(1)1612 km/h(2)1812 km/h(3)1119 km/h(4)1313 km/h40. Two men A and B start walkingfrom aplace 'X'at 412 km/h and 534 km/h,respectively. Howmanykmapart willtheybeat the end of 312 hours if theyarewalkingin the same direction?(1)412km(2)534 km


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(3)438 km(4)3578 km


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Answer

1 (2) 21 (2)

2 (4) 22 (1)

3 (3) 23 (3)

4 (2) 24 (2)

5 (4) 25 (1)

6 (2) 26 (1)

7 (3) 27 (1)

8 (4) 28 (1)

9 (2) 29 (2)

10 (4) 30 (2)

11 (2) 31 (3)

12 (2) 32 (2)

13 (3) 33 (4)

14 (2) 34 (1)

15 (2) 35 (1)

16 (1) 36 (4)

17 (3) 37 (2)

18 (2) 38 (1)

19 (4) 39 (3)

20 (3) 40 3)

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