# MathByVemuri_ CSAT 2013 Solved Paper (Paper-II)

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• 09/04/2015 MathByVemuri:CSAT2013SolvedPaper(paperII)

http://mathbyvemuri.blogspot.in/2013/05/csat2013solvedpaperpaperii.html 1/21

MathByVemuri

Home CONCEPTS PUZZLES MathinEveryDayLife GMAT/GRE CAT/Other CSAT/GATE

MONDAY,27MAY2013

2.A gardenerhas 1000plants.Hewants toplant them in such away that thenumberofrowsandthenumberofcolumnsremainsthesame.Whatistheminimumnumberofplantsthatheneedsmoreforthispurpose?

(a)90(b)24(c)32(d)34Solution:Ifthenumberofrowsandnumberofcolumnsaretobeequal,thenthetotalnumberoftrees

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)

(a)Rs30(b)Rs40(c)Rs60(d)Rs80Solution:LettheleastvaluepricebeX.ThenthenextvalueisX+20,andthenextvalueisX+40andonandonupto7values.ItsnothingbutanarithmeticProgressionwithsum700.X+X+20+X+40+X+120=700=>7X+(20+40++120)=700=>7X+20(1+2+3++6)=700=>7X+20(21)=700=>7X=280=>X=40Ans:(b)

5. Inagarrison, therewas food for1000soldiers foronemonth.After10days, 1000moresoldiers joined the garrison. How long would the soldiers be able to carry on with theremainingfood?

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• 09/04/2015 MathByVemuri:CSAT2013SolvedPaper(paperII)

http://mathbyvemuri.blogspot.in/2013/05/csat2013solvedpaperpaperii.html 2/21

(a)25days(b)20days(c)15days(d)10daysSolution:After10days,theremainingfoodwouldbesufficientforthe1000soldiersfor20moredays=> If 1000more soldiers are added, it shall be sufficient for only 10 days (as the no. ofsoldiersisdoubled,thedaysarehalved)Ans:(d)

6.AtankfullpetrolinArunsmotorcyclelastfor10days.Ifhestartsusing25%moreeveryday,howmanydayswillthetankfullpetrollast?

7.Apersoncanwalkacertaindistanceanddrivebackin6hrs.Hecanalsowalkbothwaysin10hrs.Howmuchtimewillhetaketodrivebothways?

8.Considerthefollowingmatrix:

3 370 72 224 61 730 X

WhatisthenumberatXintheabovematrix?(a)5(b)8(c)9(d)11

Solution:

Consider2ndelementineachrow.Sumupthedigitsofeachnumber.3+7+0=102+2+4=87+3+0=10Nowredrawthetablelikethis:

3 10 72 8 61 10 X

Noweachrowfollowsthis:sumof1stand3rdelementsisequalto2ndelement.1+X=10=>X=9Ans:(c)

9.Examinethefollowingthreefiguresinwhichthenumbersfollowaspecificpattern:84 81 8814 12 18 9 ? 11

Themissingnumber(?)inthethirdfigureaboveis(a)7(b)16(c)21(d)28

Solution:Observethefirsttwofigurescarefully:2*(84/12)=142*(81/9)=18Henceforthethirdfigure,2*(88/11)=X=>X=2*8=>X=16Ans:(b)

10.FourfriendsA,B,CandDdistributesomemoneyamongthemselvesinsuchamanner

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• 09/04/2015 MathByVemuri:CSAT2013SolvedPaper(paperII)

http://mathbyvemuri.blogspot.in/2013/05/csat2013solvedpaperpaperii.html 3/21

thatAgetsone lessthanB,Cgets5morethanDandDgets3morethanB.Whogetsthesmallestamount?

(a)A(b)B(c)C(d)DSolution:A=B1=>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)

11.Therearefivehobbyclubsinacollegeviz.,photography,yachting,chess,electronicsandgardening.Thegardeninggroupmeetsevery secondday,theelectronicsgroupmeetseverythirdday,thechessgroupmeetseveryfourthday,theyachtinggroupmeetseveryfifthdayand thephotographygroupmeetseverysixthday.Howmany timesdoall the fivegroupsmeetonthesamedaywithin180days?

(a)3(b)5(c)10(d)18Solution:It'sasimpleLCMproblem.FindoutLCMof2,3,4,5and6.

It's 60. SO every 60th day all the five groupsmeet. So in a period of 180 days theymeet

thriceie.,on60thday,120thdayand180thday.Ans:(a)

12. In a class of 45 students, a boy is ranked 20th .When two boys joined, his rankwasdroppedbyone.Whatishisnewrankfromend?

(a)25th(b)26th(c)27th(d)28th

Theboy'srankisdroppedbyone=>hisrankbecomes21st

=>Thereare4721=26belowhisrank

=>Heisranked27thfromendAns:(c)

14. A train travels at a certain average speed for a distance of 63 km and then travels adistanceof72kmatanaveragespeedof6km/hrmorethanitsoriginalspeed.Ifittakes3hourstocompletethetotaljourney,whatistheoriginalspeedofthetraininkm/hr?

15.FourcarsarehiredattherateofRs6perkmplusthecostofdieselatRs40alitre.Inthiscontext,considerthedetailsgiveninthefollowingtable:

Car Mileage(km/l)

Hours TotalPayment(Rs)

A 8 20 2120B 10 25 1950C 9 24 2064

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