[PDF] GATE General Aptitude Previous Questions with Solutions (Subject wise & Chapter wise) Collections from 2010 – 2016

GATE

GENERALAPTITUDE

Previous Questions with solutions Subject wise & Chapter wise (2010 – 2016)

GATE-GENERALAPTITUDESYLLABUS

SyllabusforGeneralAptitude(GA)(COMMONTOALLPAPERS)

Verbal Ability: English grammar,sentence completion, verbal analogies, word groups, instructions, critical reasoning and verbal deduction.

Numerical Ability:Numerical computation,numerical estimation, numerical reasoning and data interpretation.

INDEX

GENEALAPTITUDEQUESTIONSWITHSOLUTIONS

S.No Particulars YEAR PageNo
01 EEEPAPER–I&II 2016 3-9
02 ECEPAPER–I,II&III 2016 10-22
03 MECHPAPER–I,II&III 2016 23-33
04
CIVIL PAPER–I&II 2016 34-41
05 CSEPAPER–I&II 2016 42-49
06 CHEMICALPAPER-I 2016 50-52
07 CIVILPAPER–I 2015 53-55
08 CIVILPAPER–II 2015 56-58
09 CSE-PAPER–I 2015 59-61
10 CSE-PAPER–II 2015 62-64
11 ECE–PAPER–I 2015 65-67
12 ECE–PAPER–II 2015 68-70
13 EEE–PAPER–I 2015 71-73
14 EEE-PAPER–II 2015 74-76
15 MECH–PAPER–I 2015 77-79
16 MECH–PAPER–II 2015 80-82
17 CHEM–PAPER 2015 83-85
18 INSTRUMENTATIONPAPER 2015 86-88
19 CSEPAPER–III 2015 89-91
20 CIVIL–PAPER–I 2014 92-95
21 CIVIL–PAPER–II 2014 96-99
22 CSE–PAEPR–I 2014 100-102
23 CSE–PAEPR–II 2014 103-106
24 CSE–PAEPR–III 2014 107-109
25 ECE–PAPER–I 2014 110-112
26 ECE–PAPER–II 2014 113-116
27 ECE–PAPER–II 2014 117-119
28 EIE–PAPER 2014 120-123
29 MECH-PAPER 2014 124-126
30 ECE–EEE–PAPER 2013 127-130
31 MECH–CSE–PAPER 2013 131-134
32 CIVIL–PAPER 2013 135-137
33 ECE–EEE–PAPER 2012 138-142
34 MECH–CIVIL–CSE-PAPER 2012 143-147
35 MECH–CIVIL–CSE–PAPER 2011 148-151
36 ECE–EEE–PAPER 2011 152-156
37 ECE – EEE – CSE – MECH – CIVIL – PAPER 2010 157-162

EEEPAPER–I

1) ThemanwhoisnowMunicipalCommissionerworkedas
a) thesecurityguardatauniversity b)asecurityguardattheuniversity
c)asecurityguardatuniversity d)thesecurityguardattheuniversity
Ans:(b)
Sol:Option(a)and(d)cannotbetheanswersbecauseoftheword‘thesecurity’

2) Nobody knows how the Indian cricket team is going to cope with the difficult and seamer- friendlywickets in Australia.
Choosetheoptionwhichisclosestinmeaningtotheunderlinedphraseintheabovesentence.
a) putupwith b)putinwith c)putdownto d)putupagainst
Ans:(a)
Sol:‘copewith’meansputupwith

3) Find the odd one in the following group of words. mock, deride , praise, jeer
a) mock b)deride c)praise d)jeer
Ans:(c)
Sol: mock, deride and jeer’ are synonyms which means mockery. Therefore, the odd one is ‘praise’

4) Picktheoddonefromthefollowingoptions.
a) CADBE b)JHKIL c)XVYWZ d)ONPMQ
Ans:(d) Sol:
1 2 8 9 23 24 14 13
a) b) c) d)
CA D BE J H K I L XV YWZ ON PMQIn
options a, b and c, the letters skipped between consecutive pair of letters in the English alphabet is in increasing order (i,e) Aand B, H and I and V and W but in option‘d’ N andM are present instead of M and N so, option ‘d’ is odd one from the group.

5) Inaquadraticfunction,thevalueoftheproductoftheroots)is4.Findthe
nβn

valueof

nβn

a) n4 b)4n c)22n–1 d)4n–1
Ans:(b)

Sol:

αnβn

αnβn

αnβn

nn

αnβn

1 1 βn+αn α β

αnβn

αnβn

αnβnαβn4n

Q.No6-Q.No10Carrytwomarkseach
6) Among 150 faculty members in an institute, 55 are connected with each other through Facebook and 85 are connected through WhatsApp. 30 faculty members do not have Facebook or WhatsApp accounts. The number of faculty members connected onlythroughFacebookaccountsis
a) 35 b)45 c)65 d)90
Ans:(a)
Sol:Totalfacultymembers=150
The faculty members having facebook account = FB = 55 The faculty members having whatsapp = W = 85
The faculty members do not have face book (or) Whats App accounts = 30 The faculty members having any account = 150 – 30 = 120
Thefacultymembershavingboththeaccounts=(FB+W)- 120=(55+85)-120=20
ThenumberoffacultymembersconnectedonlythroughFacebookaccounts
=55-20= 35
Facebook

150

35 20 65

WhatsApp

7) Computers were invented for performing only high-end useful computations. However, it is no understatement that they have taken over our world today. The internet, for example, is ubiquitous.Manybelievethattheinternetitselfisanunintendedconsequenceofthe original invention. Withthe advent of mobile computing on our phones, a whole new dimensionis now enabled. One is left wondering if all these developments are good or,more importantly,required.
Whichofthestatement(s)belowis/arelogicallyvalidandcanbeinferredfrom the above paragraph?
(i) Theauthorbelievesthatcomputersarenotgoodforus.
(ii) Mobilecomputersandtheinternetarebothintendedinventions.
a)(i)only b)(ii)only c)both(i)and(ii) d)neither(i)nor(ii)
Ans:(d)

8) Allhill-stationshavealake.Ootyhastwolakes.
Whichofthestatement(s)belowis/arelogicallyvalidandcanbeinferredfrom the above sentences?
(i) Ootyisnotahill-station.
(ii) Nohill-stationcanhavemorethanonelake.
a)(i)only b)(ii)only c)both(i)and(ii) d)neither(i)nor(ii)
Ans:(d)
Sol: Statement (i) is not true because Ooty is a hill station due Ooty has two lakes statement(ii) is alsonot true, because in given statements, for hill station one lake is compulsory but not mentioned about number of lakes.

9) Ina24rectanglegridshownbelow,eachcellisarectangle.Howmanyrectanglescan beobserved in the grid?

a) 21 b)27 c)30 d)36
Ans:(c)
Sol:Ingiven24rectanglegrid,thefollowingtype ofrectanglesarepresent.
One figured rectangles = 8 Two figured rectangles = 10 Three figured rectangles = 4 Four figured rectangles = 5 Six figured rectangles = 2 Eight figured rectangles = 1 TotalNo.ofrectangles=30
TheNo.ofrectanglesobservedinthegivengrid=30.
10)

Choosethecorrectexpressionforf(x)giveninthegraph.
a) f(x)=1–|x– 1| b)f(x)=1+|x–1|
c)f(x)=2–|x–1| d)f(x)=2+|x–1|
Ans:(c)
Sol:@x=3fromgivengraphf(x)mustbeequalstozero
OptionA
f(x)=1|x1| @ x = 3
f(x)= 1|31|
=12=1
So,itisnot

OptionB
f(x)=1+|x1| @ x = 3
f(x)= 1+|3 1|
=1+2=3
So,itis not
OptionC
f(x)=2|x1| @ x = 3
f(x)= 2|31|
=22=0
So,itis true
OptionD
f(x)=2+|x1| @ x = 3
f(x)= 2|31|
=2+2=4
So,itis not

EEEPAPER–II
1) Thechairmanrequestedtheaggrievedshareholdersto him.
a) barewith b)borewith c)bearwith d)bare
Ans:(c)
Sol:‘bearwith’meanstobepatientwithsomeone

2) Identifythecorrectspellingoutofthegivenoptions:
a) Managable b)Manageable c)Mangaeble d)Managible
Ans:(b)
Sol:‘manageable’isthecorrectspelling

3) Pick the odd one out in the following: 13, 23, 33, 43, 53
a) 23 b)33 c) 43 d)53
Ans:(b)
Sol:Inthegroupofgivennumbers,allareprimenumbersbut33isnot

4) R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes. Which of the following can be logically inferred from the above statements?
a) R2D2isarobotwhichcanonlyrepairaeroplanes.
b) R2D2istheonlyrobotwhichcanrepairaeroplanes.
c) R2D2isarobotwhichcanrepaironlyaeroplanes.
d) OnlyR2D2isarobot.
Ans:(b)
Sol:Thestatement‘Nootherrobotcanrepairaeroplanes’meansR2D2istheonlyrobot which can repair aeroplanes so option (b) is the best inference

5) If|9y–6|=3,then y2– 4y/3is .
a) 0 b)+1/3 c) –1/3 d)undefined
Ans:(c)
Sol:|9y–6|=3 9y – 6 = ± 3
CaseI:9y–6=3
y1
CaseII:9y–6=– 3
y1
3
Substitutey=1
y24y124(1)141
3 3 3 3

Substitute

y1
3
4y

12

4(1/3) 14 1

y2  

  

3 3

3 9 3

Q. 6 toQ.10carrytwomarkseach
6) The following graph represents the installed capacity for cement production (in tonnes) and the actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a plant is defined as ratio of actual production of cement to installed capacity.A plant with installed capacity of at least 200 tonnes is called a large plant and a plant with lesser capacity is called a small plant.The difference between total production of large plants and small plants, in tonnes is

Ans:120
Sol: Installed capacity200 tonneslarge plant Installed capacity < 200 tonnessmall plant Form givenmultiplepiechart,thelargeplantsare1,4,8&9 Total productionoflargeplants=160+190+230+190=770tonnes Totalproductionofsmallplants=150+160+120+100+120=650tonnes Thedifferencebetweentotalproductionoflargeplantsandsmallplantsintonnes =770–650=120 7) A poll of students appearing for masters in engineering indicating that 60% of the students believed that mechanicalengineering is a profession unsuitable for women. A researchstudyonwomenwithmaster orhigher degreesinmechanicalengineeringfoundthat90% of such women were successful in their professions. Whichofthefollowingcanbelogicallyinferredfromtheaboveparagraph? a) Manystudentshavemisconceptionsregardingvariousengineeringdisciplines. b) Men with advanced degrees in mechanical engineering believe women are well suited to be mechanical engineers. c) Mechanical engineering is a profession well suited for women with masters or higher degrees in mechanical engineering. d) Thenumberofwomenpursinghigherdegreesinmechanicalengineeringissmall. Ans:(c) Sol:A poll says that women with masters or higher degrees in mechanical engineers are successful in their professions. This statement leads to the option ‘c’ which is the best inference 8) SouryacommitteehadproposedtheestablishmentofsouryainstitutesofTechnology (SITs) in line with Indian Institutes of Technology (IITs) to cater to the technological and industrial needs of a developing country Which of the following can be logically inferred from the above sentence? Based on the proposal, (i) Intheinitialyears,SITstudentswillgetdegreesfromIIT. (ii) SITswillhaveadistinctnationalobjective. (iii) SITslikeinstitutionscanonlybeestablishedinconsultationwithIIT. (iv) SITswillservetechnologicalneedsofadevelopingcountry. a)(iii)and(iv) only b)(i)and(iv)only c)(ii)and(iv)only d)(ii)and(iii)only Ans:(c) Sol:Option (i) and (iii) state phrases like ‘in the initial years’ and ‘SIT like institutions can onlybeestablishedinconsultationwithIIT’cannotbelogicallyinferredso(ii)and (iv)arethebestinferencesi.e. option(c) 9) ShaquilleO’Nealisa60%careerfreethrowshooter,meaningthathesuccessfullymakes 60freethrowsoutof100attemptsonaverage.Whatistheprobabilitythathewill successfully make exactly 6 free throws in 10 attempts? a)0.2508 b)0.2816 c) 0.2934 d)0.6000 Ans:(a) Sol:n=no.ofattempts=10 x=freethrowssuccessfully=6 Theprobabilitythathewillsuccessfullymakeexactly6freethrowsin10atempts nPX.qnX x P60%60 100 Qq1p 0.6 10C60.660.44 2100.0466560.0256 0.2508 10) Thenumeralintheunitspositionof211870+1461273424is Ans:7 Sol:211870+1461273424=(1)2+(6)31 = 1+2161 =217 Unitsdigit=‘7’ ECEPAPER–I 1) WhichofthefollowingisCORRECTwithrespecttogrammarandusage? Mount Everest is (A) thehighestpeakintheworld (B)highestpeakinthe world (C)oneofhighest peakintheworld (D)oneofthehighestpeakintheworld Ans:(A) Sol: Before superlative article ‘the’ has to be used. ‘one of ’ the expression should takeplural noun and so option ‘C’ and ‘D’ can’t be the answer. 2) Thepolicemanaskedthe victimofatheft,“Whatdid you ?” (A)loose (B)lose (C)loss (D)louse Ans:(B) Sol:‘lose’is verb. 3) Despite the new medicine’s intreating diabetes, it is not widely. (A) effectiveness—prescribed (B)availability used (B) prescription—-available (D)acceptable proscribed Ans:(A) Sol: ‘effectiveness’isnounand‘prescribed’isverb.Thesewordsareaptandbefitting with the word ‘medicine.’ 4) Inahugepileofapplesandoranges,bothripeandunripemixedtogether,15%are unripefruits,oftheunripefruits,45%areapples,oftheripeones,66%areoranges.If the pile contains a total of 5692000 fruits, how many of them are apples? (A)2029198 (B)2467482 (C)2789080 (D)3577422 Ans: (A) Sol:Totalno.offruits=5692000 Unripetypeofapples=45%of15%of5692000 4515 5692000 100 100 =384210 Ripetypeofapples 34 100 85 100 5692000 1644988 Totalno.ofapples=384210+1644988=2029198 5) Michaellives10kmwayfromwhereIlive.Ahmedlives5kmawayandSusanlives7 km away from where I live.Arun is farther away than Ahmed but closer than Susan from where I live. From the information provided here, what is one possible distance (in km) at which I live from Arun’s place? (A)3.00 (B)4.99 (C)6.02 (D)7.01 Ans:(c) Sol:Fromgivendata,thefollowingdiagram ispossible. I=Ilive AH=Ahmedlives; M=Michaellives S=Susanlives; A=Arunlives ArunlivesfartherawaythanAhmedmeansmorethan5kmbutcloserthanSusan meansless than 7 km, from given alternatives, option ‘C’ only possible. Q.6–Q.10Carrytwomarkseach. 6) A person moving through a tuberculosis prone zone has a 50% probability of becoming infected.However,only30%ofinfectedpeopledevelopthedisease.Whatpercentage of peoplemoving through a tuberculosis prone zone remains infected but does not shows symptoms of disease? (A) 15 Ans: (C) Sol: (B) 33 (C) 35 (D) 37 7) Inaworld filledwith uncertainty,hewas gladtohavemany goodfriends.Hehad alwaysassistedthemintimesofneedandwasconfidentthattheywouldreciprocate. However,theeventsofthelastweekprovedhim wrong. Which of the following interference(s) is/are logically valid and can be inferred from theabove passage? (i) Hisfriendswerealwaysaskinghimtohelpthem. (ii) Hefeltthatwheninneedofhelp,hisfriendswouldlethim down. (iii) Hewassurethathis friendswouldhelphim wheninneed. (iv) Hisfriendsdidnothelphimlastweek. (A) (i)and(ii) Ans:(B) (B) (iii)and(iv) (C) (iii)only (D) (iv)only Sol:Thewords‘wasconfidentthattheywouldreciprocate’and‘lastweekprovedhim wrong’ lead to statements iii and iv as logically valid inferences. 8) Leela is older than her cousin Pavithra, Pavithra’s brother Shiva is older than Leela. When PavithraandshivaarevisitingLeela,allthreeliketoplaychess.Pavithrawinsmore often than Leela does. Which one of the following statements must be TRUE based on the above? (A) WhenShiva playschesswithLeelaandPavithra, Heoftenloses. (B) Leelaistheoldestofthethree. (C) ShivaisabetterchessplayerthanPavithra. (D) Pavithra istheyoungestofthethree. Ans: (D) Sol: Fromgivendata,thefollowingarrangementispossible. Shiva Leela Pavithra Amongfouralternatives,optionDisTRUE. 9) If qa1 r andrb1and s SC1,thevalueofabcis . q (A)(rqs)–1 (B)0 (C)1 (D)r+q+s Ans: (C) Sol:qa1 r rb1 s sc1 q 11 qa r 11 rb s 11 sc q qa=r s=rb sc=q qarscarsac=r sacbs sabcs’ abc=1 10) P,Q,R and S are working on a project. Q can finish the task in 25 days, working alone for12 hours a day. R can finish the task in 50 days, working alone for 12 hours per day. Q worked 12 hours a day but took sick leave in the beginning for two days. R worked 18hours a day on all days. What is the ratio of work done by Q and R after 7 days from the start of the project? (A)10:11 (B)11:10 (C)20:21 (D)21:20 Ans: (C) Sol: Qcanfinishthetask=25days,12hrs/day =300hrs,1hr= 1th 300 Rcanfinishthetask=50days,12hrs/day =50× 12 =600hrs,1hr= Qworkinghours(7–2)×12=60hrs Rworkinghours7×18=126hrs 1th 600 After 7 days, the ratio ofwork done by Q and R Q : R ECEPAPER–II 1) Based on the given statements, select the appropriate option with respect to grammarand usage Statements (i) TheheightofMr.Xis6feet. (ii) TheheightofMr.Yis5feet (A) Mr.XislongerthanMr.Y (B) Mr.XismoreelongatedthanMr.Y (C) Mr.XistallerthanMr.Y (D) Mr.XislengthierthanMr.Y Ans:(C) Sol:IndegreesofcomparisonMr.XistallerthanMr.Yisapt. Positive degree – tall Comparative degree – taller Superlativedegree – tallest 2) The students theteacheronteachersdayfortwentyyearsofdedicatedteaching. (A)facilitated (B)felicitated (C)fantasized (D)facillitated Ans:(B) Sol:Felicitatemeanshonour. 3) AfterIndia’scricketworldcupvictoryin1985,Shrotriawhowasplayingbothtennis and cricket till then, decided to concentrate only on cricket.And the restis history.What does the underlined phrase mean in this context? (A)historywillrestinpeace (B)restisrecordedinhistorybooks (C)restiswellknown (D)restinarchaic Ans:(C) Sol:‘restishistory’isanidiomaticexpressionwhichmeans‘restiswellknown’. 4) Given(9inches)1/2=(0.25yards)1/2,whichoneofthefollowingstatementsisTRUE? (A)3inches=0.5yards (B)9inches=1.5yards (C)9inches=0.25yards (D) 81inches=0.0625yards Ans:(C) Sol: Given (9 inches)1/2 = (0.25 yards)1/2 9 inches = 0.25 yards 5) S, M, E and F are working in shifts in a team to finish a project.M works with twice the efficiency ofothersbutforhalfasmanydaysasEworked.SandMhave6hourshifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project? (A)1:1 (B)1:2 (C)1:4 (D)2:1 Ans:(B) Sol: M efficiency = 2 [efficiency of S, E and F] Contribution of M in the project = x days × 6 hrs ×2 Contribution of E in the project = 2x days × 12 hrs ×1 Contribution of M : Contribution of E x × 6 × 2 : 2x × 12 × 1 1:2 Q.6–Q.10Carrytwo markseach 6) TheVenndiagramshowsthepreferenceofthestudentpopulationforleisureactivities. Fromthedatagiven,thenumberofstudentswholiketoreadbooksorplaysportsis (A)44 (B)51 (C)79 (D)108 Ans:(D) Sol:Readbooks=n(R) =12+44+ 7+13 =76 Playsports=n(s) =44+7+17+15 =83 n(RS)=44+ 7 =51 n(RS)=n(R)+n(S)–n(RS) =76+83–51 =108 7) Socialsciencedisciplineswereinexistenceinanamorphousformuntilthecolonial periodwhentheywereinstitutionalized.Invaryingdegrees,theywereintendedto further the colonial interest. In the time of globalization and the economic rise of postcolonialcountrieslikeIndia, conventional ways of knowledge production have become obsolete. Whichofthefollowingcanbelogicallyinferredfrom theabovestatements? (i) Socialsciencedisciplineshavebecomeobsolete. (ii) Socialsciencedisciplineshadapre-colonialorigin (iii) Socialsciencedisciplinesalwayspromotecolonialism (iv) Socialsciencemustmaintaindisciplinaryboundaries (A)(ii)only (B)(i)and(iii)only (C)(ii)and(iv)only (D)(iii)and(iv)only Ans:(A) Sol:Untilthecolonialperiodmeanspre-colonialorigin.Otheroptionscan’tbeinferred. 8) Twoanda quarterhoursback, whenseen inamirror,thereflectionofa wallclock without number markings seemed to show 1:30. What is the actual current time shown by the clock? (A) 8:15 Ans:(D) Sol: Timeback=21 4 (B) 11:15 =2hrs15min (C) 12:15 (D) 12:45 Clocktime(C.T)+MirrorTime(M.T)=12  1.30 60 C.T=12.00 1.30 10.30 Theactualtimeshownbytheclock=10.30+2.15=12.45 9) MandNstartfromthesamelocation.M travels10 kmEastandthen10kmNorth- East.Ntravels5kmSouthandthen4kmSouth-East.Whatistheshortestdistance(in km) between M and N at the end of their travel? (A) 18.60 Ans:(C) (B) 22.50 (C) 20.61 (D) 25.00 Sol:From thegivendata,thefollowingdiagramispossible cos45oDE DE=cos45o×4 =2.828km sin45o EN 4 EN = sin 45o × 4 =2.828 km CN = NE + CE = 2.828 + 5 = 7.828 km CB = AB – AC =10– 2.828 =7.171km (NB)2 = (NC)2 + (BC)2 =(7.828)2+(7.171)2 NB= =10.616km NM=NB+BN=10.616+10 =20.61km 10.Awireoflength340mmistobecutintotwoparts.Oneofthepartsistobemadeinto asquare andthe otherintoarectanglewhere sides are inthe ratio of1:2.Whatisthe length of the side of the square (in mm) such that the combined area of the square and the rectangle is a MINIMUM? (A)30 (B)40 (C)120 (D)180 Ans:(B) Sol:Lengthofthewire=340m Eliminationprocedurefromalternativesoption[C]and[D]arenotpossiblebecausearea may be maximum. Option(A) Sideofthesquare=x=30mm Perimeterofthesquare=30+30+30+30=120mm  Perimeter of the rectangle = 340 – 120 = 220 mm 2x + 2× 2x = 220 x=37 2x=37×2=74 Areaofsquare=x2=(30)2=900 Area of rectangle = x × 2x = 37 × 74 = 2738 Total area = 900 + 2738 = 3638 mm2 Option(B) Sideofthesquare=x=40mm ECEPAPER-III 1) AnapplecostsRs.10.AnonioncostsRs.8. Selectthemostsuitablesentencewithrespecttogrammarandusage. (A) Thepriceofanappleisgreaterthananonion (B) Thepriceofanappleismorethanonion (C) Thepriceofanappleisgreaterthanthatofanonion (D) Applesaremorecostlierthanonions Ans:(C) Sol:Based on the given sentences option ‘C’ is the correct sentence which is in the comparative degree.Option ‘A’ and ‘B’ convey the wrong comparison and ‘D’ has double comparative and so they are wrong. 2) TheBudddhasaid,“Holdingontoangerislikegraspingahotcoalwiththeintentof throwing it at someone else; you are the one who gets burnt.” (A)Burning (B)igniting (C)clutching (D)flinging Ans:(C) Sol:Theunderlinedword‘grasping’meansclutchingorholdingsomethingtightly. 3) MhasasonQandadaughterR.Hehasnootherchildren.EisthemotherofPand daughter-in-law of M.How is P related to M? (A) Pistheson-in-lawofM (B)PisthegrandchildofM (C)PisthedaughterinlawofM (D)PisthegrandfatherofM Ans:(B) Sol:Q and R are the son and daughter of M, E is the mother of P and daughter-in-law of M means Q and E are married couples in the family. PisthegrandchildofM. 4) Thenumberthatleastfitsthisset:(324,441,97and64)is . (A)324 (B)441 (C)97 (D)64 Ans:(C) Sol:In the given set of numbers, all are perfect squares but 97 is not 324 is square of 18(18)2 = 324 441issquareof21(21)2=441 64issquareof8(8)2=64 97isnotthesquareofanynumber Thenumberthatleastfitsingivensetis97. 5) It takes 10s and 15s, respectively, for two trains travelling at different constant speeds to completelypassatelegraphpost.Thelengthofthefirsttrainis120mandthatofthe second train is 150 m.The magnitude of the difference in the speeds of the two trains (inm/s) is . (A)2.0 (B)10.0 (C)12.0 (D)22.0 Ans:(A) Sol:Speedofthetrain (ST) =lengthofthetrain(LT)Distance(D) Time(T) (ST)=LT D T D=Distance(or)lengthoftheplatform =0 Speedofthefirsttrain(ST1)=120=12m/s 10 Speedofthesecondtrain(ST2)=150=10m/s 15 Themagnitudeofthedifferenceinthespeedsofthetwotrains(m/s)=12–10=2 Q.6–Q.10carryTwomarkseach 6) The velocity V of a vehicle along astraight line is measured inm/sandplotted asshown with respect to time in seconds.At the end of the 7 seconds, how much will the odometer reading increase by (in m)? (A)0 Ans:(D) (B)3 (C)4 (D)5 Sol:Theodometerreadingincreasesfromstartingpointtoendpoint Areaofthegivendiagram=Odometerreading Areaofthevelocityandtimegraphpersecond 1stsectriangle=1111 2 2 2ndsecsquare=111 3rdsecsquare+triangle=1111111 4thsectriangle= 2 2 1121 2 5thsecstraightline=0 6thsectriangle= 1111 2 2 7thsectriangle= 1111 2 2 TotalOdometerreadingat7seconds 11111011 5 2 2 2 2 7) The overwhelming number of people infected with rabies in India has been flagged by the World Health Organization as a source of concern.It is estimated that inoculating 70% of pets and stray dogs against rabies can lead to a significant reduction in the number of people infectedwith rabies. Whichofthefollowingcanbelogicallyinferredfrom theabove setences? (A) ThenumberofpeopleinIndiainfectedwithrabiesishigh. (B) Thenumberofpeopleinotherpartsoftheworldwhoareinfectedwithrabiesislow. (C) RabiescanbeeradicatedinIndiabyvaccinating70%ofstraydogs. (D) Straydogsarethemainsourceofrabiesworldwide. Ans:(A) Sol:Onlyoption‘A’canbelogicallyinferredfromtheinformationprovidedinthe argument. 8) Aflatissharedbyfourfirstyearundergraduatestudents.Theyagreedtoallowtheoldestof themtoenjoysomeextraspaceintheflat.ManuistwomonthsolderthanSravan,whois threemonthsyoungerthanTrideep.PavanisonemontholderthanSravan. occupy the extra space in the flat? Whoshould (A) Manu Ans:(C) (B) Sravan (C) Trideep (D) Pavan Sol: Manu age = Sravan age + 2 months Manu age = Trideep age – 3 months Pavan age = Sravan’s age + 1 month FromthisTrideepage>Manu>Pavan>Sravan
Trideepcanoccupytheextraspaneintheflat.

9) Fidtheareaboundedbythelines3x+2y=14,2x-3y=5inthefirstquadrant.

(A) 14.95
Ans:(B)
Sol:

(B) 15.25

(C) 15.70

(D) 20.35

A14,0

B=[0,7],C=5,0,D=0,5,

E=[4,1],F =[0, 1]

3 

2   3

Requiredarea=Areaofle

OAB–Areaofle

CEA

11471145

=  
 3   

1=15.25 sq. units
 

Anothermethod:
Requiredarea=Areaofle

BFE+AreaofFEOC

=1461(42.5)1123.2515.25sq.units
2 2

10) A straight line is fit to a data set (In x, y).This line intercepts the abscissa at In x = 0.1 andhas a slope of –0.02.What is the value of y at x =5 from the fit?
(A)–0.030 (B)–0.014 (C)0.014 (D)0.030
Ans:(A)
Sol:Straightlineequationy=mx+c
m=slope=–0.02 set (log x, y)
Iflogx=X,thenset(x,y) [x=0.1y=0]
ymXC
0=–0.020.1+C
C=0.002
ymXC
y = –0.02logx + C @ x = 5
y=–0.02log5+0.002
=–0.030

MECHPAPER–I

–Q.5carryonemarkeach.
1) Which of the following is CORRECT with respect to grammar and usage? Mount Everest is .
(A) thehighestpeakintheworld
(B) highestpeakintheworld
(C) oneofhighestpeakintheworld
(D) oneofthehighestpeakintheworld
Ans:(A)
Sol:Before superlative article ‘the’ has to be used.“One of”the expressionshouldtake plural noun and so option ‘C’ and ‘D’ can’t be the answer.

2) Thepolicemanaskedthevictimofatheft,“Whatdidyou ?”
(A)loose (B)lose (C)loss (D)louse
Ans:(B)
Sol:‘lose’isverb

3) Despite the newmedicine’s in treatingdiabetes,itis not widely.
(A) effectiveness—prescribed (B)availability—used
(C)prescription—available (D)acceptance—proscribed
Ans:(A)
Sol: ‘effectiveness’ is noun and ‘prescribed’ is verb. These words are apt and befitting with the word ‘medicine’.

4) Inahugepileofapplesandoranges,bothripeandunripemixedtogether,15%are unripe fruits. Of the unripe fruits, 45% are apples. Of the ripe ones, 66% are oranges. Ifthe pile contains a total of 5692000 fruits, how many of them are apples?
(A)2029198 (B)2467482 (C)2789080 (D)3577422
Ans:(A)
Sol:Totalno.offruits=5692000
Unripetypeofapples=45%of15%of5692000

=45
100

×15
100

×5692000=384210

Ripetypeofapples=34
100

×85
100

×5692000=1644988

∴Totalno.ofapples=384210+1644988=2029198
5) Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7km away from where I live. Arun is farther away than Ahmed but closer than Susan from where I live. From the information provided here, what is one possible distance (in km) at which I live from Arun’s place ?
(A)3.00 (B)4.99 (C)6.02 (D)7.01
Ans:(c)
Sol:Fromgivendata,thefollowingdiagramispossible

I =Ilive
AH=Ahmedlives M = Michael lives S = Susan livesA= Arun lives

Q.6–Q.10carrytwomarkseach.
6) A person moving through a tuberculosis prone zone has a 50% probability of becoming infected. However, only 30% of infected people develop the disease. What percentage of people moving through a tuberculosis prone zone remains infected but does not show symptoms of disease?
(A)15 (B)33 (C)35 (D)37
Ans:(C)
Sol:

Option‘C’iscorrect

=70
100

×50
100

35
100

=35%

7) In a world filled with uncertainty, he was glad to have many good friends. He had always assisted them in times of need and was confident that they would reciprocate. However, the events of the last week proved him wrong. Which of the following inference(s) is/are logically valid and can be inferred from the above passage?
(i) Hisfriendswerealwaysaskinghimtohelpthem.
(ii) Hefeltthatwheninneedofhelp,hisfriendswouldlethimdown.
(iii) Hewassurethathisfriendswouldhelphim wheninneed.
(iv) Hisfriendsdidnothelphimlastweek.
(A)(i)and(ii) (B)(iii)and(iv)
(C)(iii)only (D)(iv)only
Ans:(B)
Sol: The words ‘was confident that they would reciprocate’ and ‘last week proved him wrong’ lead to statements iii and iv as logically valid inferences.

8) Leela is older than her cousin Pavithra. Pavithra’s brother Shiva is older than Leela.When Pavithra and Shiva are visiting Leela, all three like to play chess. Pavithra winsmore often than Leela does. Which one of the following statements must be TRUE based on the above?
(A) WhenShivaplayschesswithLeelaandPavithra,heoftenloses.
(B) Leelaistheoldestofthethree.
(C) ShivaisabetterchessplayerthanPavithra.
(D) Pavithraistheyoungestofthethree.
Ans:(D)
Sol: From given data, the following arrangement is possible Shiva
Leela Pavithra
Amongfouralternatives,optionDisTRUE.
9) Ifq−a=1andr−b=1andS−c=1,thevalueofabcis
r s q
(A)(rqs)−1 (B)0 (C)1 (D)r+ q+s
Ans:(C)
Sol:𝑞−𝑎=11=1𝑞𝑎=𝑟
𝑟 𝑞𝑎 𝑟
𝑟−𝑏=11=1𝑆=𝑟𝑏
𝑆 𝑟𝑏 𝑆
𝑆−𝑐=11=1𝑆𝑐=𝑞
𝑞 𝑠𝑐 𝑞
𝑞𝑎 = 𝑟(𝑆𝑐)𝑎= 𝑟𝑆𝑎𝑐 = 𝑟(𝑆𝑎𝑐)𝑏= 𝑆 𝑆𝑎𝑏𝑐= 𝑆1
abc=1 Option‘C’iscorrect
10) P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hours a day. R can finish the task in 50 days, working alone for 12 hours per day.Q worked 12 hours a day but took sick leave in the beginning for two days. R worked 18 hours a day on all days. What is the ratio of work done by Q and R after 7 days from the start of the project?
(A)10:11 (B)11:10 (C)20:21 (D)21:20
Ans:(C)
Sol:Qcanfinishthetask=25days,12hrs/day

=300ℎ𝑟𝑠1ℎ𝑟=1
300

𝑡ℎ

𝑅𝑐𝑎𝑛𝑓𝑖𝑛𝑖𝑠ℎ𝑡ℎ𝑒𝑡𝑎𝑠𝑘=50𝑑𝑎𝑦𝑠,12ℎ𝑟𝑠/𝑑𝑎𝑦=50×12

=600 ℎ𝑟𝑠1ℎ𝑟=1
600
𝑄W𝑜𝑟𝑘𝑖𝑛𝑔ℎ𝑜𝑢𝑟𝑠(7−2)×12=60ℎ𝑟𝑠
𝑅W𝑜𝑟𝑘𝑖𝑛𝑔ℎ𝑜𝑢𝑟𝑠7×18=126ℎ𝑟𝑠
After7days,theratioofWorkdonebyQandR

𝑡ℎ

𝑄 ∶ 𝑅

60

300

∶ 126
600

20 ∶ 21

MECHPAPER–II
Q.1–Q.5carryonemarkeach.
1) Thevolumeofasphereofdiameter1unitis thanthevolumeofacubeofside1unit.
(A)least (B)less (C)lesser (D)low
Ans:(C)
Sol:‘Lesserthan’isaptbecausethesentenceshouldbeincomparativedegree.

2) Theunrulycrowddemandedthattheaccusedbe withouttrial.
(A)hanged (B)hanging (C)hankering (D)hung
Ans:(A)
Sol:‘hanged’meansdeathbyhanging‘hung’isusedonlywiththingsandnotwithpeople.

3) Choosethestatement(s)wheretheunderlinedwordisusedcorrectly:
(i) Aproneisadriedplum.
(ii) Hewaslyingproneonthefloor.
(iii) Peoplewhoeatalotoffatarepronetoheartdisease.
(A)(i)and(iii)only (B)(iii)only (C)(i)and(ii)only (D)(ii)and(iii)only
Ans:(D)
Sol:‘lyingprone’meansliedownflat.‘Proneto’meansvulnerableto.

4) Fact: If it rains, then the field is wet. Read the following statements:
(i) Itrains
(ii) Thefieldisnotwet
(iii) Thefieldiswet
(iv) Itdidnotrain
WhichoneoftheoptionsgivenbelowisNOTlogicallypossible,basedonthegivenfact?
(A)If(iii),then(iv) (B)If(i),then(iii)
(C)If(i),then(ii) (D)If(ii),then(iv)
Ans:(C)
Sol:Statementsiandiiarenotlogicallypossiblebasedonthegivenfact.

5) A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If the perimeter of the window is 6 m, the area of the window in m2 is
(A)1.43 (B)2.06 (C)2.68 (D)2.88
Ans:(B)
Sol: From the given data, the following window is possible The perimeter of the window = 5x = 6 m
6𝑥= =1.20𝑚
5
Areaofthewindow=Areaofsquare+Areaofle
=1.2×1.2+√3×(1.2)2
4
=1.44+0.623=2.06m2

Q.6–Q.10carrytwomarkseach.
6) Students taking an exam are divided into two groups, P and Q such that each group has the same number of students. The performance of each of the students in a test was evaluatedout of 200 marks. It was observed that the mean of group P was 105, while that of group Q was 85. The standard deviation of group P was 25, while that of group Q was 5. Assuming that the marks were distributed on a normal distribution, which of the following statements will have the highest probability of being TRUE?
(A) NostudentingroupQscoredlessmarksthananystudentingroupP.
(B) NostudentingroupPscoredlessmarksthananystudentingroupQ.
(C) MoststudentsofgroupQscoredmarksinanarrowerrangethanstudentsingroupP.
(D) ThemedianofthemarksofgroupPis100.
Ans:(c)
Sol:Group‘P’
Mean()=105
Standarddeviation(σ1)= 25 Pr (μ–  ≤ x ≤ μ + ) ≂ 0.6827
 68% within one standard deviation μ1 –1 = 105 – 25 = 80
μ1+1=105+25=130
range=80to130
DistributionofP:

GroupQ
Mean(2)=85
Standarddeviation(σ2)=5
Pr(μ –≤x≤μ+)≂0.6827
 68% within one standard deviation μ2 –2 = 85 – 5 = 80
μ2+2=85+5=90
range of Q in one standard deviation is80 to 90 68% within one standard deviation of Q is narrower

68%withinonestandarddeviationofQmeansmoststudentsofgroupQ.
Moststudentsofgroup‘Q’scoredmarksinanarrowerrangethanstudentsingroup‘P’

7) A smart city integrates all modes of transport, uses clean energy and promotes sustainable use of resources. It also uses technology to ensure safety and security of the city, something which critics argue, will lead to a surveillance state.
Whichofthefollowingcanbelogicallyinferredfromtheaboveparagraph?
(i) Allsmartcitiesencouragetheformationofsurveillancestates.
(ii) Surveillanceisanintegralpartofasmartcity.
(iii) Sustainabilityandsurveillancegohandinhandinasmartcity.
(iv) Thereisaperceptionthatsmartcitiespromotesurveillance.
(A)(i)and(iv)only (B)(ii)and(iii)only
(C)(iv)only (D)(i)only
Ans:(B)

8) Find the missing sequence in the letter series. B, FH, LNP, _ _ _ _.
(A)SUWY (B)TUVW (C)TVXZ (D)TWXZ
Ans:(C)
Sol:Thefollowingletterseriesisintheorderofevenlettersseries

9) The binary operation□is defined as a□b = a b+(a+b), where a and b are any two real numbers. The value of the identity element of this operation, defined as the number x such that a□x = a, forany a, is .
(A)0 (B)1 (C)2 (D)10
Ans:(A)
Sol:Thebinaryoperationisdefined
a b =ab +(a+b) a x = a
Fromtheequation‘b’isthevariable
OptionA:x=0
ao=a×0+(a+0)=0+a=a
OptionB:x=1
a1=a×1+(a+1)=a+a+1=2a+1
OptionC:x=2
A 2a×2+(a+2)=2a+a+2=3a+2
OptionD:x=10
a10a×10+ (a+10)= 10a+a+10=11a+10
Option‘A’onlyTrue.

10) Whichofthefollowingcurvesrepresentsthefunctiony=ln(|e(|sin(|x|)|)|)for|x|<2π? Here,xrepresentstheabscissaandyrepresentstheordinate. MECHPAPER–III Q. 1–Q.5carryonemarkeach. 1) Based on the given statements, select the appropriate option with respect to grammar and usage. Statements (i) TheheightofMr.Xis6feet. (ii) TheheightofMr.Yis5feet. (A) Mr.XislongerthanMr.Y. (B) Mr. XismoreelongatedthanMr.Y. (C) Mr. XistallerthanMr.Y. (D) Mr.X is lengthier than Mr. Y. Ans: (C) Sol: In degrees of comparison Mr. X is taller than Mr. Y is apt. Positive degree – tall Comparative degree – taller Superlative degree – tallest 2) Thestudents theteacheronteachers’dayfortwentyyearsofdedicated teaching. (A)facilitated (B)felicitated (C)fantasized (D)facillitated Ans:(B) Sol:Felicitatemeanshonour. 3) After India’s cricket world cup victory in 1985, Shrotria who was playing both tennis and cricket till then, decided to concentrate only on cricket. And the rest is history. Whatdoestheunderlinedphrasemeaninthiscontext? (A)historywillrestinpeace (B)restisrecordedinhistorybooks (C)restiswellknown (D)restisarchaic Ans:(C) Sol:‘restishistory’isanidiomaticexpressionwhichmeans‘restiswellknown.’ 4) Given(9inches)½=(0.25yards)½ whichoneofthefollowingstatementsisTRUE? (A)3inches=0.5yards (B)9inches=1.5yards (C)9inches=0.25yards (D) 81inches=0.0625yards Ans:(C) 5) S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts ina day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project? (A)1:1 (B)1:2 (C)1:4 (D)2:1 Ans:(B) Sol: M efficiency = 2 [ efficiency of S,E, and F] Contribution of M in the project =xdays×6hrs×2 ContributionofEintheproject = 2x days×12 hrs×1 Contribution of M : Contribution of E x× 6×2:2x×12×1 1:2 Q.6–Q.10Carrytwomarkseach 6) TheVenndiagramshowsthepreferenceofthestudentpopulationforleisureactivities. Fromthedatagiven,thenumberofstudentswholiketoreadbooksorplaysportsis (A)44 (B)51 (C)79 (D)108 Ans:(D) Sol:Readbooks=n(R)=12+44+7+13=76 Play sports = n(s) = 44 + 7 + 17 +15 = 83 n (R  S) = 44 + 7 = 51 n(RS)=n(R)+n(S)–n(RS)=76+83–51=108 7) Social science disciplines were in existence in an amorphous form until the colonialperiod when they were institutionalized. In varying degrees, they were intended to further the colonial interest In the time of globalization and the economic rise postcolonial countries like India. Conventionalways of knowledge production have become obsolete. Which of the following can be logically inferred from the above statements? (i) Socialsciencedisciplineshavebecomeobsolete (ii) Socialsciencedisciplineshadaprecolonialorigin (iii) Socialsciencedisciplinesalwayspromotecolonialism. (iv) Socialsciencemustmaintaindisciplinaryboundaries. (A) (ii)only (B)(i)and(iii)only (C)(ii)and(iv)only (D)(iii)and(iv)only Ans:(A) Sol:Untilthecolonialperiodmeanspre-colonialorigin.Otheroptionscan’tbeinferred. 8) Two and a quarter hours back, when seen in a mirror, the reflection of a wall clockwithout number markings seemed to show 1:30. What is the actual current time shown by the clock? (A)8:15 (B)11:15 (C)12:15 (D)12:45 Ans:(D) 1 Sol:TimeBack=24=2hrs15min Clocktime(C.T)+MirrorTime(M.T)=12 1.30 60 C.T=12.00 1.30 10.30 Theactualtimeshownbytheclock=10.30+2.15=12.45 9) MandNstartfrom thesamelocation. Mtravels 10km Eastandthen10km.North– East. N travels 5 km South and then 4 km South-East. What is the shortest distance (inkm) between M and N at the end of their travel? (a)18.60 (B)22.50 (C)20.61 (D)25.00 Ans:(C) Sol:Fromthegivendata,thefollowingdiagramispossible 𝑐𝑜𝑠450=𝐷𝐸 4 DE=cos450×4=2.828km 𝑠𝑖𝑛450=𝐸𝑁 4 EN=sin450×4=2.828km 𝐸𝑁=𝑠𝑖𝑛450× 4=2.828 𝑘𝑚 𝑠𝑖𝑛450=𝐸𝑁 4 CN = NE + CE = 2.828 + 5 = 7.828 km CB = AB – AC = 10 – 2.828 = 7.171 km (NB)2=(NC)2+(BC)2=(7.828)2+(7.171)2 ∴𝑁𝐵=√(7.828)2+(7.171)2=10.616𝑘𝑚 NM=NB+BM=10.616+10=20.61km 10) A wire of length 340 mm is to be cut into two parts. One of the parts is to be made into a squareandthe otherintoarectanglewheresidesare intheratioof1:2. Whatisthe lengthofthesideofthesquare(inmm)suchthatthecombinedareaofthesquareand the rectangle is a MINIMUM? (A)30 (B)40 (C)120 (D)180 Ans:(B) Sol:Lengthofthewire=340m CIVILPAPER-I –Q.5carryonemarkeach. 1) Out of the following four sentences, select the most suitable sentence with respect to grammar andusage. (A) Iwillnotleavetheplaceuntiltheministerdoesnotmeetme. (B) Iwillnotleavetheplaceuntiltheministerdoesn’tmeetme. (C) Iwillnotleavetheplaceuntiltheministermeetme. (D) Iwillnotleavetheplaceuntiltheministermeetsme. Ans(D) Soln:‘until’ itself is negative so it can’t take one more negative i.e., does not’. Hence, Option (D) is the right answer 2) Arewordingofsomethingwrittenorspokenisa . (A)paraphrase (B)paradox (C)paradigm (D)paraffin Ans(A) Soln:‘paraphrase’meansarestatementofatext,passageorarewordingofsomethingwrittenor spoken. 3) Archimedessaid,“Givemealeverlongenoughandafulcrumonwhichtoplaceit,andIwill move the world.” Thesentenceaboveisanexampleofa statement. (A)figurative (B)collateral (C)literal (D)figurine Ans(A) Soln: ‘Figurative’ means representingbya figureorresemblance orexpressingone thinginterms normally denoting another with which it may be regarded as analogous. 4) If ‘relftaga’ means carefree, ‘otaga’ means careful and ‘fertaga’ means careless, which of the following could mean ‘aftercare’? (A)zentaga (B)tagafer (C)tagazen (D)relffer Ans:(C) Soln: From given codes Relftagecarefree Otage careful Fertaga careless From these codes, clearly knowthat “ care” means “ taga”. From given alternatives, option ‘C’ is connect. 5) A cube is built using 64 cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting surface area of the body (in square units) after the removal is . (A)56 (B)64 (C)72 (D)96 Ans:(D) Soln: From given data, 64 cubic blocks of one unit sizes are formed No of faces of the Cubeis‘6’ No ofcornersofthe Cubeis ‘8’ After removing one Cubic block from Eachcorner, Theresultingsurfaceareaofthebody= 6(4)=96sq.Units. Q.6–Q.10carrytwomarkseach. 6) A shaving set company sells 4 different types of razors, Elegance, Smooth, Soft and Executive. Elegance sells at Rs. 48, Smooth at Rs. 63, Soft at Rs. 78 and Executive at Rs. 173 per piece. The table below shows the numbers of each razor sold in each quarter of a year. Quarter\Product Elegance Smooth Soft Executive Q1 27300 20009 17602 9999 Q2 25222 19392 18445 8942 Q3 28976 22429 19544 10234 Q4 21012 18229 16595 10109 Whichproductcontributesthegreatestfractiontotherevenueofthecompanyinthatyear? (A)Elegance (B)Executive (C)Smooth (D)Soft Ans(B) Elegance Smooth Soft Executive 27300 20009 17602 9999 25222 19392 18445 8942 28976 22429 19544 10234 21012 18229 16595 10109 102510 80059 72186 39284 Rs.48 Rs.63 Rs.78 Rs.173 Totalrevenue 102510 48 80059 63 72186 78 39284 173 4920480 5043717 5630508 6796132 Morerevenueisonexecutive 7) Indian currency notes show the denomination indicated in at least seventeen languages. If this is not an indication of the nation’s diversity, nothing else is. Whichofthefollowingcanbelogicallyinferredfromtheabovesentences? (A) Indiaisacountryofexactlyseventeenlanguages. (B) Linguisticpluralismistheonlyindicatorofanation’sdiversity. (C) IndiancurrencynoteshavesufficientspaceforalltheIndianlanguages. (D) LinguisticpluralismisstrongevidenceofIndia’sdiversity. Ans:(D) Soln: If seventeen languages were not an indication of the nation’s diversity, nothing else isif nothing else is so the best inference is option ‘D’ 8) ConsiderthefollowingstatementsrelatingtothelevelofpokerplayoffourplayersP,Q,RandS. I. PalwaysbeatsQ II. RalwaysbeatsS III. SlosestoPonlysometimes IV. RalwayslosestoQ Whichofthefollowingcanbelogicallyinferredfromtheabovestatements? (i) Pislikelytobeatallthethreeotherplayers (ii) Sistheabsoluteworstplayerintheset (A) (i) only (B)(ii)only (C)(i)and(ii) (D)neither(i)nor(ii) Ans:(A) Soln: From the given data Player P > Player Q Player R > Player S
Players S < Player P (Sometimes only) Player R < Player Q Player‘P’>Player‘Q’>Player‘R’>Players‘S’
Logically,thestatement(i)isdefinitelytrue,butstatement(ii)isnot
Option‘A’istrue

9) Iff(𝑥)=2𝑥7+3𝑥−5,whichofthefollowingisafactoroff(x)?
(A)(x3+8) (B)(x-1) (C)(2x-5) (D)(x+1)
Ans:(B)
Soln:option(A)
X3+8=0.×3=-8.x=-2
Sub x =-2, in f (x) =2×7 +3x-5 F(-2) =2 (-2)7 + 3 (-2) -5
=-256-6-5=-267
Thisisnotafactoroff(x)
Option(B)
X-1=0,X=1
Sub @ x =1, in f (x) = 2×7 + 3x-5 F(1) = 2(1)7 + 3 (1) -5 =5-5=0
thisisafactoroff(x)
Option(C)
2x–f=0,x=5/2
Sub@x=5/2inf(X)=2×7+3x-5
5 57 5

𝑓=(2)=2(2)
=-2-3-5=-10

+3(2)−5

Thisisnotafactoroff(x)
Option‘B’istrue

10) In a process, the number of cycles to failure decreases exponentially with an increase in load. At a load of 80 units, it takes 100 cycles for failure. When the load is halved, it takes 10000 cycles for failure. The load for which the failure will happen in 5000 cycles is .
(A)40.00 (B)46.02 (C)60.01 (D)92.02
Ans(B)
Soln:Load failureforcycles
80 100
40 10000
Thereisonefailure5000cyclesloadmustbebetween80and40
46.02

CIVILPAPER-II
Q.1–Q.5carryonemarkeach.
1) If I were you, I thatlaptop.It’smuchtooexpensive.
(A)won’tbuy (B)shan’tbuy (C)wouldn’tbuy (D)wouldbuy
Ans:(C)
Soln: In if clause (type2)’were’ is in the past tense so the so main clause should be in the conditional clause. Therefore ‘C’ is the best answer.

2) Heturnedadeafeartomyrequest.Whatdoestheunderlinedphrasalverbmean?
(A)ignored (B)appreciated (C)twisted (D)returned
Ans:(A)
Soln:‘turnedadeafear’meansignored.

3) Choosethemostappropriatesetofwordsfromtheoptionsgivenbelowtocompletethe following sentence. is a will, is a way.
(A) Wear,there,their (B)Were,their,there
(C)Where,there,there (D)Where,their,their
Ans:(C)
Soln:wherethereisawillthereisaway.Itisaquotation.

4) (x%ofy)+(y%of x)isequivalentto
(A)2%ofxy (B)2%of(xy/100) (C)xy%of100 (D)100%ofxy
Ans:(A)

Soln:(x%ofy)+(y%ofx)=x
100

×y+y×x
100

=xy+xy
100
=2xy
100
=2%ofxy
5) The sum of thedigits ofatwodigitnumberis 12. If the new numberformed byreversing the digits is greater than the original number by 54, find the original number.
(A)39 (B)57 (C)66 (D)93
Ans:(A)
Soln: The new number formed by reversing the digits is greater than the original number is possible in options A and B only.
Option‘a’:
Sum of two digits in the number = 3+9=12 Afterreversingthetwodigitsnumber=93
Thedifferencebetweenthenewnumberformedandoriginalnumber=93-39=54
option‘A’iscorrect.
Option‘b’:
Originalnumber=57
Afterreversing,thenumberisformed=75
Thedifferencebetweenthesetwonumbers=75-57=18
itisnot.

6) Two finance companies, P and Q, declared fixed annual rates of interest on the amounts investedwiththem.Theratesofinterestofferedbythesecompaniesmaydifferfromyear to year. Year-wise annual rates of interest offered by these companies are shown by the line graph provided below.

Iftheamountsinvestedinthecompanies,PandQ,in2006areintheratio8:9,thenthe amounts received after one year as interests from companies P and Q would be in the ratio:
(A)2:3 (B)3:4 (C)6:7 (D)4:3
Ans:(D)
Soln: The amounts invested in the companies of P and Q in 2006 = 8:9 The rate of interest of company ‘P’ in 2006 = 6%
Therateofinterestofcompany‘Q’in2006=4%
TheamountsreceivedafteroneyearbyPandQcompaniesin2006year
P : Q
6%of8 : 4%of9

6
100

×8 ∶ 4× 9
100

4 : 3
7) Today, we consider Ashoka as a great ruler because of the copious evidence he left behindintheformofstonecarvededicts.Historianstendtocorrelategreatnessofakingathis time with the availability of evidence today. Which of the following can be logicallyinferred from the above sentences?
(A) Emperorswhodonotleavesignificantsculptedevidencearecompletelyforgotten.
(B) Ashokaproducedstonecarvededictstoensurethatlaterhistorianswillrespecthim.
(C) Statuesofkingsareareminderoftheirgreatness.
(D) Aking’sgreatness,asweknowhimtoday,isinterpretedbyhistorians.
Ans:(D)
Soln: Today, historianscorrelate greatness of a king at his time with the availability of evidence. This statement leads to the best inference option ‘d’

8) Fact1:Humansaremammals.
Fact 2: Some humans are engineers. Fact 3: Engineers build houses.
Iftheabovestatementsarefacts,whichofthefollowingcanbelogicallyinferred?
I. Allmammalsbuildhouses.
II. Engineersaremammals.
III. Somehumansarenotengineers.
(A)IIonly. (B)IIIonly. (C)I,IIandIII. (D)Ionly.

Ans:(B)
Soln: From given facts, the following venn diagram is possible H= Humans
M= mammals E=Engineers
BH=Buildhouses
Fromabovediagram,statementIIIistrue

9) Asquarepyramidhasabaseperimeterx,andtheslantheightishalfoftheperimeter. What is the lateral surface area of the pyramid?
(A)x2 (B)0.75×2 (C)0.50×2 (D)0.25×2
Ans:(D)
Soln:

Base perimeter of square pyramid = x =p Slant height = 𝑥 = 𝑙
2
Lateralsurfaceareaofpyramid
=1×𝐵𝑎𝑠𝑒perimeter(P)slantheight(l)
2
𝑥 1
2=2×𝑝×𝑙
1 𝑥
=2×𝑥×2
𝑥2
=4
=0.25×2

10) Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the book at the same time. After how many hours is the number of pages to be read by Ananth, twice that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A)1 (B)2 (C)3 (D)4
Ans:(C)
Soln: Ananth takes 6 hours to read a book Bharathtakes4hourstoreadabook
L.C.M=12
The number of pages ready by Anath and Bharath must be 12 (or) multiple of 12 only If Anath read 12 number of pages in 6 hrs
1hr=12=2𝑝𝑎𝑔𝑒𝑠
6
Ifbharathread12numberofpagesin4hrs
1hr=12=3𝑝𝑎𝑔𝑒𝑠
4

After3hoursisthenumberofpagestobereadbyAnanth,twicethattobereadybyBharath.

CSEPAPER–I
Q.1–Q.5carryonemarkeach.
1) Outofthefollowingfoursentences,selectthemostsuitablesentencewithrespecttogrammar and usage.
(A) Iwillnotleavetheplaceuntiltheministerdoesnotmeetme.
(B) Iwillnotleavetheplaceuntiltheministerdoesn’tmeetme.
(C) Iwillnotleavetheplaceuntiltheministermeetme.
(D) Iwillnotleavetheplaceuntiltheministermeetsme.
Ans(D)
Soln:‘until’itselfisnegativesoitcan’ttakeonemorenegativei.e.,doesnot’.Hence, Option (D) is the right answer.

2) Arewordingofsomethingwrittenorspokenisa .
(A)paraphrase (B)paradox (C)paradigm (D)paraffin
Ans(A)
Soln: ‘paraphrase’ means a restatement of a text, passage or a rewording of something written or spoken.

3) Archimedes said,“Givemealever longenoughandafulcrum onwhichtoplaceit,andI will move the world.” The sentence above is an example of a statement.
(A)figurative (B)collateral (C)literal (D)figurine
Ans(A)
Soln:‘Figurative’ means representing by a figure or resemblance or expressing one thing in terms normally denoting another with which it may be regarded as analogous.

4) If ‘relftaga’meanscarefree,‘otaga’meanscarefuland‘fertaga’meanscareless, whichof the following could mean ‘aftercare’?
(A)zentaga (B)tagafer (C)tagazen (D)relffer
Ans:(C)
Soln: From given codes Relftagecarefree Otage careful Fertaga careless
From these codes, clearly know that “ care” means “ taga”. From given alternatives, option ‘C’ is connect.
5) A cube is built using 64 cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting surface area of the body (in square units) after the removal is .
(A)56 (B)64 (C)72 (D)96
Ans:(D)
Soln: form given data, 64 cubic blocks of one unit sizes are formed No of faces of the
Cubeis‘6’
Noofcornersofthe Cub is ‘8’

Afterremovingone Cubic block from Each corner,
Theresultingsurfaceareaofthebody=6(4)=96sq.Units.

Q.6–Q.10carrytwomarkseach.
Q.6. A shaving set company sells 4 different types of razors, Elegance, Smooth, Soft and Executive.ElegancesellsatRs.48,SmoothatRs.63,SoftatRs.78andExecutiveat Rs. 173 per piece. The table below shows the numbers of each razor sold in each quarter ofa year.
Quarter/Product Elegance Smooth Soft Executive
Q1 27300 20009 17602 9999
Q2 25222 19392 18445 8942
Q3 28976 22429 19544 10234
Q4 21012 18229 16595 10109
Whichproductcontributesthegreatestfractiontotherevenueofthecompanyinthatyear?
(A)Elegance (B)Executive (C)Smooth (D)Soft
Ans:(B)
Soln:TotalNo.ofrazorsElegancetypefromallfourquarters
=27300+25222+28976+201012
=102510
TotalNo.ofrazorsofsmoothtypefromallfourquarters
=20009+19392+22429+18229
=80059
TotalNo.ofrazorsofsofttypefromallfourQuarts
=17602+18445+19544+16595
=72186
Total.No.ofrazorsofExecutivetypefromallfourQuarters
=9999+8942+10234+10109
=39286
The revenue of the company in that year of 4 different types of razors Elegance = 102510 48 = 49,20,480
Smooth=8005963=50,43,717
Soft = 7218678=56,30,508
Executive=39284193=67,96,132
TheExecutiveofrazorscontributesthegreatestrevenueofthecompanyinthatyear.

7) Indian currency notes show the denomination indicated in at least seventeen languages. If thisisnotanindicationofthenation’sdiversity,nothingelseis.Whichofthefollowing can be logically inferred from the above sentences?
(A) Indiaisacountryofexactlyseventeenlanguages.
(B) Linguisticpluralismistheonlyindicatorofanation’sdiversity.
(C) IndiancurrencynoteshavesufficientspaceforalltheIndianlanguages.
(D) LinguisticpluralismisstrongevidenceofIndia’sdiversity.
Ans:(D)
Soln: If seventeen languages were not an indication of the nation’s diversity, northing else is. If northing else is so the best inference is option ‘D’

8) Consider the following statements relating to the level of poker play of four players P, Q, R and S.
I. PalwaysbeatsQ
II. RalwaysbeatsS
III. SlosestoPonlysometimes
IV. RalwayslosestoQ
Whichofthefollowingcanbelogicallyinferredfromtheabovestatements?
(i) Pislikelytobeatallthethreeotherplayers
(ii) Sistheabsoluteworstplayerintheset
(A)(i)only (B)(ii)only (C)(i)and(ii) (D)neither(i)nor(ii)
Ans:(A)
Soln:From the given data Player P > player Q Player R > player S
Player S< Player P (sometimes only) Player R < Player Q Player‘P’>Player‘Q’>Player‘R’>Players‘S’
Logically,thestatement(i)isdefinitelytrue,butstatement(ii)isnot
Option‘A’istrue

9) Iff(𝑥)=2𝑥7+3𝑥−5,whichofthefollowingisafactoroff(x)?
(A)(x3+8) (B)(x-1) (C)(2x-5) (D)(x+1)
Ans:(B)
Soln:F(X)=2×7+3x-5forX=1theequationsissatisfied.Thefactoris(X-1)

10) In a process, the number of cycles to failure decreases exponentially with an increase inload. At a load of 80 units, it takes 100 cycles for failure. When the load is halved, it takes 10000 cycles for failure. The load for which the failure will happen in 5000 cycles is .
(A)40.00 (B)46.02 (C)60.01 (D)92.02
Ans:(B)
Soln:  load cycles for failure  exponentially Eg : load = x
Cyclesforfailure=y
𝑥=𝑦2𝑥=𝑦3𝑥=𝑦4
2 3 4

By elimination procedure from options. Option (A)
Load=40units,itsaysthat,theloadishalved,ittakes10,000cyclesforfailure
80=(100)2
2
40units=10,000cycles,itisnot
Option(D)
Load = 92.02 units means it is more than 80 units, so it is not. Option (C)
Load=60.01units
3(80units)=60.01units
4
Formthegivenrelation
3(80units)=(10)4/3=(100)1×(100)1/3=100×4.64=464
4
Itis not
Option(B)onlypossible
Attheloadof46.02units,thefailurewillhappenin5000cycles.

CSEPAPER–II
Q.1–Q.5carryonemarkeach.
1) ThemanwhoisnowMunicipalCommissionerworkedas .
(A)thesecurityguardatauniversity (B)asecurityguardattheuniversity
(C)asecurityguardatuniversity (D)thesecurityguardattheuniversity
Ans:(B)
Soln:Option(A)and(D)cannotbetheanswerbecauseofthe‘thesecurity’

2) Nobody knows how the Indian cricket team is going to cope with the difficult and seamer- friendly wickets in Australia. Choose the option which is closest in meaning to the underlined phrase in the above sentence.
(A)putupwith (B)putinwith (C)putdownto (D)putupagainst
Ans:(A)
Soln:‘copewith’meansputupwith.

3) Findtheoddoneinthefollowinggroupofwords.mock,deride,praise,jeer
(A)mock (B)deride (C)praise (D)jeer
Ans:(C)
Sol:‘mock,derideandJeer’aresynonymswhichmeansmockery.Thereforetheoddis ‘praise’

4) Picktheoddonefromthefollowingoptions.
(A)CADBE (B)JHKIL (C)XVYWZ (D)ONPMQ
Ans:(D)
Soln:

In option A, B and C, the letters skipped between consecutive pair of letters in the English alphabet is in increasing order (i.e) A and B , H and I and V and W but in option ‘D’ N and M are present instead of M and N so, option ‘D’ is odd one from the group.

5) Inaquadraticfunction,thevalueoftheproductoftheroots(α,β)is4.Findthevalueof
𝛼𝑛+𝛽𝑛
𝛼−𝑛+𝛽−𝑛
(A)n4 (B)4n (C)22n-1 (D)4n-1
Ans:(B)

Soln:

𝛼𝑛 + 𝛽𝑛

𝛼𝑛+𝛽𝑛

𝛼−𝑛+ 𝛽−𝑛=

𝛼𝑛+ 𝛽𝑛

1
𝛼𝑛
𝑛

1
𝛽𝑛
𝑛

𝛽𝑛+𝛼𝑛
𝛼𝑛+𝛽𝑛

=𝛼

×𝛽

𝛼𝑛×𝛽𝑛=(𝛼×𝛽)𝑛=(4)𝑛

Q. 6–Q.10carrytwomarkseach.
6) Among 150 faculty members in an institute, 55 are connected with each other through Facebook® and 85 are connected through Whats App®. 30 faculty members do not have Facebook® or WhatsApp® accounts. The number of faculty members connected onlythrough Facebook® accounts is .
(A)35 (B)45 (C)65 (D)90
Ans:(A)
Soln:Totalfacultymembers=150
The faculty members having facebook account = FB = 55 The faculty members having whatsApp = W = 85
The faculty members do not have face book (or) WhatsApp accounts = 30 The faculty members having any account = 150 – 30 = 120
Thefacultymembershavingboththeaccounts=(FB+W)–120=(55+85)-120=20
ThenumberoffacultymembersconnectedonlythroughFacebookaccounts=55–20=35

7) Computers were invented for performing only high-end useful computations. However, it is no understatement that they have taken over our world today. The internet, for example, is ubiquitous.Manybelievethattheinternetitselfisanunintendedconsequenceofthe original invention. With the advent of mobile computing on our phones, a whole new dimensionis now enabled. One is left wondering if all these developments are good or,more importantly, required. Which of the statement(s) below is/are logically valid and canbe inferred from the above paragraph?
Q. Theauthorbelievesthatcomputersarenotgoodforus.
R. Mobilecomputersandtheinternetarebothintendedinventions
(A)(i)only (B)(ii)only (C)both(i)and(ii) (D)neither(i)nor(ii)
Ans:(B)

Soln: The first and second sentences tell us that computers are invented for computationand internet for intended invention. These sentences lead to option ii so option (B)n is the right inference

8) Allhill-stationshavealake.
Ooty has two lakes. Which of the statement(s) below is/are logically valid and can be inferred from the above sentences?
Q. Ootyisnotahill-station.
R. Nohill-stationcanhavemorethanonelake.
(A)(i)only (B)(ii)only (C)both(i)and(ii) (D)neither(i)nor(ii)
Ans:(D)
Soln:Statement(i) is not true because Ooty is a hill station due Ootyhas two lakesstatement (ii) is also not true, because in given statements., for hill station one lake is compulsory but not mentioned about number of lakes.

9) In a 2 × 4 rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the grid?

(A)21 (B)27 (C)30 (D)36
Ans:(C)
Soln: In given 2 x 4 rectangle grid, the following type of rectangles are present One figured rectangles = 8
Two figured rectangles = 10 Three figured rectangles = 4 Four figured rectangles = 5 Six figured rectangles = 2 Eight figured rectangles = 1 TotalNo.ofrectangles=30
TheNo.ofrectanglesobservedinthegivengrid=30

10)

Choosethecorrectexpressionforf(x)giveninthegraph.
(A)f(𝑥)=1−|𝑥−1| (B)𝑓(𝑥)=1+|𝑥−1|
(C)f(𝑥)=2−|𝑥−1| (D)𝑓(𝑥)=2+|𝑥−1|

Ans:(C)
Soln: @ x = 3 from given graph f(x) must be equals to zero Option A
f(x)=1-x-1 @ x = 3
f(x)1-3-1
=1-2=-1
So,itisnot Option B
f(x)=1-x-1 @ x = 3
f(x)1+3-1
=1+2=3
So,itisnot Option C
f(x)=2-x-1 @ x = 3
f(x)2-3-1
=2 -2=0
So,itistrue Option D
f(x)=2+x-1 @ x = 3
f(x)=2-3-1
=2+2=4
So,itisnot

CHEMICALPAPER–I
–Q.5carryonemarkeach.
1) Thevolumeofasphereofdiameter1unitis thanthevolumeofacubeofside1unit.
(A)least (B)less (C)lesser (D)low
Ans:(B)

2) Theunrulycrowddemandedthattheaccusedbe withouttrial.
(A)hanged (B)hanging (C)hankering (D)hung
Ans:(A)

3) Choose(Thestatement(s)wheretheunderlinedwordisusedcorrectly:
(i) Aproneisadriedplum. (ii)Hewaslyingproneonthefloor.
(iii)Peoplewhoeatalotoffatarepronetoheartdisease.
(A)(i)and(iii)only (B)(iii)only (C)(i)and(ii)only (D)(ii)and(iii)only
Ans:(D)

4) Fact: If it rains, then the field is wet. Read the following statements:
(i) Itrains (ii)Thefieldisnotwet
(iii)Thefieldiswet (iv)Itdidnotrain
WhichoneoftheoptionsgivenbelowisNOTlogicallypossible,basedonthegivenfact?
(A)If(iii),then(iv). (B)If(i),then(iii).
(C)If(i),then(ii). (D)If(ii).then(iv).
Ans:(C)

5) A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If the perimeter of the window is 6 in, the area of the window in m2 is
(A)1.43 (B)2.06 (C)2.68 (D)2.88
Ans:(B)

Q.6–Q.10carrytwomarkseach.
6) Students taking an exam are divided into two groups, P and Q such that each group has the same number of students. The performance of each of the students in a test was evaluatedout of 200 marks. It was observed that the mean of group P was 105, while that of group Q was 85. The standard deviation of group P was 25, while that of group Q was 5.Assuming that the marks were distributed on a normal distribution, which of the following statements will have the highest probability of being TRUE?
(A) NostudentingroupQscoredlessmarksthananystudentingroupP.
(B) NostudentingroupPscoredlessmarksthananystudentingroupQ.
(C) MoststudentsofgroupQscoredmarksinanarrowerrangethanstudentsingroupP.
(D) ThemedianofthemarksofgroupPis100.
Ans:(C)

7) A smart city integrates all modes of transport, uses clean energy and promotes sustainable use of resources. It also uses technology to ensure safety and security of the city,something which critics argue, will lead to a surveillance state.
Whichofthefollowingcanbelogicallyinfectedfromtheaboveparagraph?
(i) Allsmartcitiesencouragetheformationofsurveillancestates.
(ii) Surveillanceisanintegralpartofasmartcity.
(iii) Sustainabilityandsurveillancegohandinhandinasmartcity.
(iv) Thereisaperceptionthatsmartcitiespromotesurveillance.
(A) (i)and(iv) only
(B) (ii)and(iii)only
(C) (iv)only
(D) (i) only
Ans:(C)

8) Findthemissingsequenceintheletterseries.
B,FH,LNP,____
(A) SUWY
(B) TUVW
(C) TVXZ
(D) TWXZ
Ans:(C)
9) Thebinaryoperationisdefinedasa□babab,whereaandbareanytworeal
numbers.Thevalueoftheidentityelementofthisoperation,definedasthenumberx
such thata□, for any a, is
(A)0 (B)1 (C)2 (D)10
Ans:(A)
 sinx

10) Whichofthefollowingcurvesrepresentsthefunctiony

lne 

for

x2?

Here, x represents the abscissa and y represents the ordinate. (A)

2 

1.5
1
0.5
0
0.5
1
1.5

 2

(B)
1.5

2 
Ans:(C)

 2