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Question1.

[A] II



Question7.'x'gmofahydrocarbonC2H4isburnedinexcessofO2toproduceCO2andH2Oaccordingtofollowingreaction:

Thegasproducediscompletelyreactedwith2L,2MNaOHsolution.Thevalueof'x'is:[A] 7[B] 14[C] 28[D] 56

Question8.Therearetwoisotopesofanelementwithaverageatomicmassz.Theheavieronehasatomicmass'z+1'andlighteronehas'z2',thenabundanceoflighteroneis:[A] 66.6%[B] 96.7%[C] 6.67%[D] 33.3%

Question9.AccordingtothementionedreactionswithyieldshowmuchCaC2isrequiredtoobtain2molofCO2?

[A] 2mol[B] 4mol[C] 8mol[D] Noneofthese

Question10.10Lof0.1MH2O2solutionismixedwith10LKMnO4(0.02M).VolumestrengthofresultingH2O2solutionis:

[A] 0.28vol[B] 0.56vol[C] 1.12vol[D] 2.24vol

Question11.Sodiumhypochlorite(NaOCl)isagoodoxidizingagentinalkalinemedium.Whatvolumeofa0.15MalkalinesolutionofNaOClwouldberequiredtooxidizecompletelya20mL0.2MNaCrO2solutionaccordingtothereaction:

[A] 80ml[B] 40mL[C] 20mL[D] 10mL

Question12.Simplestempiricalformulaofacompoundcontaining60%ofelementA(atomicmass10)and40%ofelementB(atomicmass20)is:

[A]

[B]

[C]



[D] Noneofthese

Question13.Whatvolumeofhydrogen(inlitres)willbeliberatedatNTPbyreactionofZnwith20mlofdiluteH2SO4solutionofspecificgravityof2.45andcontaining40%ofH2SO4byweight?

[A] 4.48[B] 44.8[C] 8.96[D] 2.24

Question14.Whichofthefollowingrepresentredoxreactions?

I.

II.

III.

IV.

Thecorrectoptionis:[A] I,II[B] I,III[C] III,IV[D] II,III,IV

Question15.100mLof0.1MBaCl2solutionismixedwith100mLof0.3MNa2CO3solution.Afterfilteringofftheprecipitate,theresidualsolutionistitratedagainst0.5MHCl.Thevolumeofacidconsumedattheendpointis:[A] 40mL[B] 80mL[C] 160mL[D] Noneofthese

Question16.AbottleofH2O2islabeledas"15vol"H2O2.112mLofthissolutionofH2O2istitratedagainst0.05MacidifiedsolutionofKMnO4.ThevolumeofKMnO4requiredis:

[A] 0.6L[B] 1.2L[C] 2.4L[D] 12.0L

Question17.200mLof0.2MH3PO4wastitratedwith0.1MCa(OH)2solution.Thetitrationwasdiscontinuedafteradding100mLofCa(OH)2solution.TheremainingtitrationwascompletedbyaddingM/6Al(OH)3solution.ThevolumeofAl(OH)3requiredformcompetingthetitrationis:[A] 200mL[B] 300mL[C] 120mL[D] 60mL

Question18.



'p'molesofasalt, isdissolvedinwatertopreparea200mLofansolution.Itrequired500mLofa solutionof

inpresenceofexcessof .Thevalueof'p'is:

[A] 0.5[B] 0.25[C] 0.33[D] Noneofthese

Question19.Onemolofpotassiumchlorate(KClO3)isthermallydecomposedandexcessofaluminiumisburntinthegaseousproduct.Howmanymolofaluminiumoxideareformed?[A] 1mol[B] 1.5mol[C] 2mol[D] 3mol

Question20.Whichofthefollowingcompoundcanactasoxidizingaswellasreducingagent?

I.H2O2II.I2III.F2IV.HNO3

Thecorrectchoiceis:[A] I,II,III[B] I,II[C] I,II,III,IV[D] Ionly

Question21.ExcessofKIreactswithCuSO4solutionandthenNa2S2O3solutionisaddedtoit.

I.Na2S2O3isoxidisedII.CuI2isformed

III.Cu2I2isformedIV.EvolvedI2reduced

Thecorrectchoiceis:[A] I,II[B] II,III[C] I,III,IV[D] I,II,III

Question22.500mlof0.4MH2SO4and1500mlof0.2MNaOHaremixed.Theconcentrationoftheionsinfinalsolution

[A]

[B]

[C]

[D]

Question23.Considerthefollowingtwocases:

Case1:V1mlofNaClsolution(havingconcentrationsM1,N1andS1)isdilutedbyadditionofsomewatertomakeaV2mlNaClsolution(havingconcentrationsM2,N2andS2)

Case2:V3mlofNaOHsolution(havingconcentrationsM3,N3andS3)istitratedwithV4mlofH2SO4solution(havingconcentrationsM4,N4andS4)forcompleteneutralisation.



(whereMisMolarity,NisNormality,SisStrengthandVisvolumeofsolution)

Whichofthefollowingstatementsarecorrect:

Thecorrectchoiceis:[A] I,II[B] III,IV[C] I,IV[D] II,III

Question24.100mlof0.1MNaAl(OH)2CO3solutioniscompletelyneutralisedbyastandardsolutionofM/8H2SO4.ThevolumeofH2SO4requiredis:[A] 80mL[B] 320mL[C] 100mL[D] 160mL

Question25.Asolutioncontaining200mLof0.5MBaCl2and400mLof0.5MH2SO4isdilutedto1000mL.Thevolumeof0.1MBa(OH)2requiredtoneutralise100mLofabove(diluted)solutionis:[A] 200mL[B] 2000mL[C] 1000mL[D] 100mL

Question26.Theresultantoftwovectors and isperpendiculartothevector anditsmagnitudeisequaltohalfofthemagnitudeof

vector .

Theanglebetween and is:

[A] 120o[B] 150o[C] 135o[D] Noneofthese

Question27.

Whatistheanglebetween ,if aretheadjacentsidesofaparallelogramdrawnfromacommonpointandtheareaoftheparallelogramisAB/2?

[A] 150[B] 300[C] 450[D] 600



Question28.

If and ,thevectorhavingthesamemagnitudeasthatof andparallelto is:

[A]

[B]

[C]

[D]

Question29.

Twovectors areatanangleof600witheachother.Theirresultantmakesanangleof450with .If units,

then is:

[A]

[B]

[C]

[D]

Question30.Ahorizontalforceof25Nisnecessarytojustholdablockstationaryagainstawall.Thecoefficientoffrictionbetweentheblockandwallis0.4.Theweightofblockis:

[A] 2.5N[B] 20N[C] 10N[D] 5N

Question31.

Theresultant of and isperpendicularto .Also, .Theanglebetween is

[A] rad

[B] rad

[C] rad

[D] rad



Question32.Amancanrowaboat4km/hrinstillwater.Ifheiscrossingariverwherethecurrentis2km/hr,thenanswerthefollowings

Inwhatdirectionshouldhisboatbeheadedifhewantstoreachapointontheotherbank,directlyoppositetostartingpoint?

[A] 120ofromdirectionofdownstream[B] 120ofromdirectionofupstream[C] 60ofromdirectionofdownstream[D] Perpendiculartotheflowofriver


Ifwidthoftheriveris4kmhowlongwillittakehimtocrosstheriver,withtheconditioninabovequestion?

[A] hr

[B] hr

[C] hr

[D] hr


Inwhatdirectionshouldheheadtheboatifhewantstocrossriverinshortesttime?

[A] 120ofromdirectionofdownstream[B] 120ofromdirectionofupstream[C] 60ofromdirectionofdownstream[D] Perpendiculartotheflowofriver

Question35.Acarismovingtowardssouthwithaspeedof20m/s.Amotorcyclistismovingtowardseastwithaspeedof15m/s.Atacertaininstant,themotorcyclistisduesouthofthecarandisatadistanceof50mfromthecar.

Theshortestdistancebetweenthemotorcyclistandthecaris:[A] 10m[B] 20m[C] 30m[D] 40m

Question36.Acarismovingtowardssouthwithaspeedof20m/s.Amotorcyclistismovingtowardseastwithaspeedof15m/s.Atacertaininstant,themotorcyclistisduesouthofthecarandisatadistanceof50mfromthecar.

Thetimeafterwhichtheyareclosesttoeachother:[A] 1/3s[B] 8/3s[C] 1/5s



[D] 8/5s

Question37.Abodycoversonethirdofthedistancewithavelocity ,thesecondonethirdofthedistancewithavelocity andtheremaining

distancewithavelocity inthesamedirection.Theaveragevelocityis:

[A]

[B]

[C]

[D]

Question38.Infigure,thepulley isfixedandthepulley ismovable.If whatistheangle ?Thepulleysarefrictionless

[A] 300[B] 600[C] 900[D] 1200

Question39.Thepositionxofaparticlevarieswithtime(t)as Theaccelerationattimetoftheparticlewillbeequaltozero,wheretisequalto

[A]

[B]

[C]

[D] zero

Question40.Ifxdenotesdisplacementintimetand thentheaccelerationis:

[A][B][C][D]



Question41.Thevelocitytimerelationofanelectronstartingfromrestisgivenby where m/s2.Thedistancetraversedinfirst3sis:[A] 9m[B] 16m[C] 27m[D] 36m

Question42.Aballisdroppedintoawellinwhichthewaterlevelisatadepthhbelowthetop.Ifthespeedofsoundbec,thenthetimeafterwhichthesplashisheardafterdroppingtheballwillbegivenby:

[A]

[B]

[C]

[D]

Question43.Thevelocitytimegraphofabodyisshowninfigure.TheratioofaverageaccelerationduringtheintervalsOAandABis

[A] 1[B] 1/2[C] 1/3[D] 3

Question44.Fromthevtgraph,the:

[A] Speedatt=1sis1.2m/s[B] Accelerationis2m/s2


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[C] Averagespeedduring1stsecondis1.5m/s[D] Speedoftheparticlecanbezero

Question45.Theaccelerationtimegraphofaparticlemovingalongastraightlineisasshowninfigure.Atwhattimetheparticleacquiresitsinitialvelocity?

[A] 12s[B] 5s[C] 8s[D] 16s

Question46.

Ifvector representthetwosidesofatriangle,thenthethirdsideofthetrianglecanhavelengthequalto:[A] 6[B][C] Bothoftheabove[D] Noneoftheabove

Question47.TwoparticlesAandB,eachofmassm,arekeptstationarybyapplyingahorizontalforceF=mgonparticleBasshowninfigure,then:

[A]

[B]

[C][D] Noneofthese

Question48.Aparachutistdropsfirstfreelyfromanaeroplanefor10sandthenparachuteopensout.Nowhedescendswithanetretardationof2.5m/s2.Ifhebailsoutoftheplaneataheightof2495mandg=10m/s2,hisvelocityonreachingthegroundwillbe[A] 5m/s[B] 10m/s[C] 15m/s[D] 20m/s

Question49.Twoballsaredroppedfromthetopofahightowerwithatimeintervalof second,where issmallerthanthetimetakenbythefirstballtoreachthefloor.Thedistancesbetweenthetwoballs,plottedagainstthetimelapsetfromtheinstantofdroppingthesecondballisbestrepresentedby(Neglectmotionofballsaftercollisionwithfloor)



[A]

[B]

[C]

[D]

Question50.Accelerationvelocitygraphofaparticlemovinginastraightlinesasshowninfigure.Then,theslopeofvelocitydisplacementgraph:

[A] increaselinearly[B] decreaseslinearly[C] isconstant[D] increasesparabolically

Question51.

Thenumberofrootsoftheequation is:

[A] 1[B] 2[C] 3[D] 4

Question52.

Ifpandqarerootsoftheequation ,thenthevalueof is:

[A]



[B]

[C]

[D] Noneofthese

Question53.

Iftheratiooftherootsof isthesameastheratiooftherootsof ,then:

[A]

[B]

[C]

[D] Noneofthese

Question54.

Let betherootsoftheequation and betherootsoftheequation .Then

thevalueofris:

[A]

[B]

[C]

[D]

Question55.

Thevaluesofkforwhichtheequation hasrootsofoppositesignslieintheinterval:

[A]

[B][C] (1,2)

[D]

Question56.

If ,then:

[A]



[B]

[C]

[D]

Question57.

Sumofallpossibleintegralvaluesofaforwhich is:

[A] 4[B] 5[C] 6[D] 7

Question58.

Statement1:Thevalueof'a'forwhichtheequation hasnorealrootsif

Statement2:Thevaluesof'a'forwhich hasonerootsmallerthan3andotherrootgreaterthan3are

suchthat .

Statement3:

Statement4:

[A] FTFT[B] FTTF[C] TFTF[D] TFFT

Question59.

Iftheequations and havearootincommonthentherationalvaluesof and

are:

[A]

[B]

[C]

[D]

Question60.

and and thentheleastvalueofais:

[A]

[B]

[C]



[D]

Question61.

Forwhichofthefollowinggraphsofthequadraticexpression ,theproductabcisnegative?

[A]

[B]

[C]

[D]

Question62.

Thenumberofvaluesofaforwhich isanidentityinxis:

[A] 0[B] 2[C] 1[D] 3

Question63.

If isafactorof thentheotherfactoris:

[A][B][C][D] Noneofthese

Question64.



If hasdistinctrealrootsin(1,2)thenaand have:

[A] Samesign[B] Oppositesigns[C] Signsthatcannotbedetermined[D] Noneofthese

Question65.Theminimumvalueofthefunction

wheneveritisdefinedis:

[A] 4[B][C] 0[D] 2

Question66.

Thevalueof is:

[A] 28[B] 32[C] 35[D] Noneofthese

Question67.

Minimumvalueof is:

[A] 0[B] 2[C] 7[D] 9

Question68.

Ifb>a,thentheequation has:

[A] Bothrootsin[a,b][B] Bothrootsin

[C] Bothrootsin

[D] Onerootin andotherin

Question69.

Thevaluesofmforwhichbothrootsoftheequation aregreaterthan butlessthan4,lieintheinterval:

[A][B][C][D]

Question70.



Iftherootsoftheequation benonreal,thenforallrealvaluesofx,theexpression is:

[A] Lessthan4ab[B] Greaterthan[C] Lessthan[D] Greaterthan4ab

Question71.

If ,thentherangeoff(x)is:

[A]

[B]

[C]

[D]

Question72.

Theminimumvalueoftheexpression for is:

[A] 12[B] 6[C] 18[D] 9

Question73.

If cannotliebetween:(wherea>0and )

[A]

[B]

[C]

[D]

Question74.If and ,then:

[A]

[B]



[C]

[D]

Question75.

Leta,b,cbereal,ifax2+bx+c=0hastworealroots ,where and then .

[A] 0[C] (0,1)[D] Noneofthese