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Section-1PhySicS

1. A sa a r bk sars fr rs a v

dr, a ar vraks r bk, b v

sa dr. t spd raps fr r bk ad

ar ar rprsd b OAB ad CD, rspv. t (A) At t= 18 s the motor bike and car are 180 m apart

(B) At t= 18 s the motor bike and car are 360 m apart

(c) The relative distance between motor bike and car reduces

to zero at t= 27 s and both are 1080 m far from origin

(D) Both (A) and (C)

2. Givengure showstwoblocksconnected by alight string placed

45 45

m 2kg

on thetwoinclinedpartsofatriangularstructure.The coefcients

f sa ad k fr ar 0.28 ad 0.25 rspv a a

ofthesurfaces.Whatistheminimumandmaximumvaluesofm fr

whichthe system remainsatrest?

(A)

9

4

32

3kg kg,

(B)

9

8

32

9kg kg,

(c)

18

8

64

18kg kg,

(D)

3

4

16

3kg kg,

3. A uniform chain of mass m hangs from a light pulley, with unequal lengths hanging at the two

sides ofthe pulley. The forceexertedbythemovingchain onthe pulleyis

(A) mg (B) > mg

(c) < mg

(D) May be any of these depending on the time elapsed

4. Ahorizontalplane supports axed verticalcylinderof radiusR ad a par s aad

dr b a rza rad AB asshown ingure.Ahorizontal velocityv0

s pard

particle,normal tothe threadingduring subsequentmotion. Point out the truestatements.

(A) Angular momentum of particle about O remains constant.

B A

v0

OR

(B) Angular momentum about B remains constant.

(c) Momentum and kinetic energy both remain constant.

(D) Kinetic energy remains constant.

5. Rad v sas ad ark rr p.

Statement-1 : To measure the current in a circuit element, the ammeter should be connected in

series withtheelement.

Statement-2 : Connecting the ammeter in series with a circuit element causes atleast a smallreduction ofthe current in thatelement.

(A) Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1.

(B) Both statements 1 and 2 are true but statement 2 is not the correct explanation of statement 1.

(c) Statement 1 is true but statement 2 is false.

(D) Statement 1 is false but statement 2 is true.

6. Lengthsandcross-sectionalareasof four piecesofnichromewire are(L, A), (2L, A), (L, 2A) ad

(2L, 2A), rspv. if sa va dffr V is applied across their lengths, which of

the wireswill get the hottest insteady state?

(A) Wire (L,A) (B) Wire (2L,A) (c) Wire (L, 2A) (D) Wire (2L, 2A)

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7. TwobodiesA ad Baremovingtowardsaplanemirrorwithspeeds

vA

ad vB, respectively, as shown in the gure. What is the speed

f a fA with respect tothe bodyB?

(A) vA

+ vB

(B) vA v

B

(c)

v vA B+2

(D)

v vA B2

8. AsmallblockoscillatesbackandforthonasmoothconcavesurfaceofradiusRasshowninthegure.

What is the time period of small oscillation?

(A)

R

g (B)

2

R

g (c)

2

g

R (D) 0

DiRection :Read the followingpassagecarefullyand answer questions number 9,10 and 11.

Ina thermally insulatedtube ofcross sectionalarea 4cm2thereisaliquidofthermalexpansion

coefcient of 103 K1 owing. Its velocity at the entrance is 0.1 m s1. A dd f

tube, a heater of a power 10 kW is heating the liquid. The specic heat capacity of the liquid is

1.5 kJ/(k K) ad ds s 1500 k 3 a ra.

9. Therise in temperatureof theliquidas it pass throughthetube is

(A)

1000

9C

(B)

1

9C

(c)

500

9C

(D) None of these

10. What isthe density of liquidat theexit?

(A) 1450 kg m3 (B) 1400 kg m3 (c) 1350 kg m3 (D) None of these

11. Howmuch bigger isthevolume rate of owat theendof the tube than at theentrance incubic

meters?

(A) 9 105 (B)

1

310 5

(c)

4

910 5

(D) None of these

12. Anobserverturnsonanelectriceldacrossasealedglasstubeandtheelectronsfromoneof the

electrodes move toward the other, horizontally toward right.A magnetic eld is applied pointing

towards the observer. The forceacting upon the electronspoints

(A) To the right (B) To the left (c) Upward (D) Downward

13. A person brings a mass of 1 kg from innity to a pointA. Initially the mass was at rest but it

vs a a spd f 2 s1 as s ras A.Theworkdonebythepersononthemassis3J.

t pa a A s

(A) 3 J Kg1 (B) 2 J Kg1 (c) 5 J Kg1 (D) None of these

14. The tension ina string holdinga solidblockbelow the surfaceof a liquid(whererliquid > rbk) asshown in the gure isT when the system isat rest. Then, what willbe the tension inthestring

if thesystem hasupward acceleration a?

(A) T

a

g1

(B)

T

a

g1+

a

(c) T

a

g

1

(D)

a

gT

15. Apolicecarwithasirenoffrequency8kHz ismovingwithuniformvelocity36kmhr 1 towardsa

tallbuildingwhichreectsthesoundwaves.Thespeedofsoundinairis320ms 1.Thefrequency

f sr ard b ar drvr s

(A) 8.50 kHz (B) 8.25 kHz (c) 7.75 kHz (D) 7.50 kHz

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chemiStRy

16. Whichofthe followingstatementsare wrong?

1. Bariumisabetter reducing agentthanmagnesium.

2. Ba(oh)2

s r bas a B(oh)2.

3. m2+ ar prpad as mco3 byammoniumcarbonate inpresenceof ammoniumchloride.

4. mc2givescolourationinametest.

(A) 1 and 2 (B) 3 and 4 (c) 1 and 3 (D) 1, 2 and 3

17. Pk rr rdr f sab f rav rdas.

(A) CH2

NO2

>

CH2

CH3

>

CH2

>

HC

(B)

> > >

CH3

(c)

(D)

18. Studythe given seriesof reactions carefully.

W turns leadacetatepaperblack. IdentifyZ.

(A) KCO3 (B) BaCO

3 (c) KCl (D) BaS

19. Argon gas liberated from crushed meteorites does not have the same isotopic composition as

atmospheric argon. The gas density of a particular sample of meteoritic Ar was found to be

1.481 g/L at27Cand 740 torr. What is the averageatomicweightofthissample ofargon? (A) 4.93 g/mol (B) 37.5 g/mol (c) 3.75 g/mol (D) 49.3 g/mol

20. Whichofthe followingis anti-aromatic?

(A) (B)

O+

(c)

O

(D)

O

O

N

H

21. Therst ionization potential of Mg,Al,P andS follows theorder

(A) Mg < Al < P < S (B) Al < Mg < P < S (c) Al < Mg < S < P (D) Mg < Al < S < P

22. Thenumber of geometrical isomers of thePBr2c3 molecule withnitedipolemoment is/are (A) 1 (B) 2 (c) 3 (D) 4

23. Pk rr rdr f dras c h bd r f

the bondsshown in the givencompound.

(A) 1 > 2 > 3 > 4 (B) 4 > 3 > 2 > 1

(c) 3 > 2 > 1 > 4 (D) 2 > 3 > 1 > 4

24. When NaBH4 isdissolvedin water,

(A) Na+ and BH4

ions are formed which are stable (B) It decomposes with the evolution of H

2

(c) BH4

is formed initially decomposes to give OH

ions, which prevent further decomposition

(D) NaH and B2H6 are produced.

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25. The IUPACnameofwhichof the followingcompounds is incorrectlywritten?

(A)

OOH

NHCH3 4-ethyl-3-hydroxy-N-methylhexanamide

(B)

CH2

CH3

CH3

trans-1-isopropenyl-3-methylcyclohexane

(c) 2-(1-cyclobutenyl)-1-hexene

(D)

OH

2-(2-methylbutyl)-1-cyclopentanol

26. What masses of P4o

6ad P

4o

10 respectively will be produced by the combustion of 2 g of P

4

2.00g ofoxygen leavingno P4

r o2?

(A) 1.98 g, 2.02 g (B) 3.5 g, 2.7 g (c) 2.98 g, 1.5 g (D) 1.01 g, 1.45 g

27. Thenal productS formed in the followingreactionsequenceis

(A) Naphthalene (B) Tetralin (c) Benzene (D) Anthracene

28. Anelectroninahydrogenatominitsgroundstateabsorbs1.50timesasmuchenergyastheminimum

required for it toescape from the atom.What is the wavelength ofthe emittedelectron? (A) 1.5 106 m (B) 1.09 1018 m (c) 4.7 1010 m (D) 2.1 1012 m

29. Inwhichof the followingreactions, gas isnot evolved?

(A) NaOH + P4 (B) NH

4HSO

4

Current

(c) KO2

+ CO2 (D) Ba(OH)

2+ H

2O

2

30. HowmanymoleofNH3mustbeaddedto1.0Lof0.750MAgNO

3inordertoreducethesilverion

ra 5.0 108 M?

(A) 0.4 mol (B) 1.5 mol (c) 0.75 mol (D) 1.9 mol

Section-2

mAthemAticS

31. From 50studentstaking examinationsin subjectsA, B ad C, 37 passd A, 24 passd B ad 43

passd C.Atmost19passedA ad B,atmost29passedA ad C ad a s 20 passd B ad

C. The largest possiblenumber thatcouldhavepassed allthree examinationsis ______.

(A) 15 (B) 16 (c) 17 (D) 14

32. s s

=

x a

x a

x a

_____.

(A)1

2

3sin a (B)1

2

3cosec a (c) sin3a (D) cosec3a

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33. Two personsA ad B play a game where each is asked to select a number from 1 to 20. If the

twonumbersmatch,bothwillwinaprize.Theprobability thattheywillnotwinaprizeinasingle

trial is _______.

(A)13

20 (B)

17

20 (c)

19

20 (D) None of these

34. Aline passes through the points (6, 7, 1) and (2, 3, 1). The d.c.'s of the line so directed thatthe anglemadebyit with positive directionofx-axisisacute,are______.

(A)2

3

2

3

1

3, , (B)

2

3

2

3

1

3, , (c)

2

3

2

3

1

3, , (D)

2

3

2

3

1

3, ,

35. Apiechartis tobe drawnfor representingthedata.Value

ofcentral angle for food and clothing is_______.

(A) 40

(B) 28

(c) 150

(D) 144

36. Aray of light incident at thepoint (2, 1)gets reected from the tangentat (0, 1) to thecircle

x2 + y2=1. The reectedraytouchesthecircle.Theequationof the linealongwhich the incident

raymoved is_______.

(A) 4x 3y+ 11 = 0 (B) 4x+ 3y+ 11 = 0 (c) 3x+ 4y+ 11 = 0 (D) None of these

37. if (r+ 1)thtermintheexpansionofa

b

b

a3

3

21

+

as a ad btooneandthesamepower,

thenthevalueof r is_______.

(A) 9 (B) 10 (c) 8 (D) 6

38. Thevalueoftheexpression1 (2 w)(2 w2) + 2(3 w)(3 w2) + ..... + (n 1)(n w)(n w2),where

w isanimaginary cube rootofunityis _______.

(A) n n( )+

1

2

2

(B) n n n( )+

1

2

2

(c) n n n( )+

+

1

2

2

(D) None of these

39. Let P b p (1, 0) ad Q a point of the locus y2 = 8x. The locus of mid point of PQ

is _____.

(A) x2 + 4y+ 2= 0 (B) x2 4y+ 2 = 0 (c) y2 4x+ 2 = 0 (D) y2 + 4x+ 2 = 0

40. Eightchairsarenumbered1 to8.Twowomenandthreemenwishtooccupyonechaireach.First,

thewomenchoosethechairsfromamongstthechairsmarked1to4,andthenthemenselectthe

chairsfrom amongst theremaining.Thenumber of possible arrangements is ________.

(A) 4C3

4C2

(B) 4C2 4P

3 (c) 4P

2 4P

3 (D) None of these

41. if aq, sq, 16

sq are inG.P., then the general valueofq is______.

(A) 23

n n Z

, (B) 26

n n Z

, (c) n n Zn

+ ( ) ,1

3 (D) n n Z

+

3,

42. Arectangularhyperbola whosecentre isC is cutby anycircle of radius r in fourpoints, P, Q, R

ad S. t CP2 + CQ2 + CR2 + CS2 isequalto _______.

(A) r2

(B) 2r2

(c) 3r2

(D) 4r2

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43. if r ad s are the rootsof the equation lx2 + mx + n=0,thenthevalueof1

+1

2 2r sis ______.

(A) m2 4ln (B)m

l

2 4

2

ln (c)

m

n

2

2

4 ln (D)

m

n

2

2

2 ln

44. Value of 32 cos620 48 s420 + 18 s2201is________.

(A) 12

(B) 12

(c) 32

(D) None of these

45. Sevenlettersarearranged ina lineas follows :

() E ad F haveoneletterbetweenthem;(ii)G s r fA;(iii)B s da

f f F; (iv) There isone letter between D ad A; (v) D s G's neighbour; (vi)G ad F av

two lettersbetween them.Which letter issecond tothe left ofletterA?

(A) C (B) B (c) D (D) E

46. Studythe number series givenbelowandanswer the question.

6 7 8 9 9 8 7 9 7 7 8 9 7 8 7 6 9 6 8 9 7 7 9 8 9 7 6 8 8 7

How many such numbers are there in the given series each of which when subtracted from the

followingnumber, has adifferenceof2 ?

(A) Three (B) Four (c) Five (D) Nine

47. Someequalcubesarearrangedin the formof asolidblockasshownin

thegivengure.Allthevisiblesurfacesoftheblock(exceptthebottom)

are painted.How manycubesdo not haveany ofthe facespainted?

(A) 27

(B) 32

(c) 36

(D) 40

48. Select a gure from the options which will continue the series established by the Problem

Figures.

(A) (B) (c) (D)

49. Select the gurewhichsatisesthe sameconditions ofplacement ofthe dotsasin Fig. (X).

(A) (B) (c) (D)

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50. Pointing to a lady in the photograph, Rajesh said, "she is my grandfather's only son's mother".

How is the womanrelated toRajesh?

(A) Daughter (B) Sister (c) Grandmother (D) Niece

oR

Biology

31. Refer thegivengures andread thefollowing questions.

(i) Theseorganismsbelongtowhichgroup?

() Noctiluca isa special organism.Why?

(iii) Theyareall very useful. True orfalse.

(iv) Theycause algalblooms.Trueor false.

Selecttheoptionthatanswerstheabovementioned

questions correctly.

(A) (i) Brown algae, (ii) Smallest bioluminescent organism, (iii) False, (iv) True

(B) (i)Dinoagellate,(ii)Firstbioluminescentorganismdiscovered,(iii)False,(iv)True

(c) (i) Diatoms, (ii) Causes human disease, (iii) True, (iv) False

(D) (i) Diatoms, (ii) Smallest bioluminescent organism, (iii) True, (iv) False

32. Given below are four incomplete oral formulae. Select the option that correctly completes the

oral formula and matches with its family.

Fas () () () (v)

(A) Solanaceae G2

(B) Compositae C(3+3)

(c) Fabaceae C1+2+(2)

(D) Liliaceae P(9)

33. Enzymesarebiocatalysts.Thesemediateanumberofphysico-chemicalprocesses.Someexamples

ofenzyme-mediatedreactions are givenbelow. Selectthe odd one out.

(A) Dissolving CO2

in water (B) Unwinding of the two strands of DNA

(c) Hydrolysis of sucrose (D) Formation of peptide bond

34.

The above gure shows four types of animals (P-S). Select the correct option with respect to a

common characteristic of twoof theseanimals.

(A) Q and R have cnidoblasts for self defence. (B) The bodies of P and S show true segmentation.

(c) R and S have a true coelom. (D) Both P and Q exhibit metagenesis.

35. Most ofprotons, which play a crucial role in oxidative phosphorylation,enter the mitochondrion

as

(A) C3H

4O

3 (B) C

6H

12O

6 (c) CO

2 (D) O

2

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36. The graph shows the effect ofdifferent wavelengths of light on processes takingplace in green

pas.

Whatcanbededuced fromthesolidlineY?

(A) Photosynthesis is least active in green light and most active in blue and red light.

(B) Photosynthesis is most active in green light and least active in blue and red light.

(c) Respiration is least active in green light and most active in blue and red light.

(D) Respiration is most active in green light and least active in blue and red light.

37. An experiment was performed on a young plant to measure the rate of transport in the phloem.

Thesameplantwasthenplacedinabelljarandachemicalwasplacedinthebelljartoabsorb

alltheoxygen present.The rateoftransport in the phloemdecreasedand thenstopped.What is

the reason for this?

(A) Companioncellsnolongerproducesufcientenergy.

(B) Mitochondria in the xylem vessels cease to function.

(c) Photosynthesis cannot occur in the bell jar. (D) Translocation occurs only by diffusion.

38. The pulserateofa girl was measuredeverytwominutes and plotted onthe graphas shown.

Her exercisestartedatS and nishedatT but her pulseratedid

Time

Pulserate

0

S

T U

nots tart todropuntilU.

Whichprocess(es) wouldoccur during theT-Uinterval?

(i) Accumulationoflacticacidinmusclecells

(ii) Increased supplyofoxygentothemuscle cells

(iii) Increasedtransport of carbon dioxideto thelungs

(A) (i), (ii) and (iii) (B) (i) and (iii) (c) (ii) only (D) (ii) and (iii)

39. Which ofthe followingstatements iscorrect for the givengure?P

Q

R

S

T

(A) The blood components such as RBC, WBC and plasma proteins are found in

P but not in Q.

(B) Urea is present in parts P, Q, R, S and T.

(c) Glucose is present in part Q but not in part S.

(D) All of these

40. Thegivendiagramsshowtwosectionsthroughtheeyeof

thesameperson.Whathappenstoachievethechanges

fromtheeyeindiagramXtotheeyeindiagramYunder

thedifferentconditions?

Ciliarymuscles Irisradialmuscles Iriscircularmuscles

(A) Contract Contract Relax

(B) Contract Relax Contract

(c) Relax Contract Relax (D) Relax Relax Contract

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41. Inan experiment,a student is threatened by a large dogandhas to runaway to escape. During

the incident the adrenaline level in the student'sblood is measured.The graphgiven shows the

results.

Whichstatementexplainsthechangeinadrenalinelevel

betweenpointsX and Y?

(A) Adrenaline is being broken down by the liver.

(B) Adrenaline is being excreted by the kidneys. (c) Adrenaline is being returned to the endocrine gland that produced it.

(D) Adrenaline is being used up by the contracting muscles.

42. Read the given statements indicating whether the rst item isgreater than (G),the same as (S),

r ss a (l) sd .

() hdr ra sss.

gSl

hdr ra pas f s.

() cra f K+ in intracellularuid.

gSl

cra f K+ininterstitialuid.

() Sz f dra .

gSl

Size of nuclear genome.

(v) cra f ca2+ in intracellular uid.

gSl

cra f ca2+ in interstitial uid.

S rr p rard s:

() () () (v)

(A) G G S L

(B) L S L G (c) G G L L

(D) L S G L

43. MatchColumn-I withColumn-IIand select the correct option from the codesgivenbelow.

Column-I Column-II

(a) Decreased muscle glycogen content (i) Epinephrine

() ib

(b) Increased muscle mass (iii) Testosterone

(v) crs

(c) Increasedspeedofcontractionofmuscles (v) PTH

(d) B rsrp (v) trd rs

(A) a-(iii), b-(iv), c-(v), d-(i) (B) a-(ii), b-(iii), c-(i), d-(v)

(c) a-(v), b-(iii), c-(vi), d-(i) (D) a-(i), b-(iii), c-(vi), d-(v)

44. i p ar bk

(i) fainting mayoccur becausethe atriaare unable to pump bloodintothe ventricles

(ii) ventricular brillation iscommon

(iii) theatrial rate is lowerthan theventricularrate

(iv) faintingmayoccurbecauseof failure of ventricular contraction fora prolong period.

Whichamong theseis/arecorrect regardingcompleteheart block?

(A) (iv) only (B) (ii) and (iv) (c) (i) and (iii) (D) (i), (ii) and (iii)

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45. Referthe givengureand select the incorrectoption.Q

P

R

S

(A) The labelled structure P is the main site at which hypothalamic hormones leave

the brain.

(B) The part labelled Q is the main site at which angiotensin II acts to increase

water intake.

(c) The part labelled R is the chemoreceptor area that is a trigger zone for

vomiting.

(D) The labelled structure S is the main site at which vasopressin acts to decrease

cardiac output.

46. Rad v sas ad s rr p.

Statement I : Itisnecessarytoincorporateforestsoilalongwithaforesttree,whenitistransplanted

a rss ara.

StatementI :Foresttreesdonotsurvivewellwithoutspecialfungithatformassociations,known

asmycorrhizae, with the tree roots.

(A) Both statements I and II are correct and statement II is the correct explanation of statement I.

(B) Both statements I and II are correct but statement II is not the correct explanation of statement I.

(c) Statement I is correct and statement II is incorrect.

(D) Statement II is correct and statement I is incorrect.

47. Nicotiana tabacum, whenexposed tomore thancritical period oflightfails toower. Why?

(A) Some plants require a periodic exposure to alternate light and dark for its flowering response. This

phenomenon is termed phototropism.

(B) Thelongdayplants,whenexposedtolightperiodinexcessofcriticalperiodfailtoower.

(c) Thoseplantswhichrequireexposure tolightperiodat criticalormorethancriticalperiodforitsowering

response are called short day plants.

(D) Nicotiana is a short day plant.

48. Read the followingstatements regardingthegivengure.

(i) The partslabelled XandY are analstyleandanal cercus respectively.

(ii) Anal cercuscontains audio-receptorsto capturesound.

(iii) P is amale cockroach while Q is afemale cockroach.

(iv) ThestructuremarkedasZisabroodpouch.

(v) A par f spraa s prs 6 s f P.

S rr sas.

(A) (i), (ii), (iii), (iv) and (v) (B) (ii), (iii) and (iv)

(c) (i) and (iii) (D) (iii) and (iv)

49. Whathappens inplants duringvascularisation?

(A) Differentiation of procambium, formation of primary phloem followed by formation of primary xylem

(B) Differentiation of procambium followed by the formation of primary phloem and xylem simultaneously

(c) Formation of procambium, primary phloem and xylem simultaneously

(D) Differentiation of procambium followed by the formation of secondary xylem.

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50. Givenbelow isa graphicalrepresentationshowinginuenceof light intensity and carbon dioxide

ra ra f psss r aa.

Whichofthefollowing statements justies thegraph ?

(A) On increasing the light intensity, the rate of photosynthesis increases initially but soon becomes constant.

Thus, light intensity is a rate limiting factor.

(B) The number of chlorophyll molecules limits the rate of photosynthesis.

(c) Photosynthesis is independent of light intensity provided there is no total darkness.

(D) All of these

SPACEFORROUGHWORK