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Integrated M.Sc. Entrance Examination -2011
V."mum llara 75 Time::I lin.

&aU Ticket No.
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IJuItructlo... lor atudeatll
I. Please enter your Hall Ticket Number on this page and on the OMR
sheet without fail.
II. Read the following instructions carefully.
1. Questions 1-25 are in Biology, 26-50 in Chemistry, 51-75 in

Physics and 76-100 are in Mathematics.
2. Answer as many questions as you can. Each question carries 1 mark. Each wrong answer will be awarded -0.33. The maximum marks for the paper is 75.
3. Answers are to be marked on the OMR sheet following the

instnlctions given there.
4. Hand over both the question paper and the OMR sheet at the end

of examination.
5. Non·programmable calculators are allowed. Log tables and

programmable calculators are not allowed.
6. ROUgh work can be done anywhere on the question paper but not
on the OMR sheet.
7. This book contains 18 pages including this page and pages for the rough work. Please check that your question paper has all the
pages.
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I. Eukaryotic orpnisms that include protozoa and filamentous algae, such as Amoeba, Plasmodium, Euglena etc. belong to the kiogdom
Protista. Plantae. Fungi. Eubocteria.
2. A nucleotide is

a phosphate, a six-carbon sugar, and a nitrogen base.


a group oflinked amino acids.


a protein, a sugar, and a phosphate.


a phosphate, five-<:arbon sugar, and a nitrogen base.


3. A haploid set nfchromosomes is present in
Carpel. Style. Pollen. Petal.
4. If the sequence ofa DNA strand is ATO COT TOA AAC TOA the sequence of
complimentary strand in direction is:

TCA GTTTCA ACG CAT TCA GTT TeA ACG CAT


AGT CAA AGT TGC GTA TAC GCA ACTTfG ACT


5. Crabs. Prawns. Scorpions, Spiders, Millipedes and Centipedes belong to the phylum
Porifera. Echinodermata. Arthropoda. Cnidaria.
6. Wuchereria bancroft; causes
Elephantiasis. Malaria. Oiptheria. Typhoid.
7. In chloroplasts, Iight-<lependent reactions of photosynthesis take place in
stroma. nucleus. thylakoid membranes. cytoplasm.
8. Human Immunodeficiency Virus attacks

columnar epithelial cells ofsmall intestine. liver cells.


type of white blood cell). oxyntic cells ofstomach.


Given below are microbes paind with their commercially important products. The INCORRECT pair is:

Sacchoromyces saccharine. Aspergillus niger: citric acid.


Acetobacte' aceti: acetic acid. Lactobacillus: lactic acid.


10. The relationship between a fungus and cyanobacteria in Lichens represents
Commensalism. Symbiosis. Parasitism. Predation.
II. The technique Polymerase Chain Reaction is used

to make large number ofcopies ofa DNA fragment in laboratory.


to identify antibody production in laboratory.


to make RNA from DNA in laboratory.


to make proteins from RNA in laboratory.



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12. a-ic a1leration ofa bacterilllll by in1rOducinga piece ofexogenousDNA is called

Lysogeny. Recombination.


Tnnsfonnation. Translation.


13. Four lUbes of DNA were analyzed for th.ir nitroaenous base compositions. Bued on pereentaaes of adenine auanin. thymine and cytosin. the lUbe that contains double-stranded DNA is:

A-32"., C=18%and


and


and
C=18%and



14. Th. base that is absent in m....n8.r RNA is
Guanin.. Cytollin.. Adenin•. Thymine.
I S. The process whereby the tissue concentrations of a contaminant increase as it passes
up the food chain throuah two or more trophic I.vel is called

Biod.gradation. Biomagnifieation.


Fenn.ntation. Biodiversity.


16. Tryptophan, Histidine, Valine and Glutamic acid are exampl.s of

fatty acids. nucleic acids.


amino acids. carbohydrates.


17. Th. bond that is absenl ill a DNA molecule is

Phosphodi.ster bond. Glycosidic bond.


Hydrog.n bond. Peptide bond.


18. Th. phylum that is called the amphibians ofth. plant kingdom is
Alga.. Bryophyta. Pteridophyta. Gymnospenns.
19. Conjoinl and open vascular bundles with endarch protoxyl.m arran8ed in a ring are a feature of

Dicot rooL Monocot root.


Dicot stem. MonOCOl stem.


20. In an .ukaryotic cell, the m.ssenger RNAs are synthesized in
Nucleus. Cytoplasm. Goldi aparatus. Ribosom•.
21. Th. end product ofglycolysis und.r anaerobic conditions is

Citric acid. Lactic acid.


Oxaloacetic acid. Pyruvic acid


22. Th. phenotype for the ABO blood system is determined by:

0 is dominant over A. B is dominant over A.


0 is recessive. 0 is dominant over B.


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23. Gibberellins. Auxins, Elltylene and Abscisic acid are

plant growth regulators. animal honnones.


components ofgastric juice. producls of microbial fennentation.


24. The COrTOCt statement for Meiosis cell division is:
11 takes place within somatic cells.
The number ofchromosomes per nucleus remains the same after division.
The mother cell can either be haploid or diploid.
There is at least onc crossing-over per homologous pair of chromosomes.
25. Given that colour blindness is a dominant trait, the probability of two affected individuals having an unaffected child is:
25% 50";" 75%
26. Whichone ofthefollowingwillhavethelargestnumber ofatoms? [At. Wis.: Li F 19. P 31]
Ig Li H,O PH,
27. The volume of 0.5 N sodium hydroxide solution required to neutralize 50 ml of
0.25 M sulfuric acid is
25 ml. 50 ml. 75 ml. 100 ml.
2g. CaCo, reacts with aqueous HClto produce CaC!,. CO, and H,O [At. Wis.: Ca 40, CI 35.5]. The mass ofCaCo, that will react completely with 25 ml of IN HCI is
0.25 g. 0.50 g. 1.0 g. 1.25 g.
29. The solubility product of calcium sulphate 9 x [At. Wt. of S The minimum volume of water required to dissolve 1 gofcalcium sulphate is
1.22 litre. 2.45 litre. 4.50 litre. 6.33 litre.
30. The atoms oflite yet to be discovered elements, starting atl 121 will have electrons in the 5g nrbitals. The number ofelements expected in the 5g-block is:
14 18 22 26
31. The molecule with zero dipole moment among the following is:
H,o NF, BF,
32. The CIF, molecule is

T-shapcd. trigonal pyramidal.


trigonal planar. tetrahedral.


33. At27"C and 760 mm Hg pressure a gas occupies 500 ml of volume. What will be the temperature when the pressure and volume of the gas arc 570 mm Hg and 600 mi. respectively?
-gOC
34. At 50'C and constant pressure of I 5tmosphcre 50% ofN,o, dissociates to NO,. The equilibrium constant K,. of the process is:
1.02 1.33 2.04 2.66
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35. The enthalpies of combustion ofCH<, C and at 298 K are cal -94 cal and -68 cal respectively. The enthalpy offormation ofCH< is:

-18 cal +18 cal


-50 cal +SO cal mol-1


36. A cunent of 10 ampere was passed through molten AICI, for 18 minutes. What will be the mass of aluminium deposited at the cathode? [At. Wt. of AI F 96500 coulomb]
0.5g (B)1.0g (e)1.5g (D)3.0g
37. The numbers of a-and in are

1 and respectively. 2 and respectively.


2 and respectively. 3 and respectively.


38. How many moles of ethylene on complete combustion will produce 90 g of
1.5 2 2.5 3
39. Treatment of benzene with CH,COCI in presence of anhydrous AICI, produces
toluene. chlorobenzenc. acetophenone. benzaldehyde.
40. Dimethyl ether and ethyl alcohol exhibit
CA) chain isomerism. position isomerism.
tautomerism. functional isomerism.
41. Alkalinc hydrolysis ofan ester is known as
saponification. neutralisation. decomposition. dissociation.
42. Treatment ofonc equivalent CH,MgBr with one equivalent CH,CH,COCI produces:

CH,CH,CHO CH,CH,COCH,


CH,CH,COOH CH,CH,COOCH,


43. Nitration of phenol with dilute nitric acid will produce

2-nitrophenol only. 2-nitrophenol and 3-nitrophenol.


2-nitrophenol and 4-nitrophenol. 3-nitrophenol and 4-nitrophenol.


44. For 4-substinned benzoic acids where the substituents are CI, NO, and OCH" the
acidity decreases with the change of substituent in the order:

H CI NO, OCH, NO, CI H OCH,


CI OCH, H NO, OCH, NO, CI H


45. Amons-the following, the compound that gives negative iodoform test is
benzaldehyde. ethanol. acetophenone. acetone.
46. Electrolysis of brine will produce: (A)NaandCh No, and Ch
NaOH and Ch NaOH, and CI,
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47. The molecular fannula of an oxide of iran (AL Wt.: 55.8) which has 69.9% iron and
30.1 oxYSCO is:
FcO
48. The magnetic moment of the brown compound fonned in the nilJalc ring test is 3.87 8.M. What is the valence of iron in this compound?

49. Hybridization ofthe metal ion in diamagnetic octahedral is:
d3sp' sp'd3 sp3d' d'sp3
50. Or1lphite belongs to which crystal system?
Cubic Hexagonal Trigonal Tetragonal
5I. The height at which the acceleration duc to gravity becomes g!9 gravity on surface) in tenns ofR (radius ofcarth) is:
RV2 2R R1.J2 RI2
52. Two moles of helium gas arc taken from 300 K to 500 K at constant pressure of I
N/m2. Assuming the gas to be ideal, the work: done on the gas is:
500R 200R 300R 400R
53. The integral jB.ds for the closed path shown in the following figure is:

-81t x Tm 8,. x 10-1 Tm


x Tm 32,. x Tm


3A




4A
54. A charge Q is placed at the three comers ofa square of side a. The magnitude of the
electric field at the center is:
Qla' Qla'
Qla' (0)(11I6nto) Qla'
55. A particle has initial velocity OJi O.4j and an acceleration O.4i 0.3j. Its speed after lOs is:
8.5 units 55 units 7V2 units 7 units
56. The velocity of a particle is v • Vo gt It'. If its position is x att then its displacement after unit time • is:
Vo +2g +3f m


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57. Two charges of maanimde Q are placed at two adjacent comers of a square, whil. that of magnitude q is kept at the other two come... If one of the q charges are interchanged with one Q charge, and E and V are the electric fi.1d and potential respectively,

both E and V at center change. only E chang.s not V.


only V changes not E. n.ith.r changes.


5g. Ablockofmassmisconnectedto anoth.rblockofmassMbyaspring(massless) of spring constant k. The blocks are placed on a smooth horizontal plan•. Initially the blocks are at rest, and the spring unstretch.d. Th.n a constant force F is applied on the block nf mass M to pull it. Th. n.t force nn the block ofmass m is:
mFIM
59. A block ormass m is connected to a spring of force constant and is oscillating with frequency f. If the spring is mad. 4 tim.s stiffer (i.•.• force constant 4k) the n.w frequency of oscillation is:
4f 2f fI2 f/4
60. Consider two concentric sph.rical surfaces with radius a and with radius 2., both centered on the origin. Th.re is a charg. at the origin, and nn oth.r charges. Th. relation ofthe flux Gl, through with the flux through is:
Gl, CI>,I2
61. A man 2 m tall. whose eye l.v.l is 1.84 m above the ground, looks at his image in a v.rtical mirror. Th. minimum vertical length ofth. mirror required for the man to be abl.to see the whol. ofhimselfis:
m (8)2m (C)0.75m 1.25 m
62. A point charg. ofJllC is located at a distanc. 1 m away from another point charg. of 61lC. The ratio ofth. magnitudes ofthe forces on the two charges is:
1/2 I 18
63. A body ofmass I Kg is constrained to move along a circle ofradius 10 m. At a given instant, its speed is 5 mls and the speed is increasing at the rate of2.5 mls'. Th. angle between the particles velocity and accel.ration vectors is:

64. Th. ratio ofth. radius ofth••lectron orbit in the ground state ofh.lium ion H.+ to the n-2 orbit ofth. hydrog.n atom is giv.n by:
2 V. 4 1
65. The work don. in increasing the pressure of n moles ofan ideal gas from to by an isotbennal proc.ss is giv.n by:

nRT nRT


nRT nRT(lnp,nnP,)


66. Th. momentum ofa photon offrequency v is:
vic hvc hv/c
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67. Suppose an electron is atlnICted towards the origin by a fcm:e where is a constant and is the distance of the electron from the origin. By applying Bohr model to this system, the kinetic energy of the electron is found to be in the n-th orbit. Then which ofthe following is true?
(A)T.a I/n (8)T.an
To a lin' T. is independent ofn
6g. A planet is 10 times more massive than the earth and its radius is 10 times larger. If the escape yelocity from the earth is the escape yelocity from the planet surface is:
lOY y/lO v/loo y
69. Consider an oscillation given by x -Asin.,t. A second oscillation with the same amplitude A and angular frequency., reaches lbe end ofits oscillations a fraction 13 of the period T later than the firsl one. The phase of the second oscillation with respect
to the first one is:
-2"13 2"13
70. A solid ball of volume V and uniform density is falling through a liquid ofdensity Assume that the liquid applies a viscous force on the ball that is proportional to the speed I.e., 0). The terminal speed of the ball
is:




(O)Vgp,1k


71. The non-zero yeclors .. b and • arc related by a • Then the angle
between a and e is:
It!2
n. Two capacitors haye net capacitance 40 when connected in parallel, and 7.5
when connected in series. The larger capacitance is:
20 40 30 3ooll!'
73. If two carrying current I arc placed perpendicular to each other, the force due to
onc wire on the other will be

O. perpendicular to both wires.


directed along the wires. directed at 45° between the wires.


74. A certain charge Q is to be divided into two parts, on. of which is q. What is the relation of Q to q if the two parts, placed at a given distance apart, arc to have
maximum Coulomb repulsion?

75. Two submarines trayelling at 20.2 KmIh and 94.6 KmIh arc on a collision course. The first submarine sends out a sonar signal at 1030 Hz, travelling through water at 5470 KmIh. What frequency docs the second submarine hear?
2060 Hz 1030Hz 1050Hz (O)515Hz
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76. Define a relation S in the set R of real numbenl defined .. S then Sis

an equivalence relation


symmetric and transitive but not reflexive


symmetric and reflexive but not transitive


symmetric neither reflexive nor transitive


77. Let R be a function defined by zl r then I is
z
one -one but Dot onto onto but not one -one
neither one -one nor onto both one -one and onto
abc
78. lfa+b+c<Othen
b c a
is
cab

always negative always pooitive


equal to equal toea a



a
79. The matrix a b a is invertible if and only if

ea a (Al b a lal Icl
b 0 and lal +Icl#a b aand lal lei
80. Let I R be a function defined by 1 then I is
z

continuous but not differentiable discontinuous


continuous and differentiable integrable


81. lim z
-00 a 1 00


tan VYd_
82. dx 0 VY y­
1 J
(Al2tanx (Blitanz (el2tan.,li itan.,li
83. Let I R .... R be a function defined hy ,.2 whon x
x
and I is continuous. Tben
2
2
84. Let I III .... III be a twice differentiable function. Then tbe correct
statement form the following i8

If 0 then I has local maximum or local minimum at 0


If I bas maximum or minimum at 0 then 0


If o. 0 then I bas maximum or minimum at 0


If I has maximum or minimum at 0 then o. 0


85. The area of the region bounded by the curve I.rl Iyl 1 is
1
86. If tan9 then a00529 bsin 29
a
2
a b ,.... b a
a2 +b2
87. Two sides of a triangle are I. and the included angle is rr/3. The other side is
2v'3 1
.11'" .371" .. 571"
006 8+008 8+008
88.006 8=
2 2 0
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89. Bin-'(IIin(T»
4.. 2..

0
3 3
90. tan-I 008.% 1-BID

224 4
. Ja+ib
91. II then
+ill"


&+itP (II
92. The equatIon 9 25 I represents an ellipse with fod at







93. The hypotenuse of a right angled triangle has its ends at the points and The equations of it. other two Bides are

94. The equation of the hyperbola whose foci are and the length of the latus rectum is 36 is
".




lOS 36 36 lOS
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95. The number of common tangents to the circles
3 4
96. Let c be 3 distinct nonzero vectors lying on the plane P and the angle between cis then

tbe angle between a x x IDd P is 7f/4


a x x is normal to the plane P


a x is on tbe plane P


la b 1/2
97. The number of vectors wbose IDlIgDitude is and orthogonal to both -j+kis
0 I 2 infinite
98. Tbere are two boxes containing 100 balls each labelled 1 to 100. If one selects one ball from each box then tbe probability of get ting balls with
same number is
1 II 1
10 100 1000 10000
99. In a bag there arc 2 red balls IUld 2 hlue balls. A ball is drawn and then replaned along with anot her ball of same colour before drawing a ball next time. The probability of getting a red ball in the second draw
is

2 34 5
100. There are 6 post boxes labelled I to 6. The number of ways one can put 4 different letters in such a way that DO box contains more than one letter is
15 180 360 720
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