Entrance Examinations-2015
M.Sc. -Year Integrated) Sciences
(Chemistry, Mathematics, Physics, Systems Biology and Earth Sciences)

. Hall Ticket Number I III III I I
Time 2 hours Max. Marks. 100
Instructions
1.
Please enter your Hall Ticket Number on this page and on the OMR Answer Sheet without fail.

2.
Please read the following instructions carefully.



There are 100 questions in this paper. Questions 1-25 are in Biology, 26-50 are in Chemistry, 51-75 are in Mathematics and 76 -100 are in Physics.


There is a negative marking. Each correct answer carries 1 mark and each wrong answer carries -0.33" mark. Each question has only one correct option.


The appropriate answer(s) should be coloured with either a blue or a black ball point or a sketch pen. DO NOT USE A PENCIL.


Answers are to be marked on the OMR sheet following the instructions given there.


Hand over the 0 MR answer sheet at the end of the exalnination to the invigi­lator.


No additional sheets will be provided. Rough work can be done in the question paper itself/space provided at the end of the booklet.


Calculators and mobile phones are not allowed.



1. Apart from ATP, what are the end products of glycolysis

CO2 and H20

H20 and ethyl alcohol

NADH and pyruvate

C02 and ethyl alcohol


2. The quiescent stage of cell cycle

Gl

Go

S

G2


3. A cell has mitochondria, ribosomes, smooth and rough ER, and other parts. Based on this information, it could not be

A cell from a pine tree

A grasshopper cell

A yeast (fungus) cell

A bacterium


4. The scientific name of pea is

Oryza sativa

Arabidopsis thaliana

Pisum sativum

Mangifera indica


5. Fusion of two nuclei is called as

Karyogamy

Plasmogamy

Cleistogamy

Polygamy


6. Nematocysts are the organs of

Sensation

Reproduction

Defence and offence

Respiration



7. In photosystem the reaction centre chlorophyll a has an absorption peak at

700nm

680nm

690nm

710nm


8. One of the following symptoms is not due to deficiency of macro-or micro-nutrients

Chlorosis

Apoptosis

Necrosis

Stunded growth


9. The most active phagocytic white blood cells are

Neutrophils and monocytes

Neutrophils and eosinophils

Lymphocytes and macrophages

Eosinophils and Lymphocytes


10. Whic.h of the following represents a test cross

ww x WW

Ww x WW

Ww x Ww

WW x WW

11. You have a friend who lost 15 pounds of fat on a diet. Where did the fat go (how was it lost)?

It was converted to urine and eliminated from the body

Chemical energy was converted to heat and then released

It was broken down to amino acids and eliminated from the body

It was released as CO2 and H20


12. The phenomenon ofdiffusion ofwater across a semi-permeable membrane is termed as

Plasmolysis

Osmosis

Turgidity

Flaccid

13. A simple goiter results from

Lack of TSH

Too much PTH

Lack of iodine

Autoimmunity


14. Cyclic AMP is best matched with

Steroid hormones

Protein hormones

Muscle cells

The male hormone, testosterone


15. One of the following does not belong to Archaebacteria

Methanogens

Thermoacidophiles

Halophiles

Cyanobacteria


16. The proteinaceous outer covering of endosperm that separate it from embryo

Scutellum

Coleoptile

Coleorhiza

Aleurone layer


17. The first invertebrates to develop a true nervous system are

Flat worms

Sponges

Coelenterates

Annelids


18. The internal tissue organization in a transverse section of primary dicot root is as follows

Cortex, epidermis, endodermis, pericycle

Epidermis, cortex, endodermis, pericycle

Pericycle, cortex, endodermis, exodermis

Pericycle, endodermis, exodermis, cortex


19. The blood calcium level is lowered by the deficiency of

Calcitonin

Parathormone

Thyroxine

Both Calcitonin and Parathormone


20. One of the following is not required during nitrogen fixation

N2

ATP

O2

Nitrogenase


21. One of the following belong to pteridophyta

Selaginella

Funaria

Chlamydomonas

Cycas


22. The method of producing thousands of plants through tissue culture is called

Micropropagation

Macropropagation

Totipotency

Somatic hybridization


23. The Nobel laureate Norman E. Borlaug developed semi-dwarf

Rice

Wheat

Barley

Jowar


24. The hormone which is not produced in plants

Auxins

Cytokinins

Oxytocin

Abscisic acid



25. Which enzyme is used in detergent formulations to remove oily stains from the laundry

Amylases

Lipases

Hydrolases

Proteases



26. Strontium is a

f-block element

s-block element

d-block element

p-block element


27. The correct order of increasing atomic radius is

Li Be B C

B C Li Be

C B Be Li

C Be 8 Li


28.The pH of the resulting solution when 1.15g of sodium metal is reacted slowly in 500cm3 of water is close to

10

8

12

13


29. The concentration of a reactant X in a first order reaction decreases from 0.4 M to 0.2 M in 20 minutes. In the same reaction the time taken for the reduction of concentration of X from 0.2 M to 0.05 M would be

5 minutes

40 minutes

80 minutes

10 minutes


30. The mass of a photon with wavelength 1 A is

2.209 x kg

6.626 x kg

6.626 x kg

2.209 x kg


31. The solution with lowest freezing point is

1 M aqueous solution of sucrose

1 M aqueous solution of common salt

1 M aqueous solution of calcium chloride

1 M aqueous solution of glucose


32. Angular momentum ofelectrons in the 4th orbit according to Bohr is

h/2pi

h/8pi

8h/pi

2h/pi


33. The crystal in which the lattice is formed by covalent bond is

Table salt

Ice

Graphite

Dry ice


34. The compound which on acid/base hydrolysis will not result in benzoic acid is

benzoyl chloride

benzyl chloride

phenyl cyanide

phenyl benzoate


35. For the following reaction, identical reaction conditions, the rate of the reaction is highest when X is


(A)NH2

(B)OCH3






36. The polymer which shows less inter-chain interaction is
(A)polyvinyl chloride

(B)nylon

(C)nylon

(D)natural rubber


37. Arrange the following in the increasing order of basicity.

C2HsNH2 (C2Hs)2NH (C2Hs)3N










38. The optically active compounds among the following are
OH OH

6 ¢ (iii)oD U
o
and

and

and

and


H-i

39. In the following reaction, the relationship between X and Z are
cone. H2S04 BH3
I • X Y Z
b
U
heat H20 2,OH­
(A)positional isomers

(B)stereoisomers

(C)metamers

(D)functional isomers


40. Conversion ofPhCOCl into PhCHO is best achieved by
HCl, anhyd. AICh/CuCl

(B)Zn-Hg/HCI

Pd-BaS04

(D)H2NNH2, KOH


41. The complex in which the metal is zero valent is









42. Depletion of ozone layer by Chlorofluorocarbons (CFCs) is due to
(A)physical penetration of CFCs thr.ough ozone layer

(B)destruction of ozone molecules by fluorine radicals generated from CFCs

(C)destruction of ozone molecules by chlorine radicals generated from CFCs

(D)destruction of ozone molecules by chloride ions generated from CFCs


43.Thevolume of0.01Msolution ofAgN03thatisrequiredreplacethechloridepresent in 3 mL of 0.1 M solution of [Pt(NH3)sCI]Ch is close to
(A)9mL

mL

mL

(D)l20 mL


9


tJ-l

44. The IUPAC name of the following organic compound is

(A)I-bromo-2-hydroxy,;,3-methylhex-5-ene

(B)I-bromo-3-methylhex-5-en-2-01

(C)6-bromo-4-methylhex-l-en-5-01

(D)6-bromo-4-methyl-5-hydroxyhex-I-ene


45. Actinides exhibit more number of oxidation states than lanthanides because
and 7s orbitals are of comparable energies

and 7s orbitals have large difference in energies

(C)higher reactivity of actinides

(D)poor shielding of 5forbital


46. High enthalpies ofatomization ofthe transition metals is due to the
(A)presence of many unpaired electrons

(B)presence of few unpaired electrons
high conductivities ofheat


(D)shielding of inner shell electrons


47. The silane that can give cross-linked silicone polymer on hydrolysis is


(B)R3SiCI

(C)R2SiCh

(D)RSiCh


48. Cyanide treatment is involved in the extraction of

nickel

(C)silver

(D)zinc


10




49. Water on electrolysis with certain amount of current generates 1.5 g of molecular
hydrogen. The alnount of molecular oxygen generated with the saIne amount of current will be close to
12g
24g
'50. When the concentration of anyone of the reactants in an equilibrium is halved, the equilibriurIl constant would
halved

doubled

(C)become one fourth of that of actual

the same


Mathematics
51. If0 n 1 then which one of the following is true?








(D)52. Let C be subsets of a set X and assume that A n B nC <p. Then
least one of C is an empty set.

least one of A n B nC, C nA is an empty set.

two of B,C are equal sets.

(D)none of the above.


f
M-L

53. Apalindrome is a word which reads the same forward or backward, (examples:MADAM.
ANNA). The number of palindromes of length 15 which can be formed from an al­phabet of k letters




(C)15k •



54. Urns A and B respectively contain 4 white, 6 black balls and 6 white, 4 black balls. An urn is selected and a ball is drawn at random from the selected urn. What is the probability that the ball drawn is white if the probability of selecting urn B is









sin(2x) 5
a if x
55. The value of a for the function f 3t:n x sin2 x
to be continuous

x O.
xx
is









56. If is the greatest integer less than or equal to x then the value of lim
x-o X
is -2.
(C)does not exist.

(D)none of the above.


12


57.. The graph of the function y is symmetrical about the line x a. Then





f(a

f(a


Vf+X
x .
58. The domain of the function log










59. Let B be two 3 x 3 matrices such that AB to
A2 B2•
2A 2B.
3
a a
60. If
1 b a2 b2 ab
0 then
1

1.

be ca 1.
2 b2 c2


1.

(D)abc 1.


is equal to
BA A then B)2 is equal
61. The positive real number a such that the sum of the squares of the roots of the quadratic equation x2 takes a minimum value is




(C)3.·

(D)10.



62. If [xl is the greatest integer less than or equal to xthen for"n E ln dx is equal to
(A)n2.

(B)2n.







63. is equal to
22
sec-1

-a2 a sec-1

+a2 atan-1

-a2 a tan-1



64 Let Ok Then the value of O2 203 ... is equal to
n2n 1 -2n .
-e..
(C)n2n -2n -l.

(D)n2n -2n 1.


00 ... x
65. Let n E x E R. ThenL 2 is equal to k=O .1 x

.
crn

+x2.
C-x+x2
+x2
x2


+x2
H-l

p6. The number of solutions of tanB cosec2B-(v'3 in is





infinitely many.
67. If A B C 28. then sin(8 +sin(8 sin(8 -sin 8 is equal to

2 sin(C/2).

cos(C/2).


(D)68. Let f and 9 be differentiable functions on such that 6 and 2. Then there exists c in such that


.






69. If I:r Ix+ 1 Ix -11 then the value of is equal to






(D)does not exist.


70. The order of the differential equation whose general solution is given by y Cl cos(2x C2) (C3 c4)aX+C5 is equal to





5.
71. .The number of normals to y2 4x from the point is










72. if y mx c and x cos a y sin a represent the same straight line, then
2
p2(1 m).

•

m2.

-p2 m2.


73. A circle touches x-axis and cuts off a chord of length 2£ from the y-axis. The locus of the centre of the circle is
hyperbola.

straight line.

parabola.

ellipse.


74, Let band c be the position vectors of vertices of a triangle ABC. Then Iax bx ex £11 is equal to
(A)twice area of the triangle ABC.

(B)area of the triangle ABC.



(D)none of the above.


75. Let band cbe nonplanar vectors and dbe a non zero vector. If aa a and athen is equal to





d;2.
Physics
76. The dimension of the universal gravitational constant G is
2L-2r-1

2L-2r-2


3r-1





77. Which one of the following quantities does not have the unit of force per unit area?
(A)Young's modulus of elasticity

(B)Stress

(C)Strain

(D)Pressure


78. A ball is thrown from a point A with a speed u at an angle fJ with the horizontal. If g is the acceleration due to gravity, the total time taken for it to reach a point B on the same horizontal plane is
(A)2u2 sinfJ/g.

sinfJ/ g.

sznfJ/ g.


(D)79. Two soldiers of the same height each fire a bullet simultaneously, hori­zontally and with different speeds from the same place. Then
(A)the bullet with slower speed falls to the ground first.

(B)the bullet with faster speed falls to the ground first.

(C)both the bullets will fall to the ground simultaneously.

(D)the bullets will reach the ground depending on their masses.


80. A clay ball of mass m and speed v strikes another metal ball of same mass which is at rest. They stick together after collision. The kinetic energy of the system after collision is





mv2.
17


81. A nucleus moving with a velocity Vemits an a-particle. Let the veloci­ties of the a-particle and the remaining nucleus be VI and 712 and their masses be. ml and
VI and 712 must be parallel to each other.

(B)Any two of VI and 712 should be parallel to each other.

712 must be parallel to v.

(D)mlVI m2v2 must be parallel to v.


82. The moment of inertia of a body does not depend upon
(A)angular velocity of the body.

(B)axis of rotation of the body.

(C)mass of the body.

(D)the distribution of the body.


83. A pendulum clock keeping correct time is taken to high altitudes. Which one of the following is true?
will keep correct time.

(B)its length should be increased to keep correct time.

(C)its length should be decreased to keep correct time.

can not keep correct time even if the length is changed.


84. A liquid of density 1200kg/m3 flows steadily in a tube of varying cross­section as shown in the figure. The cross-section at point A is 1.0em2 and that at point B is 20mm2• Given that the points A and B are in
. the same horizontal plane and the speed of the liquid at A is 10em/s, the difference in pressures at A and B is

.A .6


(A)1.44 Pa

(B)1.56 Pa

(C)156 Pa

(D)144 Pa



85. A sound detector on a railway platform detects 12 kHz as the most dominant frequency in the whistle of a train approaching the platform at a speed of 36 km/hr. What would be the most dominant frequency of the whistle detected after the train stops on the platform? (The speed of sound in air is 340 meters/sec)
(A)10.7 kHz

(B)11.6 kHz

kHz

(D)12.6 kHz


86. Which of the following phenomena can be dernonstrated by light, but not with sound waves in an air column?
(A)Reflection

(B)Refraction

(C)Diffraction

(D)Polarization


87. In vacuum, all electromagnetic waves have the same
(A)speed.

(B)frequency.

(C)phase.

(D)wavelength.


88. The refractive index of a prism is measured using three lines of a mer­cury vapour lamp. If J..ll, J..l2 and J..l3 are the measured refractive indices for the mercury green, blue and yellow lines respectively, then
(A)J..l2 J..l3 J..ll·

(B)J..l2 J..ll J..l3·

(C)J..l3 J..l2 J..ll

(D)J..ll J..l2 J..l3·


H-.1

89. In a Young's double slit experiment the intensity of light at each slit
is 10 . Interference pattern is observed along a direction parallel to the line 81 82 on the screen S.

The minimum, rnaximuln, and the intensity averaged over the entire screen respectively are
10, 210, 3/0/2.
10.
90. Two bodies A and B having equal surface areas arc maintained at
temperatures lODe and 20°C. The thermal radiation emitted in a given time by A and B are in the ratio

1:4

2

1.15


91. A heated body emits radiation which has maximum intensity near the
frequency VQ. The emissivity of the material is 0.5. If the absolute temperature of the body is doubled,
(A)the maximurn intensity of radiation will be near the frequency 2vQ.

(B)the maximurn intensity of radiation will be near the frequency vo/2.

(C)the rnaximurn intensity of radiation will be near the frequency vo.

(D)the total energy emitted will increase by a factor of 2.



92. A meter scale made of steel reads accurately at 20°C. In a sensitive experiment, distances accurate upto 0.055 mm in 1 meter are required. What is the range of temperature in which the experiment can be performed with this meter scale, given the coefficient of linear expansion of steel as 1.1 x 10-5 jOe.
-30°C

-20°C

-35°C

-25°C


93. When the amount of work done by a system is 333 Cal and change in its internal energy is 167 Cal, then the heat supplied is
(A)55611 Cal

(B)500 Cal

(C)333 Cal

(D)166 Cal


94. The magnetic intensity H at a distance due to a magnetic pole of strength m is










95. The current through one of the following components is in phase with the AC voltage:
resistor.

inductor.

capacitor.

combination of these circuit clements.


96. As the temperature of a conductor increases, its resistivity and con­ductivity change. The ratio of its resistivity to conductivity
. remains constant.
(B)increases.
decreases.


(D)may increase or decrease depending on the actual temperature.




97. If the current through a resistor in a circuit decreases by the power dissipated by the resistor
(A)increases approximately by .

(B)decreases a.pproximately by .

(C)decreases approxima.tely by 8%.

(D)decreases approximately by 16%.


98. A cylindrical copper rod has length L and resistance R. If it is melted and stretched to form another rod of length 2L, the resistance will be
2R.
8R.
99. A diode, a resistor and a 50 Hz AC source are connected in series. The number of current pulses per second through the resistor is
(A)25.

(B)100.


50.
100. A bulb rated 60 W at 220 V is connected across a household supply of alternating voltage of 220 V. The maximum instantaneous current through the filament is
(A)0.39 A.

(B)0.27 A.

(C)0.19 A.

(D)0.55 A.