CUSAT CAT 2023 Question Paper Physics Chemistry Maths Shift II

TEST FOR PHYSICS CHEMISTRY MATHEMATICS SHIFT II

PHYSICS UG SHIFT II
(FINAL)

1. If the screw on a screw-gauge is given six rotations, it moves by 3 mm on the main
scale. If there are 50 divisions on the circular scale, the least count of the screw gauge is

(A) 0.001 cm
(B) 0.01 cm
(C) 0.001 mm
(D) 1 mm

2. Which one of the following equations does NOT represent a true simple harmonic
motion? (Symbols have usual meaning.)

(A) x = A sin (ωt + φ)
(B) x = A cos (ωt − φ)
(C) x = A sin ωt + B cos ωt
(D) x = A sin (ωt + φ) + B sin (2 ωt + φ)

3. A wire fixed at the upper end and stretched by length l by applying a force F. The
work done in stretching the wire is

(A) Fl
(B) 2Fl
Fl
(C)
2
F
(D)
2l

−1
4. If the surface tension of a liquid is 5 Nm , then the surface energy of this liquid film
2
on a ring of area 0.15 m is

(A) 0.75 J
(B) 1.5 J
(C) 2.25 J
(D) 3.0 J

5. For cooking purpose, it is desirable that the material of the utensil should have

(A) low conductivity and low specific heat
(B) high conductivity and low specific heat
(C) low conductivity and high specific heat
(D) high conductivity and high specific heat

6. The P-V
V plots for two gases (1 and 2) during adiabatic processes are shown below.

Then

(A) 1 and 2 both should correspond to a diatomic gas
(B) 1 corresponds to diatomic and 2 corresponds to monoatomic gas
(C) 1 and 2 both should correspond to a monoatomic gas
(D) 1 should correspond to monoatomic and 2 should correspond to diatomic gas

7. The average depth of Indian Ocean is about 3000 m.. If the bulk modulus of ocean
9 −22 ∆V
water is 2 × 10 Nm , the fractional compression of water at the bottom of the
V
−2
ocean will be (assume g = 9.81 ms )

(A) 1.36%
(B) 1.47%
(C) 1.8%
(D) 2%

8. In the following circuit, the capacitance between the points A and B will be

(A) 3 µF
(B) 12 µF
(C) 4 µF
(D) 1 µF

9. Which one of the following is most suitable for making permanent magnet?

(A) Steel
(B) Soft iron
(C) Copper
(D) Nickel

10. A step down transformer has a 10 V secondary tapping. If the primary at 220 V draws
a current of 5 A,, and the secondary draws a current of 88 A,, what is the efficiency of
the transformer?

(A) 8.8%
(B) 88%
(C) 80%
(D) 8%

−10
11. If the uncertainty in the measurement of position of an electron is 10 m, what is
the uncertainty in the measurement of its momentum?

(A) 3.33 × 10−24 kgms
kg
−1

(B) 1.65 × 10−25 kgms−1

(C) 6.6 × 10−24 kgms
ms
−1

(D) 6.6 × 10−20 kgms
ms
−1

12. The Boolean expression for the circuit below is

(A) Y = A ⋅ B + C
(B) Y = A ⋅ ( B + C )
(C) Y = A ⋅ ( B + C )
(D) Y = A ⋅ ( B + C )

13. Which one of the following utilizes the phenomenon of total internal reflection?

(A) Formation of mirage
(B) Formation of rainbow
(C) Light propagation in optical fibers
(D) All of the above

14. Three stars A, B and C have surface temperature of TA, TB and TC respectively. If A
appears bluish, B appears reddish and C appears yellowish, then

(A) TA > TC > TB
(B) TA > TB > TC
(C) TB > TC > TA
(D) TC > TB > TA

15. A stone of mass 200 g is tied to the end of a string of length 0.5 m. It is whirled in a
circle with a frequency of 0.5 Hz. What is the tension in the string?

π2
(A) N
2
π2
(B) N
4
π2
(C) N
5
π2
(D) N
10

1
16. If the gravitational force of attraction between two bodies varies as 3 , the period of
r
revolution of a planet around the sun would vary as

(A) r
2
(B) r
(C) r
(D) 32
r

17. Two waves y1 = 0.2sin 320t and y2 = 0.2 sin 314t are propagating along the same
direction. The number of beats produced per second are

π
(A)
3
3
(B)
π
π
(C)
2
2
(D)
π

18. The shift in wavelength due to Doppler’s effect is 0.2 Å for a star producing
wavelength of 3000 Å. The velocity of recession of the star will be

(A) 5 km/s
(B) 10 km/s
(C) 20 km/s
(D) 30 km/s

19. If the light is polarised by reflection, then the angle between reflected and refracted
light is

(A) 36°
(B) 45°
(C) 90°
(D) 180°

20. The ratio of the slope of isothermal and adiabatic curves is

(A) γ
1
(B)
γ
(C) 1
3
(D)
2

21. Two dipoles of charges of magnitude ‘e’ are placed inside a cube. What will be the
total electric flux coming out of the cube?

4e
(A)
ε0
2e
(B)
ε0
e
(C)
ε0
(D) Zero

22. The ratio of magnetic field at the centre of a current carrying circular coil to its magnetic
moment is r. If the current and the radius both are halved, then the new ratio becomes

r
(A)
2
(B) 2r
r
(C)
8
(D) 8r

23. Lenz’s law is a consequence of the law of conservation of

(A) energy
(B) charge
(C) electric flux
(D) linear momentum

24. The monochromatic light is refracted from air into glass of refractive index µ. The
ratio of the wavelengths of the incident and refractive waves is

(A) 1:1
(B) µ:1
(C) 1:µ
2
(D) µ :1

25. A nucleus (atomic number 100 and mass number 200) emits four -particles and the
resultant nucleus emits five -particles. The atomic and mass number of the final
nucleus are

(A) 191, 92
(B) 186, 87
(C) 186, 97
(D) 191, 97

26. A compass needle suffers a deflection when placed near a wire carrying an electric
current. This was observed by

(A) Hans Christian Oersted
(B) Hendrik Antoon Lorentz
(C) Gustav Robert Kirchhoff
(D) Georg Simon Ohm

27. ∲B dA = 0 is representation of

(A) Gauss’s Law for electricity
(B) Gauss’s Law for magnetism
(C) Faraday’s Law
(D) Ampere – Maxwell Law

28. In the formation of rainbows, the violet light emerges at an angle of

(A) 10°
(B) 20°
(C) 30°
(D) 40°

29. In Pfund series, the value of principal quantum number ‘n’ starts from

(A) n = 2, 3, 4, ...
(B) n = 4, 5, 6, ...
(C) n = 5, 6, 7, ...
(D) n = 6, 7, 8, ...

30. The atomic mass of chlorine atom is

(A) 17.23 u
(B) 35.47 u
(C) 71.47 u
(D) 3.547 u

31. If the total energy of the reactants is more than the products of the reaction, heat is
released and the reaction is said to be an

(A) exothermic
(B) endothermic
(C) elongate
(D) amplitude

32. Ultrasonic waves in air produced by a vibrating quartz crystal are

(A) longitudinal waves
(B) transverse waves
(C) gravity waves
(D) electromagnetic waves

33. A point source of light is placed at a distance of 2 f from a converging lens of focal
length f. The intensity on the other side of the lens is maximum at a distance

(A) f
(B) 2 f
(C) more than 2 f
(D) between f and 2 f

34. Tesla is the unit of

(A) electric flux
(B) magnetic flux
(C) electric field
(D) magnetic induction

35. If the water falls from a dam into a turbine wheel 19.6 m below, then the velocity of
the water at the turbine is

(A) 9.8 m/sec
(B) 32.6 m/sec
(C) 58.8 m/sec
(D) 19.6 m/sec

36. A constant torque of 31.4 Nm is exerted on a pivoted wheel. If the angular
2
acceleration of wheel is 4π rad/s , then the moment of inertia will be
2
(A) 2.5 kgm
2
(B) 4.5 kgm
2
(C) 3.5 kgm
2
(D) 5.5 kgm

37. If the velocity of a particle is v = At + Bt 2 where A and B are constants. Then the
distance travelled by it between 1 s and 2 s is

3
(A) A + 4B
2
(B) 3A + 7B
3 7
(C) A+ B
2 3
1 1
(D) A+ B
2 3

38. The magnetic field in a travelling electromagnetic wave has a peak value of 35 nT.
The peak value of electric field strength is

(A) 6 V/m
(B) 8.3 V/m
(C) 10.5 V/m
(D) 12.5 V/m

39. The slits in Young’s double slit experiment are having equal width and the source is
placed symmetrically with respect to the slits. The intensity at the central fringe is I o .
If one of the slit is closed, the intensity at this point will be

(A) Io
Io
(B)
4
Io
(C)
2
(D) 4Io

40. To increase the angular magnification of a simple microscope, one should increase the

(A) focal length of the lens
(B) power of the lens
(C) aperture of the lens
(D) object size

41. Three capacitors of capacitances 6µF each are available. The minimum and maximum
capacitances, which may be obtained are

(A) 6 µF, 18 µF
(B) 3 µF, 12 µF
(C) 2 µF, 12 µF
(D) 2 µF, 18 µF

42. Consider the spectral line resulting from the transition n = 2 → n = 1 in the atoms and
ions given below. The shortest wavelength is produced by

(A) hydrogen atom
(B) deuterium atom
(C) singly ionized helium
(D) doubly ionized lithium

43. If a pn diode is reverse biased then the resistance measured by an ohmmeter will be

(A) zero
(B) low
(C) high
(D) infinite

44. An open pipe is suddenly closed at one end with the result that the frequency of the
third harmonic of the closed pipe is found to be higher by 100 Hz than the
fundamental frequency of the open pipe. Then the fundamental frequency of the open
pipe is

(A) 100 Hz
(B) 150 Hz
(C) 200 Hz
(D) 400 Hz

45. A light and a heavy body have equal kinetic energy. Which one has a greater momentum?

(A) The heavy body
(B) The light body
(C) Both (A) and (B)
(D) Cannot be said

46. Internal energy per mole of gas depends on

(A) viscosity
(B) density
(C) temperature
(D) thermal conductivity

47. If a sound wave enters water from air, then what remains unchanged?

(A) Frequency
(B) Amplitude
(C) Velocity
(D) Wavelength

48. To convert a galvanometer into an ammeter, we should connect

(A) a low resistance in series
(B) a low resistance in parallel
(C) a high resistance in series
(D) a high resistance in parallel

49. If a stationary charge is put inside a magnetic field, the charge will

(A) move in a straight line
(B) move in circle
(C) remain stationary
(D) move in a helix

50. Two plane mirrors are inclined at an angle of 60°. An object is placed symmetrically
between the mirrors. The total number of images formed by the two mirrors is

(A) 4
(B) 6
(C) 5
(D) 7

51. What is the voltage gain in a common emitter amplifier where input resistance is 3 Ω
and load resistance 24 Ω, β = 0.6?

(A) 8.4
(B) 4.8
(C) 2.4
(D) 480

52. Consider the following two statements (I) and (II) and identify the correct choice.

(I) The characteristic X-ray spectrum depends on the nature of the material of the
target.
(II) The short wavelength limit of the continuous X-ray spectrum varies inversely
on the potential difference applied to the X-ray tube.

(A) (I) is true and (II) is false
(B) (I) is false and (II) is true
(C) Both (I) and (II) are true
(D) Both (I) and (II) false

53. Two vectors having equal magnitudes Y make an angle α with each other. The
magnitude of the resultant is
(A) Y
(B) 2Y
α 
(C) 2Y cos  
2
(D) 2Y cos (α)

g
54. A block slides down an incline of angle 30° with an acceleration . Find the kinetic
4
friction co-efficient

3
(A)
2
1
(B)
2
1
(C)
2 3
1
(D)
2

22
55. The mass of moon is 7.4 × 10 kg and its radius is 1740 km. The escape velocity
from moon is

(A) 1740 km/s

(B) 870.4 km/s
(C) 2.38 km/s
(D) 1.7 km/s

56. A 50 cm long horizontally placed wire of mass 20 g is fixed to a wall at one end and
supports a mass of 1.6 kg at the other end hanging downwards with the help of a
pulley. The length of the wire between the wall and the pulley is 40 cm. The
fundamental frequency of the string between the wall and the pulley is

(A) 15 Hz
(B) 25 Hz
(C) 50 Hz
(D) 100 Hz

57. The pressure of the gas in a constant volume gas thermometer is 80 cm of mercury
in melting ice at 1 atm. When the bulb is placed in a liquid, the pressure becomes
160 cm of mercury. The temperature of liquid is

(A) 273.15 K
(B) 373.15 K
(C) 546.30 K
(D) 636.15 K

2
58. A parallel plate capacitor has plates of area 200 cm and the separation between the
plates 1.00 mm. What potential difference will be developed if a charge of 1.00 nC is
given to the capacitor?

(A) 0.17 V
(B) 1.00 V
(C) 5.65 V
(D) 11.30 V

59. Ultraviolet light of wavelength 280 nm is used in an experiment on photoelectric
effect with lithium cathode whose work function is 2.5 eV. Find the maximum kinetic
energy of the photoelectrons

(A) 1.9 eV
(B) 2.5 eV
(C) 4.4 eV
(D) 7.5 eV

60. A cart of weight 72 kg, and a man of weight 65 kg move towards each other on
a smooth horizontal surface. The velocity of the cart and the man are 3 km/h

and 6 km/h respectively. When the man reaches the cart, he jumps into it. Then
the speed of the cart carrying the man is

(A) 4.42 km/h
(B) 3.23 km/h
(C) 1.87 km/h
(D) 1.27 km/h

61. If the linear momentum is increased by 50%, then kinetic energy will be increased by

(A) 50%
(B) 20%
(C) 125%
(D) 100%

62. A heater coil is cut into two equal parts and only one part is now used in the heater.
The heat generated will now be

(A) doubled
(B) four times
(C) one-fourth
(D) halved

63. An electron is projected with uniform velocity along the axis of a current carrying
long solenoid. Which of the following is true?

(A) The electron will be accelerated along the axis
(B) The electron path will be circular about the axis
(C) The electron will experience a force at 45° to the axis and hence execute a
helical path
(D) The electron will continue to move with uniform velocity along the axis of the
solenoid

64. The polarity of induced emf is given by

(A) Ampere’s circuital law
(B) Biot-Savart law
(C) Lenz’s law
(D) Fleming’s right hand rule

65. In an n-type silicon, which of the following statement is true?

(A) Electrons are the majority carriers and trivalent atoms are the dopants
(B) Electrons are the minority carriers and pentavalent atoms are the dopants
(C) Holes are the minority carriers and pentavalent atoms are the dopants
(D) Holes are the majority carriers and trivalent atoms are the dopants

66. The amplitude of the magnetic field of harmonic electromagnetic wave in vacuum is
B0 = 450 nT. What is the amplitude of electric field part of the wave?

(A) 140 N/C
(B) 135 N/C
(C) 130 N/C
(D) 145 N/C

67. There is no atmosphere on the Moon because

(A) it is closer to the Earth
(B) it revolves around the Earth
(C) it gets light from the Sun
(D) the root mean square velocity of the gas molecules is more than the escape
velocity from moon

68. Which one of the following is NOT a conservative force?

(A) Magnetic force
(B) Force of friction
(C) Gravitational force
(D) Electrostatic force

69. The motion of holes and free electrons due to thermal agitation is called

(A) diffusion
(B) drift
(C) translation
(D) conduction

70. The color of an LED can be changed by

(A) increasing the charge carriers
(B) varying the doping level of the semiconductors
(C) increasing applied voltage
(D) by using different bandgap semiconductors

71. Consider a system of two identical particles. One of the particles is at permanent rest
and the other has acceleration a. The centre of mass has acceleration

(A) Zero
a
(B)
2
(C) a
(D) 2a

72. The unit of specific resistance is

(A) Ω
2
(B) Ω
(C) Ω metre
(D) Ω/m

73. Streamline flow is more likely for liquid with

(A) high density and high viscosity
(B) low density and low viscosity
(C) high density and low viscosity
(D) low density and high viscosity

74. In a nuclear reaction, which of the following is/are conserved?

(A) Mass only
(B) Energy only
(C) Momentum only
(D) Mass, energy and momentum

75. Resistance of the metallic conductors

(A) increases with rise in temperature
(B) decreases with rise in temperature
(C) remains unchanged with change in temperature
(D) becomes zero at very high temperature

CHEMISTRY (UG) – SHIFT II
(FINAL)

76. Which of the following sets of conditions makes a process spontaneous at all temperatures?

(A) ∆H = 0; ∆S > 0
(B) ∆H = 0; ∆S < 0
(C) ∆H < 0; ∆S > 0
(D) ∆H < 0; ∆S < 0

77. The alkali hydrolysis of an ester represented by
−
RCOOR' + OH RCOO− + R'OH
This reaction is,

(A) bimolecular and second-order
(B) bimolecular but first-order
(C) bimolecular but not second-order
(D) second-order but not bimolecular

78. Which of the following can be used to measure pH?

(A) Glass electrode
(B) Hydrogen electrode
(C) Quinhydrone electrode
(D) All of the above

79. Kinetic energy of a single molecule is given by the expression

(A) RT
(B) RT/N
(C) kT
(D) 1.5RT/N

80. In a reversible isothermal process change in internal energy

(A) ∆U = 0
(B) ∆U > 0
(C) ∆U < 0
(D) ∆U = P∆V

81. Heat of formation of sulphur dioxide, ∆H = −297 kJ. The heat liberated on burning
8 g of sulphur in oxygen is

(A) 297 kJ
(B) 223 kJ
(C) 148.5 kJ
(D) 74.25 kJ

82. In physical adsorption, the forces of attraction are,

(A) ionic
(B) covalent
(C) Van der Waal’s
(D) H-bonding

83. In a second order reaction 2A → products, if the concentration of A is doubled, t1/2 of
the reaction

(A) doubled
(B) quadrupled
(C) halved
(D) unchanged

84. The ionic strength (µ) for 0.1 M BaCl2 is given by

(A) 0.3 M
(B) 0.1 M
(C) 0.2 M
(D) 0.6 M

85. If 60 calories are added to a system and system does work of 20 calories on the
surroundings, the change in internal energy of system?

(A) 20 calories
(B) 50 calories
(C) 40 calories
(D) 30 calories

−1
86. For certain reaction R→P, the value of ∆H and ∆S are 60 KJ and 80 JK
respectively. The temperature at which ∆G = 0 is

(A) 477°C
(B) 750°C
(C) 800°C
(D) 450°C

87. Root mean square velocity of molecule A is four times greater than that of molecule B
at same temperature. The ratio of molecular weight of A to B (MA : MB)

(A) 1:4
(B) 2:1
(C) 4:1
(D) 1 : 16

88. The molecule which has zero dipole moment is

(A) CH2Cl2
(B) BF3
(C) NF3
(D) ClO2

0
89. Limiting molar conductivity of NH4OH (i.e., ᴧ m (NH4OH)) is equal to
0 0 0
(A) ᴧ m (NH4Cl) + ᴧ m (NaCl) − ᴧ m (NaOH)
0 0 0
(B) ᴧ m (NaOH) + ᴧ m (NaCl) − ᴧ m (NH4Cl)
0 0 0
(C) ᴧ m (NH4OH) + ᴧ m (NH4Cl) − ᴧ m (HCl)
0 0 0
(D) ᴧ m (NH4Cl) + ᴧ m (NaOH) − ᴧ m (NaCl)

90. If a spoon of copper metal is placed in a solution of ferrous sulphate, then

(A) Cu will precipitate out
(B) Iron will precipitate
(C) Cu and Fe will precipitate
(D) no reaction will take place

91. The vapour pressure of two liquids P and Q are 80 and 60 Torr respectively. The total
vapour pressure of the solution obtained by mixing three moles of P and two moles of
Q would be

(A) 68 Torr
(B) 72 Torr
(C) 140 Torr
(D) 20 Torr

d [ B]
92. 3 A → 2 B then the rate of reaction
dt

3 d [ A]
(A) −
2 dt
2 d [ A]
(B) −
3 dt
1 d [ A]
(C) −
3 dt
d [ A]
(D) 2
dt

93. Unit of third order reaction
2 −2 −1
(A) L mol t
−1 −1 −1
(B) mol L t
−1 −1
(C) mol L S
(D) mol−1 S−1

−3
94. A compound X has face centred cubic structure its density is 3.4 g cm . The length
of the unit cell is (molecular weight of X is 99 g/mol)

(A) 5.78 Å
(B) 6.78 Å
(C) 7.78 Å
(D) 8.783 Å

95. The orbital angular momentum of an electron in 2s orbital is

(A) zero
(B) one
(C) two
(D) three

96. Following reaction involves

CH3 CH3 CH3
HCl
CH3 CH CH2 CH3 C C CH3

CH3 Cl H

(A) Anti Markovnikov addition and rearrangement
(B) Markovnikov addition and rearrangement
(C) Rearrangement followed by Markovnikov addition
(D) Rearrangement followed by anti Markovnikov addition

97. What is the function of heme in the human body?

(A) It helps transport oxygen in the blood
(B) It helps to digest food in the stomach
(C) It is a structural component of cell membranes
(D) It is a cofactor in enzymes involved in DNA replication

98. What does a full “curved” arrow ( ) signify while writing reaction mechanisms?

(A) That two structures are enantiomers
(B) Represents movement of two electrons in the direction of the arrow
(C) Represents movement of an atom or a group in the direction of the arrow
(D) Resonating structures

99. How many distinct internal alkynes share the molecular formula C6H10 ?

(A) 4
(B) 3
(C) 2
(D) 1

100. Which among the following essential amino acids has sulphur containing side chain?

(A) Glycine
(B) Cysteine
(C) Methionine
(D) Tyrosine

101. Triphenyl carbinol can be prepared in one pot by the reaction of two equivalents of
phenylmagnesium bromide with

Ph

Ph C OH
Ph
triphenyl carbinol

(A) C6H5COOH (benzoic acid)
(B) C6H5CN (benzonitrile)
(C) PhCOOCH3 (methyl benzoate)
(D) PhCHO (benzaldehyde)

102. Which among the following reaction sequences would result in retention of
configuration at the reaction centre?

(A) SN1 followed by E1
(B) SN2 followed by E2
(C) SN2 followed by another SN2
(D) SN2 followed by SN1

103. Which among the following compounds is NOT formed in the positive test for
nitrogen in Lassaigne’s test for aniline?

(A) Fe4[Fe(CN)6]3
(B) Na3[Fe(CN)6]
(C) Fe(CN)3
(D) Na3[Fe(CN)5NOS]

104. An alkene on ozonolysis followed by hydrolysis gave acetaldehyde as the only
product. This alkene can exhibit

(A) optical isomerism
(B) geometrical isomerism
(C) both optical and geometrical isomerism
(D) neither optical nor geometrical isomerism

105. In the below sequence of reactions, ‘D’ is

(A)

(B)

(C)

(D)

106. Glucose and fructose are

(A) optical isomers
(B) tautomers
(C) functional isomers
(D) chain isomers

107. In nucleic acids the phosphate diester bond links

(A) two sugar units at the 5’, 3’ positions
(B) two nitrogen bases together
(C) one sugar unit with one nitrogen base
(D) two nucleic acid strands together

108. When injured, body generates prostaglandins as a warning signal. Prostaglandins
stimulate inflammation in the tissue and cause sensation of pain. Which among the
following drugs can inhibit the generation of prostaglandins?

(A) Meprobamate
(B) Dimetap
(C) Aspirin
(D) Salvarsan

109. Pick the statement that is NOT true for Freon refrigerant R-22.

(A) It causes ozone depletion
(B) Its molecular formula is CCl2F2
(C) It is prepared from CHCl3
(D) It is used for preparing tetrafluoroethene (C2F4)

110. Ethylmagnesium Iodide on treatment with water gives

(A) Ethanol
(B) Ethene
(C) Ethane
(D) n-Butanol

111. Phenol reacts with bromine in water at room temperature to give

(A) 4-bromophenol without the evolution of HBr
(B) a mixture of 2- and 4- bromophenols without the evolution of HBr
(C) the corresponding addition product 1,2,3,4,5,6-hexabromocyclohexanol
(D) 2,4,6-tribromophenol with the evolution of HBr

112. Base catalyst condensation between two molecules of acetaldehyde to give
3-hydroxybutanal is an example for

(A) Stobbe condensation
(B) Benzoin condensation
(C) Aldol condensation
(D) Perkin reaction

113. Hybridization and geometry of carbon in ethene are
3
(A) sp and Planar
2
(B) sp and Planar
(C) sp and Linear
2
(D) sp and Tetrahedral

114. Taj Mahal is being slowly disfigured and discoloured. This is primarily due to

(A) acid rain
(B) deposition of soot from stubble burning
(C) increased exposure to UV light due to ozone depletion
(D) global warming

115. Major product formed in the reaction of tolune with N-Bromosuccinimide (NBS) in
presence of benzoyl peroxide is

(A) a mixture of 2- and 4-bromotoluene
(B) benzyl bromide
(C) 3-bromotoluene
(D) 4-bromotoluene

2− 3− − 2+ + 3+
116. The correct order of the ionic radii of O , N , F , Mg , Na and Al is
3− 2− − + 2+ 3+
(A) N <O < F < Na < Mg < Al
3+ + 2+ 2− − 3−
(B) Al < Na < Mg <O <F <N
3+ 2+ + − 2− 3−
(C) Al < Mg < Na < F < O <N
(D) N3− < F− < O2− < Mg2+ < Na+ < Al3+

117. Which of the following represents the correct order of increasing first ionization
enthalpy for Ca, Ba, S, Se and Ar?

(A) Ca < S < Ba < Se < Ar
(B) S < Se < Ca < Ba < Ar
(C) Ba < Ca < Se < S < Ar
(D) Ca < Ba < S < Se <Ar

118. Among the following molecules/ions:
C22− , N 22− , O 22− , O 2 , which one is diamagnetic and exhibiting the highest bond
length?

(A) O2
(B) N 2 2−
(C) C 2 2−
(D) O 22−

119. Which of the following has unpaired electron(s)?

(A) N2
(B) O2−
2+
(C) O2
(D) O22−

120. The number of protons, electrons and neutrons in a molecule of heavy water are respectively

(A) 8,10,11
(B) 10,10,10
(C) 10,11,10
(D) 11,10,10

121. Which of the following metals is used in photoelectric cell?

(A) Na
(B) Li
(C) Rb
(D) Cs

122. Strong heating of an aqueous solution of aluminium chloride to dryness will give

(A) Al(OH)Cl2
(B) Al2O3
(C) Al2Cl6
(D) AlCl3

123. The alloy used in the construction of aircrafts is

(A) Mg-Al
(B) Mg-Zn
(C) Mg-Sn
(D) Mg-Mn

124. Match the ores (Column A) with the metals (Column B):

(Column A) (Column B)
(I) Siderite (a) Zinc
(II) Kaolinite (b) Copper
(III) Malachite (c) Iron
(IV) Calamine (d) Aluminium

(A) (I) –(a); (II) – (b); (III) –(c); (IV) – (d)
(B) (I) –(c); (II) – (d); (III) –(b); (IV) – (a)
(C) (I) –(c); (II) – (d); (III) –(a); (IV) – (b)
(D) (I) –(b); (II) – (c); (III) –(d); (IV) – (a)

125. Which one of the following substances has the highest proton affinity?

(A) H2S
(B) NH3
(C) PH3
(D) H2O

126. Which of the following has maximum number of lone pairs associated with Xe?

(A) XeF4
(B) XeF6
(C) XeF2
(D) XeO3

127. Which of the following does NOT show +4 oxidation state?

(A) Dy
(B) Ce
(C) Eu
(D) Tb

128. Which one of the following is paramagnetic?
3+
(A) [Fe(H2O)6]
2−
(B) [Ni(CN)4]
3−
(C) [Co(CN)6]
(D) [Ni(CO)4]

129. The compound used in the treatment of lead poisoning is

(A) D-penicillamine
(B) Desferrioxime B
(C) Cis-Platin
(D) EDTA

130. Which of the following gases will have least volume, if 5 g of each gas is taken at the
same temperature and pressure?

(A) N2
(B) O2
(C) HCl
(D) SO2

131. What will be the standard molar volume of Ne, if its density is 0.8999 g/L at STP?

(A) 11.2 L
(B) 5.6 L
(C) 2.8 L
(D) 22.4 L

132. How many electrons are associated with the quantum number n = 4?

(A) 32
(B) 64
(C) 16
(D) 8

133. Salvarsan, which is used for the syphilis treatment, contains

(A) phosphorus
(B) arsenic
(C) antimony
(D) iron

4−
134. The crystal field stabilization energy (CFSE) for an octahedral complex; [CoCl6] is
−1 2−
18000 cm . The CFSE for tetrahedral [CoCl4] will be

(A) greater than that of [CoCl6]4−
(B) 15000 cm−1
(C) equal to that of [CoCl6]4−
(D) 8000 cm−1

3−
135. Hybridization of [Fe(CN)6]
3 2
(A) sp d
3
(B) sp d
2 3
(C) d sp
3
(D) dsp

MATHEMATICS UG
(SHIFT – II FINAL)

136. The number of words that can be formed from the letters a, b, c, d , e, f taken 3 at a
time, each word continuing at least one vowel is
(A) 84
(B) 96
(C) 102
(D) 112

137. The number of ordered triples ( x, y, z ) such that x, y, z are primes and x y + 1 = z is

(A) 0
(B) 1
(C) 2
(D) 3

138. If n is an integer between 0 and 21, then the minimum value of n !(21 − n)! is

(A) 9! 21!
(B) 10! 11!
(C) 20!
(D) 21!

10
139. The sum of the rational terms in the expansion of ( 2 + 5 3 ) is
(A) 9
(B) 31
(C) 32
(D) 41

x2 y2 z2
140. Let p, q, r be three real numbers. Then the system + + = 1,
a 2 b2 c 2
x2 y2 z2 x2 y2 z 2
− + = 1, − + + = 1 has
a2 b2 c2 a 2 b2 c 2

(A) no solution
(B) unique solution
(C) finitely many solution
(D) infinitely many solution

141. The system of equations kx + 2 y − z = 1, (k − 1) y − 2 z = 2 and (k + 2) z = 3 have only
one solution when

(A) k = −2
(B) k = −1
(C) k =0
(D) k =1

∞ (log x) 2n
142. If S = ∑ , then S is equal to
n =0 (2n)!

(A) x + x −1
(B) x − x −1
1
(C) x + x −1
( )
2
1
(D) x − x −1
( )
2

143. For p, q ∈ Z , p | q means p is a factor of q. Then ' | ' is

(A) reflexive and symmetric
(B) symmetric and transitive
(C) reflexive and not transitive
(D) reflexive, transitive but not symmetric

144. Let ~ be the binary relation defined on ℝ defined by a ~ b if and only if a − b + 3
is an irrational number. Then ~ is

(A) an equivalence relation
(B) transitive only
(C) symmetric only
(D) reflexive only

145. One ticket is selected at random from 50 tickets numbered 00, 01,.., 49. Then the
probability that the sum of the digits on the selected ticket is 8, given that the product
of these digits is zero, equals

1
(A)
7
1
(B)
14
5
(C)
14
5
(D)
7

146. A number n is chosen at random from {1, 2,3,...,1000} . The probability that n is a
number that bears remainder 1 when divided by 7 is

71
(A)
500
143
(B)
1000
72
(C)
500
71
(D)
1000

147. The value of cos A ⋅ cos(60° − A) cos(60° + A) is

1
(A) cos 3 A
2
cos 3 A
(B)
4
(C) cos 3 A
(D) 1

7  π x
148. If sin x + cos x = where x ∈ 0,  , then tan is equal to
2  4 2

3+ 7
(A)
2
3− 7
(B)
2
4− 7
(C)
3
7 −2
(D)
3

 π  π  π
149. The maximum value of sin  x +  + cos  x +  in the interval  0,  is attained at
 6  6  2

π
(A)
12
π
(B)
6
π
(C)
3
π
(D)
2

150. The number of values of θ ∈ [ 0,5π ] satisfying the equation 3cos 2θ − 10 cos θ + 7 = 0 is

(A) 1
(B) 2
(C) 6
(D) 8

A B
151. Let ABC be a triangle with tan and tan are roots of bx 2 − 5 x + 1 = 0 . Then the
2 2
triangle is

(A) equilateral
(B) isosceles
(C) right angled
(D) a triangle with the largest angle 70°

152. The lines of regression of y on x and x on y are respectively y = x and
4 x − y − 3 = 0 and the second moment about the origin of x is 2. The variance of y is

(A) 9
(B) 8
(C) 5
(D) 4

153. The ranges of k for which the circles x 2 + y 2 = 4 and x 2 + y 2 − 4kx + 9 = 0 have two
common tangents, are

13
(A) k<
8
13
(B) 1< k <
8
13 13
(C) k> or k < −
8 8
 13 13 
(D) k ∈ − , 
 8 8

π 
154. Let f ( x) = sin x, g ( x) = 2 x and h( x) = cos x. If φ ( x) = ( g fh ) ( x), then φ "   =
4

(A) 2
(B) −2
(C) −4
(D) 4

3x − 3− x
155. The inverse of the function f ( x) = x − x is
3 +3

1  1− x 
(A) log 3  
2  1+ x 
1  1− x 
(B) log e  
3  1+ x 
1  1+ x 
(C) log 3  
2  1− x 
1  1+ x 
(D) log e  
3  1− x 

log 1 + x + x 2 + log 1 − x + x 2
( ) ( )=
156. lim
x→0 sec x − cos x

(A) 0
(B) ∞
(C) 1
(D) −1

157. The set of values of x for which log(1 + x) < x, is

(A) x<0
(B) x>0
(C) 0 < x <1
(D) x >1

158. If ∫ log 1 + x 2 dx = x log 1 + x 2 − k + c , where c is a constant, then the value of k is
( ) ( )
(A) 2 x + 2 tan −1 x
(B) −2 x + 2 tan −1 x
(C) 2 x − 2 tan −1 x
(D) −2 x − 2 tan −1 x

1 4π sin t
sin t 2 dt =
159. Let I = ∫ dt . Then ∫
0 1 + t 4π − 2 4π + 2 −t

(A) 2I
(B) −2I
(C) I
(D) −I

2
160. The differential equation
dy x 1 + y
=
( )
represents
dx y 1 + x 2
( )
(A) straight line
(B) hyperbola
(C) circle
(D) ellipse

6− x x
161. The number of real solutions of the equation = 2+ is
x2 − 4 x+2

(A) 4
(B) 3
(C) 2
(D) 1

x+2 1
162. The number of integral solutions of 2
> is
x +1 2

(A) 1
(B) 2
(C) 3
(D) 0

100
49 3 3 
163. If 3 ( x + iy ) =  + i  and x = ky, then k is
2 2 

1
(A) −
3
(B) 3
(C) − 3
1
(D) −
3

164. The equation NOT representing a circle is given by

 1+ z 
(A) Re  =0
 1− z 
(B) zz + iz − i z + 1 = 0

 z −1  π
(C) arg  =
 z +1 2
z −1
(D) =1
z +1

1 1 π4 1 1 1
165. If 4
+ 4
+ ... + ∞ = , then 4 + 4 + 4 + ...∞ is equal to
1 2 90 1 3 5

π4
(A)
96
π4
(B)
45
89π 4
(C)
90
π4
(D)
46

166. The sum of first n terms of the series 12 + 2 ⋅ 22 + 32 + 2 ⋅ 42 + 52 + 2 ⋅ 62 + ... is
n(n + 1)2
when n is even. When n is odd, the sum is
2

n 2 (n + 1)
(A)
2
n(n + 1)2
(B)
2
2
(C)  n(n + 1) 
 2 

n(n + 1)
(D)
2

3 7 15 31
167. The sum of the series 1 + + + + + ... to n terms is equal to
2 4 8 16

1
(A) 2n − n
2
1
(B) 2+ n
2
1
(C) 2n − 1 + n
2
1
(D) 2(n − 1) + n−1
2

168. If the value of k for which the equation 3x 2 + 2 k 2 + 1 x + k 2 − 3k + 2 = 0 possesses
( ) ( )
roots of opposite sign lies in

(A) (−∞,1)
(B) (−∞, 0)
(C) (1, 2)
3 
(D)  ,2
2 

169. Let α and β be roots of the equation x 2 + x α + β = 0. Then

(A) α = 1, β = −1
(B) α = 1, β = −2
(C) α = 2, β = 1
(D) α = 2, β = −2

170. Consider the region 5 x + y ≤ 100, x + y ≤ 60, x ≥ 0, y ≥ 0. Then the point (25, 40)

(A) lies outside the region
(B) is on the boundary
(C) lies inside the region
(D) is the only point in the region

2
171. If α and β are the roots of the equation x + x + 1 = 0, then the equation whose roots
19 7
are α and β is

(A) x2 − x + 1 = 0
(B) x2 + x − 1 = 0
(C) x2 + x + 1 = 0
(D) x2 − x − 1 = 0

172. Let (1 + i)(1 + 2i)(1 + 3i) … (1 + 20i) = a + ib. Then 2.5.10. … .401 is equal to

(A) a − bi
(B) ab
2 2
(C) a − b
2 2
(D) a + b

173. If f ( x) = log x , x ≠ 0 then f '( x) equals

1
(A)
x
1
(B) −
x

1
(C) −
x
1
(D)
x

dx
174. ∫ x x6 − 16 is equal to

1 −1  x3 
(A) sec   + c
3  4 
 
 x3 
(B) cosh −1   + c
 4 
 
1  x3 
(C) sec−1   + c
12  4 
 
3
x 
(D) sec−1   + c
 4 
 

dy
175. The solution of the differential equation x + y = 0 is a family of
dx

(A) straight lines
(B) circles
(C) ellipses
(D) parabolas

3z
176. Assume that z satisfies the condition that the imaginary part of is −1. Then the
iz + 1
locus of z is

(A) a point
(B) a circle
(C) a pair of straight lines
(D) an ellipse

177. Given that a, b, c are in Arithmetic Progression and a , b , c < 1.
2 2
Let p = 1 + a + a + …+ ∞, q = 1 + b + b + . . .+ ∞ and
2
r = 1 + c + c + . . . + ∞. Then p, q, r are in

(A) AP
(B) GP
(C) HP
(D) equal

178. The equation of the common tangent touching the circle ( x − 3) 2 + y 2 = 9 and the
parabola y 2 = 4 x above the x-axis is

(A) 3 y = 3x + 1

(B) 3 y = −( x + 3)

(C) 3y = x + 3

(D) 3 y = −(3 x + 1)

179. Which of the following is a contradiction?

(A) p ∨ q
(B) p ∧ q
(C) p ∨ ∼p
(D) p ∧ ∼ p

180. The length of the straight line x − 3y − 1 = 0 intercepted by the hyperbola
2 2
x − 4y = 1 is

6
(A) 10
5
6
(B) 10
7
(C) 10
6
(D)
5

2 2
181. If P represents z = x + iy in the argand plane and |z − 1| + |z + 1| = 4, then the locus
of P is
2 2
(A) x +y =2
2 2
(B) x + y = 1
2 2
(C) x + y = 4
(D) x + y = 2

2 2 2
182. If y = x − x , then the derivative of y with respect to x is
2
(A) 2x − 3x + 1
2
(B) 2x + 3x + 1
2
(C) 2x − 3x − 1
2
(D) 2x − 6x + 1

x f(x)
183. The range of the function e + e = e is

(A) (−∞, 1]
(B) [1,∞)
(C) (1,∞)
(D) (−∞, 1)

 x
184. The points on the curve y 2 = 4a  x + a + sin  at which the tangent is parallel to
 a
x-axis, lie on

(A) a straight line
(B) a circle
(C) an ellipse
(D) a parabola

2
185. The least integer value of m such that (m − 2)x + 8x + m + 4 > 0 for all x ∈ R is

(A) 10
(B) 2
(C) 12
(D) 5

186. Let R = {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)} be a relation on
the set A = {3, 6, 9, 12}. Then the relation R is

(A) reflexive and transitive only
(B) an equivalence relation
(C) reflexive only
(D) reflexive and symmetric only

4 4
187. The total number of solutions of sin x + cos x = sin x.cos x in [0, 2π] is equal to

(A) 2
(B) 4
(C) 6
(D) 8

188. Let a, b, c be distinct non-native numbers. If the vectors aiˆ + ajˆ + ckˆ, iˆ + kˆ and
ciˆ + cjˆ + bkˆ lie in a plane, then c is

(A) the harmonic mean of a and b
(B) equal to 0
(C) the arithmetic mean of a and b
(D) the geometric mean of a and b

189. The angle between the straight line r = 2i + 3 j + k + t (iˆ − ˆj + kˆ) and the plane
( )
2 x − y + z = 5 is

 2 
(A) sin −1  
3 3
2 3
(B) sin −1  
 3 
 3 
(C) cos −1  
2 3
2
(D) cos −1  
3

190. The number of variety of salads can be made from cucumber, tomatoes, apples,
oranges and bananas is
(A) 16
(B) 31
(C) 32
(D) 62

191. If the three points U(1, 6), V(3, −4) and W(a, b) are collinear, then the equation
satisfying by a and b is

(A) 5a + b − 11 = 0
(B) 5a + 13b + 5 = 0
(C) 5a − 13b + 5 = 0
(D) 13a − 5b + 5 = 0

192. Two n bit binary strings, S1 and S2 are chosen randomly with uniform probability.
The probability that the Hamming distance between these strings (the number of bit
positions where the two strings differ) is equal to

d
(A)
2n
nCd
(B)
2d
nCd
(C)
2n
1
(D)
2d

cos(2π z )
193. The value of the integral ∫ dx where C is a closed curve given by
C (2 z − 1)( z − 3)

z = 1 is

(A) π i
(B) −π i
πi
(C)
5
2π i
(D)
5

x +1 y z − 3
194. The angle between the line = = and the plane 3 x + y + z = 7 is
2 3 6

 7 11 
(A) sin −1  
 15 
 15 
(B) sin −1  
 7 11 
 7 11 
(C) cos −1  
 15 
 15 
(D) cos −1  
 7 11 

195. A solution to x − 5 − 9 − x > 1, x ∈ ℤ is

(A) 4
(B) 9
(C) 5
(D) 8

196. If α , β , γ are the roots of the equation x3 + 4 x + 1 = 0, then the value of
(α + β )−1 + ( β + γ )−1 + (γ + α )−1 is

(A) 2
(B) −1
(C) 4
(D) 0

197. The locus of Re( z + 1) = z − 1 is

(A) a straight line
(B) a circle
(C) a parabola
(D) an ellipse

360  1 
198. The sum of the series ∑   is
 
k =1  k k + 1 + ( k + 1) k 

17
(A)
19
18
(B)
19
16
(C)
19
20
(D)
19

199. Let f ( x) be a polynomial of degree 3 such that f (3) = 1, f '(3) = −1, f "(3) = 0 and
f "'(3) = 12. Then the value of f '(1) is

(A) 12
(B) 23
(C) −13
(D) 0

a +π
2
200. The value of the integral ∫ ( sin x + cos x ) dx is
a

(A) aπ
(B) 2aπ
aπ
(C)
2
(D) independent of a

201. Consider the equation y − y1 = m ( x − x1 ) . In this equation, if m and x1 are fixed and
different lines are drawn for different values of y1, then

(A) the lines will pass through a single point
(B) there will be one possible line only
(C) there will be a set of parallel lines
(D) there are at least two lines

202. If the standard deviation of a set of observations is 4 and if each observation is
divided by 4, the standard deviation of the new set of observations will be

(A) 4
(B) 3
(C) 2
(D) 1

203. The period of the function f ( x) = tan x is

(A) π
(B) 2π
π
(C)
2
π
(D)
4

2
204. The number of solutions of the equation z 2 + z = 0, where z ∈ ℂ, is

(A) one
(B) two
(C) three
(D) infinitely many

205. If n ∈ ℕ, then 10n + 3 4n+ 2 + 5 is divisible by
( )
(A) 7
(B) 5
(C) 9
(D) 17

206. Let f ( x + y ) = f ( x) f ( y ) for all x, y where f (0) ≠ 0. If f '(0) = 2, then f ( x) is
equal to

(A) Ae x
(B) Ae2 x
(C) 2x
(D) Ae−2 x

207. The exponent of 3 in 100! is

(A) 40
(B) 48
(C) 50
(D) 45

208. Out of 10 consonants and 4 vowels, the number of words that can be formed such that
each containing 3 consonants and 2 vowels is

(A) 86500
(B) 86800
(C) 86400
(D) 86300

5
...
55
209. The remainder when x = 5 (24 times 5), is divisible by 24, is

(A) 4
(B) 24
(C) 5
(D) 6

210. If ax 2 + bx + c = 0, a, b, c ∈ R has no real roots, and if c < 0, then

(A) a < 0
(B) a + b + c > 0
(C) a > 0
(D) a = c

211. A pair of fair dice is rolled together till a sum of either 5 or 7 is obtained. If P denotes
the probability that 7 comes before 5, then 15P is equal to

(A) 8
(B) 1
(C) 3
(D) 9

212. If common chord of the circle C with centre at (2, 1) and of radius r and the circle
x 2 + y 2 − 2 x − 6 y + 6 = 0 is a diameter of the second circle, then value of r is

(A) 3
(B) 2
3
(C)
2
(D) 1

15
213. The ratio of the coefficient of x to the term independent of x in the expansion of
15
 2 2
x +  is
 x

(A) 1:8
(B) 1 : 12
(C) 1 : 16
(D) 1 : 32

214. Maximum value of 2997 sin x + 3996 cos x is equal to

(A) 4998
(B) 4932
(C) 4900
(D) 4995

 π 2 tan 2 x
215. If α ∈  0,  , then the expression x +x+ is always greater than or equal to
 2 x2 + x

(A) 2 tan α
(B) 2
(C) 1
(D) sec2 α

2003
216. The remainder when 2 is divided by 17 is

(A) 1
(B) 2
(C) 8
(D) 3

log 2 24 log 2 192
217. The value of − is
log96 2 log12 2

(A) 3
(B) 0
(C) 2
(D) 1

n
218. (
If zn = 1 + i 3 ) , find the value of 3 Im ( z5 z4 )
(A) 1536
(B) 1436
(C) 1578
(D) 1565

219. The diagonal of a parallelogram PQRS are along the lines x + 3y = 4 and
6x − 2y = 7, then PQRS must be a

(A) rectangle
(B) square
(C) cyclic quadrilateral
(D) rhombus

220. A line is drawn through the point P (3, 11) to cut the circle x 2 + y 2 = 9 at A and B.
Then PA ⋅ PB is equal to

(A) 9
(B) 121
(C) 205
(D) 139

221. P (sin θ , cos θ ) and Q(cos θ , sin θ ) are two points whose mid point is at the origin.
R (sin 2θ , cos θ ) is a point on the plane whose distance from the origin is

2
(A)
3
3
(B)
2
3
(C)
2
1
(D)
2

222. The number of points ( p, q ) such that p, q ∈ {1, 2,3, 4} and the equation

px 2 + qx + 1 = 0 has real roots is

(A) 7
(B) 8
(C) 9
(D) 16

223. If A and B are two square matrices such that B = − A−1BA, then ( A + B) 2 is equal to

(A) 0
(B) A2 + B 2
(C) A2 + 2 AB + B 2
(D) A + B

224. Vertices of a triangle are (0, 0) , (41a, 37) and (−37, 41b) where a and b are the roots
of the equation 3 x 2 − 16 x + 15 = 0 . The area of the triangle is equal to

(A) 4678
(B) 4356
(C) 4887
(D) 4879

225. Let R be a relation on the set L of lines defined by l1R l2 if l1 is perpendicular to l2 .
Then the relation R is

(A) reflexive and symmetric
(B) symmetric and transitive
(C) an equivalence relation
(D) symmetric

FINAL ANSWER KEY
TEST FOR PHYSICS CHEMISTRY MATHEMATICS SHIFT II
SI No. Key SI No. Key SI No. Key SI No. Key SI No. Key
1 A 31 A 61 C 91 B 121 D
2 D 32 A 62 A 92 B 122 B
3 C 33 B 63 D 93 A 123 A
4 B 34 D 64 C 94 A 124 B
5 B 35 D 65 C 95 A 125 D
6 B 36 A 66 B 96 B 126 C
7 C 37 C 67 D 97 A 127 C
8 C 38 C 68 B 98 B 128 A
9 A 39 B 69 A 99 B 129 D
10 C 40 B 70 D 100 C 130 D
11 B 41 D 71 B 101 C 131 D
12 D 42 D 72 C 102 C 132 B
13 D 43 C 73 D 103 A 133 B
14 A 44 C 74 D 104 B 134 D
15 D 45 A 75 A 105 B 135 C
16 B 46 C 76 C 106 C 136 B
17 B 47 A 77 A 107 A 137 B
18 C 48 B 78 D 108 C 138 B
19 C 49 C 79 D 109 B 139 D
20 B 50 C 80 A 110 C 140 B
21 D 51 B 81 D 111 D 141 B
22 D 52 C 82 C 112 C 142 C
23 A 53 C 83 C 113 B 143 D
24 B 54 C 84 A 114 A 144 D
25 C 55 C 85 C 115 B 145 B
26 A 56 B 86 A 116 C 146 A
27 B 57 C 87 D 117 C 147 C
28 D 58 C 88 B 118 D 148 D
29 D 59 A 89 D 119 B 149 A
30 B 60 D 90 D 120 B 150 D

SI No. Key SI No. Key SI No. Key
151 C 181 B 211 D
152 D 182 A 212 A
153 C 183 D 213 D
154 C 184 D 214 D
155 C 185 D 215 A
156 C 186 A 216 C
157 B 187 A 217 A
158 B 188 D 218 A
159 D 189 B 219 D
160 B 190 B 220 B
161 D 191 A 221 C
162 C 192 C 222 A
163 D 193 D 223 B
164 D 194 B 224 C
165 A 195 B 225 D
166 A 196 C
167 D 197 C
168 C 198 B
169 B 199 B
170 A 200 D
171 C 201 B
172 D 202 D
173 D 203 A
174 C 204 D
175 B 205 C
176 B 206 B
177 C 207 B
178 C 208 C
179 D 209 C
180 A 210 A