CUSAT CAT 2023 Question Paper Physics Chemistry Maths Shift IV

TEST FOR PHYSICS CHEMISTRY MATHEMATICS SHIFT IV

PHYSICS UG SHIFT IV
(FINAL)
1. A flywheel experiencing a torque τ by an external motor rotates with an angular
velocity ω. Then which one of the following is TRUE?

(A) ω is proportional to τ
1
(B) ω is proportional to
τ
(C) ω is proportional to τ
1
(D) ω is proportional to
τ

2. Two satellites of masses m1 and m2 (m1 > m2) are revolving round the earth in
circular orbits of radius r1 and r2 (r1 > r2) respectively. Which one of the following is
true of their speeds v1 and v2 ?

(A) v1 = v2
(B) v1 > v2
(C) v1 < v2
v1 v2
(D) =
r1 r2

3. According to Hookes’s law of elasticity, if the stress is increased to 4 times its
previous value, the ratio of stress to strain

(A) increases by 4 times
(B) increases by 2 times
(C) remains unchanged
(D) depends on the material property

4. The coefficient of linear expansion of a crystalline substance in the x, y and z
−4 −4 −4
directions are 1 × 10 /°C, 2 × 10 /°C and 3 × 10 /°C respectively. The coefficient
of cubical expansion of the crystal is equal to

(A) 36 × 10−4/°C
(B) 6 × 10−4/°C
(C) 10−4/°C
(D) 2 × 10−4/°C

5. In an adiabatic expansion of a gas, the gas does 25 J of work. Then the difference in
the internal energy in the process is

(A) 25 J
(B) −25 J
(C) Zero
(D) 50 J

6. The equation of state for 8 g of O2 molecule will be

(A) PV = 8RT
RT
(B) PV =
4
(C) PV = RT
RT
(D) PV =
2

7. A ball of mass 5 kg is taken to a height of 3 m above the ground. Then the potential
energy stored by the ball is about

(A) 121.2 J
(B) 147. 15 J
(C) 227.31 J
(D) 182. 21 J

8. A rectangular loop carrying a current i is placed near a long straight wire carrying a
steady current I such that the wire is parallel to one of the side of the loop and is in
plane of the loop, as shown in the figure below.

The loop then the

(A) rotates about an axis parallel to the long wire
(B) moves away from the wire
(C) moves towards the wire
(D) remains stationary

9. The self inductance of a coil is L. Keeping the length and area same, the number of
turns in the coil is increased to four times. The self inductance of the coil will be

1
(A) L
4
(B) L
(C) 4L
(D) 16L

10. The average electric field of electromagnetic waves in certain region of free
−4 −1
space is 9 × 10 NC . Then the average magnetic field in the same region is of the
order of

(A) 27 × 10−4 T

(B) 3 × 10−12 T

(C) 3 × 10−4 T
1 −4
(D) × 10 T
3

11. The colour code on a resistor is red, red, black. The value of its resistance is

(A) (22 ± 2.2) Ω
(B) 22 Ω
(C) (22 ± 0.44) Ω
(D) (22 ± 4.4) Ω

12. An unstable heavy nucleus at rest breaks into two daughter nuclei which move away
with velocities in the ratio 9 : 27. The ratio of the radii of the nuclei (assuming them
to be spherical) is

(A) 9 : 27
(B) 2:3
(C) 4:9
(D) 3:2

13. The focus of all particles in a medium vibrating in the same phase is called

(A) wavelet
(B) wavefront
(C) wave train
(D) wave function

14. A stone dropped from the top of a tower hits the ground after 6 s. How much time
does it take to cover the first one-third
one third of the distance from the top of the tower?
(A) 4 s
(B) 2 3s
(C) 3s
(D) 2 s

15. A cube of ice is floating in water contained in a vessel. When the ice melts, the level
of water in the vessel

(A) falls
(B) rises
(C) remains unchanged
(D) falls at first and then rises

16. A 20 kg block is suspended by two light spring balances as shown in the figure.
figure What
will be reading of both scales?

(A) 20 kg, 20 kg
(B) 10 kg, 10 kg
(C) 0 kg, 20 kg
(D) 20 kg, 0 kg

17. Two circular loops A and B of radii R and NR respectively are made from a uniform
wire. The moment of inertia of B about its axis is 3 times the moment of inertia of A
about its axis. The value of N is

(A) 3−1 3
(B) 31 3
(C) 32 3
(D) 3−2 3

18. In Young’s double slit experiment, the central point on the screen is

(A) dark
(B) bright
(C) first bright and then dark
(D) first dark and then bright

19. The root mean square speed of the molecule of an enclosed gas is v. If the pressure is
doubled keeping the temperature constant, the root mean square speed will be

(A) v
(B) 2 v
v
(C)
2
(D) 2v

20. Two uniform aluminium rods A and B of length l and 2l and radius r and 2r
respectively are heated to same temperature. The ratio of the increase in the length of
A to that of B is

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

21. A milliammeter of resistance 40 Ω has a range of 0-30 mA. What will be the
resistance used in series to convert it into a voltmeter of range 0-15 V?

(A) 300 Ω
(B) 360 Ω
(C) 400 Ω
(D) 460 Ω

22. The magnetic field in a travelling electromagnetic wave has a peak value of 40 nT.
The peak value of electric field strength is

(A) 1 V/m
(B) 4 V/m
(C) 8 V/m
(D) 12 V/m

23. Two circular current carrying coils of radii 2 cm and 3 cm are equivalent to magnetic
dipoles having equal magnetic moments. The ratio of currents through the coils are

4
(A)
9
9
(B)
4
2
(C)
3
3
(D)
4

24. The time taken by light to pass through a glass slab of thickness 5 mm and refractive
index 1.5 is

(A) 2.5 × 10−13 s
(B) 3 × 10−13 s
(C) 2.5 × 10−11 s
(D) 3 × 10−11 s

25. The collector current in a transistor is 4 mA and the base current is 200 µA. The
current gain for the common base configuration is

(A) 0.95
(B) 0.90
(C) 0.85
(D) 0.80

26. The television uses the ……………... to generate magnetic fields needed

(A) solenoid
(B) toroid
(C) both solenoid and toroid
(D) solar cell

27. Which one of the following cannot be used for detection of X-Rays?

(A) Photographic film
(B) Photocells
(C) Geiger tubes
(D) Ionisation chamber

28. A microscope …………… objects and produces their larger image

(A) magnifies
(B) resolves
(C) capture
(D) reduce

29. The ground state energy of hydrogen atom is

(A) 13.6 eV
(B) 27.2 eV
(C) −13.6 eV
(D) infinity

30. β-decay emits

(A) electrons or positrons
(B) proton
(C) phonon
(D) hole

31. A cylinder is stretched by two equal forces applied normal to its cross-sectional area.
The restoring force per unit area in this case is called

(A) Poisson ratio
(B) Compressive strength
(C) Tensile stress
(D) Micro strain

3t 3 t 2
32. A particle starts rotating from rest according to θ = − , then the angular
20 3
acceleration at the end of 5 seconds is
(A) 7.92 rad/sec
2
(B) 3.83 rad/sec
(C) 5.48 rad/sec
2
(D) 8.23 rad/sec

33. If Young’s double slit apparatus is immersed in a liquid of refractive index µ , the
fringe width β '

β
(A) reduces to
µ
(B) increases to µβ
(C) remains constant
(D) increases to (µ + 1)β

34. Air is pushed into a soap bubble of radius r to double its radius. If the surface tension
of the soap solution is S, the work done in the process is

(A) 8π r 2 S
(B) 24π r 2 S
(C) 16π r 2 S
(D) 4π r 2 S

35. How much water a pump of 2 kW can raise in one minute to a height of 10 m?
2
(Take g = 9.8m/s )

(A) 1000 litres
(B) 100 litres
(C) 1200 litres
(D) 2000 litres

R
36. The moment of inertia of a circular loop of radius R at a distance of around a
2
rotating axis parallel to horizontal diameter of loop is

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

37. Longitudinal waves CANNOT

(A) have a unique wavelength
(B) have a unique wave velocity
(C) transmit energy
(D) be polarized

38. The charge of a parallel plate capacitor is varying as q = q0 sin 2π vt . The plates are
very large and close together. Neglecting edge effects, the displacement current
through the capacitor is

q
(A)
Aε 0

q0
(B) sin 2π vt
ε0

(C) 2π vq0 cos 2π vt

2π vq0
(D) cos 2π vt
ε0

39. Mechanism of light transmission in optical fibers are based on

(A) total internal reflection
(B) scattering
(C) refraction
(D) absorption

40. A charge q is placed at the centre of the line joining two equal positive charges Q. The
system of the three charges will be in equilibrium, if q is equal to

Q
(A) −
2
Q
(B) −
4
Q
(C) +
2
Q
(D) +
4

41. A particle is moving in a circle of radius r under the action of a force F = α r 2 which
is directed towards centre of the circle. Total mechanical energy (which is sum of
kinetic energy and potential energy), of the particle is (Take potential energy is = 0 for
r = 0)

1 3
(A) αr
2
5 3
(B) αr
6
4 3
(C) αr
3
(D) α r 3

42. Two identical particles move towards each other with velocities 2v and v
respectively. The velocity of their centre of mass will be

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

43. Choose the INCORRECT statement.

(A) Newton proposed corpuscular theory of light
(B) Huygens replaced Newton’s theory by wave theory of light
(C) Einstein put forward quantum theory of light
(D) de Broglie gave the concept of dual nature of matter

44. In a carnival ride, a passenger travel in a merry-go-around at constant speed in a circle
of radius 5 m and he took 4 sec to complete. The acceleration is
2
(A) 12 m/s
2
(B) 49 m/s
2
(C) 3 m/s
2
(D) 8 m/s

45. A dancer on a turn table if suddenly folds her hands, then the speed of the turntable

(A) decreases
(B) remain unchanged
(C) increases
(D) None of the above

46. An isochoric process is one which takes place at

(A) constant internal energy
(B) constant entropy
(C) constant volume
(D) constant pressure

47. Two simple harmonic motions in the x-y plane are described by x = A cos ω t and
y = A cos(ω t + ϕ ) . The superposition of these two motions is a straight line. The
value of φ would then be

π
(A)
2
3π
(B)
2
(C) π
π
(D)
4

48. The potential difference across 8 Ω resistance is 48 V as shown in the figure. The
value of potential difference across X and Y points will be

(A) 160 V
(B) 128 V
(C) 80 V
(D) 62 V

49. An electron and a proton enter a magnetic field perpendicularly. Both have same
kinetic energy. Which of the following is TRUE?

(A) Trajectory of electron is less curved
(B) Trajectory of proton is less curved
(C) Both trajectories are equally curved
(D) Both move on straight path

50. The refractive index of the water is 1.33. What will be the speed of light in water?

(A) 3 × 108 ms−1
(B) 2.25 × 108 ms−1
(C) 4 × 108 ms−1
(D) 1.33 × 108 ms−1

51. When an electron jumps from the fourth orbit to the second orbit, one gets

(A) second line of Paschen series
(B) second line of Lyman series
(C) second line of Balmer series
(D) first line of Pfund series

52. Zener diode is used as a

(A) amplifier
(B) voltage regulator
(C) rectifier
(D) oscillator

53. A ball is dropped from a balloon going up with a uniform velocity of 5.0 m/s. If the
balloon was 50 m high when the ball was dropped, find its height when the ball hits
the ground.

(A) 50.0 m
(B) 63.3 m
(C) 68.5 m
(D) 74.4 m

54. An elevator weighing 500 kg is to be lifted up at a constant velocity of 0.20 m/s. The
minimum power of the motor that required is

(A) 500 W
(B) 1000 W
(C) 1500 W
(D) 10000 W

3
55. The density of air near earth’s surface is 1.3 kg/m and the atmospheric pressure is
5 2
1 × 10 N/m . If the atmosphere had uniform density, same as that observed at the
surface of the earth, what would be the height of the atmosphere to exert the same
pressure?
5
(A) 10 m
(B) 8848 m
(C) 7692 m
(D) 4231 m

56. A sound wave of frequency 10 kHz is travelling in air with a speed of 340 m/s. Find
the minimum separation between two points where the phase difference is 60°.

(A) 340.00 cm
(B) 57.00 cm
(C) 3.40 cm
(D) 0.57 cm

57. The internal energy of a monoatomic ideal gas is 1.5 nRT. One mole of helium is
2
kept in a cylinder of cross-section 8.5 cm . The cylinder is closed by a light
frictionless piston. The gas is heated slowly in a process during which a total of 42 J
heat is given to the gas. If the temperature rises through 2°C, find the distance moved
by the piston. (Atmospheric pressure = 100 kPa)

(A) 0.2 m
(B) 0.4 m
(C) 0.6 m
(D) 0.8 m

58. A battery of emf 2 V and internal resistance 0.5 Ω is connected across a resistance of
9.5 Ω. How many electrons cross through a cross-section of the resistance in 1 second?
18
(A) 1.25 × 10
18
(B) 3.25 × 10
15
(C) 1.25 × 10
15
(D) 3.25 × 10

59. The magnitude of a vector E is 5 unit, F has a magnitude of 6 unit and the cross
product of E and F has a magnitude of 15 units. The angle between E and F is

(A) 0°
(B) 30°
(C) 60°
(D) 90°

60. A ball starts from rest and falls on ground vertically from a height of 20 m. The
distance traveled by the ball during the last 0.3 s is

(A) 2.35 m
(B) 4.85 m
(C) 5.65 m
(D) 7.25 m

61. The angle of contact at the interface of water-glass is 0°, Ethylalcohol-glass is 0°,
mercury-glass is 140° and Methyl iodide-glass is 30°. A glass capillary is put in a
trough containing one of these four liquids. It is observed that the meniscus is convex
upward. The liquid in the trough is

(A) water
(B) ethyl alcohol
(C) mercury
(D) methyl iodide

62. What will be the reading of the voltmeter across the resistance and ammeter in the
circuit shown in the figure?
Ω
R=100Ω

V V V
100 V 100 V
A

220V, 50Hz

(A) 300 V, 2A
(B) 800 V, 2A
(C) 100 V, 2A
(D) 220 V, 2.2A

63. A current carrying loop is placed in a uniform magnetic field. The torque acting on it
does not depend upon

(A) area of the loop
(B) value of the current
(C) the magnetic field
(D) shape of the loop

64. When current in a coil changes from 5 A to 2 A in 0.1 s, average voltage of 50 V is
produced. The self-inductance of the coil is

(A) 1.67 H
(B) 6H
(C) 3H
(D) 0.67 H

65. What is the charge on sphere with diameter of 2.4 m and has a surface charge density
2
of 80 µC/m ?

(A) 1.45 × 10−3 C
(B) 2.35 × 10−3 C
(C) 1.35 × 10−3 C
(D) 1.45 × 10−5 C

66. The magnification of an image by a convex lens is positive only when the object is
placed

(A) at its focus F
(B) between F and 2F
(C) at 2F
(D) between F and optical centre

67. A sine wave is travelling in a medium. The minimum distance between the two
particles always having same speed is

λ
(A)
4
λ
(B)
3
λ
(C)
2
(D) λ

68. When a copper ball is heated, the largest percentage increase will occur in its

(A) diameter
(B) area
(C) volume
(D) density

69. At absolute temperature, an intrinsic semiconductor has

(A) a few free electrons
(B) many holes
(C) many free electrons
(D) no holes or free electrons

70. If a solid sphere, disc and hollow cylinder are allowed to roll down an inclined plane
without slipping from the same height,

(A) the cylinder will reach the bottom first
(B) the disc will reach the bottom first
(C) the sphere will reach the bottom first
(D) all will reach the bottom at the same time

71. The phase difference between the displacement and acceleration of a particle
executing simple harmonic motion is

(A) Zero
π
(B)
2
(C) π
(D) 2 π

72. Work-Energy theorem is valid in the case of

(A) external forces only
(B) internal forces only
(C) conservation forces only
(D) all types of forces

73. Optical fibers for communication use are mostly fabricated from

(A) Plastic
(B) Silica or multicomponent glass
(C) Ceramics
(D) Copper

74. Which of the following is smallest unit?

(A) Millimetre
(B) Angstrom
(C) Fermi
(D) Micrometre

75. In a metallic conductor, electric current is generally due to the movement of

(A) Ions
(B) Phonons
(C) Electrons
(D) Protons

CHEMISTRY (UG) – SHIFT IV
(FINAL)

76. The most suitable coagulating agent for ferric hydroxide sol is

(A) potassium ferricyanide
(B) potassium chloride
(C) potassium oxalate
(D) potassium sulphate

77. The relation between Kp and Kc of a reversible reaction is
∆n
(A) Kc = Kp(RT)
∆n
(B) Kp = Kc(RT)

(C) Kc = Kp

(D) Kp = 1/Kc

78. Find out the WRONG statement.

(A) A non-volatile solute dissolved in water lowers vapor pressure
(B) A non-volatile solute dissolved in water raises boiling point
(C) A non-volatile solute dissolved in water raises density
(D) A non-volatile solute dissolved in water lowers osmotic pressure

79. The standard reduction potentials of three metallic ions X, Y, Z are 0.52 V, −3.03 V,
−1.18 V respectively. The order of reducing power of the corresponding metals is

(A) Y>Z>X
(B) X>Y>Z
(C) Z>Y>X
(D) Z>X>Y

80. For a monoatomic gas, the specific heat ratio is

(A) 0
(B) 1.40
(C) 1.67
(D) 1.33

−10
81. What is the solubility of AgCl in water if Ksp = 1.6 × 10 ?

−5
(A) 1.6 × 10
−10
(B) 3.2 × 10
−5
(C) 1.3 × 10
(D) 1.6 × 10−10

82. The half-life period of a first order reaction which takes 40 min for 30%
decomposition is

(A) 77.7 min
(B) 52.5 min
(C) 22.7 min
(D) 46.2 min

2−
83. How many coulombs of electricity is required to reduce 1 mole of Cr2O7 in acidic
medium?

(A) 4
(B) 6
(C) 2
(D) 1

84. van’t Hoff factor of 0.005M aqueous solution of KCl is 1.95. The degree of ionization is

(A) 0.94
(B) 0.96
(C) 0.95
(D) 0.59

−5
85. What is the degree of dissociation of 0.1 M acetic acid? (Ka = 10 )

(A) 10−3
(B) 10−2
(C) 10−1
(D) 1.0

86. In a zero-order reaction for every 10°C rise of temperature the rate is doubled. If the
temperature is increased from 10°C to 100°C the rate of the reaction will be

(A) 256 times
(B) 512 times
(C) 64 times
(D) 128 times

87. For a second-order reaction, what is the unit of the rate of the reaction?

(A) s−1

(B) mol L−1s−1

(C) mol−1 L s−1

(D) mol−2 L2 s−1

88. The role of a catalyst is to lower the

(A) Gibbs energy of reaction
(B) enthalpy of reaction
(C) activation energy of reaction
(D) equilibrium constant

2+ –
89. The equivalent conductance of Ba and Cl are respectively 127 and 76
−1 −1 −1
ohm cm eq
at infinite dilution. The equivalent conductance of BaCl2 at infinite dilution will be

(A) 139.5
(B) 203
(C) 279
(D) 101.5

2+ 2+
90. Consider the cell reaction Cd(s)| Cd (1.0 M) || Cu (1.0 M) | Cu(s). The voltage can
be lowered by
2+ 2+
(A) increasing the concentration of Cd and Cu
2+
(B) increasing only the concentration of Cd to 2.0 M
2+
(C) increasing only the concentration of Cu to 2.0 M
(D) increasing the concentration of Cd2+ 2.0 M and decreasing the concentration of
2+
Cu 0.1 M

91. The value for Henry’s constant for helium, hydrogen, nitrogen and oxygen at 293 K
are 144.97 kbar, 69.16 kbar, 76.48 kbar and 34.86 kbar respectively. Which of the gas
will be having maximum solubility?

(A) Hydrogen
(B) Oxygen
(C) Helium
(D) Nitrogen

92. Calculate the osmotic pressure associated with 50.0 g of an enzyme of molecular
weight 98,000 g/mol dissolved in water to give 2600 mL of solution at 30.0°C.

(A) 3.71 torr
(B) 1.68 torr
(C) 1.96 torr
(D) 2.48 torr

93. An azeotropic solution of two liquids has boiling point lower than either when it

(A) shows a negative deviation from Raoult's law
(B) shows no deviation from Raoult's law
(C) shows positive deviation from Raoult's law
(D) is saturated

94. The density of a metal which crystallises in bcc lattice with unit cell edge length 300 pm
−1
and molar mass 50 g mol will be

(A) 10 g cm−3

(B) 14.2 g cm−3

(C) 6.15 g cm−3

(D) 9.32 g cm−3

95. Fe3O4 (magnetite) is an example of

(A) normal spinel structure
(B) inverse spinel structure
(C) fluorite structure
(D) antifluorite structure

96. Which among the following is an example for Diels-Alder reaction?

(A) Reaction of benzene with acetyl chloride in the presence of anhydrous AlCl3 to
give acetophenone
(B) Reaction between 1,3-butadiene and ethene to give cyclohexene
(C) Anhydrous AlCl3 catalyzed rearrangement of phenyl acetate to give a mixture
of 2- and 4-hydroxyacetophenones
(D) Acid catalyzed rearrangement of 1,2-diols to give ketones

97. Pick the statement that is TRUE for E2 eliminations.

(A) Follows unimolecular kinetics
(B) Follows bimolecular kinetics
(C) Involves free radical intermediates
(D) It is catalyzed by weak acids

98. Which among the following pigments is predominantly present in photosystem II of
land plants?

(A) Chlorophyll a
(B) Chlorophyll b
(C) β-carotene
(D) Xanthophyll

99. Which among following compounds, fails to undergo Cannizzaro reaction?

(A) Benzaldehyde
(B) Trichloroacetaldehyde
(C) 2,2-dimethylpropanal
(D) Formaldehyde

100. Which among the following natural amino acids is achiral?

(A) Threonine
(B) Tyrosine
(C) Alanine
(D) Glycine

101. β-D-Glucose is represented as:

OH

(A) O
OH
HO
HO
OH

OH OH

(B) O
OH
HO
OH

OH
OH
O
(C) HO
HO

OH
OH

O
(D) HO
HO

OH
OH

102. Atropisomerism in stereoisomerism originating due to

(A) restricted rotation around a single bond
(B) four groups attached to carbon are different
(C) helical nature of polymers
(D) sheet like geometry of polymers

103. Choose the weakest base among the following

(A) 4-chloroaniline
(B) 4-methylaniline
(C) 4-methoxyaniline
(D) 4-nitroaniline

104. Mono nitration of which among the following compounds is expected to yield the
corresponding meta nitro derivative as the major product?

(A) C6H5-CH3
(B) C6H5-CH2Cl
(C) C6H5-CHCl2
(D) C6H5-CCl3

105. Methyl isocyanate (CH3−N=C=O), the chemical responsible for Bhopal gas tragedy is
an intermediate involved in

(A) reaction between methylamine and carbon dioxide
(B) reaction of acetamide (CH3CONH2) with Br2 in presence of NaOH
(C) reaction between methylamine and formaldehyde
(D) reaction of ammonium formate (HCO2NH4) with methanol

106. Free radical intermediates are involved in

(A) Hydroboration-oxidation of propene to give propan-1-ol
(B) Hunsdiecker Reaction
(C) Hell Volhard Zelinsky Reaction
(D) Chlorination of benzene in the presence of Cl2 and a halogen carrier

107. Styrene-butadiene rubber finds application in

(A) Styrofoam
(B) Bubble gums
(C) Flame retardant coatings
(D) High-performance elastomer for space application

108. Which among the following is an example of Sandmeyer reaction?

CuCl/HCl
(A) C6H5N2+Cl- C6H5Cl
H2O/∆
(B) C6H5N2+Cl- C6H5OH
HBF4
(C) C6H5N2+Cl- C6 H 5F
KI/warm
(D) C6H5N2+Cl- C 6H 5 I

109. 2-Hydroxybenzaldehyde can be prepared by treating Phenol with

(A) Formaldehyde in the presence of anhydrous aluminium chloride
(B) Carbon dioxide under pressure in sodium hydroxide solution
(C) Chloroform and concentrated sodium hydroxide
(D) Carbon monoxide and 5N HCl

110. The reaction between sodium alkoxide and alkyl halide to give the corresponding
ether is called

(A) Wurtz reaction
(B) Kolbe’s reaction
(C) Williamson’s synthesis
(D) Zeisel reaction

111. Benzene diazonium chloride on treatment with phenol in the presence of NaOH gives

(A) diphenyl ether
(B) 4-hydroxybiphenyl
(C) an azo dye
(D) polyaniline, a conducting polymer

112. Among vitamins A, C, and E, which is/are considered as dietary antioxidant/s?

(A) Vitamin C only
(B) Vitamins A and C only
(C) Vitamins C and E only
(D) Vitamins A, C and E

113. The chemical reaction between aldehydes and Borche’s reagent
(2,4-dinitrophenylhydrazine) to give an orange coloured
precipitate is an example of

(A) Condensation reaction
(B) Addition reaction
(C) Substitution reaction
(D) Polymerization reaction

114. Formation of phenol-formaldehyde resin involves the reaction between

(A) three equivalents of formaldehyde with one equivalent of phenol
(B) one equivalent of formaldehyde with three equivalents of phenol
(C) one equivalent of formaldehyde with one equivalent of phenol
(D) six equivalents of formaldehyde with one equivalent of phenol

115. Which among the following food additives is effective in controlling rancidity of
unsaturated edible oils?

(A) Butylated hydroxytoluene (BHT)
(B) Monosodium glutamate (MSG)
(C) Sodium nitrate
(D) Caramel

116. If the magnetic moment of a dioxygen species is 1.73 B.M, it may be
− +
(A) O2 or O2
+
(B) O2 or O2
−
(C) O2 or O2
(D) O2, O2− or O2+

117. Which of the following has highest solubility in water?

(A) KF
(B) LiF
(C) NaF
(D) RbF

118. The decreasing order of catenation is

(A) C > Sn > Si > Ge
(B) C > Si > Ge > Sn
(C) Si > Sn > C > Ge
(D) Ge > Sn > Si > C

119. The electrolytes usually used in the electroplating of gold and silver, respectively are
− −
(A) [Au(CN)2] and [Ag(CN)2]
− −
(B) [Au(CN)2] and[Ag(Cl)2]
− −
(C) [Au(OH)4] and[Ag(OH)2]
(D) [Au(NH3)2]− and[Ag(CN)2]−

120. Trigonal bipyramidal geometry is shown by

(A) XeO2F2
(B) XeO3F2
(C) FXeOSO2F
(D) [XeF8]2−

121. Which of the following ions has the maximum magnetic moment?
2+
(A) Mn
2+
(B) Fe
2+
(C) Ti
2+
(D) Cr

122. The elements x, y and z are present in one period of the periodic table. Chemically
their oxides are acidic, amphoteric and basic respectively. Arrange the elements in
order of increasing atomic number.

(A) x, y, z
(B) z, y, x
(C) y, z, x
(D) y, x, z

123. Which of the following has the least bond angles?

(A) NH3
(B) PH3
(C) AsH3
(D) SbH3

124. The WRONG statement among the following is

(A) Nitrogen atom and nitride ion have same atomic number
(B) Aluminium atom and its ion have same mass number
(C) Iron atom and ferrous ion have same electron configuration
(D) Nuclear charge is same in both chlorine atom, chloride ion

125. A double bond resulting in O2 molecule is from

(A) two bonding electrons
(B) four π-bonding electrons
(C) two π-bonding and two π-anti bonding electrons
(D) two bonding, four π-bonding and two π-anti bonding electrons

126. According to VSEPR theory

(A) bp-bp > lp-bp > lp-lp
(B) bp-lp > bp-bp > lp-lp
(C) lp-lp > lp-bp > bp-bp
(D) lp-lp < lp-bp < bp-bp
where bp is bond pair and lp is lone pair.

127. Which of the following is most stable in aqueous solution?
2+
(A) Mn
3+
(B) Cr
3+
(C) V
3+
(D) Ti

128. The complex that absorbs light of shortest wavelength is

(A) [CoF6]3−
+3
(B) [Co(H2O)6]
+3
(C) [Co(NH3)6]
(D) [Co(ox)3]3−
(ox = oxalate ion)

129. The characteristics of the blue solution of sodium in liquid ammonia is /are

(a) diamagnetic
(b) paramagnetic
(c) reducing in nature
(d) conducts electricity

(A) (a) only
(B) (b), (c) and (d) only
(C) (b) and (c) only
(D) (a), (c) and (d) only

130. In the manufacture of sulphuric acid by contact process Tyndall box is used to

(A) convert SO2 and SO3
(B) test the presence of dust particles
(C) filter dust particles
(D) remove impurities

5
131. Electronic configuration of a transition element X in +3 oxidation state is [Ar]3d .
What is its atomic number?

(A) 25
(B) 26
(C) 27
(D) 24

132. What is the weight of CuO, that will react with 2.6 L of hydrogen at NTP (molar mass
of CuO is 79.5 g)?

(A) 79.5 g
(B) 2.2 g
(C) 9.23 g
(D) 11.2 g

133. The third line of Balmer series in the emission spectrum of hydrogen atom is due to
the transition from

(A) fifth Bohr orbit to the second Bohr orbit
(B) fourth Bohr orbit to the first Bohr orbit
(C) sixth Bohr orbit to the third Bohr orbit
(D) eight Bohr orbit to the fourth Bohr orbit

134. How many orbitals have the values n = 4, l = 2 and ml = −2?

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

135. For a complex, the order of energy of d orbitals, d 2 = d 2 > d xy = d xz = d yz . The
z x -y2
complex has

(A) octahedral structure
(B) square planar structure
(C) tetrahedral structure
(D) square pyramidal structure

MATHEMATICS UG
SHIFT IV - (FINAL)

136. If A is a matrix of order 3, then det (kA) is
3
(A) k det (A)
(B) 3 det (A)
(C) det (A)
(D) 3k det (A)

 λ −1 0 
137. If the rank of the matrix  0 λ −1 is 2, then λ is
 −1 0 λ 
 

(A) 2
(B) 3
(C) 1
(D) any real number

 1 8 n3 
138. The value of lim  + + ... + 4
is
n→∞ 1 − n 4 1 − n 4 1 − n 
 

1
(A)
4
1
(B)
8
1
(C)
2
−1
(D)
4

139. If A is a square matrix of order n, then | adj A | is

2
(A) A
n
(B) A
n−1
(C) A

(D) A

n n n
140. If   ,   and   are in Arithmetic progression, then the value of n can be
 4 5 6

(A) 6
(B) 7
(C) 8
(D) 9

 x 2 ; 0 < x < 2 f (11) − f (−11)
141. Given f ( x) =  and f ( x + 5) = f ( x) for all x. Then =
 x + 2; 2 ≤ x ≤ 5 f (11) + f (−11)

−5
(A)
7
−7
(B)
5
7
(C)
5
15
(D)
7

142. Sum of the series S = 12 − 22 + 32 − 42 = ... − 20082 + 20092 is

(A) 2019045
(B) 1005004
(C) 2000506
(D) 2026042

143. If log 4 log3 log 2 x   = 1 , then x is

(A) 264
(B) 9
(C) 24
(D) 281

144. Let ' f ' and ' g ' be two bijective functions defined on a set A and such that
f ( x) = 2 x + 1 and ( g f ) ( x) = 3 x + 2 . Then g ( x) is

3 5
(A) x−
2 2
3 1
(B) x+
2 2
3
(C) 2x −
2
(D) 5x + 3

145. If in a triangle ABC, tan A + tan B + tan C = 3 3 , then the triangle is

(A) right-angled but not isosceles
(B) right-angled and isosceles
(C) equilateral
(D) isosceles but not right-angled

146. If a = 2, b = 5 and a × b = 8 then a . b is equal to

(A) 4
(B) 6
(C) 5
(D) 8

147. The difference of a whole number consisting of two digits from the number formed by
inter changing the digits is always divisible by

(A) 11
(B) 10
(C) 9
(D) 6

148. Let f : ℝ → ℝ be any function. Define g : ℝ → ℝ by g ( x) = f ( x) for all x. Then
which of following is true?
(A) g is 1 − 1 if f is 1 − 1
(B) g may be bounded even if f is unbounded
(C) g is continuous if f is continuous
(D) g is differentiable if f is differentiable

dy
149. If e x + y = x y , then is
dx

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

2
e x − cos x
150. The value of lim is equal to
x→0 x2

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

151. limπ (cos x)cos x is
x→
2

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

152. Let a1, a2 ,...a10 be in Arithmetic Progression and h1, h2 ,..., h10 be in harmonic
Progression. If a1 = h1 = 2 and a10 = h10 = 3 then a4 h7 is

(A) 2
(B) 3
(C) 5
(D) 6

153. Let g ( x) be a function satisfying g '( x) = g ( x) with g (0) = 1 and f ( x) be a function
1
that satisfies f ( x) + g ( x) = x . Then the value of the integral ∫ f ( x) g ( x) dx is
2
0

e−7
(A)
4
e−3
(B)
2
e2 + 3
(C) e−
2
e2 + 3
(D) e+
2

154. The locus of the point of intersection of the lines x sin θ + (1 − cos θ ) y = a sin θ and
x sin θ − (1 + cos θ ) y + a sin θ = 0 is

(A) x2 − y 2 = a2
(B) x2 + y2 = a2
(C) y 2 = ax
(D) y 2 − x 2 = a3

e2 2
1 ex
155. If I1 = ∫ dx and I 2 = ∫ dx , then
e log x 1 x

(A) I1 = 2 I 2
(B) 2I1 = I 2
(C) I1 + I 2 = 0
(D) I1 − I 2 = 0

156. The equation of a common tangent to the curves y 2 = 8 x and xy = −1 is

(A) 3 y = 9x + 2
(B) y = 2x + 1
(C) 2y = x +8
(D) y = x+2

3
157. If f ( x) = A ⋅ 2 x + B and such that f '( x) = 2 and ∫ f ( x) dx = 7 , then B is
0

2
 1 
(A) 1 −  
 log e 2 
7
1 − ( log 2 e ) 
2
(B)  
3
7
1 + ( log 2 e ) 
2
(C)
3  

7
(D) 1 − ( log 2 e ) 
3 

 x 3 2
 
158. Let AT be the transpose of A. If A =  −3 y −7  and A = − AT then x + y is equal to
 −2 7 0 
 

(A) 2
(B) −1
(C) 0
(D) 12

1 1
dy
159. If = x + ∫ y ( x) dx, y (0) = 1, then ∫ xy ( x)dx is
dx 0 0

13
(A)
36
19
(B)
48
7
(C)
36
101
(D)
72

160. The graph of f ( x) = 4 − ( x − 2)2 is

(A)

(B)

(C)

(D)

∞
dx
161. If ∫ = kπ then the value of k is
( 22
0 x +4 x +9 )( )
1
(A)
60
1
(B)
80
1
(C)
40
1
(D)
20

 sin 5 x
 , x≠0
162. The value of the k which makes f ( x) =  x continuous at x = 0 is
k , x=0

(A) 1
(B) 2
(C) 5
(D) 6

163. The number of words that can be formed by using the letters of the word
MATHEMATICS that start as well as end with T is

(A) 80720
(B) 90720
(C) 20860
(D) 37258

164. Two finite sets have m and n elements respectively. The total number of subsets of
first set is 56 more than the total number of subsets of the second set. The values of m
and n respectively are

(A) 7, 6
(B) 6, 3
(C) 5, 1
(D) 8, 7

3
165. If the acute angle between the lines x + ky + 3 = 0 and 2 x + y − 7 = 0 is tan −1   ,
4
then ‘ k ’ is

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

166. Let f ( x) = 4
(
log 1 + x 2 )
. Then
x − 26 x 2 + 25

(A) f is continuous on [6, 10]
(B) f is continuous on [−2, 2]
(C) f is continuous on [−6, 6]
(D) f is continuous on [1, 7]

z − 5i
167. The complex number z = x + iy which satisfy the equation = 1 lie on
z + 5i

(A) the x-axis
(B) the straight line y = 5
(C) a circle passing through the origin
(D) the line x = y

168. If the points (2a, a), (a, 2a) and (a, a) enclose a triangle of area 72, then the
coordinates of the centroid of the triangle is

(A) (16, 16)
(B) (4, 4)
(C) (12, 12)
(D) (−4, −4)

169. The value of k for which the points A = (1, 0, 3), B = (−1, 3, 4), C = (1, 2, 1) and
D = (k, 2, 5) are coplanar is

(A) 1
(B) 2
(C) 0
(D) −1

170. If the line y = 3 x + λ touches the hyperbola 9 x2 − 5 y2 = 45 , then the value of λ 2 is

(A) 45
(B) 36
(C) 6
(D) 15

1 1 1 1
171. The number of real solutions of + = + is
x +1 x + 5 x + 2 x + 4

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

172. If the points P(h, k) and Q(k, h) lie on 3x + 2y − 13 = 0 and 4x − y − 5 = 0
respectively, then the equation of PQ is

(A) x− y =6
(B) x+ y =5
(C) x− y+5= 0
(D) 2x + 2 y = 5

173. A fair coin is tossed 100 times. The probability of getting tails an odd number of
times is

1
(A)
2
1
(B)
8
3
(C)
8
(D) None of the above

174. The equation of the directrix of the parabola 4 y 2 + 12 x − 12 y + 39 = 0 is

7
(A) x=−
4
3
(B) y=
4
(C) x − y = 0
(D) 2x − 3y = 0

175. Consider an infinite geometric series with the first term a and the common ratio r < 1.
3
If its sum is 4 and the second term is , then
4

4 3
(A) a= ,r=
7 7
3
(B) a = 2, r =
8
3 1
(C) a= ,r=
2 2
1
(D) a = 3, r =
4

176. The projection of a on b is twice the projection of b on a if

(A) a =b
(B) a =b

(C) a−b =b

(D) a−b =a

177. A line which is parallel to the x-axis and crosses the curve y = x at an angle of 45° is

1
(A) x=
4
1
(B) y=
4
1
(C) y=
2
(D) y =1

178. A function, which is differentiable everywhere, is

(A) f ( x) = x

1
(B) f ( x) =
x
(C) f ( x) = ( x + 3) 4
(D) f ( x) = ln x

179. The equation of the horizontal tangent to the graph of the function y = e x + e− x is

(A) y = −2
(B) y = −1
(C) y=2
(D) y =1

180. The differential equation of all circles passing through the origin and having their
centres on the x-axis is

dy
(A) x 2 = y 2 + xy
dx
dy
(B) x 2 = y 2 + 3 xy
dx
dy
(C) y 2 = x 2 + 2 xy
dx
dy
(D) y 2 = x 2 − 2 xy
dx

181. If a line OP through the origin O makes angles α , 45° and 60° with x, y and z axis
respectively, then the direction cosines of OP are

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

182. The orthocentre of the triangle formed by the lines xy = 0 and 2x + 3y − 5 = 0 is

(A) (2, 3)
(B) (3, 2)
(C) (0, 0)
(D) (5,−5)

183. ( ) ( ) ( )
Let a = i + j + k ; b = i − j + 2k and c = xi + ( x − 2) j − k . If the vector c lies

in the plane of a and b , then x equals to

(A) 0
(B) 1
(C) −4
(D) −2

80
184. (
The number of times the function y = x 2 + 1 ) is to be differentiated in order to get a
polynomial of degree 50 is

(A) 70
(B) 80
(C) 110
(D) 30

185. If the centroid of the triangle with vertices (3c + 2, 2, 0), (2c, –1, –1) and
(c + 2, 3c + 1, c + 3) lies in the plane z = c, then the coordinates of the centroid are

 2 1 1
(A) − ,− , 
 3 3 3

 10 5 
(B)  , ,1
 3 3 

4 2 2
(C)  , , 
3 3 3

 2 1 1
(D)  , ,− 
 3 3 3

186. Three numbers are chosen at random without replacement from {1, 2, ..., 10}. The
probability that minimum of the chosen number is 3 or their maximum is 7 is

11
(A)
30
11
(B)
40
1
(C)
7
1
(D)
8

187. The length of the perpendicular drawn from the point (3, −1, 11) to the line
x y − 2 z −3
= = is
2 3 4

(A) 29
(B) 33
(C) 53
(D) 66

188. If f ( x + y ) = f ( xy ) for all x, y ∈ ℝ and f (2003) = 2003 , then f (−2003) equals

(A) 2003
(B) 0
(C) −2003
(D) 4006

189. The three numbers are chosen from 1 to 30. Then the probability that they are not
consecutive is

142
(A)
145
144
(B)
145
143
(C)
145
1
(D)
145

x
190. Let f ( x) = lim . Then f is discontinuous at
n→∞ 1 + (2sin x ) 2 n

(A) π
π
(B)
3
π
(C)
4
π
(D)
6

191. The probability of drawing a diamond card in each of the two consecutive draws from
a well shuffled pack of cards, if the card drawn is not replaced after the first draw, is

4
(A)
17
13
(B)
17
1
(C)
17
(D) 0

x+ y x x
192. If x = −2 and ∆ = 5 x + 4 y 4 x 2 x , then the numerical value of ∆ is equal to
10 x + 8 y 8 x 3x

(A) 8
(B) −8
(C) 4
(D) −4

2
193. If A and B are independent events of a random experiment such that P ( B ) = and
7
P ( A ∪ B ) = 0.8 , then P ( A) is equal to

(A) 0.1
(B) 0.2
(C) 0.4
(D) 0.3

194. The interior angles of a polygon are in Arithmetic Progression. If the smallest angle is
100° and the common difference is 4°, then the number of sides is

(A) 5
(B) 7
(C) 36
(D) 44

195. A problem in Mathematics is given to three students A, B, C and their respective
probability of solving the problem are
1 , 1 , 1 . Then the probability that the problem
2 3 4
is solved is

(A)
3
4
2
(B)
3

(C)
1
2
(D)
1
4

196. The locus of the centre of a circle which touches the circle z − z1 = a externally is

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

f ( x)
197. Let f ( x) be a function satisfying f '( x) = f ( x) and f(0) = 2. Then ∫ dx is
3 + 4 f ( x)
equal to

1
(A) log ( 3 + 8e x ) + C
4
1
(B) log ( 3 + 5e x ) + C
2
1
(C)
4
(
log 3 + 4e2 x + C )
1
(D) C+ log ( xe )
2 x3

198. Equation of the directrix of the parabola y 2 + 4 y + 4 x + 2 = 0 is

(A) x = −1
(B) x =1
−3
(C) x=
2
3
(D) x=
2

x
x2 π
199. If ∫ t f (t ) dt = sin x − x cos x − for all x ∈ R − {0} , then the value of f   is
e 2 6

(A) 0
(B) 1
1
(C) −
2
3
(D)
2

1 1 1 π 1 1 1
200. If 1 − + − + ... = then the value of + + + ... is
3 5 7 4 1.3 5.7 9.11

π
(A)
8
π
(B)
6
π
(C)
4
π
(D)
34

1 1 1 1
201. The sum lim S n if S n = + + + ... + is
n→∞ 2n 4n 2 − 1 4n 2 − 4 3n 2 + 2n − 1

π
(A)
2
(B) 2
(C) 1
π
(D)
6

101
202. If a + ib = ∑ i k , then (a, b) =
k =1

(A) (0, 1)
(B) (0, 0)
(C) (0, −1)
(D) (1, 1)

sin 2 A 1 + cos A sin A
203. The value of 1 − + − , is
1 + cos A sin A 1 − cos A

(A) cos A
(B) 0
(C) 1
(D) sin A

n
 1+ i 
204. If   = −1, n ∈ N , then the least value of n is
 1− i 

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

x tan 2 x − 2 x tan x
205. The value of lim is
x→0 (1 − cos 2 x) 2

(A) 2
(B) −2
1
(C)
2
−1
(D)
2

206. If z − 1 = z − 2i = z + 1 , then the value of z is

(A) 1
(B) 2
5
(C)
4
3
(D)
4

α
207. Let α , β be roots of the equation x 2 − px + r = 0 and , 2 β be the roots of the
2
equation x 2 − qx + r = 0. Then the value of r is

2
(A) ( p − q )(2q − p )
9
2
(B) (q − p )(2 p − q )
9
2
(C) (q − 2 p )(2q − p )
9
2
(D) (2 p − q )(2q − p )
9

z − 5i
208. The complex numbers z = x + iy which satisfy the equation = 1, lie on
z + 5i

(A) the x-axis
(B) the straight line y = 5
(C) a circle passing through origin
(D) Re( z ) > 3

dy
209. A solution of the equation x = y (log y − log x + 1) is
dx

(A) y = xecx

y2
(B) = cx
x
(C) y 2 = cx log x
(D) log y = cx

2 + 3i sin θ
210. A value of θ for which z = is purely imaginary, is
1 − 2i sin θ

π
(A)
3
π
(B)
6
 3
(C) sin −1  
 4 
 1 
(D) sin −1  
 3

1 n
211. The number of complex numbers z such that z < and ∑ ar z r = 1
3 r =1
where ar < 2 is

(A) 0
(B) 1
(C) 4
(D) infinite

x− 1 x+ 1
212. If 4 x − 3 2 = 3 2 − 22 x −1 , then value of x is

5
(A)
2
(B) 2
3
(C)
2
(D) 4 7

213. If A = {4n − 3n − 1: n ∈ ℕ} and B = {9n − 9, n ∈ ℕ} then A ∪ B is equal to

(A) B
(B) A
(C) ℕ
(D) A ∩ B

214. The least value of cosec 2 x + 25sec 2 x is

(A) 26
(B) 28
(C) 36
(D) 0

2
215. Let S: If a number n is even, then n is even.
Then the converse of S is
2
(A) if a number n is even, then n is even
2
(B) neither n nor n is even
2
(C) if n is not even, then n is not even
2
(D) if a number n is not even, then n is even

216. The number of integral solutions of x 2 + y 2 = x 2 y 2 is

(A) 0
(B) 1
(C) infinite
(D) None of the above

 x if ( x) is rational
217. Let f be defined on [−5, 5] as f ( x) =  . Then
− x if ( x) is irrational

(A) f ( x) is continuous at every x, except x = 0
(B) f ( x) is discontinuous at every x, except x = 0
(C) f ( x) is continuous everywhere
(D) f ( x) is discontinuous everywhere

218. The order of −3 in the group ( Z , + ) is

(A) 3
(B) 0
(C) 1
(D) ∞

219. If y = a log x + bx 2 + x has its extreme values at x = 1 and x = 2, then the values of
‘a’ and ‘b’ are

2 1
(A) a=− , b=−
3 6
1 4
(B) a=− ,b=
6 3
4 1
(C) a=− ,b=
3 6
4 1
(D) a= ,b=−
3 6

220. If a, b, c are in Arithmetic Progression, p, q, r are in Harmonic Progression and
p r
ap, bq, cr are in Geometric Progression, then + is equal to
r p

a c
(A) +
c a
a c
(B) −
c a
b q
(C) +
q b
b a
(D) −
q p

221. The differential equation of the family of circles with fixed radius 5 units and center
on the line y = 2 is

(A) ( x − 2)( y ')2 = 25 − ( y − 2) 2
(B) ( y − 2)( y ')2 = 25 − ( y − 2) 2
(C) ( y − 2)2 ( y ')2 = 25 − ( y − 2) 2
(D) ( x − 2)2 ( y ')2 = 25 − ( y − 2) 2

222. The angles of elevation of the top of a tower from the top and bottom of a building
100 meters tall are 30° and 45°. The height of the tower is

(A) 100 3 meters
(B) ( )
50 3 + 3 meters

(C) 50 ( 3 + 1) meters

(D) 100 ( 3 + 1) meters

223. If z = 3, the area of the triangle whose sides are z , ω z and z + ω z (here ω is a
complex cube root of unity) is

9 3
(A)
4
3 3
(B)
2
5
(C)
2
8 3
(D)
3

224. { } { }
Let X = x : x = n3 + 2n + 1, n ∈ ℝ and Y = x : x = 3n 2 + 7, n ∈ ℝ . Then X ∩ Y is a
subset of

(A) X = { x : x = 3n + 5, n ∈ ℕ}

(B) {
X = x : x = n 2 + n + 1, n ∈ ℕ }
(C) X = { x : x = 7n − 1, n ∈ ℕ}
(D) None of the above

225. If z1, z2 , z3 are the vertices of an isosceles triangle, right angled at the vertex z2 , then
2 2
value of ( z1 − z2 ) + ( z2 − z3 ) is

(A) −1
(B) 0
2
(C) ( z1 − z3 )
(D) 1

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

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