Page 1
1. An electron and a proton are associated with the same de Broglie wavelength. Then
the ratio of their kinetic energy is
(A) 1: 1836
2
(B) 1:
1836
(C) 1: 1836
1
(D) 1:
1836
2. The energy of hydrogen atom in the nth orbit is En, then the energy in the nth orbit of
single ionised helium atom is
En
(A)
2
(B) 2 En
(C) 4 En
En
(D)
4
3. In forward bias the width of depletion layer
(A) decreases with increase in V
(B) increases with increase in V
(C) independent of V
(D) is zero
4. The heat of 70 calories is required to raise the temperature of 2 mole of an ideal gas at
constant pressure from 30°C to 35°C. The amount of heat needed to raise the
temperature of the same gas through the same range at constant volume is
(A) 30 cal
(B) 40 cal
(C) 45 cal
(D) 50 cal
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5. The radii of curvature of a double convex lens are 15 cm and 30 cm and its refractive
index is 1.5 then its focal length is
(A) 20 cm
(B) 30 cm
(C) 15 cm
(D) 12 cm
6. A man weighing 70 kg carries a 30 kg box to the top of the building of height 20 m.
Then the work done by the man is
(A) 980 J
(B) 19600 J
(C) 7840 J
(D) 20000 J
7. In a Young’s double slit experiment, 12 fringes are observed to be formed in a certain
segment of the screen, when light of wavelength 600 nm is used. If the wavelength of
the light is changed to 400 nm, the number of fringes observed in the same segment of
the screen is given by
(A) 12
(B) 18
(C) 24
(D) 30
8. A U tube contains water and spirit separated by mercury. The mercury columns in the
two arms are in level with 10 cm of water in one arm and 12.5 cm of spirit in the
other. Then the relative density of the spirit is
(A) 0.8
(B) 0.9
(C) 1
(D) 1.12
9. Coefficient of linear expansion of brass and steel rods are α1 and α2. Lengths of brass
and steel rods are l1 and l2 respectively. If (l2 – l1) is maintained same at all
temperatures, which one of the following relations holds good?
(A) =
(B) =
(C) =
(D) =
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10. When a system is taken from state i to state f along the path iaf, it is found that
Q = 50 cal and W = 20 cal. Along the path ibf, if Q = 36 cal, work done along
the path ibf is
a f
i b
(A) 16 cal
(B) 66 cal
(C) 14 cal
(D) 6 cal
11. If the mass of a gas molecule be m, then the root mean square speed of the gas
molecule at temperature T will be
3kT
(A)
m
2kT
(B)
m
8kT
(C)
mπ
m
(D)
3kT
12. When a vibrating tuning fork is placed vertically on a table, then the vibrations in the
table board will be
(A) free vibrations
(B) forced vibrations
(C) resonant vibrations
(D) maintained vibrations
13. When sound waves travel in any gaseous medium then at any point of the medium,
process is
(A) isothermal
(B) isobaric
(C) adiabatic
(D) isochoric
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14. The slope of the time-speed graph gives
(A) velocity of the body
(B) distance travelled by the body
(C) acceleration of the body
(D) direction of motion
15. An electric field = 25 ̂ + 30 ̂ N/C exists in a region of space. If the potential at the
origin is taken to be zero, then the potential at x = 2 m, y = 2 m is
(A) −110 V
(B) −140 V
(C) −120 V
(D) −130 V
16. The value of the current I in the circuit is
I A
30Ω
2V
30Ω
B 30Ω C
(A) 0.1 A
(B) 1A
(C) 2A
(D) 0.3 A
17. In a potentiometer arrangement, a cell of emf 1.5 V gives a balance point at 27 cm
length of wire. If the cell is replaced by another cell and balance point shifts to 54 cm,
the emf of the second cell is
(A) 3V
(B) 1.5 V
(C) 0.75 V
(D) 2.25 V
18. The specific resistance of a conductor increases with
(A) increase in temperature
(B) increase in cross sectional area
(C) decrease in length
(D) decrease in cross sectional area
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19. For a monoatomic gas, the adiabatic relation between pressure P and volume V is
(A) PV = constant
5
(B)
PV 3 = constant
7
(C)
PV 5 = constant
2
(D)
PV 3 = constant
20. A charged particle is moving along a magnetic field line. The magnetic force on the
particle is
(A) along its velocity
(B) opposite to its velocity
(C) perpendicular to its velocity
(D) zero
21. The given combination of logic gates represents the following gate
(A) OR
(B) XOR
(C) NAND
(D) NOR
22. The Kα line from molybdenum (atomic number = 42) has a wavelength of 0.7078Å.
The wavelength of Kα line of zinc (atomic number = 30 ) will be
(A) 1Å
(B) 1.3872 Å
(C) 0.3541 Å
(D) 0.5 Å
Page 6
23. According to uncertainty principle for an electron, time measurement will become
uncertain if …………….. is measured with high certainty.
(A) Energy
(B) Position
(C) Momentum
(D) Velocity
24. How much work is required to carry a 6 µC charge from the negative to the positive
terminal of a 9 V battery?
(A) 54 × 10−3 J
(B) 54 × 10−6 J
(C) 54 × 10−9 J
(D) 54 × 10−12 J
25. The ratio of resolving powers of an optical microscope for two wavelengths
λ1 = 4000 Å and λ2 = 6000 Å is
(A) 8 : 27
(B) 9:4
(C) 3:2
(D) 16 : 81
26. The core of transformer is laminated to
(A) prevent it from moisture
(B) prevent it from noise
(C) prevent it from heat
(D) reduce the loss of energy
27. The density of a material in the shape of a cube is determined by measuring three
sides of the cube and its mass. If the relative errors in measuring the mass and length
are respectively 1.5% and 1%, the maximum error in determining the density is
(A) 2.5%
(B) 3.5%
(C) 4.5%
(D) 6%
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28. Given S = a + bt + ct2, if S is measured in metres and t in seconds. The unit of c is
(A) m2s
(B) m
(C) ms−1
(D) ms−2
29. Two cars A and B move in the same direction with velocities VA = 20 i m/s and
VB = 15 i m/s. Then the relative velocity of A with respect to B is
(A) 35 i m/s
(B) 5 i m/s
(C) 35 j m/s
(D) 5 j m/s
30. Two points are located at a distance of 10 m and 15 m from the source of oscillation.
The period of oscillation is 0.05 s and the velocity of the wave is 300 m/s. What is the
phase difference between the oscillations of two points?
(A) π
π
(B)
6
π
(C)
3
2π
(D)
3
31. A particle moves in xy-plane with coordinates given by x = a sin ωt and y = a cos ωt.
The particle follows
(A) an elliptical path
(B) a circular path
(C) a parabolic path
(D) a straight-line path inclined equally to x and y-axis
Page 8
32. The resistance of a wire is R. It is bent at the middle by 180° and both the ends are
twisted together to make a shorter wire. Then the resistance of the new wire is
(A) 2 R
R
(B)
2
R
(C)
4
R
(D)
8
33. The maximum power dissipated in an external resistance R,, when connected to a cell
of emf E and internal resistance r will be
E2
(A)
r
E2
(B)
2r
E2
(C)
3r
E2
(D)
4r
34. What is the magnetic energy stored in the coil of the circuit below?
(A) Zero
(B) Infinite
(C) 25 J
(D) 50 J
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35. A circular coil carrying a certain current produces a magnetic field Bo at its centre.
The coil is now rewound so as to have 3 turns and the same current is passed through
it. The new magnetic field at the centre is
(A) 3 Bo
Bo
(B)
3
(C) 9 Bo
Bo
(D)
9
36. An electron makes a transition from orbit n = 4 to orbit n = 2 of a hydrogen atom. The
wave number of the emitted radiation is (R = Rydberg constant)
16
(A)
3R
3R
(B)
16
2R
(C)
16
4R
(D)
16
37. A radioactive nucleus undergoes a series of decay process represented by the scheme
below:
A ( α − decay) → A1 ( β − decay) → A2 ( α − decay) → A3 ( γ − decay) → A4
If the mass number and atomic number of A are 180 and 72 respectively, then what
are these numbers for A4 ?
(A) 172 and 69
(B) 174 and 70
(C) 176 and 69
(D) 176 and 70
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38. Hydrogen atom is excited from ground state to another state with principal quantum
number equal to 4. Then the number of spectral lines in the emission spectra will be
(A) 2
(B) 3
(C) 5
(D) 6
39. In any fission process, ratio of mass of daughter nucleus to mass of parent nucleus is
(A) less than 1
(B) greater than1
(C) equal to 1
(D) depends on the mass of parent nucleus
40. A screw gauge gives the following readings when used to measure the diameter of a
wire.
Main scale reading : 0 mm, Circular scale reading : 52 divisions
Given that, 1 mm on main scale corresponds to 100 divisions on the circular scale.
The diameter of the wire from the above data is
(A) 0.52 cm
(B) 0.026 cm
(C) 0.26 cm
(D) 0.052 cm
41. A train of 150 m length is going towards North direction at a speed of 10 m/s. A
parrot flies at the speed of 5 m/s towards South direction parallel to the railways track.
The time taken by the parrot to cross the train is
(A) 12 s
(B) 8s
(C) 15 s
(D) 10 s
42. A person standing on the floor of an elevator drops a coin. The coin reaches the floor
in time t1 if the elevator is at rest and in time t2 if the elevator is moving uniformly.
Then which of the following option is correct?
(A) t1 < t2 or t1 > t2 depending upon whether the lift is going up or down
(B) t1 < t2
(C) t1 > t2
(D) t1 = t2
Page 11
43. When a block of mass M is suspended by a long wire of length L, the length of the
wire becomes (L + l). The elastic potential energy stored in the extended wire is
(A) MgL
1
(B) Mgl
2
1
(C) MgL
2
(D) Mgl
44. A liquid does not wet the solid surface if angle of contact is
(A) equal to 45°
(B) equal to 60°
(C) greater than 90°
(D) zero
45. Three liquids of densities ρ1, ρ 2 and ρ3 (with ρ1 > ρ 2 > ρ3 ), having the same value
of surface tension T, rise to the same height in three identical capillaries. The angles
of contact θ1, θ 2 and θ3 obey
π
(A) > θ1 > θ 2 > θ3 ≥ 0
2
π
(B) 0 ≤ θ1 < θ 2 < θ3 <
2
π
(C) < θ1 < θ 2 < θ3 < π
2
π
(D) π > θ1 > θ 2 > θ3 >
2
46. A 4 µF capacitor is charged to 400 V and then its plates are joined through a
resistance of 1 kΩ. The heat produced in the resistance is
(A) 0.16 J
(B) 1.28 J
(C) 0.64 J
(D) 0.32 J
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47. The color code of a resistance is given below. The values of resistance and tolerance
respectively, are
(A) 47 kΩ, 10%
(B) 4.7 kΩ, 5%
(C) 470 Ω, 5%
(D) 470 kΩ, 5%
48. Light with an average flux of 20 W/cm2 falls on a non-reflecting
reflecting surface at normal
2
incidence having surface area 20 cm . The energy received by the surface during time
span of 1 minutes is
(A) 16 × 103 J
(B) 24 × 103 J
(C) 48 × 103 J
(D) 12 × 103 J
49. Out of the following options which one can be used to produce a propagating
electromagnetic wave?
(A) A stationary charge
(B) A chargeless particle
(C) An accelerating charge
(D) A charge moving at constant velocity
50. For which one of the following, Bohr model is not valid?
(A) Singly ionised helium atom (He+)
(B) Deuteron atom
(C) Singly ionised neon atom (Ne+)
(D) Hydrogen atom
51. The ratio of wavelengths of the last line of Balmer series and the last line of Lyman
series is
(A) 2
(B) 1
(C) 4
(D) 0.5
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52. A rod is measured to have a length of 5.6 cm using a ruler with the smallest division
of 0.1 cm. Calculate the percentage of error in the measurement.
(A) 1.79%
(B) 2.80%
(C) 0.79%
(D) 3.10%
53. A bicycle starts from rest and accelerates at 1.5 m/s2 for 4 seconds. Find the total
distance covered by the bicycle.
(A) 6m
(B) 8m
(C) 10 m
(D) 12 m
54. Which among the following forces is a contact force?
(A) Gravitational force
(B) Magnetic force
(C) Frictional force
(D) Electrostatic force
55. A body moves in a circular path with constant speed. Which of the following
statements is true?
(A) Work is done by centrifugal force
(B) Work done by the net force is zero
(C) Kinetic energy of the body changes
(D) Velocity of the body remains constant
56. A series of LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistance
R = 3 kΩ, an inductor of inductive reactance XL = 250 π Ω and an unknown capacitor.
The value of capacitance to maximize the average power should be ( take π2 = 10 )
(A) 400 µF
(B) 4 µF
(C) 40 µF
(D) 25 µF
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57. Which is the correct ascending order of wavelengths ?
(A) λvisible < λX-ray < λgamma-ray < λmicrowave
(B) λgamma-ray < λX-ray < λvisible < λmicrowave
(C) λX-ray < λgamma-ray < λvisible < λmicrowave
(D) λmicrowave< λvisible < λgamma-ray < λX-ray
58. Two coherent sources produce waves of different intensities which interfere. After
interference, the ratio of the maximum intensity to the minimum intensity is 16. The
intensity of waves is in the ratio
(A) 4:1
(B) 25 : 9
(C) 16 : 9
(D) 5:3
59. A hydrogen atom, initially in the ground state is excited by absorbing a photon of
wavelength 980 Å. The radius of the atom in the excited state, in terms of Bohr radius
a0, will be (hc = 12500 eV-Å)
(A) 9 a0
(B) 25 a0
(C) 4 a0
(D) 16 a0
60. The current voltage relation of diode is given by I = ( − 1) mA, where the
applied voltage V is in volts and the temperature T is in degree Kelvin. If a student
makes an error measuring ± 0.01 V while measuring the current of 5 mA at 300 K,
what will be the error in the value of current on mA ?
(A) 0.5 mA
(B) 0.05 mA
(C) 0.2 mA
(D) 0.02 mA
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61. Which one of the following will be the output of the given circuit ?
(A) NOR Gate
(B) NAND Gate
(C) AND Gate
(D) XOR Gate
62. Two identical thin metal plates has charge q1 and q2 respectively such that q1 ˃ q2. The
plates were brought close to each other to form a parallel plate capacitor of
capacitance C . The potential difference between them is
(q1 + q2 )
(A)
C
(q1 − q2 )
(B)
C
(q1 − q2 )
(C)
2C
2(q1 − q2 )
(D)
C
63. A cell of emf 90 V is connected across series combination of two resistors each of
100 Ω resistance. A voltmeter of resistance 400 Ω is used to measure the potential
difference across each resistor. The reading of the voltmeter will be
(A) 45 V
(B) 40 V
(C) 80 V
(D) 90 V
64. Ratio of thermal energy released in two resistor R and 3R connected in parallel in an
electric circuit is
(A) 3:1
(B) 1:1
(C) 1:3
(D) 1 : 27
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65. A moving coil galvanometer has a coil with 175 turns and area 1 cm2. It uses a torsion
band of torsion constant 10−6 N-m/rad. The coil is placed in a magnetic field B
parallel to its plane. The coil deflect by 1° for a current of 1 mA. The value of B (in
Tesla ) is approximately
(A) 10−3
(B) 10−1
(C) 10−4
(D) 10−2
66. An AC circuit has R = 100 Ω, C = 2 µF and L= 80 mH, connected in series. The
quality factor of the circuit is
(A) 0.5
(B) 2
(C) 20
(D) 400
67. A block of mass 5 kg is placed at rest and a table of rough surface. Now, if a force of
30 N is applied in the direction parallel to surface of the table, the block slides
through a distance of 50 m in an interval of time 10 s. Coefficient of kinetic friction is
( given, g = 10 ms−2 )
(A) 0.60
(B) 0.75
(C) 0.50
(D) 0.25
68. A body of mass 0.5 kg travels on straight line with path velocity v = ( 3x2 + 4 ) m/s.
The net work done by the force during its displacement from x = 0 to x = 2 m is
(A) 64 J
(B) 60 J
(C) 120 J
(D) 128 J
Page 17
69. A system consists of two identical spheres each of mass 1.5 kg and radius 50 cm at
the ends of a light rod. The distance between the centres of the two spheres is 5 m.
What will be the moment of inertia of the system about an axis perpendicular to the
rod passing through its midpoint ?
(A) 1.905 × 10−5 kgm2
(B) 18.75 × 10−5 kgm2
(C) 19.05 kgm2
(D) 1.875 × 10−5 kgm2
70. A steel wire having a radius of 2.0 mm, carrying a load of 4 kg, is hanging from
ceiling. Given that g = 3.1 πms−2 , what will be the tensile stress that would be
developed in the wire ?
(A) 4.8 × 106 Nm−2
(B) 5.2 × 106 Nm−2
(C) 6.2 × 106 Nm−2
(D) 3.1 × 106 Nm−2
71. A hollow spherical shell of outer radius R floats just submerged under the water
surface. The inner radius of the shell is r. If the specific gravity of the shell material is
27
with respect to water, the value of r is
8
4
(A) R
9
8
(B) R
9
1
(C) R
3
2
(D) R
3
π
72. In the wave equation, Y = 0.5 sin ( 400t – x ) the velocity of wave will be
(A) 200 m/s
(B) 200 2 m/s
(C) 400 m/s
(D) 400 2 m/s
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73. Two point charges Q each are placed at a distance d apart. A third point charge q is
placed at a distance x from mid-point on the perpendicular bisector. The value of x at
which charge q will be experience the maximum coulomb’s force is
(A) x=d
d
(B) x=
2
d
(C) x=
2
d
(D) x=
2 2
74. A string is wound around a hollow cylinder of mass 5 kg and radius 0.5 m. If the
string is now pulled with a horizontal force of 40 N, and the cylinder is rolling
without slipping on a horizontal surface ( see the figure ) then the angular acceleration
of the cylinder will be (neglect the mass and thickness of the string )
(A) 12 rad/s2
(B) 16 rad/s2
(C) 10 rad/s2
(D) 20 rad/s2
75. Convert a velocity of 72 kmh−1 into ms−1 with the help of dimensional analysis.
(A) 20 ms−1
(B) 40 ms−1
(C) 100 ms−1
(D) 200 ms−1
Page 19
76. From the following thermochemical data provided,the enthalpy of formation of
CH4(g) from graphite and H2(g) is ……….
CH4(g) + 2 O2(g) → CO2(g) + 2 H2O(l); ∆H = -890.3 kJ/mol …………(i)
C(graphite) + O2(g) → CO2(g); ∆H = -393.5 kJ/mol …………………..(ii)
H2(g) + ½ O2(g) → H2O(l); ∆H = -285.8 kJ/mol ………………………(iii)
(A) –75 kJ/mol
(B) +75 kJ/mol
(C) –175 kJ/mol
(D) +175 kJ/mol
77. The heat of combustion of liquid toluene (C7H8) at 298 K and 1 atm pressure is
−3910.3 kJ.mol−1.
C7H8 (g) + 9O2 (g) → 7(CO2) + 4 H2O (∆H = −3910.3 kJ.mol−1)
How much heat energy will be evolved when 46 g of toluene is burnt in an open
container? (1 Cal = 4.1 J)
(A) 106 kCal
(B) 238 kCal
(C) 477 kCal
(D) 954 kCal
78. For a general chemical reaction aA + bB⇌cC + dD, If the equilibrium constant is
K. Then equilibrium constant for the reaction 2aA + 2bB ⇌2cC + 2dD will be
(A) 2K
(B) K
(C) K2
(D) K/2
Page 20
79. The formation of carbon monoxide from coal is shown by the equation
C(s)+H2O(g)⇌CO(g)+H2(g)
The wrong statement about the chemical equilibria of the reaction is
I As concentration of water increases, quantity of Hydrogen will increase
II Addition of CO will decrease the amount of Hydrogen
III By increasing the pressure, the reaction proceeds in forward direction
IV Quantity of CO remains unchanged by the addition of coal into the system
(A) I
(B) II
(C) III
(D) IV
80. Consider the endothermic forward reaction of gas-phase water splitting as shown
below,
2H2O (g) ⇌ 2H2 (g) + O2 (g)
Which of the following step will decrease the amount of water in the equilibrium
condition?
(A) Adding more O2 into the reaction system
(B) Introduction of inert He-atmosphere for the reaction
(C) Decreasing the total volume of the container
(D) Increasing temperature at constant pressure
81. The mole fraction of 10 moles of Glucose in water solution is 0.50. The volume of
water taken for dissolving glucose is
(A) 9 mL
(B) 18 mL
(C) 90 mL
(D) 180 mL
82. The standard reduction potentials of Cr2O72-/Cr3+ and Cr3+/Cr are 1.33 and 0.74 V
respectively. The reduction potential of Cr2O72-/Cr is
(A) 2.07 V
(B) 1.77 V
(C) 1.33 V
(D) 0.59 V
Page 21
83. The molar conductivities at infinite dilution for the strong electrolytes NH4Cl,
NaOH and NaCl are respectively 149.7 Ω−1cm2mol−1, 248.1 Ω−1cm2mol−1 and
126.5 Ω−1cm2mol−1. The molar conductivity of NH4OH at infinite dilution is
(A) 271.3 Ω−1cm2mol−1
(B) 224.9 Ω−1cm2mol−1
(C) 177.8 Ω−1cm2mol−1
(D) 28.1 Ω−1cm2mol−1
84. Rate of chemical reactions in solution do not depend to a great extend upon
(A) Pressure
(B) Temperature
(C) Concentration
(D) Catalyst
85. The decomposition of carbon disulfide, (CS2), to carbonmonosulfide (CS), and sulfur
is first order with k = 2.8 × 10−7 s−1 at 1000°C
CS2 →CS + S
The half-life of this reaction at 1000°C is
(A) 5.0 × 107 s
(B) 2.5 × 106 s
(C) 3.8 × 105 s
(D) 6.1 × 104 s
86. Ψ2=0 represents
(A) A node
(B) An orbital
(C) Angular wave function
(D) Wave function
87. The position of both an electron and helium atom is known within 1.0 nm. The
momentum of the electron is known within 5.0 × 10−26kg ms−1. The minimum
uncertainty in the measurement of the momentum of the helium atom is
(A) 7.0 × 10−26kg ms−1
(B) 5.0 × 10−26kg ms−1
(C) 8.0 × 10−26kg ms−1
(D) 6.0 × 10−26kg ms−1
Page 22
88. For a chemical reaction A → B, it is found that the rate of the reaction quadruples
when the concentration of A is doubled. The rate expression for the reaction is,
rate = k [A]n where the value of n is
(A) 1
(B) 2
(C) 0
(D) 3
89. Which of the following is dependent on temperature?
(A) Mole fraction
(B) Molality
(C) Weight percentage
(D) Molarity
90. The solubility products of Al(OH)3 and Zn(OH)2 are 8.5 × 10–23 and 1.8 × 10–14
respectively. If NH4OH is added to a solution containing Al3+ and Zn2+ ions, then
substance precipitated first is
(A) Al(OH)3
(B) Zn(OH)2
(C) Both together
(D) No precipitate is formed
91. If 75% of a first order reaction was completed in 60 minutes, 50% of the same
reaction under the same conditions would be completed in
(A) 20 minutes
(B) 30 minutes
(C) 35 minutes
(D) 75 minutes
92. Radioactive disintegration is an example of
(A) zero order reaction
(B) first order reaction
(C) second order reaction
(D) third order reaction
Page 23
93. The e.m.f. of the cell Zn/Zn2+ (0.01 M) || Fe2+ (0.001 M) Fe at 298 K is 0.2905 volt.
Then the value of equilibrium constant for the cell reaction is
(A) 10
(B) 1010
1
(C)
10
1
(D)
1010
94. Henry’s law constant for molality of methane ib benzene at 298 K is 4.27 × 105 mm Hg.
The mole fraction of methane in benzene at 298 K under 760 mm Hg is
(A) 1.78 × 10−3
(B) 0.174
(C) 0.114
(D) 0.281
95. What is the effect of Frenkel defect on the density of ionic solids?
(A) The density of the crystal increases
(B) The density of the crystal decreases
(C) The density of the crystal remains unchanged
(D) There is no relationship between density of a crystal and defect present in it
96. Most acidic proton among the highlighted protons of HOCH2CH2CH2C≡CH is
(A) C≡CH
(B) HOCH2
(C) HOCH2
(D) CH2C≡CH
97. Correct IUPAC nomenclature for the following is
(A) 2-butan-(2-cyclohexanone) ketone
(B) 2-(3-oxobutyl)cyclohexanone
(C) 2-(2-oxobutyl)cyclohexanone
(D) 2-oxobutan-2-cyclohexanone
Page 24
98. Identify the Hoffmann elimination product formed when 2-bromopentane reacts with
sodium tert-butoxide in tert-butanol.
(A)
(B)
(C)
(D)
99. Identify the product formed in each case - when an alkyne C3H4 reacts with:
(i) Hg(OAc)2/H2O; NaBH4,
(ii) BH3; H2O2/OH-
(A) (i) acetone (ii) propionaldehyde
(B) (i) propionaldehyde (ii) acetone
(C) (i) ethanol (ii) propionaldehyde
(D) (i) ethanol (ii) acetone
100. What products among below are formed by reaction of buta-1,3-diene with
HCl (1 equivalent)?
(A) i only
(B) i and iv
(C) i and ii
(D) i and iii
101. Acetophenone reacts with iodine - KI solution and aqueous NaOH to give yellow
solid P, which can be removed by filtration. The filtrate when acidified with HCl
produces a white precipitate of compound Q. Identify P and Q.
(A) PhCHO and PhCO2H
(B) CHI3 and PhCHO
(C) CHI3 and PhCO2H
(D) CH3I and PhCOCO2H
102. Which among MgBr2, (CH3)3P, CH3CH2OH and (CH3)2NH can act as both Lewis
acid and Lewis base?
(A) MgBr2
(B) (CH3)2NH
(C) CH3CH2OH
(D) (CH3)3P
103. An aminoacid containing sulphur atom is:
Page 25
(A) Valine
(B) Serine
(C) Lysine
(D) Cysteine
104. The hybridization of N in (C2H5)3N and its CNC bond angle are:
(A) sp2, >109.5°
(B) sp2, <109.5°
(C) sp3, >109.5°
(D) sp3,<109.5°
105. Which of the following is also known as Schiff base?
(A) imine
(B) cyanohydrin
(C) lithium hydroxide
(D) sodamide
106. A monomer of polyurethane is
(A) diisocyanate
(B) diisocyanide
(C) diamine
(D) dicarboxylic acid
107. Hydrolysis of sucrose yields
(A) glucose + maltose
(B) glucose + fructose
(C) glucose + galactose
(D) maltose + fructose
108. Oxidation of cyclohexene yields a dicarboxylic acid G which is a monomer for a
polyamide polymer. Identify the oxidizing agent.
(A) OsO4,NaOH
(B) O3, Me2S
(C) O3, H2O2
(D) O3, NaBH4
Page 26
109. Carbonyl carbon in which of the following compounds are in the same oxidation
level?
CH3COOH, CH3CHO, CH3COCl, CH3CONH2
(A) CH3COOH and CH3CHO
(B) CH3COOH, CH3CHO and CH3COCl
(C) All four
(D) CH3COOH, CH3COCl and CH3CONH2
110. The deficiency of which of the following vitamins causes scurvy?
(A) Vitamin A
(B) Vitamin B
(C) Vitamin C
(D) Vitamin D
111. Which among following compounds test negative with Tollens reagent?
O
(A) OH
CHO
(B)
O
(C)
H
O
(D) OH
112. Cyclic trimer of formaldehyde is
(A) paraformaldehyde
(B) paraldehyde
(C) 1,3,5-trioxane
(D) bakelite
113. 1-Bromo-2-methylpropane is treated sequentially with i) Mg, Et2O ii) CO2, iii) H3O+.
What is the product formed?
(A) 2-methylpropanoic acid
(B) 2-methylbutanoic acid
(C) 3-methylpropanoic acid
(D) 3-methylbutanoic acid
Page 27
114. Under normal conditions, which of the following reactions is unsuccessful with
benzaldehyde?
(A) Oxidation with Fehling’s reagent
(B) Cannizaro reaction
(C) Aldol condensation
(D) Benzoin condensation
115. Benzene reacting with CH3COCl + anhydrous AlCl3 to give acetophenone is an
example for
(A) Aromatic nuceleophilic substitution
(B) Lewis acid catalyzed addition
(C) Hunsdiecker reaction
(D) Aromatic electrophilic substitution
116. An element X has the following isotopic composition of 200X :90%199X : 8% 202X :
2% . X's weighted average atomic mass is most similar to
(A) 201 amu
(B) 202 amu
(C) 199 amu
(D) 200 amu
117. With a density of 1.80 g ml-1, concentrated aqueous sulfuric acid is 98% H2SO4 by
mass. Acid volume needed to produce one liter of 0.1 M H2SO4 is
(A) 5.55 ml
(B) 11.10 ml
(C) 16.65 ml
(D) 22.20 ml
118. If an electron's energy in the ground state of a hydrogen atom is -x eV, then energy in
the second excited state of He+ is
(A) -x eV
(B) -4/9 x eV
(C) +2 eV
(D) -9/4 x eV
119. Which combination of quantum numbers n, l, m and s for the electron in the atom
does not provide permissible solution of wave equation?
(A) 3,2,-2,1/2
(B) 3,3,1,-1/2
(C) 3, 2, 1, ½
(D) 3,1,1,1/2
Page 28
120. Which of the following is not true for covalent molecules?
(A) They may exhibit isomerism
(B) They have low melting and boiling points
(C) They show ionic reactions
(D) They show molecular reactions
121. Which of the following chemical species pairs has ions with the same central atom
hybridization?
(A) NO2−and NH2−
(B) NO2− and NO3−
(C) NH4+ and NO3−
(D) SCN− and NH2−
122. Which of the following species contains equal number of σ- and π- bonds?
(A) CH2(CN)2
(B) HCO3−
(C) XeO4
(D) (CN)2
123. Which of the following pairs of ions are isoelectronic and isostructural?
(A) ClO3−, SO32−
(B) CO32−, SO32−
(C) ClO3−, CO32−
(D) SO32−, NO3−
124. What percent of a sample of nitrogen must be allowed to escape if its temperature,
pressure and volume are to be changed from 220°C, 3 atmand 1.65 litre to 110℃,
0.7 atm and 1.00 litre respectively?
(A) 81.8%
(B) 71.8%
(C) 76.8%
(D) 86.8%
125. At room temperature, which of the following gaseous mixtures defies Dalton's law of
partial pressure?
(A) NO2 and O2
(B) NH3 and HCl
(C) CO and CO2
(D) SO2 and SO3
Page 29
126. The partial pressure of hydrogen in a flask containing 2g H2 and 32g SO2 is
(A) 1/16th of total pressure
(B) 1/9th of total pressure
(C) 2/3rd of total pressure
(D) 1/8th of total pressure
127. The mixture of three gases X, Y, and Z is enclosed in closed vessel at constant
temperature. Molecular weight of X is highest and that of Y is the least. When
equilibrium is established the
(A) Gas X will be more at bottom
(B) Gas Y will be more at top
(C) Gases X, Y and Z homogeneously present
(D) Gas Y will be more at bottom
128. Pd has exceptional electronic configuration of 4d105s0.It belongs to
(A) Period 4, group 11
(B) Period 5, group 10
(C) Period 6, group 9
(D) Period 3, group 16
129. Which one of them is expected to have highest third ionization energy?
(A) Vanadium
(B) Chromium
(C) Manganese
(D) Iron
130. Which one the following pairs of substances on reaction will not evolve H2 gas?
(A) copper and HCl
(B) iron and steam
(C) iron and sulphuric acid
(D) sodium and ethyl alcohol
131. Hydrogen can be used to form helium at
(A) High temperature and high pressure
(B) High temperature and low pressure
(C) Low temperature and high pressure
(D) Low temperature and low pressure
Page 30
132. Which of these produces oxide when heated vigorously?
(A) LiNO3
(B) NaNO3
(C) KNO3
(D) RbNO3
133. Which of the statement is incorrect?
(A) Aluminium reacts with excess NaOH to give Al(OH)3
(B) NaHCO3 on heating gives Na2CO3
(C) Pure sodium metal dissolves in liquid ammonia to give blue solution
(D) NaOH reacts with glass to give sodium silicate
134. Which of the following alkaline earth metal sulphates has hydration enthalpy higher
than the lattice energy?
(A) CaSO4
(B) BeSO4
(C) BaSO4
(D) SrSO4
135. Which of the following oxides is not expected to react with NaOH?
(A) CaO
(B) SiO2
(C) BeO
(D) B2O3
136. Let f : [ 0, ∞ ) → ℝ be defined by f ( x) = x . Then
(A) f is one-one
(B) f is onto
(C) f is both one-one and onto
(D) f is neither one-one nor onto
137. The number of asymptotes of tan −1 x is
(A) 1
(B) 2
(C) 3
(D) infinite
Page 31
138. The number of possible orders of a matrix with 10 elements is
(A) 1
(B) 2
(C) 3
(D) 4
x −1 x x+2
139. The possible values of x that satisfies the equation 0 x−3 3 = 0 are
0 0 x −5
(A) 1, 2, 3
(B) 3, 4, 6
(C) 2, 5, 7
(D) 1, 3, 5
x
140. Let f : ℝ → ℝ be defined by f ( x) = , x ≠ 0. Then
x
(A) f is continuous in [ 0, ∞ )
(B) f is continuous
(C) f is continuous in ( −1,1)
(D) f is not continuous in ( −∞, 0]
141. If a die shows an even number, then the probability of getting 4 is
1
(A)
6
1
(B)
2
1
(C)
12
1
(D)
3
Page 32
d 2
142. sin x° =
dx π
2
(A) cos x°
π
π
(B) cos x°
180
π
(C) cos x°
90
1
(D) cos x°
90
143. The local minimum of the function f ( x) = x3 − 18 x is attained at x =
(A) −3
(B) 27
(C) 3
(D) −27
144. Let S = { x ∈ ℝ | tan x = x}. Then S is
(A) infinite
(B) finite
(C) 1
(D) 0
1
145. The value of ∫ x(1 + x)88 dx is
0
(A) 0
1
(B)
8010
1
(C) −
8010
(D) 1
Page 33
146. The last digit of M = 1!+ 2!+ 3!+ ...2025! is
(A) 0
(B) 1
(C) 2
(D) 3
x x
147. Let M denote set of all matrices of form , x ∈ ℝ \{0}. Then the identity
x x
element of M under the matrix multiplication is
1 0
(A)
0 1
1 1
(B)
1 1
1 1
2 2
(C)
1 1
2 2
1 1
(D)
0 1
148. The number of strings which can be formed using the letters of the word ‘MATRIX’
either starts with A or ends with R, is
(A) 100
(B) 216
(C) 432
(D) 720
149. In a cricket squad of 15 members, only 5 can bowl. From this, a team of 11 members
with 4 bowlers has to be selected. The probability for this selection is
2
(A)
455
6
(B)
1365
40
(C)
91
54
(D)
91
Page 34
150. The number of ways of arranging the letters of the name EULER is
(A) 24
(B) 10
(C) 120
(D) 60
151. For real numbers a and b, define a◊b = (a − b) 2 . Then ( x − y )2 ◊( y − x) 2 is equal to
(A) 0
(B) 2x2
(C) 2 y2
(D) xy
152. A number is palindrome if it remains same when its digits are reversed. A palindrome
between 100 and 1000 is chosen at random. The probability that it is divisible by 2 is
2
(A)
45
1
(B)
10
1
(C)
9
1
(D)
50
153. The number of values of ‘a’ such that the equation x 2 + y 2 + 4ax − 2ay + a 2 = 0
represents a real circle is
(A) 0
(B) 1
(C) 2
(D) infinite
154. The first three terms of a geometric progression are 2, 3 2 and 6 2 . Then the next
term is
(A) 9 2
(B) 8 2
(C) 7 2
(D) 1
Page 35
155. Which of the following is TRUE?
(A) There exists two distinct irrational numbers such that their sum is rational
(B) There exists two distinct irrational numbers such that their difference is rational
(C) There exists two distinct irrational numbers such that their product is rational
(D) All the above
156. The angle made by the vector i + j + 2k with z-axis is
(A) 1°
(B) 30°
(C) 45°
(D) 60°
1, x is rational
157. Let S be the set of all points at which the function f ( x) = is
−1, x is irrational
continuous. Then S is equal to
(A) ℝ
(B) [ −1,1]
(C) [0, ∞]
(D) φ
158. The number of subsets of {2, 3, 4,5, 6, 7,8,9} that contains at least one composite
number is
(A) 16
(B) 32
(C) 64
(D) 240
159. A straight line through the point (2, 2) intersects the lines 3 x + y = 0 and
3 x − y = 0 at the points A and B. The equation of the line AB so that the ∆OAB is
equilateral, is
(A) x−2=0
(B) y−2 = 0
(C) x+ y−4=0
(D) x+ y+4=0
Page 36
160. The slopes of the lines represented by x 2 + 6hxy + 3 y 2 = 0 are two tangents to a
circle. Then the radius of the circle is
1
(A) ±
2
2
(B) ±
3
(C) ±1
3
(D) ±
2
161. Suppose a circle passes through (0, 2) and (3, 5) and touches the y-axis at Q. If O is
the origin, then OQ is equal to
(A) 5
(B) 4
(C) 3
(D) 2
162. Which of the following is TRUE ?
(A) Division is a closed binary operation in ℤ
(B) Division is a closed binary operation in ℕ
(C) Division is a closed binary operation in ℝ \ {0}
(D) Division is a closed binary operation in ℝ
163. If α , β are the roots of the equation x 2 − 2 x + 4 = 0 , then the value of α 5 + β 5 is
(A) 32
(B) 64
(C) 128
(D) 256
z + 2i
164. If Im = 0, then z lies on the curve
z+2
(A) x2 + y2 + 2 x + 2 y = 0
(B) x2 + y2 − 2 x = 0
(C) x+ y+2=0
(D) x2 + y2 − 2 y = 0
Page 37
165. The equation zz + (1 − 4i ) z + (1 + 4i ) z + 1 = 0 represents a circle of radius
(A) 3
(B) 4
(C) 5
(D) 6
166. log 3 2, log 6 2, log12 2 are in
(A) AP but not in GP
(B) GP but not in AP
(C) HP
(D) Both AP and GP
167. The sum of the series (1 + 3) + (1 + 3 + 32 ) + (1 + 3 + 32 + 33 ) + ... up to n terms is
3
(A) 3n+ 2 − n −
4
n 3
(B) 3n+ 2 − −
2 4
n
(C) 3n+1 −
4
(D) 3n+1 − 1
1 2
168. If x = 3 + 33 + 3 3 , then the value of x3 − 9 x 2 + 18 x is
(A) 3
(B) 16
(C) 21
(D) 12
169. Number of divisors of the form 4n + 2 (n ≥ 0) of the integer 280 is
(A) 3
(B) 4
(C) 5
(D) 6
Page 38
170. If the coefficient of x3 and x 4 in the expansion of (4 + kx)7 are equal, then the value
of k is
(A) 2
(B) 4
(C) 7
(D) 1
x + 2y + z = 4
171. The system of linear equations 4 x + 3 y + 2 z = 7 has
5x + 5 y + 3z = 8
(A) infinite number of solutions
(B) exactly 3 solutions
(C) a unique solution
(D) no solution
1 1 1
172. The value of bc ca ab is
b+c c+a a+b
(A) 1
(B) 0
(C) (a − b)(b − c)(c − a )
(D) (a + b)(b + c)(c + a )
∞ 1 m n−1
173. ∑ ∑ 3 is equal to
m=1 m ! n =1
(A) e
e3 + e
(B)
2
(C) e3
e3 − e
(D)
2
Page 39
174. Let f : ℝ → ℝ be a mapping defined by f ( x) = x3 + 4. Then f is
(A) bijective
(B) surjective
(C) injective
(D) not bijective
175. Let A and B be the sets of all positive divisors of 400 and 1000 respectively including
1. Then the number of elements in A ∩ B is
(A) 4
(B) 6
(C) 8
(D) 12
176. If the probability of a defective bolt is 0.1, then the mean and the standard deviation
of the distribution of bolts in a total of 400 are respectively
(A) 30, 3
(B) 40, 5
(C) 30, 4
(D) 40, 6
177. The probability that an even number appears on all when throwing three dice
simultaneously, is
1
(A)
8
5
(B)
8
2
(C)
9
4
(D)
13
178. An example of a rational number is
(A) sin 15°
(B) cos 15°
(C) sin 15° cos 15°
(D) sin 15° cos 75°
Page 40
179. The quadratic equation whose roots are sin 2 18° and cos 2 36°, is
(A) 16 x 2 − 12 x + 1 = 0
(B) 16 x 2 + 12 x + 1 = 0
(C) 16 x 2 − 12 x − 1 = 0
(D) 16 x 2 + 10 x + 1 = 0
π
180. In a triangle ABC, if ∠B = , then cos 2 A + cos 2 C is equal to
2
(A) −2
(B) 1
(C) 2
(D) 0
181. The two points on the line x + y = 4 that lie at a unit distance from the
line 4x + 3y = 10 are
(A) (−3,1), (7,11)
(B) (3,1), (−7,11)
(C) (3,1), (7,11)
(D) (3,1), (−7, −11)
182. The shortest distance between the line y − x = 1 and the curve x = y 2 , is
3 2
(A)
8
2 3
(B)
8
3 2
(C)
5
3
(D)
4
Page 41
∂z
183. If x x y y z z = c, then is equal to
∂x
1 + log x
(A)
1 + log z
1 + log x
(B) −
1 + log z
1 + log z
(C)
1 + log x
1 − log z
(D)
1 − log x
e x + e− x + 2 cos x − 4
184. lim is equal to
x→0 x4
(A) 0
(B) 1
1
(C)
6
1
(D) −
6
x 3
185. In the interval (−3, 3) , the function f ( x) = + , x ≠ 0 is
3 x
(A) increasing
(B) decreasing
(C) neither increasing nor decreasing
(D) partly increasing and partly decreasing
π
2
cos x − sin x
186. ∫ 1 + cos x sin x is equal to
0
(A) 0
π
(B)
2
π
(C)
4
π
(D)
6
Page 42
dy
187. The solution of the differential equation x = 2 y + x3e x , where y = 0 when x = 1 is
dx
(A) y = x2 ( e x − e )
(B) y = x3 ( e − e x )
(C) x = y3 ( e − e x )
(D) tan x = (sec x + c) y
188. The number of distinct real values of λ , for which the vectors −λ 2iˆ + ˆj + kˆ ,
iˆ − λ 2 ˆj + kˆ and iˆ + ˆj − λ 2 kˆ are coplanar, is
(A) 0
(B) 1
(C) 2
(D) 3
z−2
189. If z is a point on the argand plane such that z − 1 = 1, then is equal to
z
(A) tan(arg z )
(B) cot(arg z )
(C) i tan(arg z )
(D) 2
190. If 2 − i is a root of the equation ax 2 + 12 x + b − 0 (where a and b are real), then the
value of ab is equal to
(A) 45
(B) 15
(C) −15
(D) −45
191. For a, b ∈ R, the equation x 2 + (a − b) x + (1 − a − b) = 0 has unequal roots for all
values of b. Then
(A) a < 1
(B) a > 1
(C) a = 2
(D) a is real
Page 43
192. The sum of the last ten coefficients in the expansion of (1 + x)19 when expanded in
ascending powers of x, is
(A) 218
(B) 219
(C) 217
(D) 220
193. A parents has two children. If one of them is boy, then the probability that the other is,
also a boy is
1
(A)
2
1
(B)
4
1
(C)
3
2
(D)
3
194. A function f is such that f '(a) = f "(a) = f '''(a) = ... = f 2n (a) = 0 and f has a
local maximum value b at x = a if f ( x) is
(A) ( x − a)2n+ 2
(B) b − 1 − ( x + 1 − a)2n−1
(C) b − ( x − a) 2n+ 2
(D) ( x − a) 2 n+ 2 − b
4
195. The minimum value of e x − x3 + x 2 is
(A) e
(B) e2
(C) 1
1
(D)
e
Page 44
dy
196. The solution of the differential equation 2 x − y = 3 represents
dx
(A) circles
(B) straight lines
(C) ellipses
(D) parabolas
197. A gentle man has 6 friends to invite. In how many ways can he send invitation cards
to them, if he has three servants to carry the cards?
(A) 36
(B) 63
(C) 8
(D) 38
198. Define x ⋄ y to be |x − y| for all real numbers x and y. The value of
(1 ⋄ (2 ⋄ 3)) − ((1 ⋄ 2) ⋄ 3) is
(A) −2
(B) −1
(C) 0
(D) 1
log10 (3− x )
199. The number of solutions of log 2 ( 9 − 2 x ) = 10 is
(A) 0
(B) 1
(C) 2
(D) 3
200. If a, b, c are distinct positive real numbers and a2 + b2 + c2 = 1 , then ab + bc + ca is
(A) less than 1
(B) equal to 1
(C) greater than 1
(D) any real number
πx 2
201. The number of solutions of the equations sin = x − 2 3 x + 4 is
2 3
(A) 0
(B) 1
(C) 2
(D) more than 2
Page 45
(n + 2)!− (n + 1)!
202. For all integers n ≥ 9, the value of is always a
n!
(A) multiple of 4
(B) multiple of 10
(C) prime number
(D) perfect square
203. In the value of 100!, the number of zeros at the end, is
(A) 11
(B) 22
(C) 23
(D) 24
n n n
204. lim 2 + 2 + ... + 2 ==
n→ a n + 1 n + 2 n + n
(A) 0
(B) 1
(C) infinite
(D) does not exist
15
( x + 1 + x2 ) dx =
205. ∫
1 + x2
16
(A) ( x + 1 + x2 ) +c
10
1
(B) +c
2
15 1 + x + x
15
(C) +c
1 + x2 − x
15
(D) ( x + 1 + x2 ) +c
15
2 n +1
206. The remainder left when 82n − ( 62 ) is divided by 9 is
(A) 0
(B) 2
(C) 7
(D) 8
Page 46
x
207. Let f : R → R be defined by f ( x) = , x ∈ R, then the range of f is
1 + x2
−1 1
(A) 2 , 2
(B) R − [−1,1]
−1 1
(C) R− ,
2 2
(D) (−1,1) − {0}
x y
1 p+q
208. If z = x − iy and z = p + iq , then 2
3
2
=
p +q
(A) −2
(B) −1
(C) 2
(D) 1
209. If α and β are the coefficients of x 4 and x 2 respectively in the expansion of
6 6
( x + x2 − 1 ) ( )
+ x − x 2 − 1 , then
(A) α + β = 60
(B) α + β = −30
(C) α − β = 60
(D) α − β = −132
210. ( )
If the circle x 2 + y 2 − 6 x − 8 y + 25 − a 2 = 0 touches the axis of x, then a equals to
(A) 0
(B) ±4
(C) ±2
(D) ±3
Page 47
2
211. The value of tan −1 sin cos−1 is
3
π
(A)
4
π
(B)
2
π
(C)
3
π
(D)
6
2 4
212. The integral ∫ sec 3 x cosec 3 x dx =
−1
(A) −3 tan 3 x + c
−4
(B) 3
− tan 3 x + c
4
−1
(C) 3cot 3 x + c
−1
(D) 3 tan 3 x + c
213. If a set A has 2 elements and a set B has 3 elements, then how many relations from A
to B are possible?
(A) 6
(B) 32
(C) 64
(D) 9
214. The number of real roots of the equation x 2 + 5 x + 6 = 0 is
(A) 4
(B) 3
(C) 2
(D) 0
Page 48
215. The distance between the straight lines 2 x + y + 4 = 0 and 2 x + y + 8 = 0 is
4
(A)
5
3
(B)
5
9
(C)
5
3
(D)
2
216. The ratio in which the line joining (1, 2, 3) and (4,5, 6) divide xy plane is
(A) 2
(B) −2
1
(C)
2
1
(D) −
2
217. The domain of the function cos −1 (2 x − 1) is
(A) [−2, 0]
(B) [0, 2]
(C) [1, 0]
(D) [0,1]
x
1
218. The maximum value of is
x
(A) e
(B) ee
1
(C)
ee
1
(D)
e
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219. If a = 10, b = 2 and a ⋅ b = 12, then the value of a × b is
(A) 5
(B) 10
(C) 14
(D) 16
4
1+ i
220. is equal to
2
(A) 1
(B) 0
(C) 2
(D) −1
221. ( )( )( )
If ω is a cube root of unity, then the value of 1 − ω 8 1 − ω 4 1 − ω 2 (1 − ω ) is
(A) 1
(B) 9
(C) 0
(D) 6
dx
222. The equation x + y = α where α is constant represents a family of
dy
(A) circles
(B) parabolas
(C) hyperbolas
(D) exponential curves
223. The order of the differential equation whose general solution is
y = c1 cos 2 x + c2 cos 2 x + c3 sin 2 x + c4 , is
(A) 1
(B) 2
(C) 3
(D) 4
x+3 ( −4 − 2 x ) dx
224. If ∫ dx = A∫ dx + B ∫ ; then 2A + B is
5 − 4 x + x2 5 − 4 x + x2 5 − 4 x + x2
(A) 0
(B) 1
(C) 2
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(D) −1
2n, n = 2, 4, 6,8,...
225. Let a function f : N → N be defined by f (n) = n − 1, n = 3, 7,11,15,..., then f is
n +1
, n = 1,5,9,13,...
2
(A) one-one and onto
(B) one-one but not onto
(C) onto but not one-one
(D) neither one-one nor onto
Page 51
Answer Key
SI SI SI SI SI SI SI SI
No Key No Key No Key No Key No Key No Key No Key No Key
1 A 31 B 61 B 91 B 121 B 151 A 181 B 211 D
2 C 32 C 62 C 92 B 122 C 152 A 182 A 212 A
3 A 33 D 63 B 93 B 123 A 153 A 183 B 213 C
4 D 34 C 64 A 94 A 124 A 154 D 184 C 214 D
5 A 35 C 65 A 95 C 125 B 155 D 185 B 215 A
6 B 36 B 66 B 96 C 126 C 156 C 186 A 216 D
7 B 37 A 67 C 97 B 127 C 157 D 187 A 217 D
8 A 38 D 68 B 98 B 128 B 158 D 188 C 218 C
9 A 39 A 69 C 99 A 129 C 159 B 189 C 219 D
10 D 40 D 70 D 100 B 130 A 160 B 190 A 220 D
11 A 41 D 71 B 101 C 131 A 161 C 191 B 221 B
12 B 42 D 72 C 102 C 132 A 162 C 192 A 222 A
13 C 43 B 73 D 103 D 133 A 163 B 193 C 223 D
14 C 44 C 74 B 104 D 134 B 164 C 194 C 224 A
15 A 45 B 75 A 105 A 135 A 165 B 195 C 225 A
16 A 46 D 76 A 106 A 136 A 166 C 196 D
17 A 47 C 77 C 107 B 137 B 167 B 197 A
18 A 48 B 78 C 108 C 138 D 168 D 198 A
19 B 49 C 79 C 109 D 139 D 169 A 199 B
20 D 50 C 80 D 110 C 140 B 170 B 200 A
21 A 51 C 81 D 111 D 141 D 171 D 201 B
22 C 52 A 82 D 112 C 142 D 172 C 202 D
23 A 53 D 83 A 113 D 143 C 173 D 203 D
24 B 54 C 84 A 114 A 144 D 174 A 204 B
25 C 55 B 85 B 115 D 145 B 175 D 205 D
26 D 56 C 86 A 116 D 146 D 176 D 206 B
27 C 57 D 87 B 117 A 147 C 177 A 207 A
28 D 58 B 88 B 118 B 148 B 178 C 208 A
29 B 59 D 89 D 119 B 149 D 179 A 209 D
30 D 60 C 90 A 120 C 150 D 180 B 210 B