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1)

Given in the figure are two blocks A and B of weight 20 N and 100 N, respectively. These
are being pressed against a wall by a force F as shown. If the coefficient of friction
between the blocks is 0.1 and between block B and the wall is 0.15, the frictional force
applied by the wall on block B is:
- A) 100 N
- B) 80 N
- C) 120 N
- D) 150 N
Right Answer is the option "C"
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2)
A particle of mass m moving in the x direction with speed 2v is hit by another particle of
mass 2m moving in the y direction with speed v. If the collision is perfectly inelastic, the
percentage loss in the energy during the collision is close to:
- A) 44 %
- B) 50 %
- C) 56 %
- D) 62 %
Right Answer is the option "C"
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3)
A red LED emits light at 0.1 watt uniformly around it. The amplitude of the electric field
of the light at a distance of 1 m from the diode is:
- A) 1.73 V/m
- B) 2.45 V/m
- C) 5.48 V/m
- D) 7.75 V/m
Right Answer is the option "B"
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4)
A On a hot summer night, the refractive index of air is smallest near the ground and
increases with height from the ground. When a light beam is directed horizontally, the
Huygens' principle leads us to conclude that as it travels, the light beam:
- A) becomes narrower
- B) goes horizontally without any deflection
- C) bends downwards
- D) bends upwards
Right Answer is the option "D"
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5)
Assuming human pupil to have a radius of 0.25 cm and a comfortable viewing distance
of 25 cm, the minimum separation between two objects that human eye can resolve at
500 nm wavelength is:
- A) 1 μm
- B) 30 μm
- C) 100 μm
- D) 300 μm
Right Answer is the option "B"
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6)
As an electron makes a transition from an excited state to the ground state of a
hydrogen - like atom/ ion:
- A) its kinetic energy increases but potential energy and total energy decrease
- B) kinetic energy, potential energy and total energy decrease
- C) kinetic energy decreases, potential energy increases but total energy remains same
- D) kinetic energy and total energy decrease but potential energy increases
Right Answer is the option "A"
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7)
A signal of 5 kHz frequency is amplitude modulated on a carrier wave of frequency 2
MHz. the frequencies of the resultant signal is/are:
- A) 2 MHz only
- B) 2005 kHz, and 1995 kHz
- C) 2005 kHz, 2000 kHz and 1995 kHz
- D) 2000 kHz and 1995 kHz
Right Answer is the option "C"
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8)
Two coaxial solenoids of different radii carry current I in the same direction. Let F1 be
the magnetic force on the inner solenoid due to the outer one and F2 be the magnetic
force on the outer solenoid due to the inner one. Then:
- A) F1 = F2 = 0
- B) F1 is radially inwards and F2 is radially outwards
- C) F1 is radially inwards and F2 = 0
- D) F1 is radially outwards and F2 = 0
Right Answer is the option "A"
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9)

In the circuit shown, the current in the 1 Ω resistor is:
- A) 1.3 A from P to Q
- B) 0 A
- C) 0.13 A, from Q to P
- D) 0.13 A, from P to Q
Right Answer is the option "C"
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10)
A solid body of constant heat capacity 1 J/°C is being heated by keeping it in contact
with reservoirs in two ways:
(i) Sequentially keeping in contact with 2 reservoirs such that each reservoir supplies
same amount of heat.
(ii) Sequentially keeping in contact with 8 reservoirs such that each reservoir supplies
same amount of heat.
In both the cases body is brought from initial temperature 100 °C to final temperature
200 °C. Entropy change of the body in the two cases respectively is:
- A) ln2, 4ln2
- B) ln2, ln2
- C) ln2, 2ln2
- D) 2ln2, 8ln2
Right Answer is the option "B"
CHEMISTRY
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11)
Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge of
4.29 Å. The radius of sodium atom is approximately
- A) 1.86 Å
- B) 3.22 Å
- C) 5.72 Å
- D) 0.93 Å
Right Answer is the option "A"
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12)
Which of the following is the energy of a possible excited state of hydrogen?
- A) +13.6 eV
- B) –6.8 eV
- C) –3.4 eV
- D) –3.4 eV
Right Answer is the option "C"
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13)
The intermolecular interaction that is dependent on the inverse cube of distance
between the molecules is
- A) Ion-ion interaction
- B) Ion-dipole interaction
- C) London force
- D) Hydrogen bond
Right Answer is the option "D"
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14)
The vapour pressure of acetone at 20°C is 185 torr. When 1.2 g of a non-volatile
substance was dissolved in 100 g of acetone at 20°C, its vapour pressure was 183 torr.
The molar mass of the substance is:
- A) 32
- B) 64
- C) 128
- D) 488
Right Answer is the option "B"
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15)
Two faraday of electricity is passed through a solution of CuSO4. The mass of copper
deposited at the cathode is (at. mass of Cu = 63.5 amu)
- A) 0 g
- B) 63.5 g
- C) 2 g
- D) 127 g
Right Answer is the option "B"
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16)
Higher order (>3) reactions are rare due to
- A) Low probability of simultaneous collision of all the reacting species
- B) Increase in entropy and activation energy as more molecules are involved
- C) Shifting of equilibrium towards reactants due to elastic collisions
- D) Loss of active species on collision
Right Answer is the option "A"
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17)
3 g of activated charcoal was added to 50 mL of acetic acid solution (0.06N) in a flask.
After an hour it was filtered and the strength of the filtrate was found to be 0.042 N.
The amount of acetic acid adsorbed (per gram of charcoal) is
- A) 18 mg
- B) 36 mg
- C) 42 mg
- D) 54 mg
Right Answer is the option "A"
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18)
Which one of the following alkaline earth metal sulphates has its hydration enthalpy
greater than its lattice enthalpy?
- A) CaSO4
- B) BeSO4
- C) BaSO4
- D) SrSO4
Right Answer is the option "B"
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19)
The color of KMnO4 is due to:
- A) M → L charge transfer transition
- B) d - d transition
- C) L → M charge transfer transition
- D) σ – σ* transition
Right Answer is the option "C"
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20)
50. Assertion: Nitrogen and Oxygen are the main components in the atmosphere but these
do not react to form oxides of nitrogen.
Reason: The reaction between nitrogen and oxygen requires high temperature.
- A) Both assertion and reason are correct, and the reason is the correct explanation for
the assertion
- B) Both assertion and reason are correct, but the reason is not the correct explanation
for the assertion
- C) The assertion is incorrect, but the reason is correct
- D) Both the assertion and reason are incorrect
Right Answer is the option "A"
MATHEMATICS
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21)
Let A and B be two sets containing four and two elements respectively. Then the
number of subsets of the set AB, each having at least three elements is:
- A) 219
- B) 256
- C) 275
- D) 510
Right Answer is the option "A"
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22)
The set of all values of λ for which the system of linear equations:
2x1- 2x2 + x3 = λx1
2x1 - 3x2 + 2x3 = λx2
-x1+2x2 = λx3
has a non-trivial solution,
- A) is an empty set.
- B) is a singleton.
- C) contains two elements.
- D) contains more than two elements.
Right Answer is the option "C"
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23)
The number of integers greater than 6,000 that can be formed, using the digits 3, 5, 6,
7 and 8, without repetition, is:
- A) 216
- B) 192
- C) 120
- D) 72
Right Answer is the option "B"
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24)
The number of points, having both co-ordinates as integers, that lie in the interior of the
triangle with vertices (0, 0), (0, 41) and (41, 0), is:
- A) 901
- B) 861
- C) 820
- D) 780
Right Answer is the option "D"
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25)
Locus of the image of the point (2, 3) in the line (2x - 3y + 4) + k (x – 2y+3) = 0, k ε R, is
a:
- A) straight line parallel to x-axis.
- B) straight line parallel to y-axis.
- C) circle of radius √2.
- D) circle of radius √3.
Right Answer is the option "C"
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26)
84. The equation of the plane containing the line 2x - 5y + z = 3, x + y + 4z = 5, and parallel
to the plane, x + 3y + 6z = 1, is:
- A) 2x + 6y + 12z = 13
- B) x + 3y + 6z = -7
- C) x + 3y + 6z = 7
- D) 2x + 6y + 12z = -13
Right Answer is the option "C"
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27)
87. The mean of the data set comprising of 16 observations is 16. If one of the observation
valued 16 is deleted and three new observations valued 3, 4 and 5 are added to the
data, then the mean of the resultant data, is:
- A) 16.8
- B) 16.0
- C) 15.8
- D) 14.0
Right Answer is the option "D"
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28)
88. If the angles of elevation of the top of a tower from three collinear points A, B and C, on
a line leading to the foot of the tower, are 30°, 45° and 60° respectively, then the ratio,
AB : BC, is:
- A) √3:1
- B) √3: √2
- C) 1: √3
- D) 2:3
Right Answer is the option "A"
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29)
90. The negation of ~ S ⋁ (~ r ⋀ s) is equivalent to:
- A) s ⋀ ~ r
- B) s ⋀ (r ⋀ ~ s)
- C) s ⋁ (r ⋁ ~ s)
- D) s ⋀ r
Right Answer is the option "D"
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30)
The given differential equation
- A) is Over damped
- B) is Critically damped
- C) is Under damped
- D) None of them
Right Answer is the option "A"