AMUEEE 2024 Question Paper with Answer Key

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AMUEEE 2024
Question Paper
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AMUEEE 2024 Question Paper Answer Key

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m .co

m .co s em
se AMUEEE 2024 g la
a
AMU Engineering Entrance Exam Solved Paper

Total Questions: 150 • Chemistry, Physics & Mathematics

Chemistry
m
1. m
c. okJ, C—C
Using the bond energy data, compute for ethyl alcohol ( ). Here, standard bond
m .co
enthalpy of C—H
m kJ, C—O kJ, O—H kJ.
s e
s e l a
kJ
a kJ
ag
(a) (b)

g lkJ
(c)
a (d) kJ

2. Complete the following reaction.

m
m .co
s e
g la
a

m
m
Options (a)–(d) are shown in the figure above.
.co
.co
m The following statement(s) true for ideal gas s e m
s3.e
g l a
g la (a) (b) a
a
(c) (d)

m .
.co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 1 of 29

4. Which of the following is not aromatic compound?

Options (a)–(d) are shown in the figure above.

5. Identify the correct option for the isomerism in the coordination compounds.
(a) MABXL (where are unidentates) (b) MABXL (where are unidentates)
shows two geometrical isomerism and shows three geometrical isomerism and
is an example of is an example of
ionisation isomerism. linkage isomerism.
(c) MABXL (where are unidentates) (d) MABXL (where are unidentates)
shows four geometrical isomerism and shows no geometrical isomerism and
is an example of is an example of
coordination isomerism. solvate isomerism.

6. Which of the following can undergo in Hell-Volhard-Zelinsky reaction?

Options (a)–(d) are shown in the figure above.

7. Which of the following is true for the value of the rate constant, predicted by the Arrhenius equation if
?
(a) and the result is physically reasonable. (b) and the result is not physically
reasonable.
(c) and the result is not physically (d) and the result is physically
reasonable. reasonable.

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8. FAD is a redox-active molecules which takes part in many important biological reactions. The redox
potential of FAD at pH is given below:

Calculate the redox potential when the media is acidified to pH
(a) V (b) V
(c) V (d) V

9. Which of the following pairs has the highest difference in their first ionisation energy?
(a) Xe, Cs (b) Ne, Na
(c) Kr, Rb (d) Ar, K

10. The formal charge on the central oxygen of ozone molecule is
(a) (b)

(c) (d)

11. Which of the following neurotransmitters plays a role in mood changes?
(a) Aspirin (b) Noradrenaline
(c) Heroin (d) Chloramphenicol

12. What is 'Z' in above reactions?

(a) Z = ethylene (b) Z = methanamine
(c) Z = isocyanomethane (d) Z = acetonitrile

13. The plot between half-life ( ) and initial concentration ( ) for the reaction Product, is given
below:
The order ( ) of the reaction is

(a) zero order (b) first order
(c) second order (d) pseudo first order

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m
m .co

c.14.o Shapes of s em
m and are
laT-shape
se (a) trigonal pyramidal and irregular tetrahedral (b) linear g
a and
(c) T-shape and linear (d) trigonal planer and linear

15. Steam decomposes at high temperature according to the equation.

Calculate the approximate temperature at which the equilibrium constant is unity, given that
m
m .co
m .co s e m
s e l a
g a
lK ag
(a)

(c)
a K (b)

(d)
K
K

16. Complete the following reaction:

m
m .co
s e
g la
a

(a) = ethanolic KOH; = ; = (b) = aqueous NaOH; = ; =
aqueous NaOH
(c) = aqueous KOH; = ; = (d) = ethanolic NaOH; = ; =
ethanolic NaOH
m
c o m m.co
17. .Which of the following does not exist? e
em l as
las (a) (b)
ag
ag (c) (d)

18. Which of the following elements forms bond with transition metals?
(a) Nitrogen and bismuth (b) Antimony and bismuth
(c) Antimony and nitrogen (d) Phosphorus and arsenic

m .
.co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 4 of 29

19. If the ratio of composition of oxidised and reduced species in electrochemical cells, is given as

, the potential difference will be

(a) (b)

(c) (d)

20. Which one of the following options is true for the detection of sulphur by 'Lassaigne's test'?
(a) (Prussian blue) (b) (Violet)
(c) (Blood red) (d) (Yellow)

21. Calculate the pH after the addition of 0.01 mole of NaOH to 1 litre of a buffer solution that is 0.1 M in
acetic acid and 0.1 M sodium acetate. The dissociation constant of acetic acid is .
(a) 4.847 (b) 4.760
(c) 5.231 (d) 3.721

22. The compound that gives precipitate on warming with aqueous is

Options (a)–(d) are shown in the figure above.

23. Kohlrausch's law is applicable to a dilute solution of
(a) benzoic acid in toluene (b) hydrochloric acid in water
(c) potassium chloride in benzene (d) acetic acid in water

24. What are the missing reagents in the following reaction sequence?

(a) and /heat (b) and /heat
(c) and (d) and

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25. What would be Z in the following conversion?

(a) Phenol (b) Benzene
(c) Aniline (d) Toluene

26. For the reaction represented by , at 300 K. Calculate
for the following reactions at 300 K:
(a) (b)

(c) (d)

27. The relative mobilities of the alkali metal ions in aqueous solution is
(a) (b)

(c) (d)

28. Complete hydrolysis of RNA yields ......... sugar.
(a) -D-2-deoxyribose (b) -D-ribose
(c) -D-glucose (d) -D-( )-fructofuranose

29. Complex with maximum CFSE is
(a) (b)

(c) (d)

30. Consider the following redox reaction:
What is the oxidation number of sulphur in ' '?
(a) (b)

(c) (d)

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m
m .co

c.31.o s e m
m (conc.) ?
a
se ag l

m
m .co
.co s e m
em a
Options (a)–(d) are shown in the figure above.

a s g l
l a
g pressure ( ) of a polymer sample at different concentration ( ) was measured at .
A plot of
a
32. The osmotic
versus gave a straight line with slope ' ' and intercept . The average molecular
weight of the polymer is ( = gas constant)
(a) (b)

(c) (d)

33. Copper matte contains
m
(a) and .co
(b) and
and s em
and
a
(c) (d)

agl
34. Which of the following is correct for the synthesis of low density polyethene (LDP) and high density
polyethene (HDP)?
(a) LDP : Ziegler-Natta catalyst; HDP : traces of (b) LDP : acid or base catalyst; HDP : peroxide
dioxygen catalyst catalyst
(c) LDP : traces of dioxygen catalyst; HDP : (d) LDP : peroxide catalyst; HDP : acid or base
Ziegler-Natta catalyst catalyst
m
m .co
35.
m .coThe correct order of the acidity for the following compound is
s e m
s e g l a
g la a
a
(a) (iii) > (i) > (ii) (b) (iii) > (ii) > (i)
(c) (i) > (ii) > (iii) (d) (ii) > (i) > (iii)

m .
.co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 7 of 29

36. Which compound would give 5-keto-2-methyl hexanal upon ozonolysis?

Options (a)–(d) are shown in the figure above.

37. With increase in temperature, the Gibbs free energy for the adsorption of a gas on to a solid surface
(a) becomes more positive from a negative value (b) becomes more negative from a positive value
(c) becomes more negative from a negative value (d) becomes more positive from a positive value

38. The coordinates for the atoms in a body centered cubic unit cell are
(a) (b)
and and

(c) (d)
and and

39. Which of the following vanadium oxide reacts with acids to produce as well as salts?
(a) (b)

(c) (d)

40.

(a) (b)

(c) (d) No reaction

41. One mole of benzene is converted reversibly into vapour at its boiling point 80.2°C by supplying heat.
The vapour expands against the pressure of 1 atm. The heat of vaporisation of benzene is .
The for the process is
(a) (b)

(c) (d)

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42. What are the major products that are formed by heating the following ether with HI?

Options (a)–(d) are shown in the figure above.

43. Which of the following reaction is related to the stratospheric pollution? (i.e. damaging the ozone
layer)
(a) (b)

(c) (d)

44. Continuous heating makes colourless because of
(a) absence of -orbitals in Ti (b) only one electron in -orbital of Ti
(c) - transition shifts to UV-region (d) absence of ligand

45. The stability of lyophobic colloids is due to the
(a) small particle size (b) shape of the particles
(c) van der Waals' force between the particles. (d) electrical double layer at the surface of the
particles.

46. How many moles of electrons will weigh 100 g? (Mass of one electron kg)
(a) (b)

(c) (d)

47. Which of the following compounds do not form hydrates?
(a) (b)

(c) (d)

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m
m .co

c.48.o Identify X and Y in the following reaction sequence: s e m
m a
se ag l

(a) X = propylbenzene and Y = propiophenone (b) X = propiophenone and Y = propylbenzene
(c) X = propiophenone and Y = aniline (d) X = propiophenone and Y = phenylhydrazone
m
m .co
49.
.co
The diamagnetic behaviour is shown by
m s e m
s e l a
ag
(a) (b)

(c)
g l a (d)
a
50. The magnetic moment of is 2.9 BM. Predict the hybridisation of .
(a) (b)

(c) (d)

m
Physics .co
s em
51.
g lais given by
a
The force of interaction between two atoms , where is the

distance, is the Boltzmann constant and is temperature and and are two constants. The
dimension of is
(a) (b)

(c) (d)

mcm. The
.co
52. As shown in the figure, a current of 2 A flowing in an equilateral triangle of side
m
.co
magnetic field at the centroid of the triangle is
e m
e m l as
las ag
ag

(a) T (b) T
(c) T (d) T

m .
.co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 10 of 29

53. A plano-convex lens of radius of curvature 30 cm made of refractive index 1.5 is kept in air. What is
the focal length (in cm) of the lens?
(a) 20 cm (b) 40 cm
(c) 60 cm (d) 80 cm

54. For a certain radioactive process the graph between and is obtained as shown in the figure.
Then, the value of half-life for the unknown radioactive material is approximately.

(a) 9.15 s (b) 6.93 s
(c) 2.62 s (d) 4.62 s

55. The value of current in the resistance is

(a) 1A (b) 2A
(c) 3A (d) 4A

56. The potential energy of a diatomic molecule is a function dependent on (interatomic distance) as
, where and are positive constants. What is the equilibrium distance between
two atoms?
(a) (b)

(c) (d)

57. A body at rest is moving along a horizontal straight line by a machine delivering a constant power. The
distance moved by the body in time is proportional to
(a) (b)

(c) (d)

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58. Three identical resistors with resistance and two identical inductors with self-inductance
mH are connected to an ideal battery with emf of 12 V as shown in figure. What is the current
through the battery long after the switch has been closed?

(a) 1A (b) 2A
(c) 3A (d) 4A

59. In a series - circuit and power factor of the circuit is . When capacitor with such
capacitance that is put in series, the power factor becomes . The ratio is

(a) (b)

(c) (d)

60. The atomic mass of is 12.000000 u and that of is 13.00335 u. The required energy to
remove a neutron from , if mass of neutron is 1.008665 u, will be
(a) 62.5 MeV (b) 6.25 MeV
(c) 4.95 MeV (d) 49.5 MeV

61. Two particles having masses 4 g and 16 g respectively are moving with equal kinetic energies. The
ratio of the magnitudes of their linear momentum is . The value of will be
(a) 1 (b) 2
(c) 3 (d) 4

62. An object is placed in a medium of refractive index 3. An electromagnetic wave of intensity
W/m falls normally on the object and it is absorbed completely. The radiation pressure on the object
would be (speed of light in free space m/s)
(a) (b)

(c) (d)

63. If denotes the ratio of number of nuclei decayed ( ) to the number of nuclei at ( ). Then,
for a collection of radioactive nuclei, the rate of change of with respect to time is given as ( is the
radioactive decay constant)
(a) (b)

(c) (d)

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m
m .co

c.64.o Find the magnetic field at the point in figure shown below. The curved
s e mportion is a semi-circle
m connected two long straight wires. la
se a g

m
(a) (b)

m .co
.co m
(c) (d)

s e
s em g l a
l a a
65. A small bobgtied at one end of a thin string is length 1 m is describing a vertical circle, so that the
a
maximum and minimum tension in the string are in the ratio 5:1. The velocity of the bob at the
highest position in m/s is (take, m/s )
(a) 2 m/s (b) 6 m/s
(c) 5 m/s (d) 7 m/s

66.
m
In a Young's double slit experiment, the path difference, at a certain point on the screen, between two
interfering waves is .co
th of wavelength. The ratio of the intensity at this point to that at centre of a
m
bright fringe is closed to
s e
(a)
g la (b)

(c) a (d)

67. For an ideal gas the instantaneous change in pressure with volume is given by the equation
. If at is the given boundary condition, then the maximum temperature one
mole of gas can attain is
(a) (b)
m
(c)m
c. o infinity
(d) C
m.co
m s e
s e g l a
g la a
a

m .
.co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 13 of 29

68. There are two infinite plane sheets each having uniform surface charge density C/m . They are
inclined to each other at an angle as shown in the figure. Electric field at any arbitrary point is

(a) (b)

(c) (d)

69. The point moves with a uniform speed along the circumference of a circle of radius 0.36 m and
cover in 0.1 s. The perpendicular to projection from on the diameter represents the
simple harmonic motion of . The restoration force per unit mass when touches will be

(a) 100 N (b) 50 N
(c) 9.87 N (d) 0.49 N

70. Escape velocity of a body from earth is 11.2 km/s. If the radius of a planet be one-third the radius of
earth and mass be one-sixth that of earth, the escape velocity from the planet is
(a) 11.2 km/s (b) 8.4 km/s
(c) 4.2 km/s (d) 7.9 km/s

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71. For the circuit shown, what will be the value of current at time s? Variation of is shown in
the graph.

(a) 1A (b) 2A
(c) 3A (d) 4A

72. A particle is moving with uniform speed along the circumference of a circle of radius under the
action of a central force which is inversely proportional to . Its time period of revolution will be
given by
(a) (b)

(c) (d)

73. The temperature at the junction of two insulating sheets, having thermal resistances and as
well as top and bottom temperatures and is given by

(a) (b)

(c) (d)

74. An electric appliance supplies 6000 J/min of heat to the system. If the system delivers a power of 90
W. How long it would take to increase the internal energy by J?
(a) s (b) s
(c) s (d) s

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m
m .co

c.75.o The electric field and magnetic field components of an electromagnetic
s e mwave going through vacuum is
m described by la
se a g
Then, the correct relation between and is given by
(a) (b)

(c) (d)

m
76.
m
A refrigerator consumes an average 35 W power to operate between temperature C to C. If
.co
.co
there is no loss of energy, then how much average heat per second does it transfer?
m s e m
(a) 263 J/s
s e (b) 298 J/s l a
350 J/s l a ag
ag
(c) (d) 35 J/s

77. A plane electromagnetic wave propagating in -direction is described by

The intensity of the wave is (use C N m )
(a) Wm (b) Wm
(c) Wm
. c om
(d) Wm

e m
78. Two ions having same mass have charges l
s
inathe ratio
magnetic field with their speeds in thea
g
ratio
. They are projected normally in a uniform
. The ratio of the radii of their circular trajectories is
(a) (b)

(c) (d)

79. The electric field of an electromagnetic wave in free space is represented as .
The corresponding magnetic induction vector will be
m
(a)
m (b)
.co
.co s e m
em
(c) (d)

s g l a
g la a
a 80. An alternating emf is applied to a circuit containing an inductance of H. If an
AC ammeter is connected in the circuit, its reading will be
(a) 4.4 A (b) 1.55 A
(c) 2.2 A (d) 3.11 A

m .
.co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 16 of 29

81. Two bodies of masses and are placed at a distance . The gravitational potential at a point on
the line joining them where the gravitational field is zero is
(a) (b)

(c) zero (d)

82. The instantaneous velocity of a particle moving in a straight line is given as , where
and are constants. The distance travelled by the particle between 1s and 2s is
(a) (b)

(c) (d)

83. A radioactive material decays by simultaneous emission of two particles with half-lives of 1400 years
and 700 years respectively. What will be the time after which one-third of the material remains?
(Take, )
(a) 1110 years (b) 700 years
(c) 340 years (d) 740 years

84. A solid sphere having radius and uniform charge density has a cavity of radius as shown in
figure. Find the ratio of magnitude of electric field at point and i.e.,

(a) (b)

(c) (d)

85. In an interference experiment the ratio of amplitudes of coherent waves is . The ratio of
maximum and minimum intensities of fringes will be
(a) (b)

(c) (d)

86. If the distance between the earth and the sun were half of its present value, the number of days in a
year would have been
(a) 79 (b) 179
(c) 199 (d) 129

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87. A reversible heat engine converts one-fourth of the heat input into work. When the temperature of the
sink is reduced by 52 K, its efficiency is doubled. The temperature in Kelvin of the source will be
(a) 198 K (b) 128 K
(c) 188 K (d) 208 K

88. If the radius of a nucleus of mass number 64 is 4.8 fm, then the mass number of another nucleus
having radius of 4 fm is , where is
(a) 18 (b) 24
(c) 16 (d) 27

89. Particles moves from point to point along the line shown in figure under the action of force
. Determine the work done on the particle by in moving the particle from point to
point .

(a) 1J (b) J
(c) 2J (d) 3J

90. Three charges , , are placed respectively at distance and from origin, on the -axis. If
the net force experienced by placed at is zero, then value of is
(a) (b)

(c) (d)

91.
Three moles of ideal gas with mixed with two moles of another ideal gas with

. The of mixture is (assume temperature is constant)

(a) 1.5 (b) 1.42
(c) 1.7 (d) 1.3

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m
m .co

c.92.o The temperature of 3 mole of an ideal diatomic gas is increased by semC without changing the
m pressure of the gas. The molecules in the gas rotate but do not oscillate.
la If the ratio of change in
se internal energy of the gas to the amount of work done by the a
g
gas is , then the value of
(approximately) ( J mol K )
(a) 20 (b) 25
(c) 30 (d) 35

93. A 60 HP electric motor lifts an elevator having a maximum total load capacity of 2000 kg. If the
m
.co
frictional force on the elevator is 4000 N, the speed of the elevator at full load is close to ( HP
m
.co m
W, ms )

m s e
(a) 1.9 m/s
s e (b) 1.7 m/s
l a
(c) 2 m/s
g l a (d) 1.5 m/s
ag
a
94. The relation between time and distance for a moving body is given as , where and
are constants. The retardation of the motion is
(a) (b)

(c) (d)

o m
95. In an -
c
oscillator, if values of inductance and capacitance become twice and eight times,
. becomes times its initial resonant frequency
m
respectively, then the resonant frequency of oscillator
e
. The value of is
la s
(a)
a g 16 (b)

(c) (d) 4

96. In a Young's double slit experiment, the slits are placed 0.320 mm apart. Light of wavelength
nm is incident on the slits. The total number of bright fringes that are observed in the angular range
is
m
(a)
m (b)
.co
.co
(c) (d)
s em
s em g la
g la 97. Four resistors of , , and a
a What resistance should be connected in parallel across the
are arranged in cyclic order to form a Wheatstone bridge.
resistor to balance the Wheatstone
bridge?
(a) (b)

(c) (d)

m .
.co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 19 of 29

98. Charge is distributed within a sphere of radius with a volume charge density , where
and are constants. If is the total charge of this charge distribution, the radius is
(a) (b)

(c) (d)

99. At what distance above and below the surface of the earth a body will have same weight (take, radius
of earth as )?
(a) (b)

(c) (d)

100. If 10% of intensity is passed from analyser, then the angle by which analyser should be rotated such
that transmitted intensity becomes zero (Assume no absorption by analyser and polariser)
(a) (b)

(c) (d)

Mathematics

101. If , then is equal to
(a) (b)

(c) (d)

102. The differential equation representing the family of curves , where is arbitrary
constant, is
(a) (b)

(c) (d)

103.
In a triangle , if , then is equal to

(a) zero (b)

(c) (d)

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104. The relation in the set given by , is
(a) reflexive but neither symmetric nor (b) symmetric but neither reflexive nor
transitive. transitive.
(c) transitive but neither reflexive nor (d) None of the above
symmetric.

105. An unbiased coin is tossed. If the outcome is a head, then a pair of unbiased dice is rolled and the sum
of the numbers obtained on them is noted. If the toss of the coin results in tail, then a card from a
well-shuffled pack of nine cards numbered is randomly picked and the number of the
card is noted. The probability that the noted number is either or is
(a) (b)

(c) (d)

106. The distance of the point from the line measured along a line , is
(a) (b)

(c) (d)

107.

The minimum value of , for is

(a) (b)

(c) (d)

108. Let and . The number of functions from to such that it is
onto and there are exactly three elements in such that , is
(a) (b)

(c) (d)

109. In the expansion of , the sum of even terms is and that of odd terms is , then is equal
to
(a) (b)

(c) (d)

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m
om The shortest distance between the lines .co

c.110. e m and
em l as , is

s (a) (b)
ag
(c) (d)

111. Solving , we get

(a) (b)
m
m .co
.co m
(c) (d)

s e
s em l a
112. If
g la , then the equation will have ag
(a)
a
no real solution. (b) atleast one real root in .
(c) atleast one real root in . (d) None of the above

113.
The general solution of the differential equation , is ( being an arbitrary

constant)
m
.co
(a) (b)

e m
(c)

las (d)

ag
114. Let and be non-zero complex numbers such that . Then, is

(a) purely imaginary (b) real
(c) of unit modulus (d)

115. A balloon which always remains spherical has a variable radius
m
. The rate at which its
m
volume is increasing with the radius at cm is .co
m .co
(a) (b)
s e m
s e g l a
la
(c) (d)

g a
a
116. The probabilities of and solving a problem are and respectively. If all the three try to
solve the problem simultaneously, then the probability that exactly one of them will solve it, will be
equal to
(a) (b)

(c) (d)
m .
.co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 22 of 29

117. The maximum value of subject to the constraints , ,
, is
(a) (b)

(c) (d)

118. If in an AP, and , where denotes the sum of terms of the AP, then is equal
to
(a) (b)

(c) (d)

119. If the line is the directrix of the parabola , then one of the value of is
(a) (b)

(c) (d)

120.
If is continuous at , then

(a) (b)

(c) (d)

121.

(a) (b)

(c) (d)

122. Let the points and lie on the same side of the line . Then, a value of
satisfies
(a) (b)

(c) (d)

123. The unit vector perpendicular to both and is
(a) (b)

(c) (d)

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124. The number of common chords of the parabolas and , are
(a) (b)

(c) (d)

125. The vector equation of the line , is
(a) (b)

(c) (d) None of the above

126. A unit vector in the direction of vector to , is
(a) (b)

(c) (d)

127. For the equation , if one of the root is square of the other, then is equal to
(a) (b)

(c) (d)

128. The line is rotated through an angle in the clockwise about the point . The
equation of the line in the new position is
(a) (b)

(c) (d)

129. The four straight lines and and and form a
rhombus. Then, its area is
(a) (b)

(c) (d) None of these

130.
The value of is

(a) (b)

(c) (d)

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m
om 5 students of a class have an average height .co

m
c.131. cm and variance
s em. A new student whose height
se is cm joined them. The variance (in
g lasix students, is
) of the height of these
(a) (b) a
(c) (d)

132. The mean and variance of 8 observations are and , respectively. If six of the observations are
and , then the remaining two observations are

and and
m
(a) (b)

(c) and
m (d) None of these
.co
.co s e m
s em l a
a ag
133. Consider the two sets and
.lWhich of the following is not true?
ag
(a) (b)

(c) (d)

134. A line makes the same angle , with both the -axis and -axis. If it makes angle with the -axis
such that , then equals to
(a) (b)
m
.co
em
(c) (d)

las
ag
135. For the curve , the point
(a) is a minimum. (b) is a minimum.
(c) is a maximum. (d) is a maximum.

136. If the functions and have periods and respectively, then the period of
is
m
m .co
.co m
(a) (b)

s e
em a
(c) (d)

s g l
g la 137. a
a If , then is equal to

(a) (b)

(c) (d)

m .
.co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 25 of 29

138. If the arithmetic mean of two positive numbers and is twice their geometric mean, then
is
(a) (b)

(c) (d)

139. Water runs into a conical tank at the rate . The tank stands point down and has a height of
m and a base radius of m. How fast is the water level rising when the water is m deep?
(a) (b)

(c) (d)

140. The minimum value of subject to the constraints , , ,
, is
(a) (b)

(c) (d)

141. If and , then the vector having the same magnitude as and parallel to ,
is
(a) (b)

(c) (d)

142. If and are in AP and and are also in AP, then
(a) (b)

(c) (d)

143. The area of the smaller part bounded by the semi-circle , and -axis, is
(a) (b)

(c) (d) None of these

144. The pair of straight lines joining the origin to the points of intersection of the straight line
and the curve are at right angles if
(a) (b)

(c) (d)

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145.
If in a , , then the value of is

(a) (b)

(c) (d)

146.
is equal to

(a) (b)

(c) (d)

147. A pack of cards has one card missing. Two cards are drawn randomly and are found to be spades. The
probability that the missing card is not a spade, is
(a) (b)

(c) (d)

148.
If , then equals to

(a) (b)

(c) (d)

149. If is a complex cube root of unity, then the value of is

(a) (b)

(c) (d)

150. If , then is equal to
(a) (b)

(c) (d)

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m
m .co

.co
m Answer Key s e m
se g l a
a
Chemistry (Q1–Q50)

Q.No 1 2 3 4 5 6 7 8 9 10

Ans * a c a b c b c b c

Q.No 11 12 13 14 15 16 17 18 19 20

Ans b c c a d a a d b b
m
m .co
.co
Q.No 21 22 23 24 25 26 27 28 29 30

e m
Ans a
em c b a b b b b c
l a
ds
Q.No
l
31
as 32 33 34 35 36 37 38 39
ag 40

Ans ag d b a c d d a d c d

Q.No 41 42 43 44 45 46 47 48 49 50

Ans a a a d c a d b b c

Physics (Q51–Q100)

om
Q.No 51 52 53 54 55 56 57 58 59 60

. c
m
Ans c d c d c d a c b c

s e
la
Q.No 61 62 63 64 65 66 67 68 69 70

Ans a d c
ag c c b a a c d

Q.No 71 72 73 74 75 76 77 78 79 80

Ans a b a a a a b b b c

Q.No 81 82 83 84 85 86 87 88 89 90

Ans b b d c c d d d a d

Q.No 91 92 93 94 95 96 97 98 99 100

c om
om .
Ans b b a a a d b b d b

. c e m
e m l as
las ag
ag

m .
.co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 28 of 29

Mathematics (Q101–Q150)

Q.No 101 102 103 104 105 106 107 108 109 110

Ans d b b a c c d c c a

Q.No 111 112 113 114 115 116 117 118 119 120

Ans c b d b c d b c b a

Q.No 121 122 123 124 125 126 127 128 129 130

Ans d b d d c d c c a c

Q.No 131 132 133 134 135 136 137 138 139 140

Ans b a b c b d a a b a

Q.No 141 142 143 144 145 146 147 148 149 150

Ans d a b d a b c a a a

(*) = None of the given options is correct in the official key.

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