AMUEEE 2025 Question Paper with Answer Key

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AMUEEE 2025
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AMUEEE 2025 Question Paper Answer Key

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m .co AMUEEE 2025 la s e m
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AMU Engineering Entrance Exam Solved

Total Questions: 100 • Chemistry, Physics & Mathematics

Chemistry

1. For a binary solution exhibiting negative deviation from Raoult's law, which is the following set of condition is true (all symbols have
their as usual meaning)?
m
m .co
(a) (ideal), (ideal), (b) (ideal), (ideal),

.co m
(ideal) (ideal)
(c)
m
(ideal), (ideal), (d) (ideal), (ideal),
s e
s e (ideal) (ideal)
l a
g l a ag
2.
a
Identify ' ' and ' ' in the above reaction.
(a) and (b) and
(c) and (d) and

3.
For a van der Waals' gas, the term represents

(a) pressure (b) molar mass
m
.co
(c) energy (d) critical density

e m
4. The reaction,

las
g
has an equilibrium constant at 25°C. The (at 25°C) for the cell

(a) 2.714 V
is
a (b) 1.357 V
(c) 0.312 V (d) 1.56 V

5. The increasing order of stability of the following free radical is
(a) (b)

(c) (d)

m
m .co
m .co s e m
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 1 of 14

6. Identify ' ' in the following reaction,

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

7. Which of the following sets of quantum numbers represents the 19th electron of Cr ( )?
(a) (b)

(c) (d)

8. Consider the following reaction,

What is the oxidation number of sulphur in ' '?
(a) (b)

(c) (d)

9. Identify ' ' in the following reaction:

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

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10. The correct trend of physical properties of halogen molecules is
(a) melting point — (b) boiling point —
(c) density — (d) bond dissociation enthalpy —

11. The pair of complexes which shows the optical activity is
(a) cis- , cis- (b) cis- , trans-
(c) trans- , cis- (d) trans- , trans-

12. In a first order decomposition reaction, initial concentration of reactant is ' ' and after time ' ' it reduces to . Also, the plot of '
versus is a straight line with negative slope, then which of the following is independent of (' is the rate of constant at
temperature )
(a) rate of reaction (b)

(c) (activation energy) (d) (half-life of reactant)

13. Which of the following ligands represents the correct order of their field strength?
(a) (b)

(c) (d)

14. If NaCl is doped with mol% of , the concentration of cation valencies is
(a) (b)

(c) (d)

15. The total concentration of dissolved particles inside red blood cells is approximately 0.30 M, and the membrane surrounding the cell is
semipermeable. What would be the osmotic pressure (in atm) inside the cells become if the cells were removed from blood plasma and
placed in pure water at 298 K?
(a) 147.2 atm (b) 1.77 atm
(c) 743.3 atm (d) 7.3 atm

16. Synthetic polymer prepared by using caprolactam is known as
(a) terylene (b) teflon
(c) nylon-6 (d) neoprene

17. Which of the following hydrides is strongest reducing agent?
(a) (b)

(c) (d)

18. Which of the following is used for preparing phenyl isocyanide?
(a) Rosenmund's reduction (b) Carbylamine reaction
(c) Wurtz reaction (d) Reimer-Tiemann reaction

19. The and in the following sequence of reactions are respectively

(a) ethanol and alcoholic KOH (b) methanol and bromoethane
(c) ethylhydrogen sulphate and alcoholic KOH (d) ethylhydrogen sulphate and aqueous KOH

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20. The specific conductance of pure water at a certain temperature was found to be ohm cm . Find the pH of water at this

s
temperature if ohm cm and ohm cm .
g l a
(a)

(c)
6.32
6.48
(b)

(d)
7.15
6.96
a
21. The property which establishes as an important criterion of purity for a newly synthesised organic compound is
(a) density (b) melting point
(c) solubility in aqueous medium (d) amorphous nature

22. Which of the following is least thermally stable?
m
(a)
m (b)
.co
(c)

m.co (d)

s e m
s e l a
23.
cm s )
g l a
Calculate the pressure exerted by gas molecules, each of mass
ag
g in a container of volume one litre. (The R.M.S. speed is

(a) a
Nm (b) dyne cm
(c) dyne cm (d) dyne cm

24. DNA does not contain
(a) Thymine (b) Guanine
(c) Adenine (d) Uracil

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.co
25. The heat of neutralisation of a strong base and strong acid is 13.7 kcal. The heat released when 0.6 mole HCl solution is added to 0.25
mole of NaOH is
(a) 13.7 kcal
s em (b) 8.22 kcal
(c) 3.425 kcal
g la (d) 11.645 kcal

26.
a
The correct order for the following complexes on the basis of decreasing ' ' value is
(a) (b)

(c) (d)

27. The boiling point of water, ethyl alcohol and diethyl ether are 100°C, 78.5°C and 34.6°C respectively. The intermolecular forces will be
in order

m
(a) water > ethyl alcohol > diethyl ether (b) diethyl ether > ethyl alcohol > water

.co
ethyl alcohol > water > diethyl ether diethyl ether > water > ethyl alcohol
m
(c) (d)

m .co s e m
s e
28. Which of the following pair of lanthanoid elements is diamagnetic?

g l a
la
and and
a
(a) (b)

ag (c) and (d) and

29. Solubility product of a salt is . In a solution in which concentration of is M, will precipitate when the
concentration of will be
(a) M (b) M
(c) M (d) M

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 14

30. Consider the following reaction:

(i) — —

(ii) — —

Select correct among the following.
(a) Racemisation in both (i) and (ii) (b) Retention in both (i) and (ii)
(c) Inversion in both (i) and (ii) (d) Racemisation in (i) and inversion in (ii)

31. Coloured ion is
(a) (b)

(c) (d)

32. Given, kJ
kJ
The heat of formation of carbon monoxide (CO) is
(a) (b)
kJ kJ
(c) kJ (d) kJ

33. The number of lone pair of electron on the central atoms of , , and respectively are
(a) 2, 1, 1, 3 (b) 2, 2, 1, 3
(c) 3, 1, 1, 2 (d) 2, 1, 2, 3

Physics

34. A train is moving towards a stationary observer with a speed of m/s. The train blows a whistle of frequency Hz. If the speed of
sound in air is m/s, the frequency heard by the observer is
(a) kHz (b) kHz
(c) kHz (d) Hz

35. In an AC circuit, voltage and current are given by V and mA respectively. The average
power dissipated in one cycle is
(a) W (b) W
(c) W (d) W

36. A metal has three electrons in its outer shell. The cut-off wavelength of the metal is nm. The work function of the metal is

(a) eV (b) eV
(c) eV (d) eV

37. The mean free path for a gas, with molecular diameter and number density can be expressed as
(a) (b)

(c) (d)

38. A force N acts at a point m. The magnitude of the torque will be
(a) N.m (b) N.m
(c) N.m (d)

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39. The magnetic field, due to a current in a straight wire segment of length , at a point on its perpendicular bisector at a distance
,
(a) decreases as (b) decreases as
(c) decreases as (d) decreases as

40. An air bubble of radius cm lies at a depth of cm below the free surface of a liquid of density . If the pressure inside
the bubble is greater than the atmospheric pressure, then the surface tension of the liquid in SI unit is (use m/s)
(a) (b)

(c) (d)

41. Which of the following has highest proton to neutron ratio?
(a) (b)

(c) (d)

42. Six wires each of resistance are connected, so as to form a tetrahedron. The equivalent resistance of the combination when current
enters through one corner and leaves through some other corner is
(a) (b)

(c) (d)

43. Davisson–Germer experiment demonstrate
(a) wave like behaviour of elementary particles (b) particle like behaviour of stationary wave
(c) quantum teleportation (d) artificial intelligence of things

44. The ratio of the dimensions of Planck's constant to that of angular momentum is
(a) (b)

(c) Dimensionless (d)

45. A body with a mass of 10 kg is initially at rest. A force of 100 N is applied to it for 10 seconds. What will be the resulting maximum
kinetic energy?
(a) Joule (b) Joule
(c) Joule (d) Joule

46. A stationary bomb of mass explodes into two fragments of masses and , moving in opposite directions without acceleration.
If the speed of the first fragment is , after time, the distance travelled by the second fragment is
(a) (b)

(c) (d)

47. A star is situated seven light years away from an observer on the Earth. It contracts due to gravitational collapse (mass remains the
same) symmetrically, reducing its radius to one-seventh of its original value. If its initial angular speed is , the new angular speed is
(a) (b)

(c) (d)

48. The relation between the polarising angle and the critical angle is
(a) (b)

(c) (d)

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49. An electromagnetic wave is travelling in a vacuum. If the magnitude of the electric field is
s e m
V/m, the magnitude of the

se
corresponding magnetic field is
g l a
(a)

(c)
T
T
(b)

(d)
a T

50. Two planets have the same average density, but their radii are and . If acceleration due to gravity on these planets is and
respectively, then
(a) (b)

(c) (d)

m
51.
m
A satellite is revolving in a stable circular orbit of radius and time period is . If orbital radius of another satellite is , then the
.co
.co e m
percentage change in time period of the second satellite as compared to the first will be
(a)
em (b)

l as
(c)

l as (d)

ag
52. ag
The electric field in a region is given by . The electric potential at a function of (at , ) is
(a) (b) , where constant
(c) , where constant (d)

53. The percentage errors in the measurement of mass and speed are 2% and 3% respectively. How much will be the maximum error in the
estimation of the kinetic energy?
(a) 6% (b) 8%

m
c. o
(c) 10% (d) 12%

e m
s
54. For which combination of working temperature the efficiency of Carnot's engine is highest
(a) K, K
g la (b) K, K
(c) K, K
a (d) K, K

55. The velocity vs time graph of a particle moving along X-axis is shown below. The distance travelled by the particle in the interval
s to s is

m
m .co
.co 20 m 30 m
e m
(a) (b)

e m (c) 40 m (d) 50 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 7 of 14

56. A force acts on a particle such that its position changes as shown in the figure below. The work done by the particle as it moves
from to m is

(a) 37.5 J (b) 15 J
(c) 22.5 J (d) 45 J

57. A current of ampere flows in a wire forming a circular arc of radius metres subtending an angle at the centre as shown in the
figure below. The magnetic field at the centre in tesla is

(a) (b)

(c) (d)

58. When the frequency, of the AC voltage applied to a series LCR circuit is gradually increased from a low value below resonance
frequency, the impedance of the circuit will
(a) monotonically increases (b) first increases and then decreases
(c) first decreases and then increases (d) monotonically decreases

59. A wire has resistance at and at . The temperature coefficient of the resistance is
(a) per degree Celsius (b) per degree Kelvin
(c) per degree Celsius (d) per degree Celsius

60. A single slit of width mm is illuminated by light of wavelength nm. The angular width and nature of the central maximum will
be
(a) ; invisible to the naked eye (b) ; invisible to the naked eye
(c) ; visible to the naked eye (d) ; visible to the naked eye

61. If a capillary tube is dipped in water, the water rises to a height of . If the tube, which initially measured in length is cut to half of
its length. What will be the new height of the water?
(a) (b)

(c) (d)

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62. Two parallel plate air capacitors of same capacity are connected in series to a battery of e.m.f. . Then one of the capacitors is
completely filled with dielectric material of constant . The change in the effective capacity of the series combination is
(a) (b)

(c) (d)

63. What is the current through Zener diode for the circuit shown in the figure below? (Given, Zener break-down voltage V)

(a) 7 mA (b) 15 mA
(c) 17 mA (d) 10 mA

64. The particle shown in the figure given below is just able to complete the vertical circular motion. What is the ratio of kinetic energy at
to the kinetic energy at ?

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

65. The mass of proton, neutron and helium nucleus are respectively 1.0073 u, 1.0087 u and 4.0015 u. The binding energy of helium
nucleus is
(a) 14.2 MeV (b) 56.8 MeV
(c) 28.4 MeV (d) 7.1 MeV

66. Temperature of an ideal gas, initially at , is raised by . The R.M.S velocity of the gas molecules will
(a) increase by nearly (b) decrease by nearly
(c) increase by nearly (d) decrease by nearly

Mathematics

67. Let be given by for all . If is everywhere differentiable and ,
then
(a) (b)

(c) (d)

68. Let . The number of non-empty subset of such that the product of elements in is even is
(a) (b)

(c) (d)

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69.
s e m
From a group of 10 teachers and 5 students, four member committees and to be formed each of which must contain at least one

se
student. Then, probability for these committees to have more students than teachers is
g l a
(a)

(c)
(b)

(d)
a
70. The value of is
(a) (b)

(c) (d)

71. Let be in GP. If , then equals
m
m .co
.co
(a) (b)

e m
s
(c) (d)

e m l a
72.
l as ag
(a) ag
The distance between the lines and

(b)
, where , is

(c) (d)

73. Let and be the roots of equation . If , for , then the value of is

(a) (b)

m
(c) (d)

m .co
74.
If , then the value of
s e
at the point is

(a)
g la (b)

(c) a (d)

75. Let , where and . Then, equals

(a) (b)

(c) (d)

m
76.
m .co
.co
Domain of definition of the function is

e m
e m
(a) (b)

l as
las (c) (d)

ag
ag 77. If is divided by , then the remainder is
(a) (b)

(c) (d)

78. If the tangent to the curve , at a point on it is parallel to the line ,
then
(a) (b)

m .
c. o
(c) (d)

e m
em l as
las ag
ag For more Question Papers, Sample Papers, Notes & Syllabus visit Page 10 of 14

79. If is a matrix such that , then is equal to
(a) (b)

(c) (d)

80.

If and , then is equal to

(a) (b)

(c) (d)

81. An unbiased coin is tossed six times. The probability of obtaining at least one head and at least one tail is
(a) (b)

(c) (d)

82.
If , then the value of is

(a) (b)

(c) (d)

83. Angle between the line and the plane is

(a) (b)

(c) (d)

84. The area bounded between the parabolas and and the straight line is

(a) (b)

(c) (d)

85. The eccentricity of the ellipse is
(a) (b)

(c) (d)

86. The value of for which the four points with position vectors , , , are
coplanar is
(a) (b)

(c) (d)

87.
The value of is

(a) (b)

(c) (d)

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88.
The value of the integral is

(a) (b)

(c) (d) None of these

89. The unit vector which is orthogonal to the vector and coplanar with vectors and is
(a) (b)

(c) (d)

90.
The value of is equal to

(a) (b)

(c) (d)

91. The area of the region enclosed by the curves , , and the positive -axis is

(a)
sq units
(b) sq unit

(c) (d)
sq units sq units

92. The greatest value of on is
(a) (b)

(c) (d)

93.
If the coefficient of in equals the coefficient of in , then and satisfy the relation

(a) (b)

(c) (d)

94. A plane passes through three points with position vectors , respectively. The equation of the line passing
through the point with position vector and normal to the plane is
(a) , where (b) , where
(c) (d)

95. Let , , . If is continuous in , then is

(a) (b)

(c) (d)

96. The distance of the line from the point measured along the line making an angle of with the positive -
axis will be
(a) units (b) units
(c) units (d) units

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97.
s e m
se
If , and and , then
l a
is equal to

g
(a) (b) a
(c) [not clearly legible in source image] (d) [not clearly legible in source image]

98. The solution of the differential equation is

(a) (b)

m
(c) (d)

m .co
.co e m
99. If , then the value of is
(a)
e m (b)

l as
(c)
l as (d)
ag
ag
100. Let and . If , then is equal to
(a) (b)

(c) (d)

m
Answer Key
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Chemistry (Q1–Q33)
g la
Q.No 1 2 3 a 4 5 6 7 8 9 10

Ans d a c b a d c c c d

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

Ans a c d b d c b b a d

Q.No 21 22 23 24 25 26 27 28 29 30

Ans b a d d b b a b * d

m
Q.No 31 32 33

m .co
Ans d c a

m .co s e m
s e
Physics (Q34–Q66)

g l a
g la Q.No 34 35 36 37 38 39
a
40 41 42 43

a Ans

Q.No
a

44
b

45
b

46 47
c a

48
b

49
d

50
a,b

51
d

52
a

53

Ans c d d c c c a d a b

Q.No 54 55 56 57 58 59 60 61 62 63

Ans d b d a c a a b a d

Q.No 64 65 66

Ans d c c

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 14

Mathematics (Q67–Q100)

Q.No 67 68 69 70 71 72 73 74 75 76

Ans b d d a b b a a d d

Q.No 77 78 79 80 81 82 83 84 85 86

Ans b b d c c c c b c c

Q.No 87 88 89 90 91 92 93 94 95 96

Ans c c a b c b a a c b

Q.No 97 98 99 100

Ans a c b c

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

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