JEE ADVANCED TYPE 3 - Start Exam

0 votes, 0 avg

Timer Started ✅ (JEE Advanced Practice Test)
This is for practice + time management.
Negative marking applies (–1) in this mock test, so avoid blind guessing.
Stay calm and attempt smartly. ✅

Time Over ⏳
Your responses have been submitted automatically.
Now review solutions, note mistakes, and revise weak topics to improve your score. ✅

JEE ADVANCED TYPE 3

Please fill your details to access the mock test

Provide your correct Name, Mobile Number, City, and Email ID to receive
new mock test updates, rank analysis, and important exam notifications.

🔒 Your data is 100% safe. We never share your information with anyone.
It will be used only to inform you about new test releases and result updates.

1 / 108

1. Distance between (1,2) and (7,10) is

2 / 108

2. Two capacitors 4 μF and 5 μF in parallel have equivalent (μF)

3 / 108

3. Match probability term with meaning.

1. Mutually exclusive

2. Independent events

3. Complement

4 / 108

4. For ideal solutions, Raoult’s law states

1) ΔHmix always positive

2) p_i independent of x_i

3) Applies only to solids

4) p_i = x_i p_i°

5 / 108

5. Match geometry item with formula.

1. Circle area

2. Rectangle area

3. Triangle area

6 / 108

6. Select all correct statements about buffers (Set-03):

1) Henderson equation relates pH, pKa and ratio.

2) Buffer keeps pH constant for any amount of acid/base.

3) Buffer contains weak acid and its conjugate base.

4) Buffer resists pH change for small additions.

7 / 108

7. An LC circuit has L=0.15 H and C=4 μF. Resonant frequency (Hz) is closest to

1) 411.0

2) 102.8

3) 205.5

4) 0

8 / 108

8. pH of 1×10^-3 M HCl (strong acid) is

9 / 108

9. Select all correct statements about waves (Set-03):

1) Sound in air is longitudinal.

2) v=fλ

3) Frequency changes when wave enters another medium.

4) Wavelength changes when speed changes (frequency fixed).

10 / 108

10. Match acid-base term with definition.

1. Lewis acid

2. Lewis base

3. Brønsted acid

11 / 108

11. Work done by centripetal force in uniform circular motion over any displacement is

1) Zero

2) Positive

3) Depends on mass

4) Negative

12 / 108

12. Area of triangle with vertices (0,0),(6,0),(0,4) is

1) 24

2) 6

3) 8

4) 12

13 / 108

13. Match colligative property with effect.

1. Osmotic pressure

2. Boiling point elevation

3. Freezing point depression

14 / 108

14. Select all correct statements about circuits (Set-03):

1) In parallel, voltage is same across branches.

2) Equivalent resistance of parallel is greater than each resistor.

3) Power dissipated in resistor is I^2R.

4) In series, current is same in each element.

15 / 108

15. log10(10^5)=x, then x is

1) 0

2) 1

3) 10

4) 5

16 / 108

16. Conjugate base of H2CO3 is

1) H3CO3+

2) H2CO3−

3) CO3^2−

4) HCO3−

17 / 108

17. Select all correct statements about aromaticity (Set-03):

1) Aromatic systems are planar.

2) Cyclobutadiene is aromatic.

3) Aromatic species are necessarily neutral.

4) Aromatic systems follow (4n+2)π rule.

18 / 108

18. Select all correct statements about trigonometry (Set-03):

1) sin^2θ+cos^2θ=1

2) sin2θ=sinθ+cosθ

3) tanθ=sinθ/cosθ

4) cos2θ=cos^2θ−sin^2θ

19 / 108

19. If det(A)=0 for a square matrix A, then A is

1) Identity

2) Singular

3) Orthogonal

4) Diagonal

20 / 108

20. A charged particle moves with velocity parallel to a uniform magnetic field. Magnetic force on it is

1) Always non-zero

2) Depends on charge only

3) Zero

4) Maximum

21 / 108

21. When light enters a medium with higher refractive index, its

1) Speed decreases and wavelength decreases; frequency unchanged

2) Frequency increases

3) Frequency decreases

4) Speed increases and wavelength increases

22 / 108

22. A charge 2 μC at potential 50 V has potential energy (in μJ)

23 / 108

23. Select all correct statements about coordination compounds (Set-03):

1) Coordination number equals donor atoms bonded.

2) Octahedral complexes cannot show geometrical isomerism.

3) Square planar often involves dsp2 hybridization.

4) Ligands may be neutral/anionic.

24 / 108

24. Match (List-I) with dimensional formula (List-II).

1. Energy

2. Pressure

3. Charge

25 / 108

25. For normal incidence on a plane mirror, the angle of reflection is

1) 0°

2) 45°

3) 180°

4) 90°

26 / 108

26. Compute 10C3.

27 / 108

27. Magnitude of vector (2,1,2) is

28 / 108

28. Select all correct statements about permutations (Set-03):

1) Permutations of n objects is n!.

2) nPr=n!/(n−r)!

3) nPr=nCr always.

4) nC0=1

29 / 108

29. Total internal reflection occurs when light goes from denser to rarer medium and

1) Angle of incidence is greater than critical angle

2) Angle of refraction is zero always

3) Refractive index of denser medium is smaller

4) Angle of incidence is less than critical angle

30 / 108

30. Select all correct statements about probability (Set-03):

1) P(A∩B)≤P(A)

2) If A⊆B then P(A)≤P(B)

3) P(A∪B)=P(A)+P(B)+P(A∩B)

4) P(∅)=0

31 / 108

31. Select all correct statements about gases (Set-03):

1) PV=nRT

2) At constant T, P inversely proportional to V.

3) At constant P, V inversely proportional to T.

4) At constant V, P proportional to T.

32 / 108

32. [Fallback-8] Evaluate (2+8)^2.

33 / 108

33. lim_{x→0} (sin x)/x is

34 / 108

34. Sigma bonds in benzene (C6H6) are

1) 9

2) 12

3) 18

4) 6

35 / 108

35. If Kc=9 for A⇌B, then Kc for B⇌A is

36 / 108

36. Select all correct statements about continuity (Set-03):

1) Continuity implies limit equals function value.

2) Continuity implies differentiability.

3) If LHL=RHL, limit exists.

4) Polynomials are continuous everywhere.

37 / 108

37. If P(A)=0.25, then P(A^c) is

38 / 108

38. A mass 2 kg attached to a spring of constant 320 N/m performs SHM. Time period (s) is

1) 79.477

2) 0.994

3) 0.497

4) 0.248

39 / 108

39. If x=3, evaluate 4x^2.

40 / 108

40. Select all correct statements about kinetics (Set-03):

1) Higher activation energy generally lowers rate at given T.

2) Rate law is experimental.

3) Order can be fractional.

4) Molecularity can be fractional.

41 / 108

41. If z=5−12i, then |z| equals

1) 17

2) 7

3) 13

4) 144

42 / 108

42. Select all correct statements about matrices (Set-03):

1) AB=BA implies A=B

2) det(AB)=det(A)det(B)

3) det(I)=1

4) det(A)≠0 implies invertible

43 / 108

43. Value of 6! is

1) 360

2) 720

3) 120

4) 1440

44 / 108

44. Mechanism of CH3Br + OH− → CH3OH + Br− is

1) SN2

2) SN1

3) E2

4) E1

45 / 108

45. Colligative properties depend on

1) Number of solute particles

2) Nature of solute only

3) Solvent identity only

4) Pressure only

46 / 108

46. For a first-order reaction, the unit of rate constant is

1) mol L^-1 s^-1

2) s^-1

3) L mol^-1 s^-1

4) dimensionless

47 / 108

47. Number of subsets of a set with 6 elements is

1) 36

2) 64

3) 12

4) 32

48 / 108

48. Atoms per unit cell in BCC is

49 / 108

49. In photoelectric effect, maximum kinetic energy of photoelectrons depends on

1) Frequency of incident light

2) Intensity only

3) Temperature only

4) Surface area only

50 / 108

50. If cosθ=1, θ could be

1) 0

2) π/2

3) π/3

4) π/4

51 / 108

51. Sum of first 15 terms of AP with a=3 and d=2 is

1) 240

2) 255

3) 30

4) 210

52 / 108

52. If t1/2=200 s (first order), k=0.693/t1/2 (s^-1) is

53 / 108

53. Match lattice with atoms per unit cell.

1. SC

2. FCC

3. BCC

54 / 108

54. In an isolated system, during any collision, which quantity is always conserved?

1) Linear momentum

2) Kinetic energy

3) Mechanical energy always

4) Speed of each body

55 / 108

55. A circuit draws current 3.2 A from a 24 V source. Equivalent resistance (Ω) is

1) 76.8

2) 7.5

3) 0.133

4) 9.5

56 / 108

56. A resistor 10 Ω carries 2 A. Voltage (V) is

57 / 108

57. Highest lattice energy among the following is

1) KBr

2) CsI

3) MgO

4) NaCl

58 / 108

58. Match quantity with SI unit.

1. Charge

2. Magnetic flux

3. Power

59 / 108

59. Tollens’ test is positive for

1) HCHO

2) CH3COCH3

3) CH3COOH

4) Benzene

60 / 108

60. If u=−20 cm and v=40 cm, focal length f (cm) from 1/f=1/v−1/u

61 / 108

61. determinant of [[2,1],[5,3]] is

62 / 108

62. Match phenomenon with law.

1. Refraction

2. Reflection

3. Induction

63 / 108

63. Oxidizing agent is the species that

1) Loses electrons

2) Gets oxidized

3) Gets reduced

4) Always has oxygen

64 / 108

64. Select all correct statements about redox (Set-03):

1) Oxidizing agent is reduced.

2) Oxidation is loss of electrons.

3) Reduction is gain of electrons.

4) Reducing agent is reduced.

65 / 108

65. Select all correct statements about optics (Set-03):

1) Refractive index n=c/v.

2) Critical angle exists only when light goes from denser to rarer.

3) Frequency of light remains unchanged during refraction.

4) TIR can occur for any incidence angle.

66 / 108

66. If P(A)=0.7, then P(A^c) equals

1) 0.3

2) 0

3) 1.7

4) 0.7

67 / 108

67. A projectile is fired with speed 28 m/s at angle 40°. (g=9.8 m/s²). Find its range (m).

1) 78.78

2) 157.56

3) 39.39

4) 80.0

68 / 108

68. Select all correct statements about integration (Set-03):

1) ∫1/x dx = 1/x + C

2) ∫(f+g)=∫f+∫g

3) ∫(cf)=c∫f

4) ∫0 dx = C

69 / 108

69. For vectors a=(1,2,0), b=(2,0,1), the dot product a·b equals

1) 3

2) 2

3) 4

4) 1

70 / 108

70. A wave of frequency 250 Hz and wavelength 1.2 m has speed (m/s)

71 / 108

71. Select all correct statements about coordinate geometry (Set-03):

1) Midpoint formula averages coordinates

2) Distance formula uses √[(Δx)^2+(Δy)^2]

3) Slope of vertical line is 0

4) Slope of horizontal line is 0

72 / 108

72. A mass 5 kg moves at 4 m/s. Kinetic energy (J) is

73 / 108

73. Derivative of (sin x) is

1) sin x

2) cos x

3) −sin x

4) −cos x

74 / 108

74. Match condition with statement.

1. TIR

2. Resonance (LC)

3. Centripetal acceleration

75 / 108

75. Select all correct statements about vectors (Set-03):

1) Cross product is vector.

2) Dot product is scalar.

3) If a ∥ b then a×b=0

4) a×b=b×a.

76 / 108

76. Ozonolysis of alkenes uses

1) O3 then Zn/H2O

2) LiAlH4

3) H2/Pd

4) NaBH4

77 / 108

77. 0.75 mol of substance with molar mass 80 g/mol has mass (g)

1) 80

2) 6

3) 600

4) 60

78 / 108

78. Moles in 22 g CO2 (M=44 g/mol) is

79 / 108

79. Select all correct statements about magnetic force (Set-03):

1) Magnetic force is q(v×B).

2) Magnetic force can do work and change speed always.

3) If v ∥ B, force is zero.

4) If v ⟂ B, force magnitude is qvB.

80 / 108

80. Strong electrolyte in water is

1) Glucose

2) CH3COOH

3) NaNO3

4) NH4OH

81 / 108

81. In uniform circular motion with constant speed, which statement is correct?

1) Acceleration is non-zero and directed toward center

2) Speed necessarily changes

3) Velocity is constant

4) Acceleration is zero

82 / 108

82. Slope of line 2x−y+3=0 is

1) −1/2

2) 1/2

3) 2

4) −2

83 / 108

83. Which acts as a Lewis acid?

1) Cl−

2) BF3

3) NH3

4) OH−

84 / 108

84. A parallel-plate capacitor remains connected to a battery. On inserting a dielectric fully, the charge on capacitor

1) Increases

2) Decreases

3) Becomes zero

4) Remains same

85 / 108

85. Molarity for 1 mol solute in 4 L is

86 / 108

86. ∫ 3x^2 dx equals

1) x^2 + C

2) 3x + C

3) x^3 + C

4) ln x + C

87 / 108

87. Select all correct statements about EMI (Set-03):

1) Changing area of loop can induce emf.

2) Induced emf depends on rate of change of flux.

3) Induced current supports the change in flux.

4) Lenz’s law gives direction of induced current.

88 / 108

88. For ideal gas at constant volume, pressure is directly proportional to

1) Density only

2) Absolute temperature

3) Molar mass

4) Volume

89 / 108

89. Number of π bonds in benzene is

90 / 108

90. If two resistors 6Ω and 3Ω are in parallel, equivalent resistance is

1) 1 Ω

2) 9 Ω

3) 2 Ω

4) 4.5 Ω

91 / 108

91. Match trig identity.

1. 1+cot^2θ

2. 1+tan^2θ

3. sin^2θ+cos^2θ

92 / 108

92. If f(x)=2x+1, then f(−4) equals

1) −7

2) 7

3) −9

4) 9

93 / 108

93. If GP has a=2, r=3, the 4th term is

94 / 108

94. Select all correct statements about SHM (Set-03):

1) At mean position acceleration is zero.

2) a and x are opposite in direction in SHM.

3) At extreme position acceleration magnitude is maximum.

4) At extreme position speed is maximum.

95 / 108

95. Work done in lifting 80 N weight by 1.5 m (J)

96 / 108

96. Select all correct statements about periodicity (Set-03):

1) Electronegativity increases down a group.

2) Effective nuclear charge increases across a period.

3) Atomic radius increases down a group.

4) Ionization energy decreases down a group.

97 / 108

97. Select all correct statements about electrostatics (Set-03):

1) Electric field is conservative in electrostatics.

2) For a capacitor, Q ∝ V.

3) Capacitance depends on charge stored only.

4) Potential difference is path independent.

98 / 108

98. Geometry of XeF4 is

1) Trigonal bipyramidal

2) Tetrahedral

3) Linear

4) Square planar

99 / 108

99. Match test with compound class.

1. Bromine water

2. Tollens

3. Iodoform

100 / 108

100. Aromatic species is

1) COT

2) C5H5−

3) C5H5+

4) Cyclobutadiene

101 / 108

101. Match function with inverse (domain restricted).

1. x^2 (x≥0)

2. 3x

3. x+5

102 / 108

102. Number of real roots of x^2+4x+5=0 is

1) 1

2) Infinite

3) 2

4) 0

103 / 108

103. Complex showing cis-trans isomerism is

1) [Co(NH3)6]3+

2) [Pt(NH3)2Cl2]

3) [Ni(CO)4]

4) [Fe(CN)6]4−

104 / 108

104. If N=150, ΔΦ=0.06 Wb in 0.02 s, induced emf (V)

105 / 108

105. Select all correct statements about solutions (Set-03):

1) Molarity depends on temperature.

2) Vapour pressure lowering is colligative.

3) Ideal solution has large ΔHmix.

4) Molality is temperature independent.

106 / 108

106. Select all correct statements about momentum (Set-03):

1) Momentum is always conserved even with external forces.

2) Momentum is a vector.

3) In isolated system, momentum is conserved.

4) Impulse equals change in momentum.

107 / 108

107. Remainder when 37^2 is divided by 9 is

1) 3

2) 1

3) 2

4) 4

108 / 108

108. A loop of area 0.08 m² is in a magnetic field increasing at 1.1 T/s. Induced emf (V) is

1) 0.044

2) 0.088

3) 13.75

4) 0.176

The average score is 0%

Rate this mock test

Thank you for your feedback.

Report a question

Please fill your details to access the mock test

Leave a Comment Cancel Reply