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Friday, 9 October

JEE Main 2025 · April session

JEE Main 2 April 2025, Shift 2

75 questions: 15 numerical-answer and 60 multiple choice. 6 were rated hard and 23 easy. By hard questions it ranks 7th of the 8 2025 shifts Lumi analysed. The biggest chapter was Organic Chemistry: Some Basic Principles and Techniques, with 4 questions.

Questions
75
none dropped
Numerical answer
15
20% of the shift
Hard
6
8% of the shift
Chapters asked
56
15 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
25 Q · 5 numerical
Easy 13Medium 12Hard 0

Top chapters

Chemistry
25 Q · 5 numerical
Easy 6Medium 17Hard 2

Top chapters

Maths
25 Q · 5 numerical
Easy 4Medium 17Hard 4

Top chapters

Question format
  • Single correct46 Q
  • Numerical value15 Q
  • Diagram based5 Q
  • Other4 Q
  • Match the list3 Q
  • Assertion–reason1 Q
  • Two statements1 Q
What each question asks you to do
  • Multi-step25 Q
  • Calculation17 Q
  • Application16 Q
  • Conceptual8 Q
  • Recall5 Q
  • Diagram reading2 Q
  • Data or graph2 Q

Most common: Multi-step.

Every question

All 75 questions, with answers

Open a question for the full text, options, the official answer and the same idea in other shifts.

Physics Q26–50

  1. Q26Match List - I with List - II. List - I (A) Heat capacity of body (B) Specific heat capacity of body (C) Latent heat (D) Thermal conductivity List -…EasyThermal Properties of Matter
  2. Q27Given a charge qq, current II and permeability of vacuum μ0\mu_0. Which of the following quantity has the dimension of momentum ?MediumUnits and Measurements
  3. Q28The moment of inertia of a circular ring of mass MM and diameter rr about a tangential axis lying in the plane of the ring is :EasySystem of Particles and Rotational Motion
  4. Q29A body of mass 1 kg is suspended with the help of two strings making angles as shown in figure. Magnitudes of tensions T1T_1 and T2T_2,…EasyLaws of Motion
  5. Q30A sportsman runs around a circular track of radius rr such that he traverses the path ABAB. The distance travelled and displacement, respectively,…EasyMotion in a Straight Line
  6. Q31Two water drops each of radius rr coalesce to form a bigger drop. If TT is the surface tension, the surface energy released in this process is :EasyMechanical Properties of Fluids
  7. Q32Identify the characteristics of an adiabatic process in a monoatomic gas. (A) Internal energy is constant. (B) Work done in the process is equal to…MediumThermodynamics
  8. Q33An electron with mass mm with an initial velocity (t=0)(t=0) v⃗=v0i^\vec{v} = v_0\hat{i} (v0>0)(v_0 > 0) enters a magnetic field B⃗=B0j^\vec{B} = B_0\hat{j}. If the…MediumDual Nature of Radiation and Matter
  9. Q34A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the xx-direction in 0.3 sec. The crest P is at x=0x = 0 at t=0t = 0 sec and…MediumWaves
  10. Q35If μ0\mu_0 and ϵ0\epsilon_0 are the permeability and permittivity of free space, respectively, then the dimension of…EasyUnits and Measurements
  11. Q36Two identical objects are placed in front of convex mirror and concave mirror having same radii of curvature of 12 cm, at same distance of 18 cm…MediumRay Optics and Optical Instruments
  12. Q37A bi-convex lens has radius of curvature of both the surfaces same as 1/61/6 cm. If this lens is required to be replaced by another convex lens…MediumRay Optics and Optical Instruments
  13. Q38Energy released when two deuterons (1H2_1\mathrm{H}^2) fuse to form a helium nucleus (2He4_2\mathrm{He}^4) is : (Given : Binding energy per nucleon of…EasyNuclei
  14. Q39In the digital circuit shown in the figure, for the given inputs the P and Q values are :MediumSemiconductor Electronics: Materials, Devices and Simple Circuits
  15. Q40Assuming the validity of Bohr's atomic model for hydrogen like ions the radius of Li++\mathrm{Li^{++}} ion in its ground state is given by…EasyAtoms
  16. Q41Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Net dipole moment of a…EasyElectrostatic Potential and Capacitance
  17. Q42Two large plane parallel conducting plates are kept 10 cm apart as shown in figure. The potential difference between them is V. The potential…MediumElectrostatic Potential and Capacitance
  18. Q43A solenoid having area AA and length ll is filled with a material having relative permeability 2. The magnetic energy stored in the solenoid is :MediumElectromagnetic Induction
  19. Q44Consider a circular loop that is uniformly charged and has a radius a2a\sqrt{2}. Find the position along the positive zz-axis of the cartesian…MediumElectric Charges and Fields
  20. Q45In a moving coil galvanometer, two moving coils M1M_1 and M2M_2 have the following particulars : R1=5 ΩR_1 = 5\ \Omega, N1=15N_1 = 15,…MediumMoving Charges and Magnetism
  21. Q46A wheel of radius 0.2 m rotates freely about its center when a string that is wrapped over its rim is pulled by force of 10 N as shown in figure.…EasySystem of Particles and Rotational MotionNumerical
  22. Q47A satellite of mass 1000 kg is launched to revolve around the earth in an orbit at a height of 270 km from the earth's surface. Kinetic energy of…MediumGravitationNumerical
  23. Q48The length of a light string is 1.4 m when the tension on it is 5 N. If the tension increases to 7 N, the length of the string is 1.56 m. The…EasyMechanical Properties of SolidsNumerical
  24. Q49A ray of light suffers minimum deviation when incident on a prism having angle of the prism equal to 60∘60^\circ. The refractive index of the prism…EasyRay Optics and Optical InstrumentsNumerical
  25. Q50The internal energy of air in 4 m×4 m×3 m4\ \mathrm{m}\times4\ \mathrm{m}\times3\ \mathrm{m} sized room at 1 atmospheric pressure will be __________…EasyKinetic TheoryNumerical

Chemistry Q51–75

  1. Q51'xx' g of NaCl is added to water in a beaker with a lid. The temperature of the system is raised from 1∘1^\circC to 25∘25^\circC. Which out of the…HardSolutions
  2. Q52Which of the following statements are true ? (A) The subsidiary quantum number ll describes the shape of the orbital occupied by the electron. (B)…MediumStructure of Atom
  3. Q53Arrange the following in order of magnitude of work done by the system/on the system at constant temperature. (a) ∣wreversible∣|w_{\mathrm{reversible}}| for…MediumThermodynamics (Chemistry)
  4. Q54Which of the following graphs correctly represents the variation of thermodynamic properties of Haber's process ?HardThermodynamics (Chemistry)
  5. Q55Consider the following chemical equilibrium of the gas phase reaction at a constant temperature : A(g)⇌B(g)+C(g)\mathrm{A(g) \rightleftharpoons B(g) + C(g)} If…MediumEquilibrium
  6. Q56Reactant A converts to product D through the given mechanism (with the net evolution of heat) : A→BA \rightarrow B slow; ΔH=+\Delta H = +ve…MediumChemical Kinetics
  7. Q57Which among the following molecules is (a) involved in sp3dsp^3d hybridization, (b) has different bond lengths and (c) has lone pair of electrons on…EasyChemical Bonding and Molecular Structure
  8. Q58Electronic configuration of four elements A, B, C and D are given below : (A) 1s22s22p31s^22s^22p^3 (B) 1s22s22p41s^22s^22p^4 (C) 1s22s22p51s^22s^22p^5 (D)…EasyClassification of Elements and Periodicity in Properties
  9. Q59The nature of oxide (TeO2\mathrm{TeO_2}) and hydride (TeH2\mathrm{TeH_2}) formed by Te, respectively are :MediumThe p-Block Elements
  10. Q60The d-orbital electronic configuration of the complex among [Co(en)3]3+\mathrm{[Co(en)_3]^{3+}}, [CoF6]3−\mathrm{[CoF_6]^{3-}}, [Mn(H2O)6]2+\mathrm{[Mn(H_2O)_6]^{2+}} and…MediumCoordination Compounds
  11. Q61The type of hybridization and the magnetic property of [MnCl6]3−\mathrm{[MnCl_6]^{3-}} are,MediumCoordination Compounds
  12. Q62Formation of Na4[Fe(CN)5NOS]\mathrm{Na_4[Fe(CN)_5NOS]}, a purple coloured complex formed by addition of sodium nitroprusside in sodium carbonate extract of salt…EasyOrganic Chemistry: Some Basic Principles and Techniques
  13. Q63Match List - I with List - II. List - I (Purification technique) (A) Distillation (simple) (B) Fractional distillation (C) Distillation under…MediumOrganic Chemistry: Some Basic Principles and Techniques
  14. Q64In Dumas' method for estimation of nitrogen, 0.5 gram of an organic compound gave 60 mL of nitrogen collected at 300 K temperature and 715 mm Hg…MediumSome Basic Concepts of Chemistry
  15. Q65In 3,3-dimethylhex-1-en-4-yne, there are _____sp3sp^3, _____sp2sp^2 and _____spsp hybridised carbon atoms respectively.EasyOrganic Chemistry: Some Basic Principles and Techniques
  16. Q66Given below are two statements : Statement (I) : Neopentane forms only one monosubstituted derivative. Statement (II) : Melting point of neopentane…MediumHydrocarbons
  17. Q67Match List - I with List - II. List - I (Reaction) (A)…EasyOrganic Chemistry: Some Basic Principles and Techniques
  18. Q68Consider the following reactions. From these reactions which reaction will give carboxylic acid as a major product ? (A)…MediumAldehydes, Ketones and Carboxylic Acids
  19. Q69When a concentrated solution of sulphanilic acid and 1-naphthylamine is treated with nitrous acid (273 K) and acidified with acetic acid, the mass…MediumAmines
  20. Q70A tetrapeptide, xx on complete hydrolysis produced glycine (Gly), alanine (Ala), valine (Val), leucine (Leu) in equimolar proportion each. The…EasyBiomolecules
  21. Q71For the reaction A→BA \rightarrow B the following graph was obtained. The time required (in seconds) for the concentration of A to reduce to…MediumChemical KineticsNumerical
  22. Q720.2%0.2\% (w/v) solution of NaOH is measured to have resistivity 870.0 mΩ m870.0\ \mathrm{m\Omega\ m}. The molar conductivity of the solution will be…MediumElectrochemistryNumerical
  23. Q73When 1 g each of compounds AB and AB2\mathrm{AB_2} are dissolved in 15 g of water separately, they increased the boiling point of water by 2.7 K and…MediumSolutionsNumerical
  24. Q74The spin-only magnetic moment value of Mn+\mathrm{M^{n+}} ion formed among Ni, Zn, Mn and Cu that has the least enthalpy of atomisation is…MediumThe d- and f-Block ElementsNumerical
  25. Q75Consider the above sequence of reactions. 151 g of 2-bromopentane is made to react. Yield of major product P is 80% whereas Q is 100%. Mass of…MediumHaloalkanes and HaloarenesNumerical

Maths Q1–25

  1. Q1If the domain of the function f(x)=110+3x−x2+1x+∣x∣f(x) = \frac{1}{\sqrt{10+3x-x^2}} + \frac{1}{\sqrt{x+|x|}} is (a,b)(a, b), then (1+a)2+b2(1+a)^2 + b^2 is equal to :EasyRelations and Functions
  2. Q2Let A={1,2,3,…,100}A = \{1, 2, 3, \ldots, 100\} and RR be a relation on AA such that R={(a,b):a=2b+1}R = \{(a, b) : a = 2b + 1\}. Let…MediumRelations and Functions
  3. Q3Let AA be a 3×33\times3 real matrix such that A2(A−2I)−4(A−I)=OA^2(A-2I) - 4(A-I) = O, where II and OO are the identity and null matrices, respectively. If…MediumMatrices
  4. Q4If the system of equations 2x+λy+3z=52x + \lambda y + 3z = 5 3x+2y−z=73x + 2y - z = 7 4x+5y+μz=94x + 5y + \mu z = 9 has infinitely many solutions, then…MediumDeterminants
  5. Q5The number of terms of an A.P. is even; the sum of all the odd terms is 24, the sum of all the even terms is 30 and the last term exceeds the first…MediumSequences and Series
  6. Q6The number of ways, in which the letters A, B, C, D, E can be placed in the 8 boxes of the figure below so that no row remains empty and at most one…MediumPermutations and Combinations
  7. Q7If ∑r=010(10r+1−110r)⋅11Cr+1=α11−11111010\sum_{r=0}^{10}\left(\frac{10^{r+1}-1}{10^r}\right)\cdot {}^{11}C_{r+1} = \frac{\alpha^{11}-11^{11}}{10^{10}}, then α\alpha is equal to :HardBinomial Theorem
  8. Q8If the mean and the variance of 6, 4, a, 8, b, 12, 10, 13 are 9 and 9.25 respectively, then a+b+aba+b+ab is equal to :MediumStatistics
  9. Q9Given three indentical bags each containing 10 balls, whose colours are as follows : Bag I: Red 3, Blue 2, Green 5 Bag II: Red 4, Blue 3, Green 3…EasyProbability
  10. Q10Let the area of the triangle formed by a straight line L:x+by+c=0L : x + by + c = 0 with co-ordinate axes be 48 square units. If the perpendicular drawn…MediumStraight Lines
  11. Q11Let the point PP of the focal chord PQPQ of the parabola y2=16xy^2 = 16x be (1,−4)(1, -4). If the focus of the parabola divides the chord PQPQ in the ratio…MediumConic Sections
  12. Q12If the length of the minor axis of an ellipse is equal to one fourth of the distance between the foci, then the eccentricity of the ellipse is :EasyConic Sections
  13. Q13If θ∈[−7π6,4π3]\theta \in \left[-\frac{7\pi}{6}, \frac{4\pi}{3}\right], then the number of solutions of…MediumTrigonometric Functions
  14. Q14If the image of the point P(1,0,3)P(1, 0, 3) in the line joining the points A(4,7,1)A(4, 7, 1) and B(3,5,3)B(3, 5, 3) is Q(α,β,γ)Q(\alpha, \beta, \gamma), then…MediumThree Dimensional Geometry
  15. Q15The line L1L_1 is parallel to the vector a⃗=−3i^+2j^+4k^\vec{a} = -3\hat{i} + 2\hat{j} + 4\hat{k} and passes through the point (7,6,2)(7, 6, 2) and the line L2L_2 is…EasyThree Dimensional Geometry
  16. Q16Let a⃗=2i^−3j^+k^\vec{a} = 2\hat{i} - 3\hat{j} + \hat{k}, b⃗=3i^+2j^+5k^\vec{b} = 3\hat{i} + 2\hat{j} + 5\hat{k} and a vector c⃗\vec{c} be such that…MediumVector Algebra
  17. Q17If lim⁡x→0cos⁡(2x)+acos⁡(4x)−bx4\lim_{x\to0} \frac{\cos(2x) + a\cos(4x) - b}{x^4} is finite, then (a+b)(a+b) is equal to :MediumLimits and Derivatives
  18. Q184∫01(13+x2+1+x2)dx−3log⁡e(3)4\int_0^1 \left(\frac{1}{\sqrt{3+x^2}+\sqrt{1+x^2}}\right)\mathrm{d}x - 3\log_e(\sqrt{3}) is equal to :HardIntegrals
  19. Q19Let (a,b)(a, b) be the point of intersection of the curve x2=2yx^2 = 2y and the straight line y−2x−6=0y - 2x - 6 = 0 in the second quadrant. Then the integral…MediumIntegrals
  20. Q20Let f:[1,∞)→[2,∞)f : [1, \infty) \to [2, \infty) be a differentiable function. If 10∫1xf(t) dt=5xf(x)−x5−910\int_1^x f(t)\,\mathrm{d}t = 5xf(x) - x^5 - 9 for all x≥1x \geq 1, then…MediumIntegrals
  21. Q21If the set of all a∈R−{1}a \in \mathbf{R} - \{1\}, for which the roots of the equation (1−a)x2+2(a−3)x+9=0(1-a)x^2 + 2(a-3)x + 9 = 0 are positive is…MediumComplex Numbers and Quadratic EquationsNumerical
  22. Q22If the sum of the first 10 terms of the series 4⋅11+4⋅14+4⋅21+4⋅24+4⋅31+4⋅34+…\frac{4\cdot1}{1+4\cdot1^4} + \frac{4\cdot2}{1+4\cdot2^4} + \frac{4\cdot3}{1+4\cdot3^4} + \ldots is…HardSequences and SeriesNumerical
  23. Q23If y=cos⁡(π3+cos⁡−1x2)y = \cos\left(\frac{\pi}{3} + \cos^{-1}\frac{x}{2}\right), then (x−y)2+3y2(x-y)^2 + 3y^2 is equal to __________.MediumInverse Trigonometric FunctionsNumerical
  24. Q24Let A(4,−2)A(4, -2), B(1,1)B(1, 1) and C(9,−3)C(9, -3) be the vertices of a triangle ABCABC. Then the maximum area of the parallelogram AFDEAFDE, formed with…HardStraight LinesNumerical
  25. Q25Let y=y(x)y = y(x) be the solution of the differential equation dydx+2ysec⁡2x=2sec⁡2x+3tan⁡x⋅sec⁡2x\frac{\mathrm{d}y}{\mathrm{d}x} + 2y\sec^2 x = 2\sec^2 x + 3\tan x\cdot\sec^2 x such…MediumDifferential EquationsNumerical

Questions from the official paper published by NTA, answers from the final key. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026; see the other 2025 shifts.