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Friday, 9 October

JEE Main 2025 · April session

JEE Main 3 April 2025, Shift 2

75 questions: 15 numerical-answer and 60 multiple choice. 6 were rated hard and 22 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
49
8 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 3Medium 18Hard 4

Top chapters

Question format
  • Single correct42 Q
  • Numerical value15 Q
  • Diagram based5 Q
  • Other5 Q
  • Two statements4 Q
  • Match the list2 Q
  • Assertion–reason2 Q
What each question asks you to do
  • Multi-step27 Q
  • Calculation25 Q
  • Application8 Q
  • Conceptual8 Q
  • Recall5 Q
  • Diagram reading1 Q
  • Data or graph1 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 the LIST-I with LIST-II LIST-I A. Boltzmann constant B. Coefficient of viscosity C. Planck's constant D. Thermal conductivity LIST-II I.…MediumUnits and Measurements
  2. Q27A particle is projected with velocity uu so that its horizontal range is three times the maximum height attained by it. The horizontal range of the…MediumMotion in a Plane
  3. Q28A particle moves along the xx-axis and has its displacement xx varying with time t according to the equation: x=c0 (t2−2)+c (t−2)2x = c_0\,(t^2 - 2) + c\,(t - 2)^2…EasyMotion in a Straight Line
  4. Q29Consider two blocks A and B of masses m1=10m_1 = 10 kg and m2=5m_2 = 5 kg that are placed on a frictionless table. The block A moves with a constant…MediumWork, Energy and Power
  5. Q30Two cylindrical vessels of equal cross sectional area of 2 m22\,\mathrm{m^2} contain water upto heights 10m and 6m, respectively. If the vessels are…MediumMechanical Properties of Fluids
  6. Q31A block of mass 1 kg, moving along xx with speed vi=10v_i = 10 m/s enters a rough region ranging from x=0.1x = 0.1 m to x=1.9x = 1.9 m. The retarding force…MediumWork, Energy and Power
  7. Q32A solid steel ball of diameter 3.6 mm acquired terminal velocity 2.45×10−22.45 \times 10^{-2} m/s while falling under gravity through an oil of density…EasyMechanical Properties of Fluids
  8. Q33An ideal gas exists in a state with pressure P0\mathrm{P_0}, volume V0\mathrm{V_0}. It is isothermally expanded to 4 times of its initial…MediumThermodynamics
  9. Q34Pressure of an ideal gas, contained in a closed vessel, is increased by 0.4% when heated by 1∘1^\circC. Its initial temperature must be:MediumKinetic Theory
  10. Q35In the resonance experiment, two air columns (closed at one end) of 100 cm and 120 cm long, give 15 beats per second when each one is sounding in…MediumWaves
  11. Q36A magnetic dipole experiences a torque of 80380\sqrt{3} N m when placed in uniform magnetic field in such a way that dipole moment makes angle of…EasyMagnetism and Matter
  12. Q37An electric bulb rated as 100W-220V is connected to an ac source of rms voltage 220V. The peak value of current through the bulb is :EasyAlternating Current
  13. Q38Using a battery, a 100 pF capacitor is charged to 60 V and then the battery is removed. After that, a second uncharged capacitor is connected to the…EasyElectrostatic Potential and Capacitance
  14. Q39A motor operating on 100 V draws a current of 1 A. If the efficiency of the motor is 91.6%, then the loss of power in units of cal/s isEasyCurrent Electricity
  15. Q40Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : If Oxygen ion (O−2\mathrm{O^{-2}})…MediumMoving Charges and Magnetism
  16. Q41Two monochromatic light beams have intensities in the ratio 1:9. An interference pattern is obtained by these beams. The ratio of the intensities of…EasyWave Optics
  17. Q42A monochromatic light of frequency 5×10145 \times 10^{14} Hz travelling through air, is incident on a medium of refractive index '2'. Wavelength of the…EasyWave Optics
  18. Q43Width of one of the two slits in a Young's double slit interference experiment is half of the other slit. The ratio of the maximum to the minimum…MediumWave Optics
  19. Q44Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : The Bohr model is applicable to…EasyAtoms
  20. Q45The truth table corresponding to the circuit given below is :EasySemiconductor Electronics: Materials, Devices and Simple Circuits
  21. Q46A physical quantity C is related to four other quantities p, q, r and s as follows C=pq2r3sC = \frac{pq^2}{r^3\sqrt{s}}. The percentage errors in the…EasyUnits and MeasurementsNumerical
  22. Q47The excess pressure inside a soap bubble A in air is half the excess pressure inside another soap bubble B in air. If the volume of the bubble A is…EasyMechanical Properties of FluidsNumerical
  23. Q48Two cells of emfs 1 V and 2 V and internal resistances 2 Ω2\ \Omega and 1 Ω1\ \Omega, respectively, are connected in series with an external…MediumCurrent ElectricityNumerical
  24. Q49Light from a point source in air falls on a spherical glass surface (refractive index, μ=1.5\mu = 1.5 and radius of curvature = 50 cm). The image is…MediumRay Optics and Optical InstrumentsNumerical
  25. Q50An electron in the hydrogen atom initially in the fourth excited state makes a transition to nth\mathrm{n^{th}} energy state by emitting a photon of…EasyAtomsNumerical

Chemistry Q51–75

  1. Q51Mass of magnesium required to produce 220 mL of hydrogen gas at STP on reaction with excess of dil. HCl is Given: Molar mass of Mg is…EasySome Basic Concepts of Chemistry
  2. Q52For electrons in '2s' and '2p' orbitals, the orbital angular momentum values, respectively are :EasyStructure of Atom
  3. Q53Given below are two statements: Statement I : When a system containing ice in equilibrium with water (liquid) is heated, heat is absorbed by the…EasyStates of Matter
  4. Q5410 mL of 2 M NaOH solution is added to 20 mL of 1 M HCl solution kept in a beaker. Now, 10 mL of this mixture is poured into a volumetric flask of…MediumSome Basic Concepts of Chemistry
  5. Q5540 mL of a mixture of CH3COOH\mathrm{CH_3COOH} and HCl (aqueous solution) is titrated against 0.1 M NaOH solution conductometrically. Which of the…HardElectrochemistry
  6. Q56The standard cell potential (Ecell⊖\mathrm{E^{\ominus}_{cell}}) of a fuel cell based on the oxidation of methanol in air that has been used to power…MediumElectrochemistry
  7. Q57Consider the following statements related to temperature dependence of rate constants. Identify the correct statements. A. The Arrhenius equation…MediumChemical Kinetics
  8. Q58Given below are two statements: Statement I : Wet cotton clothes made of cellulose based carbohydrate takes comparatively longer time to get dried…MediumBiomolecules
  9. Q59Match the LIST-I with LIST-II LIST-I (Family) A. Pnictogen (group 15) B. Chalcogen C. Halogen D. Noble gas LIST-II (Symbol of Element) I. Ts II. Og…MediumClassification of Elements and Periodicity in Properties
  10. Q60The correct orders among the following are A. Atomic radius : B < Al < Ga < In < Tl B. Electronegativity : Al < Ga < In < Tl < B C. Density : Tl <…MediumClassification of Elements and Periodicity in Properties
  11. Q61Given below are two statements: Statement I : CrO3\mathrm{CrO_3} is a stronger oxidizing agent than MoO3\mathrm{MoO_3} Statement II : Cr(VI) is more…MediumThe d- and f-Block Elements
  12. Q62Identify the diamagnetic octahedral complex ions from below ; A. [Mn(CN)6]3−[\mathrm{Mn(CN)_6}]^{3-} B. [Co(NH3)6]3+[\mathrm{Co(NH_3)_6}]^{3+} C.…MediumCoordination Compounds
  13. Q63Compounds that should not be used as primary standards in titrimetric analysis are : A. Na2Cr2O7\mathrm{Na_2Cr_2O_7} B. Oxalic acid C. NaOH D.…MediumSome Basic Concepts of Chemistry
  14. Q64In Dumas' method for estimation of nitrogen 0.4 g of an organic compound gave 60 mL of nitrogen collected at 300 K temperature and 715 mm Hg…MediumOrganic Chemistry: Some Basic Principles and Techniques
  15. Q65Given below are two statements: Statement I : Hyperconjugation is not a permanent effect. Statement II : In general, greater the number of alkyl…EasyOrganic Chemistry: Some Basic Principles and Techniques
  16. Q66What is the correct IUPAC name of [structure] ?EasyOrganic Chemistry: Some Basic Principles and Techniques
  17. Q67In the following series of reactions identify the major products A & B respectively Bromobenzene →H2SO4SO3\xrightarrow[\mathrm{H_2SO_4}]{\mathrm{SO_3}} A…MediumHaloalkanes and Haloarenes
  18. Q68The major product (P) in the following reaction is : Ph−CO−CHO\mathrm{Ph{-}CO{-}CHO} →ΔKOH\xrightarrow[\Delta]{\mathrm{KOH}} P (Major Product)MediumAldehydes, Ketones and Carboxylic Acids
  19. Q69The sequence from the following that would result in giving predominantly 3, 4, 5-Tribromoaniline is :HardAmines
  20. Q70Fat soluble vitamins are: A. Vitamin B1\mathrm{B_1} B. Vitamin C C. Vitamin E D. Vitamin B12\mathrm{B_{12}} E. Vitamin K Choose the correct answer…EasyBiomolecules
  21. Q71A perfect gas (0.1 mol) having C‾v=1.50R\overline{\mathrm{C}}_v = 1.50\mathrm{R} (independent of temperature) undergoes the above transformation from point…MediumThermodynamics (Chemistry)Numerical
  22. Q72A sample of n-octane (1.14 g) was completely burnt in excess of oxygen in a bomb calorimeter, whose heat capacity is 5 kJ K−1\mathrm{K^{-1}}. As a…MediumThermodynamics (Chemistry)Numerical
  23. Q73Among, Sc, Mn, Co and Cu, identify the element with highest enthalpy of atomisation. The spin only magnetic moment value of that element in its +2…MediumThe d- and f-Block ElementsNumerical
  24. Q74X g of nitrobenzene on nitration gave 4.2 g of m-dinitrobenzene. X = __________ g. (nearest integer) [Given : molar mass (in g mol−1\mathrm{g\ mol^{-1}})…MediumAminesNumerical
  25. Q75The total number of structural isomers possible for the substituted benzene derivatives with the molecular formula C9H12\mathrm{C_9H_{12}} is __________.MediumOrganic Chemistry: Some Basic Principles and TechniquesNumerical

Maths Q1–25

  1. Q1Let A={−2,−1,0,1,2,3}A = \{-2, -1, 0, 1, 2, 3\}. Let R be a relation on AA defined by xRyxRy if and only if y=max⁡{x,1}y = \max\{x, 1\}. Let ll be the number of elements…MediumRelations and Functions
  2. Q2If the domain of the function f(x)=log⁡7(1−log⁡4(x2−9x+18))f(x) = \log_7 (1 - \log_4 (x^2 - 9x + 18)) is (α,β)∪(γ,δ)(\alpha, \beta) \cup (\gamma, \delta), then…MediumRelations and Functions
  3. Q3Let ff be a function such that f(x)+3f(24x)=4x, x≠0f(x) + 3f\left(\frac{24}{x}\right) = 4x,\ x \neq 0. Then f(3)+f(8)f(3) + f(8) is equal toEasyRelations and Functions
  4. Q4Let the equation x(x+2)(12−k)=2x(x + 2)(12 - k) = 2 have equal roots. Then the distance of the point (k,k2)\left(k, \frac{k}{2}\right) from the line…EasyComplex Numbers and Quadratic Equations
  5. Q5If z1,z2,z3∈Cz_1, z_2, z_3 \in \mathbb{C} are the vertices of an equilateral triangle, whose centroid is z0z_0, then ∑k=13(zk−z0)2\sum_{k=1}^{3} (z_k - z_0)^2 is equal…MediumComplex Numbers and Quadratic Equations
  6. Q6The sum 1+1+32!+1+3+53!+1+3+5+74!+…1 + \frac{1+3}{2!} + \frac{1+3+5}{3!} + \frac{1+3+5+7}{4!} + \ldots upto ∞\infty terms, is equal toMediumSequences and Series
  7. Q7Line L1\mathrm{L_1} of slope 2 and line L2\mathrm{L_2} of slope 12\frac{1}{2} intersect at the origin O. In the first quadrant,…EasyPermutations and Combinations
  8. Q8If the probability that the random variable XX takes the value xx is given by P(X=x)=k(x+1)3−x, x=0,1,2,3…P(X = x) = k(x + 1)3^{-x},\ x = 0, 1, 2, 3\ldots, where kk is a…MediumProbability
  9. Q9Let the Mean and Variance of five observations x1=1,x2=3,x3=a,x4=7x_1 = 1, x_2 = 3, x_3 = a, x_4 = 7 and x5=b, a>bx_5 = b,\ a > b, be 5 and 10 respectively. Then the…MediumStatistics
  10. Q10Consider the lines x(3λ+1)+y(7λ+2)=17λ+5x(3\lambda + 1) + y(7\lambda + 2) = 17\lambda + 5, λ\lambda being a parameter, all passing through a point P. One of these…MediumStraight Lines
  11. Q11If the four distinct points (4,6),(−1,5),(0,0)(4, 6), (-1, 5), (0, 0) and (k,3k)(k, 3k) lie on a circle of radius rr, then 10k+r210k + r^2 is equal toMediumConic Sections
  12. Q12Let CC be the circle of minimum area enclosing the ellipse E:x2a2+y2b2=1E: \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 with eccentricity 12\frac{1}{2} and foci…HardConic Sections
  13. Q13The number of solutions of the equation…HardTrigonometric Functions
  14. Q14Each of the angles β\beta and γ\gamma that a given line makes with the positive yy- and zz-axes, respectively, is half of the angle that this…MediumThree Dimensional Geometry
  15. Q15The distance of the point (7,10,11)(7, 10, 11) from the line x−41=y−40=z−23\frac{x-4}{1} = \frac{y-4}{0} = \frac{z-2}{3} along the line…MediumThree Dimensional Geometry
  16. Q16Let f:R→Rf: \mathrm{R} \to \mathrm{R} be a function defined by f(x)=∣∣x+2∣−2∣x∣∣f(x) = \left||x+2| - 2|x|\right|. If mm is the number of points of local minima and…MediumApplication of Derivatives
  17. Q17The shortest distance between the curves y2=8xy^2 = 8x and x2+y2+12y+35=0x^2 + y^2 + 12y + 35 = 0 is:MediumApplication of Derivatives
  18. Q18The integral ∫0π8x dx4cos⁡2x+sin⁡2x\int_0^{\pi} \frac{8x\,dx}{4\cos^2 x + \sin^2 x} is equal toMediumIntegrals
  19. Q19The area of the region {(x,y):∣x−y∣≤y≤4x}\left\{(x, y) : |x - y| \leq y \leq 4\sqrt{x}\right\} isMediumApplication of Integrals
  20. Q20Let y=y(x)y = y(x) be the solution of the differential equation dydx+3(tan⁡2x)y+3y=sec⁡2x, y(0)=13+e3\frac{dy}{dx} + 3\left(\tan^2 x\right)y + 3y = \sec^2 x,\ y(0) = \frac{1}{3} + e^3.…MediumDifferential Equations
  21. Q21Let (1+x+x2)10=a0+a1x+a2x2+…+a20x20(1 + x + x^2)^{10} = a_0 + a_1 x + a_2 x^2 + \ldots + a_{20} x^{20}. If (a1+a3+a5+…+a19)−11a2=121k(a_1 + a_3 + a_5 + \ldots + a_{19}) - 11a_2 = 121k, then kk is…HardBinomial TheoremNumerical
  22. Q22Let I be the identity matrix of order 3×33 \times 3 and for the matrix…HardDeterminantsNumerical
  23. Q23If the equation of the hyperbola with foci (4,2)(4, 2) and (8,2)(8, 2) is 3x2−y2−αx+βy+γ=03x^2 - y^2 - \alpha x + \beta y + \gamma = 0, then α+β+γ\alpha + \beta + \gamma…MediumConic SectionsNumerical
  24. Q24Let a⃗=i^+2j^+k^,b⃗=3i^−3j^+3k^,c⃗=2i^−j^+2k^\vec{a} = \hat{i} + 2\hat{j} + \hat{k}, \vec{b} = 3\hat{i} - 3\hat{j} + 3\hat{k}, \vec{c} = 2\hat{i} - \hat{j} + 2\hat{k} and d⃗\vec{d} be a…MediumVector AlgebraNumerical
  25. Q25If lim⁡x→0(tan⁡xx)1x2=p\lim_{x \to 0}\left(\frac{\tan x}{x}\right)^{\frac{1}{x^2}} = p, then 96log⁡ep96 \log_e p is equal to ___________.MediumLimits and DerivativesNumerical

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.