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Friday, 9 October

JEE Main 2025 · April session

JEE Main 3 April 2025, Shift 1

74 questions (1 more dropped by NTA): 15 numerical-answer and 59 multiple choice. 10 were rated hard and 21 easy. By hard questions it ranks 3rd of the 8 2025 shifts Lumi analysed. The biggest chapter was Organic Chemistry: Some Basic Principles and Techniques, with 4 questions.

Questions
74
1 dropped by NTA
Numerical answer
15
20% of the shift
Hard
10
14% of the shift
Chapters asked
52
17 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
24 Q · 5 numerical
Easy 10Medium 10Hard 4

Top chapters

Chemistry
25 Q · 5 numerical
Easy 10Medium 15Hard 0

Top chapters

Maths
25 Q · 5 numerical
Easy 1Medium 18Hard 6

Top chapters

Question format
  • Single correct37 Q
  • Numerical value15 Q
  • Diagram based12 Q
  • Other5 Q
  • Match the list3 Q
  • Two statements2 Q
What each question asks you to do
  • Multi-step28 Q
  • Calculation20 Q
  • Conceptual11 Q
  • Application8 Q
  • Recall3 Q
  • Data or graph2 Q
  • Diagram reading2 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. Q26A person measures mass of 3 different particles as 435.42 g, 226.3 g and 0.125 g. According to the rules for arithmetic operations with significant…EasyUnits and Measurements
  2. Q27Match the LIST-I with LIST-II LIST-I A. Gravitational constant B. Gravitational potential energy C. Gravitational potential D. Acceleration due to…EasyUnits and Measurements
  3. Q28A particle is released from height S above the surface of the earth. At certain height its kinetic energy is three times its potential energy. The…EasyWork, Energy and Power
  4. Q29The angle of projection of a particle is measured from the vertical axis as ϕ\phi and the maximum height reached by the particle is hm\mathrm{h_m}.…MediumMotion in a Plane
  5. Q30Which of the following curves possibly represent one-dimensional motion of a particle? A. [figure: Phase vs time, an inclined straight line crossing…MediumMotion in a Straight Line
  6. Q31A force of 49 N acts tangentially at the highest point of a sphere (solid) of mass 20 kg, kept on a rough horizontal plane. If the sphere rolls…HardSystem of Particles and Rotational Motion
  7. Q32Consider a completely full cylindrical water tank of height 1.6 m and of cross-sectional area 0.5 m20.5\ \mathrm{m^2}. It has a small hole in its side…MediumMechanical Properties of Fluids
  8. Q33During the melting of a slab of ice at 273 K at atmospheric pressure:MediumThermodynamics
  9. Q34A gas is kept in a container having walls which are thermally non-conducting. Initially the gas has a volume of 800 cm3800\ \mathrm{cm^3} and temperature…EasyThermodynamics
  10. Q35A piston of mass M is hung from a massless spring whose restoring force law goes as F=−kx3F = -kx^3, where k is the spring constant of appropriate…HardThermodynamics
  11. Q36Two blocks of masses m and M, (M>m)(M > m), are placed on a frictionless table as shown in figure. A massless spring with spring constant k is attached…HardOscillations
  12. Q37A wire of length 25 m and cross-sectional area 5 mm25\ \mathrm{mm^2} having resistivity of 2×10−6 Ω m2 \times 10^{-6}\ \Omega\,\mathrm{m} is bent into a…EasyCurrent ElectricityDropped
  13. Q38A parallel plate capacitor is filled equally(half) with two dielectrics of dielectric constants ϵ1\epsilon_1 and ϵ2\epsilon_2, as shown in figures.…MediumElectrostatic Potential and Capacitance
  14. Q39The electrostatic potential on the surface of uniformly charged spherical shell of radius R = 10 cm is 120 V. The potential at the centre of shell,…EasyElectrostatic Potential and Capacitance
  15. Q40The radiation pressure exerted by a 450 W light source on a perfectly reflecting surface placed at 2m away from it, isMediumElectromagnetic Waves
  16. Q41Consider following statements for refraction of light through prism, when angle of deviation is minimum. A. The refracted ray inside prism becomes…MediumRay Optics and Optical Instruments
  17. Q42The radii of curvature for a thin convex lens are 10 cm and 15 cm respectively. The focal length of the lens is 12 cm. The refractive index of the…EasyRay Optics and Optical Instruments
  18. Q43The work function of a metal is 3 eV. The color of the visible light that is required to cause emission of photoelectrons isEasyDual Nature of Radiation and Matter
  19. Q44Match the LIST-I with LIST-II LIST-I A.…MediumNuclei
  20. Q45Choose the correct logic circuit for the given truth table having inputs A and B. Inputs A, B / Output Y: A=0,B=0: Y=0 A=0,B=1: Y=0 A=1,B=0: Y=1…MediumSemiconductor Electronics: Materials, Devices and Simple Circuits
  21. Q46Three identical spheres of mass m, are placed at the vertices of an equilateral triangle of length aa. When released, they interact only through…HardGravitationNumerical
  22. Q47A 4.0 cm long straight wire carrying a current of 8A is placed perpendicular to a uniform magnetic field of strength 0.15 T. The magnetic force on…EasyMoving Charges and MagnetismNumerical
  23. Q48A loop ABCDA, carrying current I=12\mathrm{I} = 12 A, is placed in a plane, consists of two semi-circular segments of radius R1=6π\mathrm{R_1} = 6\pi m…MediumMoving Charges and MagnetismNumerical
  24. Q49In the figure shown below, a resistance of 150.4 Ω150.4\ \Omega is connected in series to an ammeter A of resistance 240 Ω240\ \Omega. A shunt resistance of…EasyCurrent ElectricityNumerical
  25. Q50Two coherent monochromatic light beams of intensities 4I and 9I are superimposed. The difference between the maximum and minimum intensities in the…EasyWave OpticsNumerical

Chemistry Q51–75

  1. Q51Among 10−910^{-9} g (each) of the following elements, which one will have the highest number of atoms? Element: Pb, Po, Pr and PtEasySome Basic Concepts of Chemistry
  2. Q52Which of the following postulate of Bohr's model of hydrogen atom is not in agreement with quantum mechanical model of an atom?EasyStructure of Atom
  3. Q53Which of the following properties will change when system containing solution 1 will become solution 2? Solution 1: 10 mol of solute x + 10 L of…MediumThermodynamics (Chemistry)
  4. Q542 moles each of ethylene glycol and glucose are dissolved in 500 g of water. The boiling point of the resulting solution is: (Given : Ebullioscopic…EasySolutions
  5. Q55In the following system, PCl5(g)⇌PCl3(g)+Cl2(g)\mathrm{PCl_5(g)} \rightleftharpoons \mathrm{PCl_3(g)} + \mathrm{Cl_2(g)} at equilibrium, upon addition of xenon gas at…EasyEquilibrium
  6. Q56Correct order of limiting molar conductivity for cations in water at 298 K is :MediumElectrochemistry
  7. Q57Given below are two statements: Statement I : A catalyst cannot alter the equilibrium constant (Kc\mathrm{K_c}) of the reaction, temperature…EasyEquilibrium
  8. Q58In a reaction A+B→C\mathrm{A} + \mathrm{B} \rightarrow \mathrm{C}, initial concentrations of A and B are related as [A]0=8[B]0[\mathrm{A}]_0 = 8[\mathrm{B}]_0.…MediumChemical Kinetics
  9. Q59Match the LIST-I with LIST-II LIST-I (Molecules/ ion) A. PF5\mathrm{PF_5} B. SF6\mathrm{SF_6} C. Ni(CO)4\mathrm{Ni(CO)_4} D. [PtCl4]2−\mathrm{[PtCl_4]^{2-}}…MediumChemical Bonding and Molecular Structure
  10. Q60Which of the following statements are correct ? A. The process of adding an electron to a neutral gaseous atom is always exothermic. B. The process…MediumClassification of Elements and Periodicity in Properties
  11. Q61Given below are two statements: Statement I : The N - N single bond is weaker and longer than that of P - P single bond. Statement II : Compounds of…MediumThe p-Block Elements
  12. Q62The metal ions that have the calculated spin-only magnetic moment value of 4.9 B.M. are : A. Cr2+\mathrm{Cr^{2+}} B. Fe2+\mathrm{Fe^{2+}} C.…EasyThe d- and f-Block Elements
  13. Q63The correct order of the complexes [Co(NH3)5(H2O)]3+\mathrm{[Co(NH_3)_5(H_2O)]^{3+}} (A), [Co(NH3)6]3+\mathrm{[Co(NH_3)_6]^{3+}} (B), [Co(CN)6]3−\mathrm{[Co(CN)_6]^{3-}} (C) and…MediumCoordination Compounds
  14. Q64Identify the correct statements from the following. A. [structure: pentan-3-one (skeletal, C=O at the middle carbon)] and [structure: pentan-2-one…MediumOrganic Chemistry: Some Basic Principles and Techniques
  15. Q65Which compound would give 3-methyl-6-oxoheptanal upon ozonolysis?MediumHydrocarbons
  16. Q66Identify [A], [B] and [C], respectively in the following reaction sequence: [A] --(NaNO2_2, HCl, 273 - 278 K)--> benzenediazonium chloride…EasyAmines
  17. Q67The least acidic compound, among the following is: (A) [structure: 3-ethoxyphenol, EtO and OH meta on a benzene ring] (B) [structure:…MediumOrganic Chemistry: Some Basic Principles and Techniques
  18. Q68Number of molecules from below which cannot give iodoform reaction is: Ethanol, Isopropyl alcohol, Bromoacetone, 2−-Butanol, 2−-Butanone, Butanal,…MediumAldehydes, Ketones and Carboxylic Acids
  19. Q69In the following reactions, which one is NOT correct?EasyAmines
  20. Q70Which of the following is the correct structure of L−-Fructose?MediumBiomolecules
  21. Q71Given : ΔHsub⊖\Delta H^{\ominus}_{sub} [C (graphite)] = 710 kJ mol−1^{-1} ΔC−HH⊖\Delta_{C-H}H^{\ominus} = 414 kJ mol−1^{-1} ΔH−HH⊖\Delta_{H-H}H^{\ominus} = 436…MediumThermodynamics (Chemistry)Numerical
  22. Q72The number of optical isomers exhibited by the iron complex (A) obtained from the following reaction is ______.…MediumCoordination CompoundsNumerical
  23. Q73Consider the following reactions A+NaCl+H2SO4→CrO2Cl2+Side Products\mathrm{A + NaCl + H_2SO_4 \rightarrow CrO_2Cl_2 + Side\ Products} (A: little amount) CrO2Cl2\mathrm{CrO_2Cl_2}…MediumThe d- and f-Block ElementsNumerical
  24. Q740.5 g of an organic compound on combustion gave 1.46 g of CO2\mathrm{CO_2} and 0.9 g of H2O\mathrm{H_2O}. The percentage of carbon in the compound is…EasyOrganic Chemistry: Some Basic Principles and TechniquesNumerical
  25. Q75During estimation of nitrogen by Dumas' method of compound X (0.42 g) [structure X: piperazine, six-membered ring with two NH groups at opposite…EasyOrganic Chemistry: Some Basic Principles and TechniquesNumerical

Maths Q1–25

  1. Q1Let A={−3,−2,−1,0,1,2,3}A = \{-3, -2, -1, 0, 1, 2, 3\}. Let R be a relation on A defined by xRyx\mathrm{R}y if and only if 0≤x2+2y≤40 \le x^2 + 2y \le 4. Let ll be the…MediumRelations and Functions
  2. Q2If the domain of the function f(x)=log⁡e(2x−35+4x)+sin⁡−1(4+3x2−x)f(x) = \log_e\left(\frac{2x-3}{5+4x}\right) + \sin^{-1}\left(\frac{4+3x}{2-x}\right) is [α,β)[\alpha, \beta), then…MediumInverse Trigonometric Functions
  3. Q3Let α\alpha and β\beta be the roots of x2+3x−16=0x^2 + \sqrt{3}x - 16 = 0, and γ\gamma and δ\delta be the roots of x2+3x−1=0x^2 + 3x - 1 = 0. If…MediumComplex Numbers and Quadratic Equations
  4. Q4Let z∈Cz \in \mathbb{C} be such that z2+3iz−2+i=2+3i\frac{z^2 + 3i}{z - 2 + i} = 2 + 3i. Then the sum of all possible values of z2z^2 isMediumComplex Numbers and Quadratic Equations
  5. Q5Let AA be a matrix of order 3×33 \times 3 and ∣A∣=5|A| = 5. If ∣2 adj(3A adj(2A))∣=2α⋅3β⋅5γ|2\,adj(3A\,adj(2A))| = 2^{\alpha}\cdot 3^{\beta}\cdot 5^{\gamma},…MediumDeterminants
  6. Q6Let a1,a2,a3,…a_1, a_2, a_3, \ldots be a G.P. of increasing positive numbers. If a3a5=729a_3 a_5 = 729 and a2+a4=1114a_2 + a_4 = \frac{111}{4}, then…EasySequences and Series
  7. Q7The sum 1+3+11+25+45+71+…1 + 3 + 11 + 25 + 45 + 71 + \ldots upto 20 terms, is equal toMediumSequences and Series
  8. Q8If ∑r=19(r+32r)⋅9Cr=α(32)9−β\sum_{r=1}^{9}\left(\frac{r+3}{2^r}\right)\cdot {}^9C_r = \alpha\left(\frac{3}{2}\right)^9 - \beta, α,β∈N\alpha, \beta \in \mathbb{N}, then…MediumBinomial Theorem
  9. Q9The sum of all rational terms in the expansion of (2+3)8\left(2+\sqrt{3}\right)^8 isMediumBinomial Theorem
  10. Q10The number of solutions of the equation 2x+3tan⁡x=π2x + 3\tan x = \pi, x∈[−2π,2π]−{±π2,±3π2}x \in [-2\pi, 2\pi] - \left\{\pm\frac{\pi}{2}, \pm\frac{3\pi}{2}\right\} is:MediumTrigonometric Functions
  11. Q11The radius of the smallest circle which touches the parabolas y=x2+2y = x^2 + 2 and x=y2+2x = y^2 + 2 isHardConic Sections
  12. Q12A line passing through the point P(5,5)P(\sqrt{5}, \sqrt{5}) intersects the ellipse x236+y225=1\frac{x^2}{36} + \frac{y^2}{25} = 1 at AA and BB such that…HardConic Sections
  13. Q13A line passes through the origin and makes equal angles with the positive coordinate axes. It intersects the lines L1:2x+y+6=0\mathrm{L}_1 : 2x + y + 6 = 0…MediumStraight Lines
  14. Q14Line L1\mathrm{L}_1 passes through the point (1,2,3)(1, 2, 3) and is parallel to zz-axis. Line L2\mathrm{L}_2 passes through the point (λ,5,6)(\lambda, 5, 6)…MediumThree Dimensional Geometry
  15. Q15Let a line passing through the point (4,1,0)(4, 1, 0) intersect the line L1:x−12=y−23=z−34\mathrm{L}_1 : \frac{x-1}{2} = \frac{y-2}{3} = \frac{z-3}{4} at the point…HardThree Dimensional Geometry
  16. Q16If y(x)=∣sin⁡xcos⁡xsin⁡x+cos⁡x+1272827111∣y(x) = \begin{vmatrix} \sin x & \cos x & \sin x + \cos x + 1 \\ 27 & 28 & 27 \\ 1 & 1 & 1 \end{vmatrix}, x∈Rx \in \mathbb{R}, then…MediumDeterminants
  17. Q17Let f(x)={(1+ax)1/x,x<01+b,x=0(x+4)1/2−2(x+c)1/3−2,x>0f(x) = \begin{cases} (1+ax)^{1/x}, & x < 0 \\ 1+b, & x = 0 \\ \dfrac{(x+4)^{1/2} - 2}{(x+c)^{1/3} - 2}, & x > 0 \end{cases} be continuous at…MediumContinuity and Differentiability
  18. Q18Let f(x)=∫x33−x2 dxf(x) = \int x^3\sqrt{3 - x^2}\,dx. If 5f(2)=−45f(\sqrt{2}) = -4, then f(1)f(1) is equal toMediumIntegrals
  19. Q19Let the domain of the function f(x)=log⁡2log⁡4log⁡6(3+4x−x2)f(x) = \log_2 \log_4 \log_6 (3 + 4x - x^2) be (a,b)(a, b). If ∫0b−a[x2] dx=p−q−r\int_0^{b-a} [x^2]\,dx = p - \sqrt{q} - \sqrt{r},…HardIntegrals
  20. Q20Let gg be a differentiable function such that ∫0xg(t) dt=x−∫0xt g(t) dt\int_0^x g(t)\,dt = x - \int_0^x t\,g(t)\,dt, x≥0x \ge 0 and let y=y(x)y = y(x) satisfy the differential…HardDifferential Equations
  21. Q21If the number of seven-digit numbers, such that the sum of their digits is even, is m⋅n⋅10nm \cdot n \cdot 10^n; m,n∈{1,2,3,…,9}m, n \in \{1, 2, 3, \ldots, 9\}, then…MediumPermutations and CombinationsNumerical
  22. Q22All five letter words are made using all the letters A, B, C, D, E and arranged as in an English dictionary with serial numbers. Let the word at…HardProbabilityNumerical
  23. Q23Let the product of the focal distances of the point P(4,23)\mathrm{P}\left(4, 2\sqrt{3}\right) on the hyperbola…MediumConic SectionsNumerical
  24. Q24Let a⃗=i^+j^+k^,b⃗=3i^+2j^−k^,c⃗=λj^+μk^\vec{a} = \hat{i} + \hat{j} + \hat{k}, \vec{b} = 3\hat{i} + 2\hat{j} - \hat{k}, \vec{c} = \lambda\hat{j} + \mu\hat{k} and d^\hat{d} be a unit…MediumVector AlgebraNumerical
  25. Q25The area of the region bounded by the curve y=max⁡{∣x∣,x∣x−2∣}y = \max\{|x|, x|x-2|\}, the xx-axis and the lines x=−2x = -2 and x=4x = 4 is equal to ______MediumApplication of IntegralsNumerical

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.