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Friday, 9 October

JEE Main 2025 · April session

JEE Main 2 April 2025, Shift 1

75 questions: 15 numerical-answer and 60 multiple choice. 9 were rated hard and 16 easy. By hard questions it ranks 4th of the 8 2025 shifts Lumi analysed. The biggest chapter was Conic Sections, with 4 questions.

Questions
75
none dropped
Numerical answer
15
20% of the shift
Hard
9
12% of the shift
Chapters asked
53
15 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
25 Q · 5 numerical
Easy 9Medium 15Hard 1

Top chapters

Chemistry
25 Q · 5 numerical
Easy 3Medium 19Hard 3

Top chapters

Maths
25 Q · 5 numerical
Easy 4Medium 16Hard 5

Top chapters

Question format
  • Single correct50 Q
  • Numerical value15 Q
  • Diagram based3 Q
  • Other3 Q
  • Two statements3 Q
  • Match the list1 Q
What each question asks you to do
  • Multi-step33 Q
  • Calculation19 Q
  • Application8 Q
  • Conceptual8 Q
  • Recall6 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. Q26The equation for real gas is given by (P+aV2)(V−b)=RT\left(P+\frac{a}{V^2}\right)(V-b)=RT, where P,V,T and R are the pressure, volume, temperature and gas…MediumUnits and Measurements
  2. Q27Match List - I with List - II. List - I List - II (A) Coefficient of viscosity (I) [ML0T−3][ML^0T^{-3}] (B) Intensity of wave (II) [ML−2T−2][ML^{-2}T^{-2}] (C)…MediumUnits and Measurements
  3. Q28A cord of negligible mass is wound around the rim of a wheel supported by spokes with negligible mass. The mass of wheel is 10 kg and radius is 10…MediumSystem of Particles and Rotational Motion
  4. Q29A river is flowing from west to east direction with speed of 9 km h−19\ \mathrm{km\,h^{-1}}. If a boat capable of moving at a maximum speed of…EasyMotion in a Plane
  5. Q30A square Lamina OABC of length 10 cm is pivoted at 'O'. Forces act at Lamina as shown in figure. If Lamina remains stationary, then the magnitude of…MediumSystem of Particles and Rotational Motion
  6. Q31In an adiabatic process, which of the following statements is true ?EasyThermodynamics
  7. Q32Moment of inertia of a rod of mass 'M' and length 'L' about an axis passing through its center and normal to its length is 'α\alpha'. Now the rod…MediumSystem of Particles and Rotational Motion
  8. Q33A particle is subjected to two simple harmonic motions as : x1=7sin⁡5tx_1=\sqrt{7}\sin5t cm and x2=27sin⁡(5t+π3)x_2=2\sqrt{7}\sin\left(5t+\frac{\pi}{3}\right) cm where…MediumOscillations
  9. Q34A small bob of mass 100 mg and charge +10 μC+10\ \mu\mathrm{C} is connected to an insulating string of length 1 m. It is brought near to an infinitely…MediumElectric Charges and Fields
  10. Q35The battery of a mobile phone is rated as 4.2 V, 5800 mAh. How much energy is stored in it when fully charged ?EasyCurrent Electricity
  11. Q36The relationship between the magnetic susceptibility (χ\chi) and the magnetic permeability (μ\mu) is given by : (μ0\mu_0 is the permeability of…EasyMagnetism and Matter
  12. Q37Consider two infinitely large plane parallel conducting plates as shown below. The plates are uniformly charged with a surface charge density…EasyElectric Charges and Fields
  13. Q38Let B1B_1 be the magnitude of magnetic field at center of a circular coil of radius R carrying current I. Let B2B_2 be the magnitude of magnetic…EasyMoving Charges and Magnetism
  14. Q39A point charge +q+q is placed at the origin. A second point charge +9q+9q is placed at (d,0,0)(d, 0, 0) in Cartesian coordinate system. The point in…EasyElectric Charges and Fields
  15. Q40A light wave is propagating with plane wave fronts of the type x+y+z=constantx+y+z=\text{constant}. The angle made by the direction of wave propagation with the…MediumWave Optics
  16. Q41A slanted object AB is placed on one side of convex lens as shown in the diagram. The image is formed on the opposite side. Angle made by the image…HardRay Optics and Optical Instruments
  17. Q42A spherical surface separates two media of refractive indices 1 and 1.5 as shown in figure. Distance of the image of an object 'O', is : (C is the…MediumRay Optics and Optical Instruments
  18. Q43Considering Bohr's atomic model for hydrogen atom : (A) the energy of H atom in ground state is same as energy of He+\mathrm{He^+} ion in its first…EasyAtoms
  19. Q44A monochromatic light is incident on a metallic plate having work function ϕ\phi. An electron, emitted normally to the plate from a point A with…MediumDual Nature of Radiation and Matter
  20. Q45A zener diode with 5 V zener voltage is used to regulate an unregulated dc voltage input of 25 V. For a 400 Ω400\ \Omega resistor connected in series,…MediumSemiconductor Electronics: Materials, Devices and Simple Circuits
  21. Q46A steel wire of length 2 m and Young's modulus 2.0×1011 N m−22.0\times10^{11}\ \mathrm{N\,m^{-2}} is stretched by a force. If Poisson ratio and transverse…MediumMechanical Properties of SolidsNumerical
  22. Q47A vessel with square cross-section and height of 6 m is vertically partitioned. A small window of 100 cm2100\ \mathrm{cm}^2 with hinged door is fitted at…MediumMechanical Properties of FluidsNumerical
  23. Q48γA\gamma_A is the specific heat ratio of monoatomic gas A having 3 translational degrees of freedom. γB\gamma_B is the specific heat ratio of…MediumKinetic TheoryNumerical
  24. Q49A person travelling on a straight line moves with a uniform velocity v1v_1 for a distance xx and with a uniform velocity v2v_2 for the next…EasyMotion in a Straight LineNumerical
  25. Q50If the measured angular separation between the second minimum to the left of the central maximum and the third minimum to the right of the central…MediumWave OpticsNumerical

Chemistry Q51–75

  1. Q51CaCO3(s)+2HCl(aq)→CaCl2(aq)+CO2(g)+H2O(l)\mathrm{CaCO_3(s)+2HCl(aq)\rightarrow CaCl_2(aq)+CO_2(g)+H_2O(l)} Consider the above reaction, what mass of CaCl2\mathrm{CaCl_2} will be formed if…MediumSome Basic Concepts of Chemistry
  2. Q52According to Bohr's model of hydrogen atom, which of the following statement is incorrect ?EasyStructure of Atom
  3. Q53Two vessels A and B are connected via stopcock. The vessel A is filled with a gas at a certain pressure. The entire assembly is immersed in water…MediumThermodynamics (Chemistry)
  4. Q54Which of the following graph correctly represents the plots of KH\mathrm{K_H} at 1 bar for gases in water versus temperature?HardSolutions
  5. Q55A solution is made by mixing one mole of volatile liquid A with 3 moles of volatile liquid B. The vapour pressure of pure A is 200 mm Hg and that of…MediumSolutions
  6. Q56If equal volumes of AB2\mathrm{AB_2} and XY (both are salts) aqueous solutions are mixed, which of the following combination will give a precipitate…MediumEquilibrium
  7. Q57Among SO2\mathrm{SO_2}, NF3\mathrm{NF_3}, NH3\mathrm{NH_3}, XeF2\mathrm{XeF_2}, ClF3\mathrm{ClF_3} and SF4\mathrm{SF_4}, the hybridization of the molecule…MediumChemical Bonding and Molecular Structure
  8. Q58The property/properties that show irregularity in first four elements of group-17 is/are : (A) Covalent radius (B) Electron affinity (C) Ionic…MediumClassification of Elements and Periodicity in Properties
  9. Q59Given below are two statements : Statement (I) : The metallic radius of Al is less than that of Ga. Statement (II) : The ionic radius of…MediumClassification of Elements and Periodicity in Properties
  10. Q60Given below are two statements : Statement (I) : In octahedral complexes, when Δo<\Delta_o< P high spin complexes are formed. When Δo>\Delta_o> P low…EasyCoordination Compounds
  11. Q61A molecule with the formula AX4Y\mathrm{AX_4Y} has all it's elements from p-block. Element A is rarest, monoatomic, non-radioactive from its group and…HardChemical Bonding and Molecular Structure
  12. Q62Choose the correct tests with respective observations. (A) CuSO4\mathrm{CuSO_4} (acidified with acetic acid) + K4[Fe(CN)6]→\mathrm{K_4[Fe(CN)_6]}\rightarrow…MediumThe d- and f-Block Elements
  13. Q63On complete combustion 1.0 g of an organic compound (X) gave 1.46 g of CO2\mathrm{CO_2} and 0.567 g of H2O\mathrm{H_2O}. The empirical formula mass of…MediumOrganic Chemistry: Some Basic Principles and Techniques
  14. Q64Consider the following compound (X) H−C≡C−CH2−CH(CH3)−CH3\mathrm{H-C{\equiv}C-CH_2-CH(CH_3)-CH_3} with the carbons numbered I (the terminal ≡\equivC-H carbon), II…MediumOrganic Chemistry: Some Basic Principles and Techniques
  15. Q65Designate whether each of the following compounds is aromatic or not aromatic.MediumHydrocarbons
  16. Q66An optically active alkyl halide C4H9Br\mathrm{C_4H_9Br} [A] reacts with hot KOH dissolved in ethanol and forms alkene [B] as major product which reacts…MediumHaloalkanes and Haloarenes
  17. Q67Consider the following molecules : (p) CH3−CH2−C(=O)−Cl\mathrm{CH_3-CH_2-C(=O)-Cl} (q) CH3−CH2−C(=O)−O−C(=O)−CH3\mathrm{CH_3-CH_2-C(=O)-O-C(=O)-CH_3} (r)…EasyAldehydes, Ketones and Carboxylic Acids
  18. Q68Given below are two statements : Statement (I) : Vanillin ([structure: benzene ring with -CHO, -OH para to CHO and -OCH3 ortho to OH]) will react…MediumAldehydes, Ketones and Carboxylic Acids
  19. Q69The correct order of basic nature in aqueous solution for the bases NH3\mathrm{NH_3}, H2N−NH2\mathrm{H_2N-NH_2}, CH3CH2NH2\mathrm{CH_3CH_2NH_2},…MediumAmines
  20. Q70Identify the correct statement among the following :MediumBiomolecules
  21. Q71Consider the following electrochemical cell at standard condition. Au(s)∣QH2,Q∣NH4X(0.01 M)∣∣Ag+(1 M)∣Ag(s)\mathrm{Au(s)|QH_2,Q|NH_4X(0.01\ M)||Ag^+(1\ M)|Ag(s)} Ecell=+0.4E_{cell}=+0.4 V The…HardElectrochemistryNumerical
  22. Q72For the reaction A →\rightarrow products. The concentration of A at 10 minutes is ___________ ×10−3\times10^{-3} mol L−1\mathrm{L^{-1}} (nearest…MediumChemical KineticsNumerical
  23. Q73Consider the following equilibrium, CO(g)+2H2(g)⇌CH3OH(g)\mathrm{CO(g)+2H_2(g)\rightleftharpoons CH_3OH(g)} 0.1 mol of CO along with a catalyst is present in a 2…MediumEquilibriumNumerical
  24. Q74A transition metal (M) among Mn, Cr, Co and Fe has the highest standard electrode potential (M3+/M2+\mathrm{M^{3+}/M^{2+}}). It forms a metal complex of…MediumCoordination CompoundsNumerical
  25. Q750.1 mol of the following given antiviral compound (P) will weigh ___________ ×10−1\times10^{-1} g (nearest integer). (Given : molar mass in…MediumBiomoleculesNumerical

Maths Q1–25

  1. Q1Let the focal chord PQ of the parabola y2=4xy^2=4x make an angle of 60∘60^\circ with the positive xx-axis, where P lies in the first quadrant. If the…MediumConic Sections
  2. Q2Let zz be a complex number such that ∣z∣=1|z|=1. If 2+k2zk+zˉ=kz\frac{2+k^2z}{k+\bar{z}}=kz, k∈Rk\in\mathbf{R}, then the maximum distance of k+ik2k+ik^2 from the…HardComplex Numbers and Quadratic Equations
  3. Q3If θ∈[−2π,2π]\theta\in[-2\pi, 2\pi], then the number of solutions of 22cos⁡2θ+(2−6)cos⁡θ−3=02\sqrt{2}\cos^2\theta+(2-\sqrt{6})\cos\theta-\sqrt{3}=0, is equal to :MediumTrigonometric Functions
  4. Q4If S and S' are the foci of the ellipse x218+y29=1\frac{x^2}{18}+\frac{y^2}{9}=1 and P be a point on the ellipse, then…MediumConic Sections
  5. Q5Let ABCD be a tetrahedron such that the edges AB, AC and AD are mutually perpendicular. Let the areas of the triangles ABC, ACD and ADB be 5, 6 and…MediumThree Dimensional Geometry
  6. Q6The largest n∈Nn\in\mathbf{N} such that 3n3^n divides 50!50! is :EasyBinomial Theorem
  7. Q7For α,β,γ∈R\alpha, \beta, \gamma\in\mathbf{R}, if lim⁡x→0x2sin⁡αx+(γ−1)ex2sin⁡2x−βx=3\lim_{x\to0}\frac{x^2\sin\alpha x+(\gamma-1)e^{x^2}}{\sin2x-\beta x}=3, then β+γ−α\beta+\gamma-\alpha is…MediumLimits and Derivatives
  8. Q8If the function f(x)=2x3−9ax2+12a2x+1f(x)=2x^3-9ax^2+12a^2x+1, where a>0a>0, attains its local maximum and local minimum values at p and q, respectively, such that…MediumApplication of Derivatives
  9. Q9The number of sequences of ten terms, whose terms are either 0 or 1 or 2, that contain exactly five 1s and exactly three 2s, is equal to :EasyPermutations and Combinations
  10. Q10Let one focus of the hyperbola H:x2a2−y2b2=1\mathrm{H}: \frac{x^2}{a^2}-\frac{y^2}{b^2}=1 be at (10,0)(\sqrt{10},0) and the corresponding directrix be…EasyConic Sections
  11. Q11If a⃗\vec{a} is a nonzero vector such that its projections on the vectors 2i^−j^+2k^2\hat{i}-\hat{j}+2\hat{k}, i^+2j^−2k^\hat{i}+2\hat{j}-2\hat{k} and k^\hat{k} are…MediumVector Algebra
  12. Q12Let A be the set of all functions f:Z→Zf:\mathbf{Z}\to\mathbf{Z} and R be a relation on A such that R={(f,g):f(0)=g(1) and f(1)=g(0)}R=\{(f, g): f(0)=g(1)\text{ and }f(1)=g(0)\}.…EasyRelations and Functions
  13. Q13Let the vertices Q and R of the triangle PQR lie on the line x+35=y−12=z+43\frac{x+3}{5}=\frac{y-1}{2}=\frac{z+4}{3}, QR=5\mathrm{QR}=5 and the coordinates of the…MediumThree Dimensional Geometry
  14. Q14Let f:R→Rf:\mathbf{R}\to\mathbf{R} be a twice differentiable function such that (sin⁡xcos⁡y)(f(2x+2y)−f(2x−2y))=(cos⁡xsin⁡y)(f(2x+2y)+f(2x−2y))(\sin x\cos y)(f(2x+2y)-f(2x-2y))=(\cos x\sin y)(f(2x+2y)+f(2x-2y)),…HardContinuity and Differentiability
  15. Q15Let a∈Ra\in\mathbf{R} and A be a matrix of order 3×33\times3 such that det⁡(A)=−4\det(A)=-4 and A+I=[1a1210a12]A+I=\begin{bmatrix}1&a&1\\2&1&0\\a&1&2\end{bmatrix}, where I…MediumDeterminants
  16. Q16The term independent of xx in the expansion of (x+1x2/3+1−x1/3−x−1x−x1/2)10\left(\frac{x+1}{x^{2/3}+1-x^{1/3}}-\frac{x-1}{x-x^{1/2}}\right)^{10}, x>1x>1, is :MediumBinomial Theorem
  17. Q17Let Pn=αn+βnP_n=\alpha^n+\beta^n, n∈Nn\in\mathbf{N}. If P10=123P_{10}=123, P9=76P_9=76, P8=47P_8=47 and P1=1P_1=1, then the quadratic equation having roots…MediumComplex Numbers and Quadratic Equations
  18. Q18Let A=[α−16β]A=\begin{bmatrix}\alpha&-1\\6&\beta\end{bmatrix}, α>0\alpha>0, such that det⁡(A)=0\det(A)=0 and α+β=1\alpha+\beta=1. If I denotes 2×22\times2 identity…MediumMatrices
  19. Q19Let a1,a2,a3,…a_1, a_2, a_3,\ldots be in an A.P. such that ∑k=112a2k−1=−725a1\sum_{k=1}^{12}a_{2k-1}=-\frac{72}{5}a_1, a1≠0a_1\neq0. If ∑k=1nak=0\sum_{k=1}^{n}a_k=0, then n is :MediumSequences and Series
  20. Q20If the system of linear equations 3x+y+βz=33x+y+\beta z=3 2x+αy−z=−32x+\alpha y-z=-3 x+2y+z=4x+2y+z=4 has infinitely many solutions, then the value of 22β−9α22\beta-9\alpha…MediumDeterminants
  21. Q21If the area of the region {(x,y):∣4−x2∣≤y≤x2, y≤4, x≥0}\left\{(x, y): \left|4-x^2\right|\le y\le x^2,\ y\le4,\ x\ge0\right\} is (802α−β)\left(\frac{80\sqrt{2}}{\alpha}-\beta\right),…HardApplication of IntegralsNumerical
  22. Q22The absolute difference between the squares of the radii of the two circles passing through the point (−9,4)(-9, 4) and touching the lines x+y=3x+y=3 and…HardConic SectionsNumerical
  23. Q23Let [⋅][\cdot] denote the greatest integer function. If ∫0e3[1ex−1]dx=α−log⁡e2\int_0^{e^3}\left[\frac{1}{e^{x-1}}\right]dx=\alpha-\log_e2, then α3\alpha^3 is equal to…MediumIntegralsNumerical
  24. Q24Let f:R→Rf:\mathbf{R}\to\mathbf{R} be a thrice differentiable odd function satisfying f′(x)≥0f'(x)\ge0, f′′(x)=f(x)f''(x)=f(x), f(0)=0f(0)=0, f′(0)=3f'(0)=3. Then…MediumDifferential EquationsNumerical
  25. Q25Three distinct numbers are selected randomly from the set {1,2,3,…,40}\{1, 2, 3, \ldots, 40\}. If the probability, that the selected numbers are in an…HardProbabilityNumerical

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.