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Friday, 9 October

JEE Main 2025 · April session

JEE Main 7 April 2025, Shift 2

75 questions: 15 numerical-answer and 60 multiple choice. 9 were rated hard and 18 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
56
9 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 5Medium 19Hard 1

Top chapters

Maths
25 Q · 5 numerical
Easy 0Medium 17Hard 8

Top chapters

Question format
  • Single correct41 Q
  • Numerical value15 Q
  • Match the list5 Q
  • Assertion–reason5 Q
  • Other4 Q
  • Two statements3 Q
  • Diagram based2 Q
What each question asks you to do
  • Multi-step34 Q
  • Conceptual16 Q
  • Calculation13 Q
  • Recall6 Q
  • Application5 Q
  • Diagram reading1 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 dimension of μ0ϵ0\sqrt{\frac{\mu_0}{\epsilon_0}} is equal to that of : (μ0\mu_0 = Vacuum permeability and ϵ0\epsilon_0 = Vacuum permittivity)MediumUnits and Measurements
  2. Q27Match List - I with List - II. List - I | List - II (A) Mass density | (I) [ML2T−3][ML^2T^{-3}] (B) Impulse | (II) [MLT−1][MLT^{-1}] (C) Power | (III)…EasyUnits and Measurements
  3. Q28An object with mass 500 g moves along xx-axis with speed v=4xv=4\sqrt{x} m/s. The force acting on the object is :MediumLaws of Motion
  4. Q29A helicopter flying horizontally with a speed of 360 km/h at an altitude of 2 km, drops an object at an instant. The object hits the ground at a…EasyMotion in a Plane
  5. Q30Which one of the following forces cannot be expressed in terms of potential energy ?EasyWork, Energy and Power
  6. Q31Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The radius vector from…EasyGravitation
  7. Q32A capillary tube of radius 0.1 mm is partly dipped in water (surface tension 70 dyn/cm and glass water contact angle ≈0∘\approx 0^\circ) with…MediumMechanical Properties of Fluids
  8. Q33The helium and argon are put in the flask at the same room temperature (300 K). The ratio of average kinetic energies (per molecule) of helium and…EasyKinetic Theory
  9. Q34Match List - I with List - II. List - I | List - II (A) Isothermal | (I) ΔW\Delta W (work done) =0=0 (B) Adiabatic | (II) ΔQ\Delta Q (supplied heat)…EasyThermodynamics
  10. Q35The equation of a wave travelling on a string is y=sin⁡[20πx+10πt]y=\sin[20\pi x+10\pi t], where xx and t are distance and time in SI units. The minimum distance…MediumWaves
  11. Q36Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Magnetic monopoles do not…EasyMagnetism and Matter
  12. Q37A dipole with two electric charges of 2 μ2\ \muC magnitude each, with separation distance 0.5 μ0.5\ \mum, is placed between the plates of a capacitor…MediumElectrostatic Potential and Capacitance
  13. Q38Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The outer body of an air…EasyElectric Charges and Fields
  14. Q39The unit of 2Iϵ0c\sqrt{\frac{2I}{\epsilon_0 c}} is : (II = intensity of an electromagnetic wave, cc : speed of light)MediumElectromagnetic Waves
  15. Q40A mirror is used to produce an image with magnification of 14\frac{1}{4}. If the distance between object and its image is 40 cm, then the focal…MediumRay Optics and Optical Instruments
  16. Q41Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Refractive index of glass…EasyRay Optics and Optical Instruments
  17. Q42A transparent block A having refractive index μ=1.25\mu=1.25 is surrounded by another medium of refractive index μ=1.0\mu=1.0 as shown in figure. A light…MediumRay Optics and Optical Instruments
  18. Q43A photoemissive substance is illuminated with a radiation of wavelength λi\lambda_i so that it releases electrons with de-Broglie wavelength…MediumDual Nature of Radiation and Matter
  19. Q44Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The density of the copper…EasyNuclei
  20. Q45Consider the following logic circuit. The output is Y=0Y=0 when :EasySemiconductor Electronics: Materials, Devices and Simple Circuits
  21. Q46MM and RR be the mass and radius of a disc. A small disc of radius R3\frac{R}{3} is removed from the bigger disc as shown in figure. The moment of…MediumSystem of Particles and Rotational MotionNumerical
  22. Q47Two cylindrical rods A and B made of different materials, are joined in a straight line. The ratios of lengths, radii and thermal conductivites of…MediumThermal Properties of MatterNumerical
  23. Q48An inductor of reactance 100 Ω100\ \Omega, a capacitor of reactance 50 Ω50\ \Omega, and a resistor of resistance 50 Ω50\ \Omega are connected in series…EasyAlternating CurrentNumerical
  24. Q49A parallel plate capacitor has charge 5×10−65\times10^{-6} C. A dielectric slab is inserted between the plates and almost fills the space between the…MediumElectrostatic Potential and CapacitanceNumerical
  25. Q50The electric field in a region is given by E⃗=(2i^+4j^+6k^)×103\vec{E}=\left(2\hat{i}+4\hat{j}+6\hat{k}\right)\times10^3 N/C. The flux of the field through a…EasyElectric Charges and FieldsNumerical

Chemistry Q51–75

  1. Q51The extra stability of half-filled subshell is due to : (A) Symmetrical distribution of electrons (B) Smaller coulombic repulsion energy (C) The…MediumStructure of Atom
  2. Q52The correct statement amongst the following is :MediumThermodynamics (Chemistry)
  3. Q53The hydration energies of K+\mathrm{K^+} and Cl−\mathrm{Cl^-} are −x-x and −y-y kJ/mol respectively. If lattice energy of KCl is −z-z kJ/mol, then…EasySolutions
  4. Q54Match List - I with List - II. List - I | List - II (A) Solution of chloroform and acetone | (I) Minimum boiling azeotrope (B) Solution of ethanol…MediumSolutions
  5. Q55Liquid A and B form an ideal solution. The vapour pressures of pure liquids A and B are 350 and 750 mm Hg respectively at the same temperature. If…MediumSolutions
  6. Q56Given below are two statements : 1 M aqueous solutions of each of Cu(NO3)2\mathrm{Cu(NO_3)_2}, AgNO3\mathrm{AgNO_3}, Hg2(NO3)2\mathrm{Hg_2(NO_3)_2},…MediumElectrochemistry
  7. Q57A(g)→B(g)+C(g)\mathrm{A(g)\to B(g)+C(g)} is a first order reaction. Time | tt | ∞\infty psystemp_{system} | ptp_t | p∞p_\infty The reaction was started with…MediumChemical Kinetics
  8. Q58In SO2\mathrm{SO_2}, NO2−\mathrm{NO_2^-} and N3−\mathrm{N_3^-} the hybridizations at the central atom are respectively :EasyChemical Bonding and Molecular Structure
  9. Q59Choose the incorrect trend in the atomic radii (r) of the elements.EasyClassification of Elements and Periodicity in Properties
  10. Q60The correct statements from the following are : (A) Tl3+\mathrm{Tl^{3+}} is a powerful oxidising agent (B) Al3+\mathrm{Al^{3+}} does not get reduced…MediumThe p-Block Elements
  11. Q61'X' is the number of acidic oxides among VO2\mathrm{VO_2}, V2O3\mathrm{V_2O_3}, CrO3\mathrm{CrO_3}, V2O5\mathrm{V_2O_5} and Mn2O7\mathrm{Mn_2O_7}. The primary…MediumThe d- and f-Block Elements
  12. Q62The number of unpaired electrons responsible for the paramagnetic nature of the following complex species are respectively :…MediumCoordination Compounds
  13. Q63Match List - I with List - II. List - I (Complex) | List - II (Primary valency and Secondary valency) (A) [Co(en)2Cl2]Cl\mathrm{[Co(en)_2Cl_2]Cl} | (I) 3, 6 (B)…MediumCoordination Compounds
  14. Q64Mixture of 1 g each of chlorobenzene, aniline and benzoic acid is dissolved in 50 mL ethyl acetate and placed in a separating funnel. 5 M NaOH (30…MediumAmines
  15. Q65Given below are two statements : Statement (I) : [figure: cis-1,2-dichloroethene] is more polar than [figure: cis-1,2-dibromoethene]. Statement (II)…MediumHaloalkanes and Haloarenes
  16. Q66The number of optically active products obtained from the complete ozonolysis of the given compound is :…MediumAldehydes, Ketones and Carboxylic Acids
  17. Q67Match List - I with List - II. List - I (Conversion) | List - II (Reagents, Conditions used) (A) [figure: chlorobenzene to phenol] | (I) Warm,…MediumAlcohols, Phenols and Ethers
  18. Q68"P" is an optically active compound with molecular formula C6H12O\mathrm{C_6H_{12}O}. When 'P' is treated with 2, 4-dinitrophenylhydrazine, it gives a…MediumAldehydes, Ketones and Carboxylic Acids
  19. Q69The descending order of basicity of following amines is : (A) aniline (C6H5NH2\mathrm{C_6H_5NH_2}) (B) 4-methoxyaniline (MeO at para position to…MediumAmines
  20. Q70Given below are two statements : Statement (I) : On hydrolysis, oligo peptides give rise to fewer number of α\alpha-amino acids while proteins give…EasyBiomolecules
  21. Q71Butane reacts with oxygen to produce carbon dioxide and water following the equation given below.…EasySome Basic Concepts of ChemistryNumerical
  22. Q72One litre buffer solution was prepared by adding 0.10 mol each of NH3\mathrm{NH_3} and NH4Cl\mathrm{NH_4Cl} in deionised water. The change in pH on…MediumEquilibriumNumerical
  23. Q73The number of paramagnetic metal complex species among [Co(NH3)6]3+\mathrm{[Co(NH_3)_6]^{3+}}, [Co(C2O4)3]3−\mathrm{[Co(C_2O_4)_3]^{3-}}, [MnCl6]3−\mathrm{[MnCl_6]^{3-}},…HardCoordination CompoundsNumerical
  24. Q74In Dumas' method 292 mg of an organic compound released 50 mL of nitrogen gas (N2\mathrm{N_2}) at 300 K temperature and 715 mm Hg pressure. The…MediumOrganic Chemistry: Some Basic Principles and TechniquesNumerical
  25. Q75Identify the structure of the final product (D) in the following sequence of the reactions :…MediumHaloalkanes and HaloarenesNumerical

Maths Q1–25

  1. Q1Let A={(α,β)∈R×R:∣α−1∣≤4 and ∣β−5∣≤6}A=\{(\alpha,\beta)\in\mathbf{R}\times\mathbf{R}: |\alpha-1|\le 4 \text{ and } |\beta-5|\le 6\} and…MediumConic Sections
  2. Q2If the range of the function f(x)=5−xx2−3x+2f(x)=\frac{5-x}{x^2-3x+2}, x≠1,2x\ne 1,2, is (−∞,α]∪[β,∞)(-\infty,\alpha]\cup[\beta,\infty), then α2+β2\alpha^2+\beta^2 is equal to :MediumRelations and Functions
  3. Q3The number of real roots of the equation x∣x−2∣+3∣x−3∣+1=0x|x-2|+3|x-3|+1=0 is :MediumComplex Numbers and Quadratic Equations
  4. Q4If the locus of z∈Cz\in\mathbf{C}, such that Re(z−12z+i)+Re(zˉ−12zˉ−i)=2\mathrm{Re}\left(\frac{z-1}{2z+i}\right)+\mathrm{Re}\left(\frac{\bar z-1}{2\bar z-i}\right)=2, is a…HardComplex Numbers and Quadratic Equations
  5. Q5Let the system of equations x+5y−z=1x+5y-z=1 4x+3y−3z=74x+3y-3z=7 24x+y+λz=μ24x+y+\lambda z=\mu λ,μ∈R\lambda,\mu\in\mathbf{R}, have infinitely many solutions. Then the…HardDeterminants
  6. Q6Let ana_n be the nthn^{\mathrm{th}} term of an A.P. If Sn=a1+a2+a3+…+an=700S_n=a_1+a_2+a_3+\ldots+a_n=700, a6=7a_6=7 and S7=7S_7=7, then ana_n is equal to :MediumSequences and Series
  7. Q7If the sum of the second, fourth and sixth terms of a G.P. of positive terms is 21 and the sum of its eighth, tenth and twelfth terms is 15309, then…MediumSequences and Series
  8. Q8Let pp be the number of all triangles that can be formed by joining the vertices of a regular polygon PP of nn sides and qq be the number of all…MediumPermutations and Combinations
  9. Q9Let a random variable XX take values 0,1,2,30, 1, 2, 3 with P(X=0)=P(X=1)=pP(X=0)=P(X=1)=p, P(X=2)=P(X=3)P(X=2)=P(X=3) and E(X2)=2E(X)E(X^2)=2E(X). Then the value of 8p−18p-1 is :MediumProbability
  10. Q10A bag contains 19 unbiased coins and one coin with head on both sides. One coin drawn at random is tossed and head turns up. If the probability that…MediumProbability
  11. Q11If the orthocenter of the triangle formed by the lines y=x+1y=x+1, y=4x−8y=4x-8 and y=mx+cy=mx+c is at (3,−1)(3,-1), then m−cm-c is :MediumStraight Lines
  12. Q12Let the length of a latus rectum of an ellipse x2a2+y2b2=1\frac{x^2}{a^2}+\frac{y^2}{b^2}=1 be 10. If its eccentricity is the minimum value of the function…MediumConic Sections
  13. Q13Let e1e_1 and e2e_2 be the eccentricities of the ellipse x2b2+y225=1\frac{x^2}{b^2}+\frac{y^2}{25}=1 and the hyperbola x216−y2b2=1\frac{x^2}{16}-\frac{y^2}{b^2}=1,…MediumConic Sections
  14. Q14The number of solutions of the equation cos⁡2θcos⁡θ2+cos⁡5θ2=2cos⁡35θ2\cos 2\theta\cos\frac{\theta}{2}+\cos\frac{5\theta}{2}=2\cos^3\frac{5\theta}{2} in…HardTrigonometric Functions
  15. Q15Let a⃗\vec{a} and b⃗\vec{b} be the vectors of the same magnitude such that…MediumVector Algebra
  16. Q16If the equation of the line passing through the point (0,−12,0)\left(0,-\frac{1}{2},0\right) and perpendicular to the lines…MediumThree Dimensional Geometry
  17. Q17Consider the lines L1:x−1=y−2=zL_1: x-1=y-2=z and L2:x−2=y=z−1L_2: x-2=y=z-1. Let the feet of the perpendiculars from the point P(5,1,−3)P(5,1,-3) on the lines L1L_1 and L2L_2…MediumThree Dimensional Geometry
  18. Q18Let f:R→Rf:\mathbf{R}\to\mathbf{R} be a polynomial function of degree four having extreme values at x=4x=4 and x=5x=5. If…MediumApplication of Derivatives
  19. Q19Let y=y(x)y=y(x) be the solution of the differential equation (x2+1)y′−2xy=(x4+2x2+1)cos⁡x(x^2+1)y'-2xy=(x^4+2x^2+1)\cos x, y(0)=1y(0)=1. Then ∫−33y(x) dx\int_{-3}^{3}y(x)\,dx is :MediumDifferential Equations
  20. Q20If the area of the region {(x,y):1+x2≤y≤min⁡{x+7, 11−3x}}\{(x,y): 1+x^2\le y\le \min\{x+7,\ 11-3x\}\} is AA, then 3A3A is equal toMediumApplication of Integrals
  21. Q21The sum of the series…HardBinomial TheoremNumerical
  22. Q22Let the lengths of the transverse and conjugate axes of a hyperbola in standard form be 2a2a and 2b2b, respectively, and one focus and the…HardConic SectionsNumerical
  23. Q23For t>−1t>-1, let αt\alpha_t and βt\beta_t be the roots of the equation…HardLimits and DerivativesNumerical
  24. Q24If…HardIntegralsNumerical
  25. Q25If the function f(x)=tan⁡(tan⁡x)−sin⁡(sin⁡x)tan⁡x−sin⁡xf(x)=\frac{\tan(\tan x)-\sin(\sin x)}{\tan x-\sin x} is continuous at x=0x=0, then f(0)f(0) is equal to ________.HardContinuity and DifferentiabilityNumerical

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.