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Friday, 9 October

JEE Main 2026 · April session

JEE Main 6 April 2026, Shift 1

75 questions: 15 numerical-answer and 60 multiple choice. 12 were rated hard and 18 easy. By hard questions it ranks 6th of the 9 2026 shifts Lumi analysed. The biggest chapter was Conic Sections, with 5 questions.

Questions
75
none dropped
Numerical answer
15
20% of the shift
Hard
12
16% of the shift
Chapters asked
53
9 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
25 Q · 5 numerical
Easy 8Medium 15Hard 2

Top chapters

Chemistry
25 Q · 5 numerical
Easy 8Medium 14Hard 3

Top chapters

Maths
25 Q · 5 numerical
Easy 2Medium 16Hard 7

Top chapters

Question format
  • Single correct49 Q
  • Numerical value15 Q
  • Match the list4 Q
  • Two statements4 Q
  • Other3 Q
What each question asks you to do
  • Multi-step34 Q
  • Calculation26 Q
  • Conceptual7 Q
  • Application5 Q
  • Recall3 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 density ρ\rho of a uniform cylinder is determined by measuring its mass mm, length ll and diameter dd. The measured values of mm, ll and…EasyUnits and Measurements
  2. Q27The potential energy of a particle changes with distance xx from a fixed origin as V=Axx+BV=\frac{A\sqrt{x}}{x+B}, where AA and BB are constant with…MediumUnits and Measurements
  3. Q28The rain drop of mass 1 g, starts with zero velocity from a height of 1 km. It hits the ground with a speed of 5 m/s. The work done by the unknown…EasyWork, Energy and Power
  4. Q29Two blocks (PP and QQ) with respectively masses 2 kg and 1.5 kg are joined by a massless thread. These blocks are mounted on a frictionless pulley…HardLaws of Motion
  5. Q30A lift of mass 1600 kg is supported by thick iron wire. If the maximum stress which the wire can withstand is 4×1084\times10^8 N/m2^2 and its radius…MediumMechanical Properties of Solids
  6. Q31A solid sphere of radius 4 cm and mass 5 kg is rotating (rotation axis is passing through the centre of the sphere) with an angular velocity of 1200…MediumSystem of Particles and Rotational Motion
  7. Q32A smooth inclined plane ends in a vertical circular loop, as shown in the figure. A small body is released from height hh as shown. If the body…MediumWork, Energy and Power
  8. Q33The position of center of mass of three masses 2 kg, 3 kg and 15 kg placed with respect to mid point (pp) of normal bisector, as shown in the…EasySystem of Particles and Rotational Motion
  9. Q34The two wires AA and BB of equal cross-section but of different materials are joined together. The ratio of Young's modulus of wire AA and wire…EasyMechanical Properties of Solids
  10. Q35Two closed vessels of same volume are joined through a narrow tube and both vessels are filled with air of pressure 90 kPa and temperature 400 K.…MediumKinetic Theory
  11. Q36In interference experiment the path difference between two interfering waves at a point AA on the screen is λ/3\lambda/3, where λ\lambda is the…EasyWave Optics
  12. Q37A particle is executing simple harmonic motion. Its amplitude is AA and time period is 5 sec. The time required by it to move from x=Ax=A to…EasyOscillations
  13. Q38A thin half ring of radius 35 cm is uniformly charged with a total charge of QQ coulomb. If the magnitude of the electric field at centre of the…MediumElectric Charges and Fields
  14. Q39The maximum rated power of the LED is 2 mW and it is used in the circuit with input voltage of 5 V as shown in the figure below. The current through…MediumSemiconductor Electronics: Materials, Devices and Simple Circuits
  15. Q40A point light source emits E.M. waves in free space. A detector, placed at a distance of LL m, measures the intensity as I0I_0. The detector is now…EasyElectromagnetic Waves
  16. Q41A spherical interface lens of radius RR separates two media of refractive indices 1 and 1.4 respectively as shown in the figure below. A point…MediumRay Optics and Optical Instruments
  17. Q42A small cube of side 1 mm is placed at the centre of a circular loop of radius 10 cm carrying a current of 2 A. The magnetic energy stored inside…MediumMoving Charges and Magnetism
  18. Q43An inductor of inductance 10 mH having resistance of 100 Ω\Omega is connected to battery of E.M.F. 1.0 V through a switch as shown in the figure…MediumAlternating Current
  19. Q44The ratio of momentum of the photons of the 1st1^{\mathrm{st}} and 2nd2^{\mathrm{nd}} line of Balmer series of Hydrogen atoms is α/β\alpha/\beta. The…MediumAtoms
  20. Q45A LCR series circuit driven with Erms=90E_{rms}=90 V at frequency fd=30f_d=30 Hz has resistance R=80 ΩR=80\ \Omega, an inductance with inductive reactance…EasyAlternating Current
  21. Q46Refer to the circuit diagram given below. The heat generated across the 6 Ω6\ \Omega resistance in 100 second is α100\frac{\alpha}{100} J. The value of…HardCurrent ElectricityNumerical
  22. Q47An unpolarized light of intensity I0I_0 passes through polarizer and then through a certain optically active solution and finally it goes to…MediumWave OpticsNumerical
  23. Q48The energy released when 717.13\frac{7}{17.13} kg of 37Li^{7}_{3}\mathrm{Li} is converted into 24He^{4}_{2}\mathrm{He} by proton bombardment is…MediumNucleiNumerical
  24. Q49A three coulomb charge moves from the point (0,−2,−5)(0,-2,-5) to the point (5,1,2)(5,1,2) in an electric field expressed as…MediumElectrostatic Potential and CapacitanceNumerical
  25. Q50A certain gas is isothermally compressed to (13)rd\left(\frac{1}{3}\right)^{\mathrm{rd}} of its initial volume (V0=3V_0=3 litre) by applying required…MediumThermodynamicsNumerical

Chemistry Q51–75

  1. Q51An oxide of iron contains 69.9% iron, its empirical formula, is: (Given : Molar mass of Fe and O are 56 and 16 g mol−1^{-1} respectively.)EasySome Basic Concepts of Chemistry
  2. Q52If shortest wavelength of hydrogen atom in Lyman series is xx, then longest wavelength in Balmer series of He+\mathrm{He^+} is:MediumStructure of Atom
  3. Q53Match the LIST-I with LIST-II List-I (Orbital) | List-II (Radial nodes and nodal plane) A. 2s | I. 1 Radial node + two nodal planes B. 3s | II. 1…MediumStructure of Atom
  4. Q54The pairs among A=[SO32−,CO32−]\mathrm{A}=\left[\mathrm{SO_3^{2-},CO_3^{2-}}\right], B=[O22−,F2]\mathrm{B}=\left[\mathrm{O_2^{2-},F_2}\right],…MediumChemical Bonding and Molecular Structure
  5. Q55Arrange the following isothermal processes in order of the magnitude of the work (p −- V) involved between states 1 and 2. A. Expansion in single…MediumThermodynamics (Chemistry)
  6. Q56When 0.25 moles of a non-volatile, non-ionizable solute was dissolved in 1 mole of a solvent the vapor pressure of solution was xx % of vapor…EasySolutions
  7. Q57One mole each of He and A(g) are taken in a 10 L closed flask and heated to 400 K to establish the following equilibrium.…MediumEquilibrium
  8. Q58Consider the following data. Electrolyte | Λm∘\Lambda^\circ_m (S cm2^2 mol−1^{-1}) BaCl2\mathrm{BaCl_2} | x1x_1 H2SO4\mathrm{H_2SO_4} | x2x_2…HardElectrochemistry
  9. Q59Given below are two statements: Statement I: Aluminium is more electropositive than thallium as the standard electrode potential value of…MediumThe p-Block Elements
  10. Q60The correct statements among the following are. A. Basic vanadium oxide is used in the manufacture of H2SO4\mathrm{H_2SO_4}. B. The spin-only magnetic…HardThe d- and f-Block Elements
  11. Q61Match the LIST-I with LIST-II List-I (Electronic configuration of tetrahedral metal ion) | List-II (Crystal Field Stabilization Energy (Δt\Delta_t))…MediumCoordination Compounds
  12. Q62Which of the following are true about the energy of the given d-orbitals of a tetrahedral complex? A. dxy=dxz>dx2−y2d_{xy}=d_{xz}>d_{x^2-y^2} B.…EasyCoordination Compounds
  13. Q63Rf\mathrm{R_f} value for 2-methylpropene in a solvent system (Ethyl acetate + ether) is 0.42. 2-methylpropene is treated with dilute…MediumOrganic Chemistry: Some Basic Principles and Techniques
  14. Q64Given below are two statements: Statement I: 2,6-diethylcyclohexanone and 6-methyl-2-n-propylcyclohexanone are metamers. Statement II: 2,2,6,6 -…MediumAldehydes, Ketones and Carboxylic Acids
  15. Q65Given below are two statements: Statement I: Methane can be prepared by decarboxylation of sodium ethanoate, Kolbe's electrolysis of sodium acetate…MediumHydrocarbons
  16. Q66Given below are two statements: Statement I: 3-phenylpropene reacts with HBr and gives secondary alkyl bromide having a chiral carbon atom as the…MediumAmines
  17. Q67Consider the following sequence of reactions [skeletal structure: a central carbon with a vertical line up and down, a line to the left, and OH on…HardAlcohols, Phenols and Ethers
  18. Q68Arrange the following compounds according to increasing order of boiling points. n−C4H9OH\mathrm{n-C_4H_9OH} (A), n−C4H9NH2\mathrm{n-C_4H_9NH_2} (B),…EasyAmines
  19. Q69Match the LIST-I with LIST-II List-I (Deficiency Disease) | List-II (Vitamin) A. Scurvy | I. Pyridoxine B. Convulsions | II. Vitamin A C. Cheilosis…EasyBiomolecules
  20. Q70Match the LIST-I with LIST-II List-I (Amino acid) | List-II (Positive reaction/Test for functional group present in side chain of amino acid) A.…MediumBiomolecules
  21. Q71First and second ionization enthalpies of lithium are 520 kJ mol−1^{-1} and 7297 kJ mol−1^{-1} respectively. Energy required to convert 3.5 mg…EasyClassification of Elements and Periodicity in PropertiesNumerical
  22. Q72Consider the following sequence of reactions. [C6H5−N=N−NH−C6H5\mathrm{C_6H_5-N=N-NH-C_6H_5}]…MediumAminesNumerical
  23. Q734.7 g of phenol is heated with Zn to give product X. If this reaction goes to 60% completion then the number of moles of compound X formed will be…EasyAlcohols, Phenols and EthersNumerical
  24. Q74Sucrose hydrolyses in acidic medium into glucose and fructose by first order rate law with t1/2=3\mathrm{t_{1/2}}=3 hour. The percentage of sucrose…EasyChemical KineticsNumerical
  25. Q75Consider the reaction X⇌Y\mathrm{X\rightleftharpoons Y} at 300 K. If ΔHθ\Delta H^\theta and K are 28.40 kJ mol−1^{-1} and 1.8×10−71.8\times10^{-7} at the…MediumThermodynamics (Chemistry)Numerical

Maths Q1–25

  1. Q1Let [⋅][\cdot] denote the greatest integer function. If the domain of the function f(x)=sin⁡−1(x+[x]3)f(x)=\sin^{-1}\left(\frac{x+[x]}{3}\right) is [α,β)[\alpha, \beta),…MediumInverse Trigonometric Functions
  2. Q2Let one root of the quadratic equation in xx: (k2−15k+27)x2+9(k−1)x+18=0(k^2-15k+27)x^2+9(k-1)x+18=0 be twice the other. Then the length of the latus rectum of the…MediumConic Sections
  3. Q3Let e1e_1 and e2e_2 be two distinct roots of the equation x2−ax+2=0x^2-ax+2=0. Let the sets {a∈R:e1\{a\in\mathbb{R}: e_1 and e2e_2 are the eccentricities of…HardConic Sections
  4. Q4Let the set of all values of k∈Rk\in\mathbb{R} such that the equation z(z‾+2+i)+k(2+3i)=0z(\overline{z}+2+i)+k(2+3i)=0, z∈Cz\in\mathbb{C}, has at least one solution,…HardComplex Numbers and Quadratic Equations
  5. Q5The value of 13−23+33−…+1531^3-2^3+3^3-\ldots+15^3 is:MediumSequences and Series
  6. Q6The sum of the first ten terms of an A.P. is 160 and the sum of the first two terms of a G.P. is 8. If the first term of the A.P. is equal to the…MediumSequences and Series
  7. Q7The number of 4-letter words, with or without meaning, each consisting of two vowels and two consonants that can be formed from the letters of the…MediumPermutations and Combinations
  8. Q8If the coefficients of the middle terms in the binomial expansions of (1+αx)26(1+\alpha x)^{26} and (1−αx)28(1-\alpha x)^{28}, α≠0\alpha\neq 0, are equal, then…EasyBinomial Theorem
  9. Q9A data consists of 20 observations x1,x2,…,x20x_1, x_2,\ldots, x_{20}. If ∑i=120(xi+5)2=2500\sum_{i=1}^{20}(x_i+5)^2=2500 and ∑i=120(xi−5)2=100\sum_{i=1}^{20}(x_i-5)^2=100, then the ratio…MediumStatistics
  10. Q10A bag contains (N+1)(\mathrm{N}+1) coins −- N fair coins, and one coin with 'Head' on both sides. A coin is selected at random and tossed. If the…EasyProbability
  11. Q11If the eccentricity ee of the hyperbola x2a2−y2b2=1\frac{x^2}{a^2}-\frac{y^2}{b^2}=1, passing through (6,43)\left(6,4\sqrt{3}\right), satisfies 15(e2+1)=34e15(e^2+1)=34e,…MediumConic Sections
  12. Q12Let chord PQ of length 3133\sqrt{13} of the parabola y2=12xy^2=12x be such that the ordinates of points P and Q are in the ratio 1:2. If the chord PQ…HardConic Sections
  13. Q13Let 0<α<10<\alpha<1, β=13α\beta=\frac{1}{3\alpha} and tan⁡−1(1−α)+tan⁡−1(1−β)=π4\tan^{-1}(1-\alpha)+\tan^{-1}(1-\beta)=\frac{\pi}{4}. Then 6(α+β)6(\alpha+\beta) is equal to:MediumInverse Trigonometric Functions
  14. Q14Let S={θ∈(−2π,2π):cos⁡θ+1=3sin⁡θ}\mathrm{S}=\left\{\theta\in(-2\pi,2\pi):\cos\theta+1=\sqrt{3}\sin\theta\right\}. Then ∑θ∈Sθ\sum_{\theta\in \mathrm{S}}\theta is equal to:MediumTrigonometric Functions
  15. Q15Let the image of the point P(1,6,a)\mathrm{P}(1,6,a) in the line L:x1=y−12=z−a+1b\mathrm{L}:\frac{x}{1}=\frac{y-1}{2}=\frac{z-a+1}{b}, b>0b>0, be…HardThree Dimensional Geometry
  16. Q16Let a line L be perpendicular to both the lines L1:x+13=y+35=z+57\mathrm{L}_1:\frac{x+1}{3}=\frac{y+3}{5}=\frac{z+5}{7} and…MediumThree Dimensional Geometry
  17. Q17The value of lim⁡x→0(x2sin⁡2xx2−sin⁡2x)\lim_{x\to 0}\left(\frac{x^2\sin^2 x}{x^2-\sin^2 x}\right) is:MediumLimits and Derivatives
  18. Q18The value of the integral ∫−π4π4(32cos⁡4x1+esin⁡x)dx\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}}\left(\frac{32\cos^4 x}{1+e^{\sin x}}\right)dx is:MediumIntegrals
  19. Q19The area of the region {(x,y):0≤y≤6−x, y2≥4x−3, x≥0}\{(x,y): 0\le y\le 6-x,\ y^2\ge 4x-3,\ x\ge 0\} is:MediumApplication of Integrals
  20. Q20Let ee be the base of natural logarithm and let f:{1,2,3,4}→{1,e,e2,e3}f:\{1,2,3,4\}\to\{1,e,e^2,e^3\} and…HardApplication of Integrals
  21. Q21Let A=[−11−1101001]A=\begin{bmatrix}-1&1&-1\\1&0&1\\0&0&1\end{bmatrix} satisfy…MediumDeterminantsNumerical
  22. Q22Let the centre of the circle x2+y2+2gx+2fy+25=0x^2+y^2+2gx+2fy+25=0 be in the first quadrant and lie on the line 2x−y=42x-y=4. Let the area of an equilateral triangle…MediumConic SectionsNumerical
  23. Q23If a⃗=i^+j^+k^\vec{a}=\hat{i}+\hat{j}+\hat{k}, b⃗=j^−k^\vec{b}=\hat{j}-\hat{k} and c⃗\vec{c} be three vectors such that a⃗×c⃗=b⃗\vec{a}\times\vec{c}=\vec{b} and…MediumVector AlgebraNumerical
  24. Q24For the functions f(θ)=αtan⁡2θ+βcot⁡2θf(\theta)=\alpha\tan^2\theta+\beta\cot^2\theta, and g(θ)=αsin⁡2θ+βcos⁡2θg(\theta)=\alpha\sin^2\theta+\beta\cos^2\theta, α>β>0\alpha>\beta>0, let…HardSequences and SeriesNumerical
  25. Q25Let y=y(x)y=y(x) be the solution of the differential equation (x2−xx2−1)dy+(y(x−x2−1)−x)dx=0\left(x^2-x\sqrt{x^2-1}\right)dy+\left(y\left(x-\sqrt{x^2-1}\right)-x\right)dx=0,…HardDifferential 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 2026 shifts.