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Friday, 9 October

JEE Main 2026 · April session

JEE Main 6 April 2026, Shift 2

75 questions: 15 numerical-answer and 60 multiple choice. 12 were rated hard and 21 easy. By hard questions it ranks 6th of the 9 2026 shifts Lumi analysed. The biggest chapter was Conic Sections, with 4 questions.

Questions
75
none dropped
Numerical answer
15
20% of the shift
Hard
12
16% of the shift
Chapters asked
55
11 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
25 Q · 5 numerical
Easy 10Medium 13Hard 2

Top chapters

Chemistry
25 Q · 5 numerical
Easy 8Medium 13Hard 4

Top chapters

Maths
25 Q · 5 numerical
Easy 3Medium 16Hard 6

Top chapters

Question format
  • Single correct44 Q
  • Numerical value15 Q
  • Other5 Q
  • Two statements5 Q
  • Diagram based4 Q
  • Match the list2 Q
What each question asks you to do
  • Multi-step37 Q
  • Calculation18 Q
  • Application7 Q
  • Conceptual6 Q
  • Recall5 Q
  • Data or graph1 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 percentage error in the calculated volume of a sphere, if there is 2% error in its diameter measurement, is __________.EasyUnits and Measurements
  2. Q27Match List - I with List - II. List - I A. Boltzmann constant B. Stefan's constant C. Planck's constant D. Gravitational constant List - II I.…MediumUnits and Measurements
  3. Q28A solid sphere (AA) of mass 5m5m and a spherical shell (BB) of mass mm, both having same radius, are placed on a rough surface. When a force of…HardSystem of Particles and Rotational Motion
  4. Q29A body of mass 1 kg moves along a straight line with a velocity v=2x2v=2x^2. The work done by the body during displacement from x=0x=0 to 5 m is…EasyWork, Energy and Power
  5. Q30A cylinder with adiabatic walls is closed at both ends and is divided into two compartments by a frictionless adiabatic piston. Ideal gas is filled…HardThermodynamics
  6. Q31For an electromagnetic wave propagating through vacuum, k⃗\vec{k}, E⃗\vec{E} and ω\omega represent propagation vector, electric field and angular…MediumElectromagnetic Waves
  7. Q32Two identical bodies A and B of equal masses have initial velocities v⃗1=4i^\vec{v}_1=4\hat{i} m/s and v⃗2=4j^\vec{v}_2=4\hat{j} m/s respectively. The body A…MediumSystem of Particles and Rotational Motion
  8. Q33Figure represents the extension (Δl\Delta l) of a wire of length 1 meter, suspended from the ceiling of the room at one end with a load WW…EasyMechanical Properties of Solids
  9. Q34A cylindrical vessel of 40 cm radius is completely filled with water and its capacity is 528 dm3^3 (dm : decimeter) The vessel is placed on a solid…MediumMechanical Properties of Fluids
  10. Q35If 2 mole of an ideal monoatomic gas at temperature TT, is mixed with 6 mole of another ideal monoatomic gas at temperature 2T2T then the…EasyThermodynamics
  11. Q36A spring stretches by 2 mm when it is loaded with a mass of 200 g. From equilibrium position the mass is further pulled down by 2 mm and released.…MediumOscillations
  12. Q37The electric potential as a function of x,yx, y is given by V=5(x2−y2)V=5(x^2-y^2) V. The electric field at a point (2, 3) m is __________ V/m.EasyElectrostatic Potential and Capacitance
  13. Q38A current of 30 A each flows in opposite directions in two conducting wires, placed parallel to each other at a distance of 8 cm. The magnetic field…EasyMoving Charges and Magnetism
  14. Q39A square loop of side 2 cm is placed in a time varying magnetic field with magnitude as B=0.4sin⁡(300t)B=0.4\sin(300t) Tesla. The normal to the plane of loop…MediumElectromagnetic Induction
  15. Q40A sphere of capacitance 100 pF is charged to a potential of 100 V. Another identical uncharged metal sphere is brought in contact with the charged…MediumElectrostatic Potential and Capacitance
  16. Q41The energy released if hydrogen atoms are combined to form 24He^{4}_{2}\mathrm{He} is __________ MeV. (Take binding energies per nucleon of…EasyNuclei
  17. Q42Angle of minimum deviation is equal to the half of the angle of prism in an equilateral prism. The refractive index of the prism is __________.EasyRay Optics and Optical Instruments
  18. Q43Refer to the logic circuit given below. For two inputs (A=1A=1, B=1B=1) and (A=0A=0, B=1B=1), output (YY) will be __________.EasySemiconductor Electronics: Materials, Devices and Simple Circuits
  19. Q44The velocity at which 6 kg mass (shown in figure) strikes the ground when it is released from a height of 6 m above the ground is __________ m/s.…MediumWork, Energy and Power
  20. Q45In a Young double slit experiment, the wavelength of incident light is 6000 Å, the separation between slits S1S_1 and S2S_2 is 5 cm and the distance…MediumWave Optics
  21. Q46A block takes tt time to slide down a plane inclined at 45∘45^\circ to the horizontal. If the surface is made smooth (frictionless), the block takes…MediumLaws of MotionNumerical
  22. Q47The de Broglie wavelength for an electron accelerated through the potential difference of V1V_1 volt is λ1\lambda_1. When the potential difference…EasyDual Nature of Radiation and MatterNumerical
  23. Q48A moving coil of galvanometer when shunted with 2 Ω\Omega resistance gives a full scale deflection for a current of 500 mA. When a resistance of…MediumMoving Charges and MagnetismNumerical
  24. Q49Two cells of emfs 1 V and 2 V and internal resistance 2 Ω\Omega and 1 Ω\Omega, respectively connected in parallel, gave a current of 1 A through…MediumCurrent ElectricityNumerical
  25. Q50A concave mirror of focal length 10 cm forms an image which is double the size of object when the object is placed at two different positions. The…MediumRay Optics and Optical InstrumentsNumerical

Chemistry Q51–75

  1. Q51Which of the following contain the same number of atoms ? (Given : Molar mass in g mol−1^{-1} of H, He, O and S are 1, 4, 16 and 32 respectively) A.…EasySome Basic Concepts of Chemistry
  2. Q52The Bohr radius of a hydrogen like species is 70.53 pm. The species and the stationary state (nn) are respectively (Given : Hydrogen atom Bohr…EasyStructure of Atom
  3. Q53Given below are two statements : Statement I : The number of compounds among SO2\mathrm{SO_2}, SO3\mathrm{SO_3}, SF4\mathrm{SF_4}, SF6\mathrm{SF_6} and…HardChemical Bonding and Molecular Structure
  4. Q54Match List - I with List - II. Given V1V_1 and V2V_2 are initial and final volumes respectively. List - I (Isothermal process) A. Reversible…MediumThermodynamics (Chemistry)
  5. Q55Given below are two statements : Statement I : H2O\mathrm{H_2O} molecules move from the chamber 1 to chamber 2. Statement II : The osmotic pressure…MediumSolutions
  6. Q56Given is a concentrated solution of a weak electrolyte AxBy\mathrm{A_xB_y} of concentration 'c' and dissociation constant 'K'. The degree of…HardSolutions
  7. Q57For a general redox reaction Anode : Red1→Ox1n1++n1e−\mathrm{Red_1\rightarrow Ox_1^{n_1+}+n_1e^-} Cathode : Ox2+n2e−→Red2n2−\mathrm{Ox_2+n_2e^-\rightarrow Red_2^{n_2-}} Which…MediumElectrochemistry
  8. Q58In a period, the first ionisation enthalpy of the element at extreme left and the negative electron gain enthalpy of the extreme right element,…EasyClassification of Elements and Periodicity in Properties
  9. Q59Given below are two statements : Statement I : F2O<H2O<Cl2O\mathrm{F_2O<H_2O<Cl_2O} is the correct trend in terms of bond angle. Statement II :…MediumChemical Bonding and Molecular Structure
  10. Q60The correct order of first (ΔiH1\Delta_iH_1) and second (ΔiH2\Delta_iH_2) ionisation enthalpy values of Cr and Mn are : A. ΔiH1\Delta_iH_1 : Cr > Mn B.…MediumThe d- and f-Block Elements
  11. Q61Which of the following sequences of hybridisation, geometry and magnetic nature are correct for the given coordination compounds ? A.…MediumCoordination Compounds
  12. Q62Given below are two statements : Statement I : A mixture of C12H22O11\mathrm{C_{12}H_{22}O_{11}} (sugar) and NaCl can be separated by dissolving sugar in…EasyOrganic Chemistry: Some Basic Principles and Techniques
  13. Q63Shown below is the structure of methyl acetate with three different α\alpha, β\beta and γ\gamma carbon - oxygen bonds. The correct order of bond…MediumAldehydes, Ketones and Carboxylic Acids
  14. Q64'xx' is the product which is obtained by the hydrolysis of prop-1-yne in the presence of mercuric sulphate under dilute acidic medium at 333 K.…MediumAldehydes, Ketones and Carboxylic Acids
  15. Q65An optically active alkyl bromide C4H9Br\mathrm{C_4H_9Br}, reacts with ethanolic KOH to form major compound [A] which reacts with bromine to give…MediumHaloalkanes and Haloarenes
  16. Q66Consider the following reaction. [figure: benzyl phenyl ether, C6H5−O−CH2−C6H5\mathrm{C_6H_5{-}O{-}CH_2{-}C_6H_5}] ++ HI →\rightarrow Product Statement I : In…EasyAlcohols, Phenols and Ethers
  17. Q67Consider the following organic reaction sequence. Choose the final product (X) from the following (consider the major product in all intermediate…HardAmines
  18. Q68The number of compounds from the following which can undergo reaction with Br2\mathrm{Br_2}/KOH (alcoholic) to give respective products and these…MediumAmines
  19. Q69Consider the following reactions. Total number of electrons in the π\pi bonds and lone pair of electrons in the product (X) is : [figure:…HardBiomolecules
  20. Q70Treatment of a gas 'X' with a freshly prepared ferrous sulphate solution gives a compound 'Y' as a brown ring. The compounds X and Y are.EasyThe p-Block Elements
  21. Q71An excess of AgNO3\mathrm{AgNO_3} is added to 100 mL of a 0.05 M solution of tetraaquadichloridochromium (III) chloride. The number of moles of AgCl…EasyCoordination CompoundsNumerical
  22. Q72An alkane (Y) requires 8 moles of oxygen for complete combustion and on chlorination with Cl2/hν\mathrm{Cl_2}/h\nu, (Y) gives only one monochlorinated…MediumHydrocarbonsNumerical
  23. Q73500 mL of 0.2 M MnO4−\mathrm{MnO_4^-} solution in basic medium when mixed with 500 mL of 1.5 M KI solution, oxidises iodide ions to liberate molecular…MediumRedox ReactionsNumerical
  24. Q74In a closed flask at 600 K, one mole of X2Y4(g)\mathrm{X_2Y_4(g)} attains equilibrium as given below : X2Y4(g)⇌2XY2(g)\mathrm{X_2Y_4(g)\rightleftharpoons 2XY_2(g)} At…MediumEquilibriumNumerical
  25. Q75Decomposition of a hydrocarbon follows the equation k=(5.5×1011 s−1) e−28000 KTk=(5.5\times10^{11}\,\mathrm{s^{-1}})\,e^{\frac{-28000\,\mathrm{K}}{T}}. The activation energy…EasyChemical KineticsNumerical

Maths Q1–25

  1. Q1Let f:R→Rf:\mathbf{R}\to\mathbf{R} be defined as f(x)=2x2−3x+23x2+x+3f(x)=\frac{2x^2-3x+2}{3x^2+x+3}. Then ff is :MediumRelations and Functions
  2. Q2Consider the quadratic equation (n2−2n+2)x2−3x+(n2−2n+2)2=0(n^2-2n+2)x^2-3x+(n^2-2n+2)^2=0, n∈Rn\in\mathbf{R}. Let α\alpha be the minimum value of the product of its roots…MediumComplex Numbers and Quadratic Equations
  3. Q3Let S={z∈C:z2+6 iz−3=0}S=\{z\in\mathbb{C}: z^2+\sqrt{6}\,iz-3=0\}. Then ∑z∈Sz8\sum_{z\in S} z^8 is equal to :MediumComplex Numbers and Quadratic Equations
  4. Q4The sum of all possible values of θ∈[0,2π]\theta\in[0,2\pi], for which the system of equations : xcos⁡3θ−8y−12z=0x\cos 3\theta-8y-12z=0 xcos⁡2θ+3y+3z=0x\cos 2\theta+3y+3z=0…MediumDeterminants
  5. Q5Let A=[100310931]A=\begin{bmatrix}1&0&0\\3&1&0\\9&3&1\end{bmatrix} and B=[bij]B=[b_{ij}], 1≤i,j≤31\le i,j\le 3. If B=A99−IB=A^{99}-I, then the value of…MediumMatrices
  6. Q6The sum 1+12(12+22)+13(12+22+32)+…1+\frac{1}{2}\left(1^2+2^2\right)+\frac{1}{3}\left(1^2+2^2+3^2\right)+\ldots upto 10 terms is equal to :MediumSequences and Series
  7. Q7A building has ground floor and 10 more floors. Nine persons enter in a lift at the ground floor. The lift goes up to the 10th^{\text{th}} floor.…MediumPermutations and Combinations
  8. Q8Let the mean and the variance of seven observations 2,4,α,8,β,12,142, 4, \alpha, 8, \beta, 12, 14, α<β\alpha<\beta, be 8 and 16 respectively. Then the quadratic…MediumStatistics
  9. Q9A bag contains 6 blue and 6 green balls. Pairs of balls are drawn without replacement until the bag is empty. The probability that each drawn pair…MediumProbability
  10. Q10Let C be a circle having centre in the first quadrant and touching the xx-axis at a distance of 3 units from the origin. If the circle C has an…MediumConic Sections
  11. Q11The eccentricity of an ellipse E with centre at the origin O is 32\frac{\sqrt{3}}{2} and its directrices are x=±463x=\pm\frac{4\sqrt{6}}{3}. Let…MediumConic Sections
  12. Q12Let x=9x=9 be a directrix of an ellipse E, whose centre is at the origin and eccentricity is 13\frac{1}{3}. Let P (α,0)(\alpha,0), α>0\alpha>0, be a…MediumConic Sections
  13. Q13If sin⁡(tan⁡−1(x2))=cot⁡(sin⁡−11−x2)\sin\left(\tan^{-1}\left(x\sqrt{2}\right)\right)=\cot\left(\sin^{-1}\sqrt{1-x^2}\right), x∈(0,1)x\in(0,1), then the value of xx is :MediumInverse Trigonometric Functions
  14. Q14The shortest distance between the lines x−41=y−32=z−2−3\frac{x-4}{1}=\frac{y-3}{2}=\frac{z-2}{-3} and x+22=y−64=z−5−5\frac{x+2}{2}=\frac{y-6}{4}=\frac{z-5}{-5} is :EasyThree Dimensional Geometry
  15. Q15Let a⃗=2i^+3j^+3k^\vec{a}=2\hat{i}+3\hat{j}+3\hat{k} and b⃗=6i^+3j^+3k^\vec{b}=6\hat{i}+3\hat{j}+3\hat{k}. Then the square of the area of the triangle with adjacent sides…EasyVector Algebra
  16. Q16Let lim⁡x→2(tan⁡(x−2))(rx2+(p−2)x−2p)(x−2)2=5\lim_{x\to2}\frac{(\tan(x-2))\left(rx^2+(p-2)x-2p\right)}{(x-2)^2}=5 for some r,p∈Rr, p\in\mathbf{R}. If the set of all possible values of q,…HardComplex Numbers and Quadratic Equations
  17. Q17Let A=[13−121α01−1]A=\begin{bmatrix}1&3&-1\\2&1&\alpha\\0&1&-1\end{bmatrix} be a singular matrix. Let f(x)=∫0x(t2+2t+3)dtf(x)=\int_0^x\left(t^2+2t+3\right)dt, x∈[1,α]x\in[1,\alpha].…MediumDeterminants
  18. Q18Let f:R→Rf:\mathbf{R}\to\mathbf{R} be such that f(xy)=f(x)f(y)f(xy)=f(x)f(y), for all x,y∈Rx,y\in\mathbf{R} and f(0)≠0f(0)\neq0. Let g:[1,∞)→Rg:[1,\infty)\to\mathbf{R} be a…HardDifferential Equations
  19. Q19The area of the region {(x,y):x2−8x≤y≤−x}\{(x,y): x^2-8x\le y\le -x\} is :EasyApplication of Integrals
  20. Q20The value of the integral ∫−11(x3+∣x∣+1x2+2∣x∣+1)dx\int_{-1}^{1}\left(\frac{x^3+|x|+1}{x^2+2|x|+1}\right)dx is equal to :MediumIntegrals
  21. Q21Let R={(x,y)∈N×N:log⁡e(x+y)≤2}R=\{(x,y)\in\mathbf{N}\times\mathbf{N}:\log_e(x+y)\le2\}. Then the minimum number of elements, required to be added in R to make it a…HardRelations and FunctionsNumerical
  22. Q22If (1−x3)10=∑r=010arxr(1−x)30−2r(1-x^3)^{10}=\sum_{r=0}^{10}a_r x^r(1-x)^{30-2r}, then 9a9a10\frac{9a_9}{a_{10}} is equal to __________.HardBinomial TheoremNumerical
  23. Q23Let the line x−y=4x-y=4 intersect the circle C : (x−4)2+(y+3)2=9(x-4)^2+(y+3)^2=9 at the points Q and R. If P(α,β)(\alpha,\beta) is a point on C such that PQ = PR,…MediumConic SectionsNumerical
  24. Q24Let the image of the point P(0,−5,0)(0,-5,0) in the line x−12=y1=z+1−2\frac{x-1}{2}=\frac{y}{1}=\frac{z+1}{-2} be the point R and the image of the point…HardThree Dimensional GeometryNumerical
  25. Q25Let f(x)={x3+8;x<0,x2−4;x≥0,f(x)=\begin{cases}x^3+8;&x<0,\\x^2-4;&x\ge0,\end{cases} and g(x)={(x−8)1/3;x<0,(x+4)1/2;x≥0.g(x)=\begin{cases}(x-8)^{1/3};&x<0,\\(x+4)^{1/2};&x\ge0.\end{cases} Then the…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 2026 shifts.