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Friday, 9 October

JEE Main 2026 · April session

JEE Main 5 April 2026, Shift 1

75 questions: 15 numerical-answer and 60 multiple choice. 7 were rated hard and 23 easy. By hard questions it ranks 8th of the 9 2026 shifts Lumi analysed. The biggest chapter was Mechanical Properties of Solids, with 3 questions.

Questions
75
none dropped
Numerical answer
15
20% of the shift
Hard
7
9% of the shift
Chapters asked
54
13 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Question format
  • Single correct40 Q
  • Numerical value15 Q
  • Other11 Q
  • Two statements5 Q
  • Diagram based4 Q
What each question asks you to do
  • Multi-step30 Q
  • Calculation21 Q
  • Application9 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. Q26In a Vernier calipers, when both jaws touch each other, zero of the Vernier scale is shifted to the right of zero of the main scale and…EasyUnits and Measurements
  2. Q27LL, CC and RR represents physical quantities inductance, capacitance and resistance respectively. The dimensional formula…MediumUnits and Measurements
  3. Q28When one moves from a point 16 km below the earth's surface to a point 16 km above the earth's surface. The change in gg is approximately…MediumGravitation
  4. Q29Three masses m1=4m_1 = 4 kg, m2=4m_2 = 4 kg and m3=6m_3 = 6 kg are suspended from a fixed smooth frictionless pulley as shown in the figure below. The…MediumLaws of Motion
  5. Q30A wedge YY with mass of 10 kg and all frictionless surfaces and the inclined surface making 37∘37^\circ with horizontal. A block XX with mass 2 kg…HardLaws of Motion
  6. Q31The Young's modulus of steel wire of radius rr and length LL is YY. If the radius rr and length LL of the wire are doubled then the value of YYEasyMechanical Properties of Solids
  7. Q32Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Statement I: Change in internal energy of a…MediumThermodynamics
  8. Q33Consider the following statements: A. Zeroth law of thermodynamics gives concept of temperature B. First law of thermodynamics gives concept of…MediumThermodynamics
  9. Q34Refer to the figure given below. The values of I1I_1, I2I_2 and I3I_3 are ________.MediumCurrent Electricity
  10. Q35An electron of mass mm is moving in an electric field E⃗=−2E0i^\vec{E} = -2E_0\hat{i} (E0E_0 = constant >0> 0), with an initial velocity…MediumDual Nature of Radiation and Matter
  11. Q36In the hydrogen atom, the electron makes a transition from the higher orbit (ii) to a lower orbit (ff). The ratio of the radius of the orbits in…EasyAtoms
  12. Q37A displacement current of 4.0 A can be set up in the space between two parallel plates of 6 μ6\ \muF capacitor. The rate of change of potential…EasyElectromagnetic Waves
  13. Q38Refer to the figure given below, current between terminals AA and BB is ________ A.MediumCurrent Electricity
  14. Q39In Young's double slit experiment, the fringe width of the interference pattern produced on the screen is 2.4 μ2.4\ \mum. If the experiment is carried…EasyWave Optics
  15. Q40A ray of light passing through an equilateral prism is having velocity 2.12×1082.12 \times 10^8 m/s in the prism material, then the minimum angle of…MediumRay Optics and Optical Instruments
  16. Q41Light source having wavelength 331 nm is used to generate photo-electrons whose stopping potential is 0.2 V. The work function of the used metal in…EasyDual Nature of Radiation and Matter
  17. Q42A compound microscope is designed with two symmetric biconvex lenses. The objective lens is cut vertically, creating two identical plano-convex…HardRay Optics and Optical Instruments
  18. Q43Two wires as shown in the figure below, made of steel and have breaking stress of 12×108 N/m212 \times 10^8\ \mathrm{N/m^2}. Area of cross-section of upper…MediumMechanical Properties of Solids
  19. Q44An a.c. source of angular frequency ω\omega is connected across a resistor RR and a capacitor CC in series. The current is observed as II. Now…MediumAlternating Current
  20. Q45For the given logic circuit, which of the following inputs combination will make both LED-1 and LED-2 to glow?EasySemiconductor Electronics: Materials, Devices and Simple Circuits
  21. Q46A cube has side length 5 cm and modulus of rigidity 105 N/m210^5\ \mathrm{N/m^2}. The displacement produced by a force of 10 N in the upper face of cube…EasyMechanical Properties of SolidsNumerical
  22. Q47From 18 m height above the ground a ball is dropped from rest. The height above the ground at which the magnitude of velocity equal to the magnitude…MediumMotion in a Straight LineNumerical
  23. Q48A transverse wave on a string is described by y=3sin⁡(36t+0.018x+π/4)y = 3\sin(36t + 0.018x + \pi/4), where x,yx, y are in cm and tt in seconds. The least distance…MediumWavesNumerical
  24. Q49The charged particle moving in a uniform magnetic field of (3i^+2j^) T(3\hat{i} + 2\hat{j})\,\mathrm{T} has an acceleration…MediumMoving Charges and MagnetismNumerical
  25. Q50In the given circuit below inductance values of L1L_1, L2L_2 and L3L_3 are same. The magnetic energy stored in the entire circuit is (UtU_t) and…MediumElectromagnetic InductionNumerical

Chemistry Q51–75

  1. Q51How many grams of residue is obtained by heating 2.76 g of silver carbonate? (Given : Molar mass of C, O and Ag are 12, 16 and 108 g mol−1^{-1}…EasySome Basic Concepts of Chemistry
  2. Q52Arrange the following atomic orbitals of multi electron atoms in order of increasing energy. A. n=3,l=2,m=+1n = 3, l = 2, m = +1 B. n=4,l=0,m=0n = 4, l = 0, m = 0 C.…MediumStructure of Atom
  3. Q53Identify the correct statements from the following : A. Heisenberg uncertainty principle is applicable to electrons. B. The size of 2px2p_x orbital…EasyStructure of Atom
  4. Q54What is the mole fraction of water in 10% by weight (w/w) of aqueous urea solution? [Given: Molar mass of H, O, C and N are 1, 16, 12 and 14 g…EasySolutions
  5. Q55M3A2\mathrm{M_3A_2} is a sparingly soluble salt of molar mass yy g mol−1^{-1} and solubility xx g L−1^{-1}. The ratio of the molar concentration of…MediumEquilibrium
  6. Q56Arrange the following resultant mixtures in increasing order of their pH values A. 10 mL 0.2 M Ca(OH)2\mathrm{Ca(OH)_2} + 25 mL 0.1 M HCl B. 10 mL 0.01 M…MediumEquilibrium
  7. Q57First order gas phase reaction A→B+C\mathrm{A \rightarrow B + C} pip_i = initial pressure of gas A, ptp_t = total pressure of the reaction mixture at…MediumChemical Kinetics
  8. Q58Given below are two statements: Statement I: The correct order of electronegativity of fluorine, oxygen and nitrogen is F > O > N. Statement II: The…EasyClassification of Elements and Periodicity in Properties
  9. Q59Correct statements from the following are: A. Nitrogen in oxidation states from +1 to +4 disproportionates in acid medium. B. Nitrogen has the…MediumThe p-Block Elements
  10. Q60Which of the following is NOT a physical or chemical characteristics of interstitial compounds?EasyThe d- and f-Block Elements
  11. Q61The correct statements about metal carbonyls are A. The metal-carbon bonds in metal carbonyls possess both σ\sigma and π\pi-character. B. Due to…MediumCoordination Compounds
  12. Q62Given below are two statements: Statement I: Each electron in ege_g orbitals destabilizes the orbitals by +0.6 Δo+0.6\,\Delta_o and each electron in the…EasyCoordination Compounds
  13. Q63Given below are two statements: Statement I: On the basis of inductive effect, the order of stability of alkyl carbanions is…EasyOrganic Chemistry: Some Basic Principles and Techniques
  14. Q64"P" is a hydrocarbon of molecular formula:- C8H14\mathrm{C_8H_{14}}. On ozonolysis, "P" forms "Q". "Q" on treatment with alkali under reflux condition…HardAldehydes, Ketones and Carboxylic Acids
  15. Q65For the following Friedel Craft's alkylation reaction, which of the statements are correct? [figure: benzene + n-propyl chloride…MediumHaloalkanes and Haloarenes
  16. Q66Benzyl isocyanide can be obtained from A. [figure: benzyl bromide, C6H5CH2Br\mathrm{C_6H_5CH_2Br}] →AgCN\xrightarrow{\mathrm{AgCN}} B. [figure: benzylamine,…MediumAmines
  17. Q67Consider compounds A, B and C with following structural formulae A = CH3−CH2−CH2−CH2−CH2−OH\mathrm{CH_3-CH_2-CH_2-CH_2-CH_2-OH} B = CH2=CH−CH2−CH2−CH3\mathrm{CH_2=CH-CH_2-CH_2-CH_3} C…EasyAlcohols, Phenols and Ethers
  18. Q68Identify the incorrect statements. A. [figure: benzylamine, C6H5CH2NH2\mathrm{C_6H_5CH_2NH_2}] is a stronger base than [figure: aniline,…MediumAmines
  19. Q69Identify the correct statements. A. Glucose exists in two anomeric forms. B. Anomers of glucose differ in configuration at C-1 in cyclic hemiacetal…MediumBiomolecules
  20. Q70Given below are two statements: Statement I: Sodium dichromate and potassium dichromate are classified as primary standards in titrimetric analysis.…MediumChemistry in Everyday Life
  21. Q71Consider the following species: BrF5\mathrm{BrF_5}, XeF5−\mathrm{XeF_5^-}, BF4−\mathrm{BF_4^-}, ICl4−\mathrm{ICl_4^-}, XeF4\mathrm{XeF_4}, SF4\mathrm{SF_4},…MediumChemical Bonding and Molecular StructureNumerical
  22. Q72In an estimation of sulphur by Carius method 0.2 g of the substance gave 0.6 g of BaSO4\mathrm{BaSO_4}. The percentage of sulphur in the substance is…EasyOrganic Chemistry: Some Basic Principles and TechniquesNumerical
  23. Q73One mole of phenol is treated with dilute HNO3\mathrm{HNO_3} at 298 K to give a mixture of products. The mixture is separated by steam distillation.…MediumAlcohols, Phenols and EthersNumerical
  24. Q74The values of pressure equilibrium constant recorded at different temperatures for the following equilibrium reaction have been given below…MediumThermodynamics (Chemistry)Numerical
  25. Q75If the half life of a first order reaction is 6.93 minutes then the time required for completion of 99% of the reaction will be ________ minutes.…EasyChemical KineticsNumerical

Maths Q1–25

  1. Q1Let a,b∈Ca, b \in \mathbb{C}. Let α,β\alpha, \beta be the roots of the equation x2+ax+b=0x^2 + ax + b = 0. If β−α=11\beta - \alpha = \sqrt{11} and…MediumComplex Numbers and Quadratic Equations
  2. Q2Let the sum of the first nn terms of an A.P. be 3n2+5n3n^2 + 5n. Then the sum of squares of the first 10 terms of the A.P. is:EasySequences and Series
  3. Q3Let A be a 3×33 \times 3 matrix such that AT[101]=[522]A^T\begin{bmatrix}1\\0\\1\end{bmatrix}=\begin{bmatrix}5\\2\\2\end{bmatrix},…HardDeterminants
  4. Q4Consider the system of linear equations in x,y,zx, y, z: x+2y+tz=0x + 2y + tz = 0, 6x+y+5tz=06x + y + 5tz = 0, 3x+t2y+f(t) z=03x + t^2y + f(t)\,z = 0, where…MediumDeterminants
  5. Q5∑n=110(528n(n+1)(n+2))\sum_{n=1}^{10}\left(\frac{528}{n(n+1)(n+2)}\right) is equal to:EasySequences and Series
  6. Q6Let tan⁡A\tan A, tan⁡B\tan B, where A,B∈(−π2,π2)A, B \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right), be the roots of the quadratic equation x2−2x−5=0x^2 - 2x - 5 = 0. Then…MediumTrigonometric Functions
  7. Q7A letter is known to have arrived by post either from KANPUR or from ANANTPUR. On the envelope just two consecutive letters AN are visible. The…MediumProbability
  8. Q8The mean deviation about the mean for the data | xix_i | 5 | 7 | 9 | 10 | 12 | 15 | | fif_i | 8 | 6 | 2 | 2 | 2 | 6 | is equal to:EasyStatistics
  9. Q9Let a focus of the ellipse E:x2a2+y2b2=1E: \frac{x^2}{a^2}+\frac{y^2}{b^2}=1 be S(4,0)S(4, 0) and its eccentricity be 45\frac{4}{5}. If the point P(3,α)P(3, \alpha)…EasyConic Sections
  10. Q10Let P be a moving point on the circle x2+y2−6x−8y+21=0x^2 + y^2 - 6x - 8y + 21 = 0. Then, the maximum distance of P from the vertex of the parabola…MediumConic Sections
  11. Q11In an equilateral triangle PQR, let the vertex P be at (3,5)(3, 5) and the side QR be along the line x+y=4x + y = 4. If the orthocentre of the triangle…MediumStraight Lines
  12. Q12The sum of all the integral values of pp such that the equation 3sin⁡2x+12cos⁡x−3=p3\sin^2 x + 12\cos x - 3 = p, x∈Rx \in \mathbb{R}, has at least one solution, is:MediumTrigonometric Functions
  13. Q13The square of the distance of the point P(5,6,7)P(5, 6, 7) from the line x−22=y−53=z−24\frac{x-2}{2}=\frac{y-5}{3}=\frac{z-2}{4} is equal to:EasyThree Dimensional Geometry
  14. Q14Let a⃗=7i^+j^−k^\vec{a} = \sqrt{7}\hat{i} + \hat{j} - \hat{k} and b⃗=j^+2k^\vec{b} = \hat{j} + 2\hat{k}. If r⃗\vec{r} is a vector such that…MediumVector Algebra
  15. Q15The square of the distance of the point of intersection of the lines r⃗=(i^+j^−k^)+λ(ai^−j^)\vec{r} = (\hat{i} + \hat{j} - \hat{k}) + \lambda(a\hat{i} - \hat{j}),…MediumThree Dimensional Geometry
  16. Q16The area of the region R={(x,y):xy≤27, 1≤y≤x2}R = \{(x, y) : xy \leq 27,\ 1 \leq y \leq x^2\} is equal to:MediumApplication of Integrals
  17. Q17The product of all possible values of α\alpha, for which…HardLimits and Derivatives
  18. Q18The value of the integral ∫0∞log⁡e(x)x2+4 dx\int_0^{\infty} \frac{\log_e(x)}{x^2+4}\,dx is:HardIntegrals
  19. Q19Let f:R→Rf: \mathbb{R} \to \mathbb{R} be a differentiable function such that f(x+y3)=f(x)+f(y)3f\left(\frac{x+y}{3}\right) = \frac{f(x)+f(y)}{3} for all…MediumContinuity and Differentiability
  20. Q20The value of the integral ∫π/6π/3(4−cosec⁡2xcos⁡4x)dx\int_{\pi/6}^{\pi/3}\left(\frac{4 - \operatorname{cosec}^2 x}{\cos^4 x}\right)dx is:MediumIntegrals
  21. Q21Let A={1,2,3,4,5,6}A = \{1, 2, 3, 4, 5, 6\}. The number of one-one functions f:A→Af: A \to A such that f(1)≥3f(1) \geq 3, f(3)≤4f(3) \leq 4 and f(2)+f(3)=5f(2) + f(3) = 5, is…MediumRelations and FunctionsNumerical
  22. Q22Two players A and B play a series of games of badminton. The player, who wins 5 games first, wins the series. Assuming that no game ends in a draw,…MediumPermutations and CombinationsNumerical
  23. Q23If the sum of the coefficients of x7x^7 and x14x^{14} in the expansion of (1x3−x4)n\left(\frac{1}{x^3} - x^4\right)^n, x≠0x \neq 0, is zero, then the value…MediumBinomial TheoremNumerical
  24. Q24If π4+∑p=111tan⁡−1(2p−11+22p−1)=α\frac{\pi}{4} + \sum_{p=1}^{11} \tan^{-1}\left(\frac{2^{p-1}}{1 + 2^{2p-1}}\right) = \alpha, then tan⁡α\tan\alpha is equal to ________.MediumInverse Trigonometric FunctionsNumerical
  25. Q25Let y=y(x)y = y(x) be the solution of the differential equation xsin⁡(yx)dy=(ysin⁡(yx)−x)dxx\sin\left(\frac{y}{x}\right)dy = \left(y\sin\left(\frac{y}{x}\right) - x\right)dx,…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.