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Friday, 9 October

JEE Main 2026 · April session

JEE Main 4 April 2026, Shift 1

74 questions (1 more dropped by NTA): 15 numerical-answer and 59 multiple choice. 13 were rated hard and 19 easy. By hard questions it ranks 3rd of the 9 2026 shifts Lumi analysed. The biggest chapter was Continuity and Differentiability, with 3 questions.

Questions
74
1 dropped by NTA
Numerical answer
15
20% of the shift
Hard
13
18% of the shift
Chapters asked
54
12 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
24 Q · 5 numerical
Easy 9Medium 14Hard 1

Top chapters

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

Top chapters

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

Top chapters

Question format
  • Single correct41 Q
  • Numerical value15 Q
  • Diagram based10 Q
  • Two statements3 Q
  • Match the list3 Q
  • Other2 Q
What each question asks you to do
  • Multi-step32 Q
  • Calculation23 Q
  • Application7 Q
  • Recall6 Q
  • Conceptual5 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 screw gauge when the circular scale is given five complete rotations it moves linearly by 2.52.5 mm. If the circular scale has 100100 divisions,…EasyUnits and Measurements
  2. Q27The increase in the pressure required to decrease the volume (ΔV\Delta V) of water is 6.3×107 N/m26.3\times10^{7}\ \mathrm{N/m^2}. The percentage decrease in…EasyMechanical Properties of Solids
  3. Q28The time taken by a block of mass mm to slide down from the highest point to the lowest point on a rough inclined plane is 50 %50\ \% more compared…MediumLaws of Motion
  4. Q29Two nuclei of mass number 33 combine with another nucleus of mass number 44 to yield a nucleus of mass number 1010. If the binding energy per…MediumNuclei
  5. Q30A solid sphere of mass MM and radius RR is divided into two unequal parts. The smaller part having mass M/8M/8 is converted into a sphere of radius…MediumSystem of Particles and Rotational Motion
  6. Q31The two projectiles are projected with the same initial velocities at the 15∘15^\circ and 30∘30^\circ with respect to the horizontal. The ratio of…EasyMotion in a Plane
  7. Q32The graph shows variation of stopping potential VoV_o with the frequency ν\nu of the incident radiation for three photosensitive metals X1X_1,…MediumDual Nature of Radiation and Matter
  8. Q33A slit of width aa is illuminated by light of wavelength λ\lambda. The linear separation between 1st1^{\text{st}} and 3rd3^{\text{rd}} minima in the…EasyWave Optics
  9. Q34A string AA of length 0.3140.314 m and Young's modulus 2×1010 N/m22\times10^{10}\ \mathrm{N/m^2} is connected to another string BB of length and Young's…MediumMechanical Properties of Solids
  10. Q35One gas of n1n_1 mole of molecules at temperature T1T_1, volume V1V_1, and pressure P1P_1, and another gas of n2n_2 mole of molecules at temperature…MediumKinetic Theory
  11. Q36An ideal gas undergoes a process maintaining relation between pressure (PP) and volume (VV) as…HardThermodynamicsDropped
  12. Q37A voltmeter with internal resistance of x Ωx\ \Omega can be used to measure upto 2020 V. In order to increase its measuring range to 3030 V, the…EasyMoving Charges and Magnetism
  13. Q38Two 44 bits binary numbers, A=1101A=1101 and B=1010B=1010 are given in the inputs of a logic circuit shown in figure below. The output (YY) will be :EasySemiconductor Electronics: Materials, Devices and Simple Circuits
  14. Q39A rod of length 1010 cm lies along the principle axis of a concave mirror of focal length 1010 cm as shown in figure. The length of the image is…MediumRay Optics and Optical Instruments
  15. Q40A parallel plate air capacitor is connected to a battery. The plates are pulled apart at uniform speed vv. If xx is the separation between the…MediumElectrostatic Potential and Capacitance
  16. Q41An insulated wire is wound so that it forms a flat coil with N=200N=200 turns. The radius of the innermost turn is r1=3r_1=3 cm, and of the outermost…MediumMoving Charges and Magnetism
  17. Q42Consider a circuit consisting of a capacitor (20 μ20\ \muF), resistor (100 Ω100\ \Omega) and two identical diodes as shown in figure. The resistance of…MediumAlternating Current
  18. Q43The voltage and the current between AA and BB points shown in the circuit are ______.MediumCurrent Electricity
  19. Q44A telescope with objective diameter RR is used to observe a distant star emitting light of wavelength 500500 nm, at a resolution of 5×10−75\times10^{-7}…EasyWave Optics
  20. Q45An unpolarized light is incident on the plane interface of air-dielectric medium shown in figure. If the incident angle is equal to Brewster angle,…HardWave Optics
  21. Q46A 11 kg block subjected to two simultaneous forces (2i^+3j^+4k^)\left(2\hat{i}+3\hat{j}+4\hat{k}\right) N and (3i^−j^−2k^)\left(3\hat{i}-\hat{j}-2\hat{k}\right) N is…EasyWork, Energy and PowerNumerical
  22. Q47The surface tension of a soap solution is 3.5×10−23.5\times10^{-2} N/m. The work required to increase the radius of a soap bubble from 11 cm to 22 cm is…MediumMechanical Properties of FluidsNumerical
  23. Q48The velocity of a particle executing simple harmonic motion along xx-axis is described as v2=50−x2v^2=50-x^2, where xx represents displacement. If the…EasyOscillationsNumerical
  24. Q49A body of mass 22 kg begins to move under the influence of time dependent force F⃗=(2t i^+6t2 j^)\vec{F}=\left(2t\,\hat{i}+6t^2\,\hat{j}\right) N, where i^\hat{i}…MediumWork, Energy and PowerNumerical
  25. Q50An inductor of 1010 mH, capacitor of 0.1 μ0.1\ \muF and a resistor of 100 Ω100\ \Omega are connected in series across an a.ca.c power supply 220220 V, 7070…MediumAlternating CurrentNumerical

Chemistry Q51–75

  1. Q51Number of moles and number of molecules in 1.41871.4187 L of SO2\mathrm{SO_2} at STP respectively areEasySome Basic Concepts of Chemistry
  2. Q52What is the ratio of wave number of first line (lowest energy line) of Balmer series of H atomic spectrum to first line of its Brackett series?MediumStructure of Atom
  3. Q53Which of the following is correct set of 44 quantum numbers of 19th19^{\text{th}} electron in Chromium (Atomic number =24=24) in accordance with…MediumStructure of Atom
  4. Q54Given below are two statements: Statement I: For an ideal gas, heat capacity at constant volume is always greater than the heat capacity at constant…EasyThermodynamics (Chemistry)
  5. Q55At T(K), the equilibrium constant of A2(g)+B2(g)⇌C(g)\mathrm{A_2}(g)+\mathrm{B_2}(g)\rightleftharpoons \mathrm{C}(g) is 2.7×10−52.7\times10^{-5}. What is the…EasyEquilibrium
  6. Q56In order to oxidise a mixture of 11 mole each of FeC2O4\mathrm{FeC_2O_4}, Fe2(C2O4)3\mathrm{Fe_2(C_2O_4)_3}, FeSO4\mathrm{FeSO_4} and Fe2(SO4)3\mathrm{Fe_2(SO_4)_3} in…MediumRedox Reactions
  7. Q57Consider the first order reaction R→P\mathrm{R}\rightarrow\mathrm{P}. The fraction of molecules decomposed in the given first order reaction can be…EasyChemical Kinetics
  8. Q58A monoatomic anion (A−\mathrm{A^-}) has 4545 neutrons and 3636 electrons. Atomic mass, group in the periodic table and physical state at room…EasyClassification of Elements and Periodicity in Properties
  9. Q59Given below are two statements: Statement I: The covalency of oxygen is generally two but it can exceed upto four. The oxidation state of oxygen in…MediumThe p-Block Elements
  10. Q60The correct statements among the following are, A. Mo(VI) and W(VI) are less stable than Cr(VI). B. Ce4+\mathrm{Ce^{4+}} and Tb4+\mathrm{Tb^{4+}} are…HardThe d- and f-Block Elements
  11. Q61Correct statements from the following are A. Potassium dichromate is an oxidising agent and it oxidises FeSO4\mathrm{FeSO_4} to Fe2(SO4)3\mathrm{Fe_2(SO_4)_3}…MediumThe d- and f-Block Elements
  12. Q62Match the LIST-I with LIST-II List-I (Complex ion): A. [Cr(H2O)6]2+[\mathrm{Cr(H_2O)_6}]^{2+}; B. [Co(H2O)6]2+[\mathrm{Co(H_2O)_6}]^{2+}; C.…EasyCoordination Compounds
  13. Q63Increasing order of electron withdrawing power of following functional groups is: a. −CN-\mathrm{CN} b. −COOH-\mathrm{COOH} c. −NO2-\mathrm{NO_2} d.…MediumOrganic Chemistry: Some Basic Principles and Techniques
  14. Q64An alkene (X) on ozonolysis followed by reduction gives following products. H−CHO\mathrm{H-CHO} (2 moles), OHC−CO−CHO\mathrm{OHC-CO-CHO}…HardAldehydes, Ketones and Carboxylic Acids
  15. Q65Match the LIST-I with LIST-II List-I (Name of reaction): A. Finkelstein reaction; B. Swarts reaction; C. Sandmeyer's reaction; D. Fittig reaction…EasyHaloalkanes and Haloarenes
  16. Q66Amongst the following, the total number of compounds soluble in aqueous NaOH at room temperature is:MediumAlcohols, Phenols and Ethers
  17. Q67Product C of the following reaction sequence will be aniline →Br2/water\xrightarrow{\mathrm{Br_2/water}} A (Major Product)…MediumAmines
  18. Q68Given below are two statements: Statement I: The structure of Maltose is given below: [structure of maltose: two glucopyranose rings linked through…EasyBiomolecules
  19. Q69Match the LIST-I with LIST-II List-I (Name of amino acid): A. Arginine; B. Aspartic acid; C. Lysine; D. Glutamic acid List-II (One letter…MediumBiomolecules
  20. Q70Identify the colour of compound 'X' in the sequence of the reaction.MediumAlcohols, Phenols and Ethers
  21. Q71According to Lewis theory, the total number of σ\sigma bond-pairs and lone pair of electrons around the central atom of XeO64−\mathrm{XeO_6^{4-}} ion…MediumChemical Bonding and Molecular StructureNumerical
  22. Q72Consider the following sequence of reactions to give the major product (X) benzene…MediumHaloalkanes and HaloarenesNumerical
  23. Q732.02.0 g of a bromo hydrocarbon (X) was subjected to Carius analysis, gave 3.363.36 g of AgBr. The percentage of carbon in the compound (X) is…MediumOrganic Chemistry: Some Basic Principles and TechniquesNumerical
  24. Q74The pH of a solution obtained by mixing 55 mL of 0.10.1 M NH4OH\mathrm{NH_4OH} solution with 250250 mL of 0.10.1 M NH4Cl\mathrm{NH_4Cl} solution is ______…MediumEquilibriumNumerical
  25. Q75A non-volatile, non-electrolyte solid solute when dissolved in 4040 g of a solvent, the vapour pressure of the solvent decreased from 760760 mm Hg to…MediumSolutionsNumerical

Maths Q1–25

  1. Q1Let [⋅][\cdot] denote the greatest integer function. If the domain of the function f(x)=cos⁡−1(4x+2[x]3)f(x)=\cos^{-1}\left(\frac{4x+2[x]}{3}\right) is…MediumInverse Trigonometric Functions
  2. Q2If the set of all solutions of ∣x2+x−9∣=∣x∣+∣x2−9∣|x^2+x-9|=|x|+|x^2-9| is [α,β]∪[γ,∞)[\alpha,\beta]\cup[\gamma,\infty), then (α2+β2+γ2)(\alpha^2+\beta^2+\gamma^2) is equal to:HardComplex Numbers and Quadratic Equations
  3. Q3Let zz be a complex number such that ∣z+2∣=∣z−2∣|z+2|=|z-2| and arg⁡(z+3z−i)=π4\arg\left(\frac{z+3}{z-i}\right)=\frac{\pi}{4}. Then ∣z∣2|z|^2 is equal to:MediumComplex Numbers and Quadratic Equations
  4. Q4The number of functions f:{1,2,3,4}→{a,b,c}f:\{1,2,3,4\}\to\{a,b,c\}, which are not onto, is:EasyRelations and Functions
  5. Q5Let S={A=[abcd]:a,b,c,d∈{0,1,2,3,4} and A2−4A+3I=0}S=\left\{A=\begin{bmatrix}a&b\\c&d\end{bmatrix}: a,b,c,d\in\{0,1,2,3,4\}\text{ and }A^2-4A+3I=0\right\} be a set of 2×22\times2 matrices. Then…HardMatrices
  6. Q6Let A=[112−201135]A=\begin{bmatrix}1&1&2\\-2&0&1\\1&3&5\end{bmatrix}. Then the sum of all elements of the matrix…MediumDeterminants
  7. Q7The first term of an A.P. of 3030 non-negative terms is 103\frac{10}{3}. If the sum of this A.P. is the cube of its last term, then its common…MediumSequences and Series
  8. Q8The number of ways, of forming a queue of 44 boys and 33 girls such that all the girls are not together, is:EasyPermutations and Combinations
  9. Q9Let the smallest value of k∈Nk\in\mathbb{N}, for which the coefficient of x3x^3 in (1+x)3+(1+x)4+(1+x)5+…+(1+x)99+(1+kx)100, x≠0(1+x)^3+(1+x)^4+(1+x)^5+\ldots+(1+x)^{99}+(1+kx)^{100},\ x\neq0,…MediumBinomial Theorem
  10. Q10Suppose that the mean and median of the non-negative numbers 21,8,17,a,51,103,b,13,6721, 8, 17, a, 51, 103, b, 13, 67, (a>b)(a>b), are 4040 and 2121, respectively. If the…HardStatistics
  11. Q11Let the line L1:x+3=0L_1: x+3=0 intersect the lines L2:x−y=0L_2: x-y=0 and L3:3x+y=0L_3: 3x+y=0 at the points A and B, respectively. Let the bisector of the obtuse…MediumStraight Lines
  12. Q12Let the vertex A of a triangle ABC be (1,2)(1,2), and the mid-point of the side AB be (5,−1)(5,-1). If the centroid of this triangle is (3,4)(3,4) and its…MediumStraight Lines
  13. Q13Suppose that two chords, drawn from the point (1,2)(1,2) on the circle x2+y2+x−3y=0x^2+y^2+x-3y=0 are bisected by the yy-axis. If the other ends of these chords…HardConic Sections
  14. Q14A line with direction ratios 1,−1,21,-1,2 intersects the lines x2=y3=z+13\frac{x}{2}=\frac{y}{3}=\frac{z+1}{3} and x+1−1=y−21=z4\frac{x+1}{-1}=\frac{y-2}{1}=\frac{z}{4} at…MediumThree Dimensional Geometry
  15. Q15The square of the distance of the point (−2,−8,6)(-2,-8,6) from the line x−11=y−12=z−1\frac{x-1}{1}=\frac{y-1}{2}=\frac{z}{-1} along the line…MediumThree Dimensional Geometry
  16. Q16If y=tan⁡−1(3cos⁡x−4sin⁡x4cos⁡x+3sin⁡x)+2tan⁡−1(x1+1−x2)y=\tan^{-1}\left(\frac{3\cos x-4\sin x}{4\cos x+3\sin x}\right)+2\tan^{-1}\left(\frac{x}{1+\sqrt{1-x^2}}\right), then dydx\frac{dy}{dx} at…MediumContinuity and Differentiability
  17. Q17Let ff be a real polynomial of degree nn such that f(x)=f′(x)f′′(x)f(x)=f'(x)f''(x), for all x∈Rx\in\mathbb{R}. If f(0)=0f(0)=0, then…HardContinuity and Differentiability
  18. Q18The area of the region {(x,y):y≤π−∣x∣, y≤∣xsin⁡x∣, y≥0}\{(x,y): y\le\pi-|x|,\ y\le|x\sin x|,\ y\ge0\} is:HardApplication of Integrals
  19. Q19Let ∫−22(∣sin⁡x∣+[xsin⁡x])dx=2(3−cos⁡2)+β\int_{-2}^{2}\left(|\sin x|+[x\sin x]\right)dx=2(3-\cos 2)+\beta, where [⋅][\cdot] is the greatest integer function. Then…HardIntegrals
  20. Q20Let y=y(x)y=y(x) be the solution of the differential equation dydx=(1+x+x2)(1−y+y2)\frac{dy}{dx}=(1+x+x^2)(1-y+y^2), y(0)=12y(0)=\frac12. Then (2y(1)−1)(2y(1)-1) is equal toMediumDifferential Equations
  21. Q21A coin is tossed 88 times. If the probability that exactly 44 heads appear in the first six tosses and exactly 33 heads appear in the last five…HardProbabilityNumerical
  22. Q22Consider the parabola P:y2=4kxP: y^2=4kx and the ellipse E:x2a2+y2b2=1E: \frac{x^2}{a^2}+\frac{y^2}{b^2}=1. Let the line segment joining the points of intersection…MediumConic SectionsNumerical
  23. Q23If A=sin⁡3∘cos⁡9∘+sin⁡9∘cos⁡27∘+sin⁡27∘cos⁡81∘A=\frac{\sin 3^\circ}{\cos 9^\circ}+\frac{\sin 9^\circ}{\cos 27^\circ}+\frac{\sin 27^\circ}{\cos 81^\circ} and B=tan⁡81∘−tan⁡3∘B=\tan 81^\circ-\tan 3^\circ,…MediumTrigonometric FunctionsNumerical
  24. Q24Let a⃗k=(tan⁡θk)i^+j^\vec{a}_k=(\tan\theta_k)\hat{i}+\hat{j} and b⃗k=i^−(cot⁡θk)j^\vec{b}_k=\hat{i}-(\cot\theta_k)\hat{j}, where θk=2k−1π2n+1\theta_k=\frac{2^{k-1}\pi}{2^n+1}, for some…HardTrigonometric FunctionsNumerical
  25. Q25The number of points, at which the function f(x)=max⁡{6x, 2+3x2}+∣x−1∣cos⁡∣x2−14∣f(x)=\max\{6x,\ 2+3x^2\}+|x-1|\cos\left|x^2-\frac14\right|, x∈(−π,π)x\in(-\pi,\pi), is not differentiable,…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.