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Friday, 9 October

JEE Main 2025 · April session

JEE Main 7 April 2025, Shift 1

75 questions: 15 numerical-answer and 60 multiple choice. 9 were rated hard and 24 easy. By hard questions it ranks 4th of the 8 2025 shifts Lumi analysed. The biggest chapter was Conic Sections, with 3 questions.

Questions
75
none dropped
Numerical answer
15
20% of the shift
Hard
9
12% of the shift
Chapters asked
56
18 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
25 Q · 5 numerical
Easy 10Medium 12Hard 3

Top chapters

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

Top chapters

Maths
25 Q · 5 numerical
Easy 4Medium 17Hard 4

Top chapters

Question format
  • Single correct42 Q
  • Numerical value15 Q
  • Diagram based7 Q
  • Two statements5 Q
  • Other4 Q
  • Match the list2 Q
What each question asks you to do
  • Multi-step32 Q
  • Calculation25 Q
  • Application8 Q
  • Conceptual4 Q
  • Recall3 Q
  • Data or graph3 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. Q26If ϵ0\epsilon_0 denotes the permittivity of free space and ΦE\Phi_E is the flux of the electric field through the area bounded by the closed…MediumUnits and Measurements
  2. Q27Two thin convex lenses of focal lengths 30 cm and 10 cm are placed coaxially, 10 cm apart. The power of this combination is:EasyRay Optics and Optical Instruments
  3. Q28An object of mass 1000 g experiences a time dependent force F⃗=(2t i^+3t2 j^)N\vec{F} = \left(2t\,\hat{i} + 3t^2\,\hat{j}\right)\mathrm{N}. The power generated by…MediumWork, Energy and Power
  4. Q29A rod of length 5 L is bent right angle keeping one side length as 2 L. The position of the centre of mass of the system: (Consider L = 10 cm)EasySystem of Particles and Rotational Motion
  5. Q30A cubic block of mass m is sliding down on an inclined plane at 60∘60^\circ with an acceleration of g2\frac{g}{2}, the value of coefficient of…EasyLaws of Motion
  6. Q31Two projectiles are fired from ground with same initial speeds from same point at angles (45∘+α)(45^\circ + \alpha) and (45∘−α)(45^\circ - \alpha) with…MediumMotion in a Plane
  7. Q32Two wires A and B are made of same material having ratio of lengths LALB=13\frac{L_A}{L_B} = \frac{1}{3} and their diameters ratio dAdB=2\frac{d_A}{d_B} = 2.…EasyMechanical Properties of Solids
  8. Q33Match the LIST-I with LIST-I LIST-I | LIST-II A. Triatomic rigid gas | I. CpCv=53\frac{C_p}{C_v} = \frac{5}{3} B. Diatomic non-rigid gas | II.…MediumThermodynamics
  9. Q34Two harmonic waves moving in the same direction superimpose to form a wave x=acos⁡(1.5t)cos⁡(50.5t)x = a\cos(1.5t)\cos(50.5t) where t is in seconds. Find the period with…MediumWaves
  10. Q35An ac current is represented as i=52+10cos⁡(650πt+π6)i = 5\sqrt{2} + 10\cos\left(650\pi t + \frac{\pi}{6}\right) Amp The r.m.s value of the current isEasyAlternating Current
  11. Q36A wire of resistance R is bent into a triangular pyramid as shown in figure with each segment having same length. The resistance between points A…MediumCurrent Electricity
  12. Q37A particle of charge q, mass m and kinetic energy E enters in magnetic field perpendicular to its velocity and undergoes a circular arc of radius…EasyMoving Charges and Magnetism
  13. Q38Two charges q1q_1 and q2q_2 are separated by a distance of 30 cm. A third charge q3q_3 initially at 'C' as shown in the figure, is moved along the…MediumElectrostatic Potential and Capacitance
  14. Q39The percentage increase in magnetic field (B) when space within a current carrying solenoid is filled with magnesium (magnetic susceptibility…MediumMagnetism and Matter
  15. Q40Uniform magnetic fields of different strengths (B1B_1 and B2B_2), both normal to the plane of the paper exist as shown in the figure. A charged…HardMoving Charges and Magnetism
  16. Q41Two plane polarized light waves combine at a certain point whose electric field components are E1=E0sin⁡ωtE_1 = E_0 \sin\omega t…EasyWave Optics
  17. Q42A lens having refractive index 1.6 has focal length of 12 cm, when it is in air. Find the focal length of the lens when it is placed in water. (Take…EasyRay Optics and Optical Instruments
  18. Q43For a hydrogen atom, the ratio of the largest wavelength of Lyman series to that of the Balmer series isEasyAtoms
  19. Q44In a hydrogen like ion, the energy difference between the 2nd2^{\mathrm{nd}} excitation energy state and ground is 108.8 eV. The atomic number of the…EasyAtoms
  20. Q45In the following circuit, the reading of the ammeter will be (Take Zener breakdown voltage = 4 V)MediumSemiconductor Electronics: Materials, Devices and Simple Circuits
  21. Q46A, B and C are disc, solid sphere and spherical shell respectively with same radii and masses. These masses are placed as shown in figure. The…HardSystem of Particles and Rotational MotionNumerical
  22. Q47A wire of length 10 cm and diameter 0.5 mm is used in a bulb. The temperature of the wire is 1727∘1727^\circC and power radiated by the wire is 94.2 W.…MediumThermal Properties of MatterNumerical
  23. Q48An ideal gas has undergone through the cyclic process as shown in the figure. Work done by the gas in the entire cycle is _______ ×10−1\times 10^{-1}…MediumThermodynamicsNumerical
  24. Q49For ac circuit shown in figure, R = 100 kΩ\Omega and C = 100 pF and the phase difference between Vin\mathrm{V_{in}} and…HardAlternating CurrentNumerical
  25. Q50A container contains a liquid with refractive index of 1.2 up to a height of 60 cm and another liquid having refractive index 1.6 is added to height…MediumRay Optics and Optical InstrumentsNumerical

Chemistry Q51–75

  1. Q51At the sea level, the dry air mass percentage composition is given as nitrogen gas: 70.0, oxygen gas: 27.0 and argon gas: 3.0. If total pressure is…MediumSome Basic Concepts of Chemistry
  2. Q52Which of the following statements are correct, if the threshold frequency of caesium is 5.16×10145.16 \times 10^{14} Hz? A. When Cs is placed inside a…MediumStructure of Atom
  3. Q53Total enthalpy change for freezing of 1 mol of water at 10∘10^\circC to ice at −10∘-10^\circC is __________ (Given: ΔfusH=x\Delta_{fus}H = x kJ/mol…MediumThermodynamics (Chemistry)
  4. Q54An aqueous solution of HCl with pH 1.0 is diluted by adding equal volume of water (ignoring dissociation of water). The pH of HCl solution would…EasyEquilibrium
  5. Q55Given below are two statements: Statement I: Mohr's salt is composed of only three types of ions-ferrous, ammonium and sulfate. Statement II: If the…MediumElectrochemistry
  6. Q56Reaction A(g)→2B(g)+C(g)\mathrm{A(g) \rightarrow 2B(g) + C(g)} is a first order reaction. It was started with pure A t/min | Pressure of system at time t/mm Hg…MediumChemical Kinetics
  7. Q57A person's wound was exposed to some bacteria and then bacterial growth started to happen at the same place. The wound was later treated with some…MediumChemical Kinetics
  8. Q58Match the LIST-I with LIST-I LIST-I (Molecule / ion) | LIST-II (Bond pair : lone pair (on the central atom)) A. ICl2−\mathrm{ICl_2^-} | I. 4 : 2 B.…MediumChemical Bonding and Molecular Structure
  9. Q59The number of valence electrons present in the metal among Cr, Co, Fe and Ni which has the lowest enthalpy of atomisation isMediumThe d- and f-Block Elements
  10. Q60The group 14 elements A and B have the first ionisation enthalpy values of 708 and 715 kJ mol−1\mathrm{mol^{-1}} respectively. The above values are…MediumThe p-Block Elements
  11. Q61The first transition series metal 'M' has the highest enthalpy of atomisation in its series. One of its aquated ion (Mn+\mathrm{M^{n+}}) exists in…MediumThe d- and f-Block Elements
  12. Q62An octahedral complex having molecular composition Co.5NH3.Cl.SO4\mathrm{Co.5NH_3.Cl.SO_4} has two isomers A and B. The solution of A gives a white precipitate…EasyCoordination Compounds
  13. Q63When a salt is treated with sodium hydroxide solution it gives gas X. On passing gas X through reagent Y a brown coloured precipitate is formed. X…EasyHydrogen
  14. Q64Given below are two statements: Statement I: Dimethyl ether is completely soluble in water. However, diethyl ether is soluble in water to a very…EasyAlcohols, Phenols and Ethers
  15. Q65Which of the following is the correct IUPAC name of given organic compound (X)?EasyOrganic Chemistry: Some Basic Principles and Techniques
  16. Q66The reactions which cannot be applied to prepare an alkene by elimination, are A. [2-bromo-1-methylcyclohexane: cyclohexane ring with a methyl group…MediumHaloalkanes and Haloarenes
  17. Q67Given below are two statements: Statement I: Ozonolysis followed by treatment with Zn, H2O\mathrm{H_2O} of cis-2-butene gives ethanal. Statement II:…MediumHydrocarbons
  18. Q68Which of the following compounds is least likely to give effervescence of CO2\mathrm{CO_2} in presence of aq. NaHCO3\mathrm{NaHCO_3} ?EasyAldehydes, Ketones and Carboxylic Acids
  19. Q69Which of the following amine (s) show (s) positive carbylamine test? A. [aniline: benzene ring bearing NH2\mathrm{NH_2}] B. (CH3)2NH\mathrm{(CH_3)_2NH} C.…EasyAmines
  20. Q70Given below are two statements: Statement I: D-(+)-glucose + D-(+) fructose →−H2O\xrightarrow{-H_2O} Sucrose sucrose →hydrolysis\xrightarrow{\text{hydrolysis}}…MediumBiomolecules
  21. Q711 Faraday electricity was passed through Cu2+\mathrm{Cu^{2+}} (1.5 M, 1 L) /Cu and 0.1 Faraday was passed through Ag+\mathrm{Ag^+} (0.2 M, 1 L)/Ag…HardElectrochemistryNumerical
  22. Q72The percentage dissociation of a salt (MX3\mathrm{MX_3}) solution at given temperature (van't Hoff factor i=2i = 2) is ___________ %(Nearest integer)EasySolutionsNumerical
  23. Q73The number of paramagnetic complexes among [FeF6]3−[\mathrm{FeF_6}]^{3-}, [Fe(CN)6]3−[\mathrm{Fe(CN)_6}]^{3-}, [Mn(CN)6]3−[\mathrm{Mn(CN)_6}]^{3-},…HardCoordination CompoundsNumerical
  24. Q74An organic compound weighing 500 mg, produced 220 mg of CO2\mathrm{CO_2}, on complete combustion. The percentage composition of carbon in the…EasyOrganic Chemistry: Some Basic Principles and TechniquesNumerical
  25. Q75Thyroxine, the hormone has given below structure The percentage of iodine in thyroxine is ______%. (nearest integer) (Given molar mass in…EasyBiomoleculesNumerical

Maths Q1–25

  1. Q1If for θ∈[−π3,0]\theta \in \left[-\frac{\pi}{3}, 0\right], the points…MediumTrigonometric Functions
  2. Q2Among the statements (S1) : The set {z∈C−{−i}:∣z∣=1\{z \in \mathbb{C} - \{-i\} : |z| = 1 and z−iz+i\frac{z-i}{z+i} is purely real}\} contains exactly two elements,…MediumComplex Numbers and Quadratic Equations
  3. Q3Let the set of all values of p∈Rp \in \mathbb{R}, for which both the roots of the equation x2−(p+2)x+(2p+9)=0x^2 - (p+2)x + (2p+9) = 0 are negative real numbers, be…EasyComplex Numbers and Quadratic Equations
  4. Q4Let the system of equations : 2x+3y+5z=92x + 3y + 5z = 9, 7x+3y−2z=87x + 3y - 2z = 8, 12x+3y−(4+λ)z=16−μ12x + 3y - (4+\lambda)z = 16 - \mu, have infinitely many solutions. Then the…MediumDeterminants
  5. Q5Let AA be a 3×33 \times 3 matrix such that ∣adj(adj(adj A))∣=81|\mathrm{adj}(\mathrm{adj}(\mathrm{adj}\,A))| = 81. If…HardMatrices
  6. Q6Let x1,x2,x3,x4x_1, x_2, x_3, x_4 be in a geometric progression. If 2,7,9,52, 7, 9, 5 are subtracted respectively from x1,x2,x3,x4x_1, x_2, x_3, x_4, then the resulting…MediumSequences and Series
  7. Q7The remainder when ((64)(64))(64)\left((64)^{(64)}\right)^{(64)} is divided by 7 is equal toEasyBinomial Theorem
  8. Q8From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which should include atleast 4 batsmen and atleast 4 bowlers. One…MediumPermutations and Combinations
  9. Q9The mean and standard deviation of 100 observations are 40 and 5.1, respectively. By mistake one observation is taken as 50 instead of 40. If the…EasyStatistics
  10. Q10Let P be the parabola, whose focus is (−2,1)(-2, 1) and directrix is 2x+y+2=02x + y + 2 = 0. Then the sum of the ordinates of the points on P, whose abscissa…MediumConic Sections
  11. Q11Let ABC be the triangle such that the equations of lines AB and AC be 3y−x=23y - x = 2 and x+y=2x + y = 2, respectively, and the points B and C lie on…MediumStraight Lines
  12. Q12Let C1C_1 be the circle in the third quadrant of radius 3, that touches both coordinate axes. Let C2C_2 be the circle with centre (1,3)(1, 3) that…MediumConic Sections
  13. Q13Let the line L pass through (1,1,1)(1, 1, 1) and intersect the lines x−12=y+13=z−14\frac{x-1}{2} = \frac{y+1}{3} = \frac{z-1}{4} and…MediumThree Dimensional Geometry
  14. Q14If the shortest distance between the lines x−12=y−23=z−34\frac{x-1}{2} = \frac{y-2}{3} = \frac{z-3}{4} and x1=yα=z−51\frac{x}{1} = \frac{y}{\alpha} = \frac{z-5}{1} is…MediumThree Dimensional Geometry
  15. Q15Let the angle θ\theta, 0<θ<π20 < \theta < \frac{\pi}{2} between two unit vectors a^\hat{a} and b^\hat{b} be…MediumVector Algebra
  16. Q16…MediumLimits and Derivatives
  17. Q17Let x=−1x = -1 and x=2x = 2 be the critical points of the function f(x)=x3+ax2+blog⁡e∣x∣+1f(x) = x^3 + ax^2 + b\log_e|x| + 1, x≠0x \neq 0. Let mm and MM respectively be…MediumApplication of Derivatives
  18. Q18The integral ∫0π(x+3)sin⁡x1+3cos⁡2x dx\int_0^{\pi} \frac{(x+3)\sin x}{1+3\cos^2 x}\,dx is equal toMediumIntegrals
  19. Q19If the area of the region bounded by the curves y=4−x24y = 4 - \frac{x^2}{4} and y=x−42y = \frac{x-4}{2} is equal to α\alpha, then 6α6\alpha equalsEasyApplication of Integrals
  20. Q20Let y=y(x)y = y(x) be the solution curve of the differential equation x(x2+ex) dy+(ex(x−2)y−x3) dx=0x(x^2 + e^x)\,dy + (e^x(x-2)y - x^3)\,dx = 0, x>0x > 0, passing through the point…HardDifferential Equations
  21. Q21For n≥2n \geq 2, let SnS_n denote the set of all subsets of {1,2,…,n}\{1, 2, \ldots, n\} with no two consecutive numbers. For example {1,3,5}∈S6\{1, 3, 5\} \in S_6,…MediumPermutations and CombinationsNumerical
  22. Q22The number of singular matrices of order 2, whose elements are from the set {2,3,6,9}\{2, 3, 6, 9\}, is ___________.MediumMatricesNumerical
  23. Q23Consider the hyperbola x2a2−y2b2=1\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 having one of its focus at P(−3,0)P(-3, 0). If the latus ractum through its other focus…HardConic SectionsNumerical
  24. Q24The number of relations on the set A={1,2,3}A = \{1, 2, 3\}, containing at most 6 elements including (1,2)(1, 2), which are reflexive and transitive but not…HardRelations and FunctionsNumerical
  25. Q25The number of points of discontinuity of the function f(x)=[x22]−[x]f(x) = \left[\frac{x^2}{2}\right] - [\sqrt{x}], x∈[0,4]x \in [0, 4], where [⋅][\cdot] denotes the…MediumContinuity 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.