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Friday, 9 October

JEE Main 2025 · April session

JEE Main 4 April 2025, Shift 2

75 questions: 15 numerical-answer and 60 multiple choice. 15 were rated hard and 18 easy. By hard questions it ranks 1st of the 8 2025 shifts Lumi analysed. The biggest chapter was Conic Sections, with 5 questions.

Questions
75
none dropped
Numerical answer
15
20% of the shift
Hard
15
20% 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 15Hard 0

Top chapters

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

Top chapters

Maths
25 Q · 5 numerical
Easy 0Medium 13Hard 12

Top chapters

Question format
  • Single correct43 Q
  • Numerical value15 Q
  • Diagram based6 Q
  • Two statements5 Q
  • Other4 Q
  • Match the list2 Q
What each question asks you to do
  • Multi-step34 Q
  • Calculation14 Q
  • Application11 Q
  • Conceptual8 Q
  • Recall5 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. Q26For the determination of refractive index of glass slab, a travelling microscope is used whose main scale contains 300 equal divisions equals to 15…EasyUnits and Measurements
  2. Q27In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension of…MediumUnits and Measurements
  3. Q28A wheel is rolling on a plane surface. The speed of a particle on the highest point of the rim is 8 m/s. The speed of the particle on the rim of the…EasySystem of Particles and Rotational Motion
  4. Q29An object is kept at rest at a distance of 3R above the earth's surface where R is earth's radius. The minimum speed with which it must be projected…MediumGravitation
  5. Q30The displacement xx versus time graph is shown below. (A) The average velocity during 0 to 3 s is 10 m/s (B) The average velocity during 3 to 5 s…MediumMotion in a Straight Line
  6. Q31Consider a rectangular sheet of solid material of length l=9l=9 cm and width d=4d=4 cm. The coefficient of linear expansion is…MediumThermal Properties of Matter
  7. Q32A cylindrical rod of length 1 m and radius 4 cm is mounted vertically. It is subjected to a shear force of 10510^5 N at the top. Considering…MediumMechanical Properties of Solids
  8. Q33Match List - I with List - II. List - I List - II (A) Isobaric (I) ΔQ=ΔW\Delta Q=\Delta W (B) Isochoric (II) ΔQ=ΔU\Delta Q=\Delta U (C) Adiabatic (III)…EasyThermodynamics
  9. Q34Displacement of a wave is expressed as x(t)=5cos⁡(628t+π2)x(t)=5\cos\left(628t+\frac{\pi}{2}\right) m. The wavelength of the wave when its velocity is 300 m/s is :…EasyWaves
  10. Q35Three parallel plate capacitors C1C_1, C2C_2 and C3C_3 each of capacitance 5 μ\muF are connected as shown in figure. The effective capacitance…EasyElectrostatic Potential and Capacitance
  11. Q36There are 'n' number of identical electric bulbs, each is designed to draw a power p independently from the mains supply. They are now joined in…EasyCurrent Electricity
  12. Q37From the combination of resistors with resistances values R1=R2=R3=5 ΩR_1=R_2=R_3=5\ \Omega and R4=10 ΩR_4=10\ \Omega, which of the following combination is the…EasyCurrent Electricity
  13. Q38A metallic ring is uniformly charged as shown in figure. AC and BD are two mutually perpendicular diameters. Electric field due to arc AB at 'O' is…MediumElectric Charges and Fields
  14. Q39A finite size object is placed normal to the principal axis at a distance of 30 cm from a convex mirror of focal length 30 cm. A plane mirror is now…MediumRay Optics and Optical Instruments
  15. Q40Two polarisers P1P_1 and P2P_2 are placed in such a way that the intensity of the transmitted light will be zero. A third polariser P3P_3 is…MediumWave Optics
  16. Q41Given below are two statements : Statement (I) : The dimensions of Planck's constant and angular momentum are same. Statement (II) : In Bohr's model…EasyAtoms
  17. Q42A radioactive material P first decays into Q and then Q decays to non-radioactive material R. Which of the following figure represents time…MediumNuclei
  18. Q43Consider a n-type semiconductor in which nen_e and nhn_h are number of electrons and holes, respectively. (A) Holes are minority carriers (B) The…EasySemiconductor Electronics: Materials, Devices and Simple Circuits
  19. Q44A block of mass 25 kg is pulled along a horizontal surface by a force at an angle 45∘45^\circ with the horizontal. The friction coefficient between…MediumWork, Energy and Power
  20. Q45There are two vessels filled with an ideal gas where volume of one is double the volume of other. The large vessel contains the gas at 8 kPa at 1000…MediumKinetic Theory
  21. Q46In a Young's double slit experiment, two slits are located 1.5 mm apart. The distance of screen from slits is 2 m and the wavelength of the source…MediumWave OpticsNumerical
  22. Q47If an optical medium possesses a relative permeability of 10π\frac{10}{\pi} and relative permittivity of 10.0885\frac{1}{0.0885}, then the velocity of…MediumElectromagnetic WavesNumerical
  23. Q48An inductor of self inductance 1 H is connected in series with a resistor of 100 π100\,\pi ohm and an ac supply of 100 π100\,\pi volt, 50 Hz. Maximum…MediumAlternating CurrentNumerical
  24. Q49A particle of charge 1.6 μ\muC and mass 16 μ\mug is present in a strong magnetic field of 6.28 T. The particle is then fired perpendicular to…EasyMoving Charges and MagnetismNumerical
  25. Q50A solid sphere with uniform density and radius R is rotating initially with constant angular velocity (ω1)(\omega_1) about its diameter. After some…MediumSystem of Particles and Rotational MotionNumerical

Chemistry Q51–75

  1. Q51Consider the ground state of chromium atom (Z=24)(Z=24). How many electrons are with Azimuthal quantum number l=1l=1 and l=2l=2 respectively ?EasyStructure of Atom
  2. Q52Consider the given data : (a) HCl(g)+10 H2O(l)→HCl.10 H2O\mathrm{HCl(g)+10\ H_2O(l)\rightarrow HCl.10\ H_2O} ΔH=−69.01\Delta H=-69.01 kJ mol−1^{-1} (b)…MediumThermodynamics (Chemistry)
  3. Q53Given below are two statements : Statement (I) : Molal depression constant KfK_f is given by M1RTfΔSfus\frac{M_1RT_f}{\Delta S_{fus}}, where symbols have…MediumSolutions
  4. Q54Half life of zero order reaction A→product\mathrm{A\rightarrow product} is 1 hour, when initial concentration of reactant is 2.0 mol L−12.0\ \mathrm{mol\ L^{-1}}.…EasyChemical Kinetics
  5. Q55Consider the following plots of log of rate constant k (log k) vs 1T\frac{1}{T} for three different reactions. The correct order of activation…EasyChemical Kinetics
  6. Q56Given below are two statements : Statement (I) : For ClF3\mathrm{ClF_3} (with lone pairs on Cl), all three possible structures may be drawn as…MediumChemical Bonding and Molecular Structure
  7. Q57The elements of Group 13 with highest and lowest first ionisation enthalpies are respectively :EasyClassification of Elements and Periodicity in Properties
  8. Q58Given below are two statements : Statement (I) : The first ionisation enthalpy of group 14 elements is higher than the corresponding elements of…MediumThe p-Block Elements
  9. Q59'X' is the number of electrons in t2g\mathrm{t_{2g}} orbitals of the most stable complex ion among [Fe(NH3)6]3+\mathrm{[Fe(NH_3)_6]^{3+}},…MediumCoordination Compounds
  10. Q60The correct order of [FeF6]3−\mathrm{[FeF_6]^{3-}}, [CoF6]3−\mathrm{[CoF_6]^{3-}}, [Ni(CO)4]\mathrm{[Ni(CO)_4]} and [Ni(CN)4]2−\mathrm{[Ni(CN)_4]^{2-}} complex species based on…MediumCoordination Compounds
  11. Q61The incorrect relationship in the following pairs in relation to ionisation enthalpies is :MediumThe d- and f-Block Elements
  12. Q62Match List - I with List - II. List - I (Separation of) List - II (Separation Technique) (A) Aniline from aniline-water mixture (I) Simple…MediumOrganic Chemistry: Some Basic Principles and Techniques
  13. Q63In which pairs, the first ion is more stable than the second ? (A) [figure: 1-methoxycyclohexyl cation] & [figure: 1-methylcyclohexyl cation] (B)…MediumOrganic Chemistry: Some Basic Principles and Techniques
  14. Q64The IUPAC name of the following compound is : HC≡C−CH2−CH(OH)−CH2−CH=CH2\mathrm{HC\equiv C-CH_2-CH(OH)-CH_2-CH=CH_2}MediumOrganic Chemistry: Some Basic Principles and Techniques
  15. Q65Consider the following molecule (X). The structure of X is [figure: tricyclic fused polycyclic hydrocarbon (X) containing a cyclopentene ring with a…HardHaloalkanes and Haloarenes
  16. Q66Given below are two statements : Statement (I) : Alcohols are formed when alkyl chlorides are treated with aqueous potassium hydroxide by…EasyHaloalkanes and Haloarenes
  17. Q67Which among the following compounds give yellow solid when reacted with NaOI/NaOH ? (A) CH3−CH(OH)−C2H5\mathrm{CH_3-CH(OH)-C_2H_5} (B)…EasyAldehydes, Ketones and Carboxylic Acids
  18. Q68A toxic compound "A" when reacted with NaCN in aqueous acidic medium yields an edible cooking component and food preservative "B". "B" is converted…HardAlcohols, Phenols and Ethers
  19. Q69The correct order of basicity for the following molecules is : [figure: (P) N-methylpiperidin-2-one; (Q) N-methyl-5,6-dihydropyridin-2(1H)-one with…HardAmines
  20. Q70A dipeptide, "x" on complete hydrolysis gives "y" and "z". "y" on treatment with aq. HNO2\mathrm{HNO_2} produces lactic acid. On the other hand "z" on…MediumBiomolecules
  21. Q71x mg of Mg(OH)2\mathrm{Mg(OH)_2} (molar mass = 58) is required to be dissolved in 1.0 L of water to produce a pH of 10.0 at 298 K. The value of x is…EasyEquilibriumNumerical
  22. Q72The molar conductance of an infinitely dilute solution of ammonium chloride was found to be 185 S cm2 mol−1185\ \mathrm{S\,cm^2\,mol^{-1}} and the ionic…MediumElectrochemistryNumerical
  23. Q73Sea water, which can be considered as a 6 molar (6 M) solution of NaCl, has a density of 2 g mL−12\ \mathrm{g\,mL^{-1}}. The concentration of dissolved…MediumSolutionsNumerical
  24. Q74The amount of calcium oxide produced on heating 150 kg limestone (75% pure) is __________ kg. (Nearest integer) Given : Molar mass (in…EasySome Basic Concepts of ChemistryNumerical
  25. Q75A metal complex with a formula MCl4⋅3NH3\mathrm{MCl_4\cdot3NH_3} is involved in sp3d2\mathrm{sp^3d^2} hybridisation. It upon reaction with excess of…MediumCoordination CompoundsNumerical

Maths Q1–25

  1. Q1Let the domains of the functions f(x)=log⁡4log⁡3log⁡7(8−log⁡2(x2+4x+5))f(x)=\log_4\log_3\log_7(8-\log_2(x^2+4x+5)) and g(x)=sin⁡−1(7x+10x−2)g(x)=\sin^{-1}\left(\frac{7x+10}{x-2}\right) be…MediumInverse Trigonometric Functions
  2. Q2Let A={−3,−2,−1,0,1,2,3}A=\{-3,-2,-1,0,1,2,3\} and R be a relation on A defined by xRyxRy if and only if 2x−y∈{0,1}2x-y\in\{0,1\}. Let ll be the number of elements in R. Let…MediumRelations and Functions
  3. Q3Let the product of ω1=(8+i)sin⁡θ+(7+4i)cos⁡θ\omega_1=(8+i)\sin\theta+(7+4i)\cos\theta and ω2=(1+8i)sin⁡θ+(4+7i)cos⁡θ\omega_2=(1+8i)\sin\theta+(4+7i)\cos\theta be α+iβ\alpha+i\beta, i=−1i=\sqrt{-1}.…HardComplex Numbers and Quadratic Equations
  4. Q4Let the matrix A=[100101010]A=\begin{bmatrix}1&0&0\\1&0&1\\0&1&0\end{bmatrix} satisfy An=An−2+A2−IA^n=A^{n-2}+A^2-I for n≥3n\ge 3. Then the sum of all the elements of…HardMatrices
  5. Q5If the sum of the first 20 terms of the series…MediumSequences and Series
  6. Q6Consider two sets A and B, each containing three numbers in A.P. Let the sum and the product of the elements of A be 36 and p respectively and the…MediumSequences and Series
  7. Q7If 12⋅(15C1)+22⋅(15C2)+32⋅(15C3)+…+152⋅(15C15)=2m⋅3n⋅5k1^2\cdot({}^{15}C_1)+2^2\cdot({}^{15}C_2)+3^2\cdot({}^{15}C_3)+\ldots+15^2\cdot({}^{15}C_{15})=2^m\cdot3^n\cdot5^k, where m,n,k∈Nm,n,k\in\mathbf{N},…MediumBinomial Theorem
  8. Q8Let the mean and the standard deviation of the observation 2, 3, 3, 4, 5, 7, a, b be 4 and 2\sqrt{2} respectively. Then the mean deviation about…MediumStatistics
  9. Q9The axis of a parabola is the line y=xy=x and its vertex and focus are in the first quadrant at distances 2\sqrt{2} and 222\sqrt{2} units from the…HardConic Sections
  10. Q10Let for two distinct values of p the lines y=x+py=x+p touch the ellipse E:x242+y232=1E:\frac{x^2}{4^2}+\frac{y^2}{3^2}=1 at the points A and B. Let the line y=xy=x…HardConic Sections
  11. Q11The centre of a circle C is at the centre of the ellipse E:x2a2+y2b2=1E:\frac{x^2}{a^2}+\frac{y^2}{b^2}=1, a>ba>b. Let C pass through the foci F1F_1 and F2F_2…HardConic Sections
  12. Q12Let the sum of the focal distances of the point P(4,3)P(4,3) on the hyperbola H:x2a2−y2b2=1H:\frac{x^2}{a^2}-\frac{y^2}{b^2}=1 be 8538\sqrt{\frac{5}{3}}. If for H,…HardConic Sections
  13. Q13The sum of the infinite series…HardInverse Trigonometric Functions
  14. Q14Let the values of p, for which the shortest distance between the lines x+13=y4=z5\frac{x+1}{3}=\frac{y}{4}=\frac{z}{5} and…MediumThree Dimensional Geometry
  15. Q15Let A be the point of intersection of the lines L1:x−71=y−50=z−3−1L_1:\frac{x-7}{1}=\frac{y-5}{0}=\frac{z-3}{-1} and…MediumThree Dimensional Geometry
  16. Q16Let ff be a differentiable function on R\mathbf{R} such that f(2)=1f(2)=1, f′(2)=4f'(2)=4. Let lim⁡x→0(f(2+x))3/x=eα\lim_{x\to0}\left(f(2+x)\right)^{3/x}=e^{\alpha}. Then the…HardContinuity and Differentiability
  17. Q17Let a>0a>0. If the function f(x)=6x3−45ax2+108a2x+1f(x)=6x^3-45ax^2+108a^2x+1 attains its local maximum and minimum values at the points x1x_1 and x2x_2 respectively such…MediumApplication of Derivatives
  18. Q18Let f(x)+2f(1x)=x2+5f(x)+2f\left(\frac{1}{x}\right)=x^2+5 and 2g(x)−3g(12)=x2g(x)-3g\left(\frac{1}{2}\right)=x, x>0x>0. If α=∫12f(x) dx\alpha=\int_1^2 f(x)\,dx, and…HardIntegrals
  19. Q19A line passing through the point A(−2,0)A(-2,0), touches the parabola P:y2=x−2P:y^2=x-2 at the point B in the first quadrant. The area, of the region bounded…MediumConic Sections
  20. Q20If a curve y=y(x)y=y(x) passes through the point (1,π2)\left(1,\frac{\pi}{2}\right) and satisfies the differential equation…HardDifferential Equations
  21. Q21If α\alpha is a root of the equation x2+x+1=0x^2+x+1=0 and ∑k=1n(αk+1αk)2=20\sum_{k=1}^{n}\left(\alpha^k+\frac{1}{\alpha^k}\right)^2=20, then n is equal to ____________.MediumComplex Numbers and Quadratic EquationsNumerical
  22. Q22Let m and n, (m<n)(m<n), be two 2-digit numbers. Then the total numbers of pairs (m,n)(m,n), such that gcd⁡(m,n)=6\gcd(m,n)=6, is __________.HardPermutations and CombinationsNumerical
  23. Q23A card from a pack of 52 cards is lost. From the remaining 51 cards, n cards are drawn and are found to be spades. If the probability of the lost…MediumProbabilityNumerical
  24. Q24Let the three sides of a triangle ABC be given by the vectors 2i^−j^+k^2\hat{i}-\hat{j}+\hat{k}, i^−3j^−5k^\hat{i}-3\hat{j}-5\hat{k} and…MediumVector AlgebraNumerical
  25. Q25If…HardIntegralsNumerical

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.