Learn

Friday, 9 October

JEE Main 2025 · April session

JEE Main 8 April 2025, Shift 2

75 questions: 15 numerical-answer and 60 multiple choice. 13 were rated hard and 20 easy. By hard questions it ranks 2nd of the 8 2025 shifts Lumi analysed. The biggest chapter was Coordination Compounds, with 3 questions.

Questions
75
none dropped
Numerical answer
15
20% of the shift
Hard
13
17% of the shift
Chapters asked
53
12 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 7Medium 16Hard 2

Top chapters

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

Top chapters

Question format
  • Single correct48 Q
  • Numerical value15 Q
  • Other3 Q
  • Two statements3 Q
  • Match the list3 Q
  • Diagram based2 Q
  • Assertion–reason1 Q
What each question asks you to do
  • Multi-step30 Q
  • Calculation18 Q
  • Application15 Q
  • Conceptual8 Q
  • Recall4 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. Q26A quantity Q is formulated as X−2Y+32Z−25X^{-2}Y^{+\frac{3}{2}}Z^{-\frac{2}{5}}. X, Y and Z are independent parameters which have fractional errors of 0.1,…EasyUnits and Measurements
  2. Q27A body of mass 2 kg moving with velocity of v⃗in=3i^+4j^ ms−1\vec{v}_{in} = 3\hat{i} + 4\hat{j}\ \mathrm{ms^{-1}} enters into a constant force field of 6N directed…EasyLaws of Motion
  3. Q28A rod of linear mass density 'λ\lambda' and length 'L' is bent to form a ring of radius 'R'. Moment of inertia of ring about any of its diameter is.MediumSystem of Particles and Rotational Motion
  4. Q29A block of mass 2 kg is attached to one end of a massless spring whose other end is fixed at a wall. The spring-mass system moves on a frictionless…MediumWork, Energy and Power
  5. Q30Two balls with same mass and initial velocity, are projected at different angles in such a way that maximum height reached by first ball is 8 times…MediumMotion in a Plane
  6. Q31A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an experiment to determine Young's modulus.…MediumMechanical Properties of Solids
  7. Q32Water falls from a height of 200 m into a pool. Calculate the rise in temperature of the water assuming no heat dissipation from the water in the…EasyThermal Properties of Matter
  8. Q33A monoatomic gas having γ=53\gamma = \frac{5}{3} is stored in a thermally insulated container and the gas is suddenly compressed to…EasyThermodynamics
  9. Q34Two strings with circular cross section and made of same material, are stretched to have same amount of tension. A transverse wave is then made to…EasyWaves
  10. Q35Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : Work done in moving a test charge…EasyElectrostatic Potential and Capacitance
  11. Q36An infinitely long wire has uniform linear charge density λ=2\lambda = 2 nC/m. The net flux through a Gaussian cube of side length 3\sqrt{3} cm, if…MediumElectric Charges and Fields
  12. Q37Electric charge is transferred to an irregular metallic disk as shown in figure. If σ1\sigma_1, σ2\sigma_2, σ3\sigma_3 and σ4\sigma_4 are charge…EasyElectrostatic Potential and Capacitance
  13. Q38Two metal spheres of radius R and 3R have same surface charge density σ\sigma. If they are brought in contact and then separated, the surface…EasyElectric Charges and Fields
  14. Q39Figure shows a current carrying square loop ABCD of edge length is 'a' lying in a plane. If the resistance of the ABC part is r and that of ADC part…HardMoving Charges and Magnetism
  15. Q40The amplitude and phase of a wave that is formed by the superposition of two harmonic travelling waves, y1(x,t)=4sin⁡(kx−ωt)y_1(x, t) = 4\sin(kx - \omega t) and…MediumWaves
  16. Q41A concave-convex lens of refractive index 1.5 and the radii of curvature of its surfaces are 30 cm and 20 cm, respectively. The concave surface is…HardRay Optics and Optical Instruments
  17. Q42In a Young's double slit experiment, the source is white light. One of the slits is covered by red filter and another by a green filter. In this caseMediumWave Optics
  18. Q43A convex lens of focal length 30 cm is placed in contact with a concave lens of focal length 20 cm. An object is placed at 20 cm to the left of this…MediumRay Optics and Optical Instruments
  19. Q44For a nucleus of mass number A and radius R, the mass density of nucleus can be represented asEasyNuclei
  20. Q45The output voltage in the following circuit is (Consider ideal diode case)MediumSemiconductor Electronics: Materials, Devices and Simple Circuits
  21. Q46A cube having a side of 10 cm with unknown mass and 200 gm mass were hung at two ends of an uniform rigid rod of 27 cm long. The rod along with…HardSystem of Particles and Rotational MotionNumerical
  22. Q47A thin solid disk of 1 kg is rotating along its diameter axis at the speed of 1800 rpm. By applying an external torque of 25π25\pi Nm for 40s, the…MediumSystem of Particles and Rotational MotionNumerical
  23. Q48A sample of a liquid is kept at 1 atm. It is compressed to 5 atm which leads to change of volume of 0.8 cm3^3. If the bulk modulus of the liquid is…EasyMechanical Properties of FluidsNumerical
  24. Q49Space between the plates of a parallel plate capacitor of plate area 4 cm2^2 and separation of (d) 1.77 mm, is filled with uniform dielectric…MediumElectrostatic Potential and CapacitanceNumerical
  25. Q50An electron is released from rest near an infinite non-conducting sheet of uniform charge density '−σ-\sigma' .The rate of change of de-Broglie wave…MediumDual Nature of Radiation and MatterNumerical

Chemistry Q51–75

  1. Q51Correct statements for an element with atomic number 9 are A. There can be 5 electrons for which ms=+12m_s = +\frac{1}{2} and 4 electrons for which…MediumStructure of Atom
  2. Q52Which of the following binary mixture does not show the behaviour of minimum boiling azeotropes?MediumSolutions
  3. Q53HA(aq)⇌H+(aq)+A−(aq)\mathrm{HA(aq) \rightleftharpoons H^+(aq) + A^-(aq)} The freezing point depression of a 0.1 m aqueous solution of a monobasic weak acid HA is 0.20…MediumSolutions
  4. Q54In a first order decomposition reaction, the time taken for the decomposition of reactant to one fourth and one eighth of its initial concentration…EasyChemical Kinetics
  5. Q55The number of species from the following that are involved in sp3d2\mathrm{sp^3d^2} hybridization is [Co(NH3)6]3+\mathrm{[Co(NH_3)_6]^{3+}}, SF6\mathrm{SF_6},…HardCoordination Compounds
  6. Q56The atomic number of the element from the following with lowest 1st^{st} ionisation enthalpy is :EasyClassification of Elements and Periodicity in Properties
  7. Q57Given below are two statements: Statement I : H2Se\mathrm{H_2Se} is more acidic than H2Te\mathrm{H_2Te} Statement II : H2Se\mathrm{H_2Se} has higher bond…EasyThe p-Block Elements
  8. Q58The correct decreasing order of spin only magnetic moment values (BM) of Cu+\mathrm{Cu^+}, Cu2+\mathrm{Cu^{2+}}, Cr2+\mathrm{Cr^{2+}} and…EasyThe d- and f-Block Elements
  9. Q59Given below are two statements: Statement I : A homoleptic octahedral complex, formed using monodentate ligands, will not show stereoisomerism…MediumCoordination Compounds
  10. Q60Match the LIST-I with LIST-II LIST-I (Complex/ Species) | LIST-II (Shape & magnetic moment) A. [Ni(CO)4]\mathrm{[Ni(CO)_4]} | I. Tetrahedral, 2.8 BM B.…MediumCoordination Compounds
  11. Q61Match the LIST-I with LIST-II LIST-I (Reagent) | LIST-II (Functional Group detected) A. Sodium bicarbonate solution | I. double bond/ unsaturation…MediumAldehydes, Ketones and Carboxylic Acids
  12. Q62On combustion 0.210 g of an organic compound containing C, H and O gave 0.127 g H2O\mathrm{H_2O} and 0.307 g CO2\mathrm{CO_2}. The percentages of…MediumSome Basic Concepts of Chemistry
  13. Q63What is the correct IUPAC name of [structure: cyclopentene ring with an ethyl group on one ring carbon and an OH group on another] ?MediumOrganic Chemistry: Some Basic Principles and Techniques
  14. Q64Match the LIST-I with LIST-II LIST-I | LIST-II A. Carbocation | I. Species that can supply a pair of electrons. B. C-Free radical | II. Species that…EasyOrganic Chemistry: Some Basic Principles and Techniques
  15. Q651,2-dibromocyclooctane →(ii) NaNH2 (iii) Hg2+/H+ (iv) Zn–Hg / H+(i) KOH (alc.)\xrightarrow[\text{(ii) NaNH}_2\ \text{(iii) Hg}^{2+}/\text{H}^+\ \text{(iv) Zn–Hg / H}^+]{\text{(i) KOH (alc.)}} P (major…MediumHaloalkanes and Haloarenes
  16. Q66Choose the correct set of reagents for the following conversion. Ethyl benzene → [structure: p-bromostyrene, i.e. benzene ring with CH=CH2 and Br at…MediumHaloalkanes and Haloarenes
  17. Q67Which one of the following reactions will not lead to the desired ether formation in major proportion ? (iso-Bu ⇒ isobutyl, sec-Bu ⇒ sec-butyl, nPr…MediumAlcohols, Phenols and Ethers
  18. Q68When [structure: CH3C(=O)CH2CH2CH2CH2CHO\mathrm{CH_3C(=O)CH_2CH_2CH_2CH_2CHO}, a skeletal zigzag chain with a methyl ketone at one end and an aldehyde (C=O with H) at…MediumAldehydes, Ketones and Carboxylic Acids
  19. Q69A→(ii) H3O+(i) NaOHB→(ii) H2SO4,Δ(i) EtOHCA \xrightarrow[\text{(ii) H}_3\text{O}^+]{\text{(i) NaOH}} B \xrightarrow[\text{(ii) H}_2\text{SO}_4, \Delta]{\text{(i) EtOH}} C 'A' shows…MediumAmines
  20. Q70[structure: valine, H2N−CH(CH(CH3)2)−COOH\mathrm{H_2N-CH(CH(CH_3)_2)-COOH}; an arrow from it splits into A at pH = 2 and B at pH = 10] Choose the correct option for…MediumBiomolecules
  21. Q7120 mL of sodium iodide solution gave 4.74 g silver iodide when treated with excess of silver nitrate solution. The molarity of the sodium iodide…EasySome Basic Concepts of ChemistryNumerical
  22. Q72The energy of an electron in first Bohr orbit of H-atom is −13.6 eV. The magnitude of energy value of electron in the first excited state of…EasyStructure of AtomNumerical
  23. Q73Resonance in X2Y\mathrm{X_2Y} can be represented as…HardChemical Bonding and Molecular StructureNumerical
  24. Q74The equilibrium constant for decomposition of H2O\mathrm{H_2O} (g) H2O(g)⇌H2(g)+12O2(g)\mathrm{H_2O(g) \rightleftharpoons H_2(g) + \frac{1}{2}O_2(g)} (…MediumEquilibriumNumerical
  25. Q75Consider the following half cell reaction Cr2O72−(aq)+6e−+14H+(aq)⟶2Cr3+(aq)+7H2O(l)\mathrm{Cr_2O_7^{2-}(aq) + 6e^- + 14H^+(aq) \longrightarrow 2Cr^{3+}(aq) + 7H_2O(l)} The reaction was…MediumElectrochemistryNumerical

Maths Q1–25

  1. Q1Let A={0,1,2,3,4,5}A = \{0, 1, 2, 3, 4, 5\}. Let RR be a relation on AA defined by (x,y)∈R(x, y) \in R if and only if max⁡{x,y}∈{3,4}\max\{x, y\} \in \{3, 4\}. Then among the…MediumRelations and Functions
  2. Q2The sum of the squares of the roots of ∣x−2∣2+∣x−2∣−2=0|x-2|^2 + |x-2| - 2 = 0 and the squares of the roots of x2−2∣x−3∣−5=0x^2 - 2|x-3| - 5 = 0, isMediumComplex Numbers and Quadratic Equations
  3. Q3Let A={θ∈[0,2π]:1+10 Re(2cos⁡θ+isin⁡θcos⁡θ−3isin⁡θ)=0}A = \left\{\theta \in [0, 2\pi] : 1 + 10\,\mathrm{Re}\left(\frac{2\cos\theta + i\sin\theta}{\cos\theta - 3i\sin\theta}\right) = 0\right\}.…HardComplex Numbers and Quadratic Equations
  4. Q4Let A=[22+p2+p+q46+2p8+3p+2q612+3p20+6p+3q]A = \begin{bmatrix} 2 & 2+p & 2+p+q \\ 4 & 6+2p & 8+3p+2q \\ 6 & 12+3p & 20+6p+3q \end{bmatrix}. If…MediumDeterminants
  5. Q5Let α\alpha be a solution of x2+x+1=0x^2 + x + 1 = 0, and for some aa and bb in R\mathbb{R},…MediumMatrices
  6. Q6If 114+124+134+…∞=π490\frac{1}{1^4} + \frac{1}{2^4} + \frac{1}{3^4} + \ldots \infty = \frac{\pi^4}{90},…EasySequences and Series
  7. Q7There are 12 points in a plane, no three of which are in the same straight line, except 5 points which are collinear. Then the total number of…EasyPermutations and Combinations
  8. Q8The number of integral terms in the expansion of (512+718)1016\left(5^{\frac{1}{2}} + 7^{\frac{1}{8}}\right)^{1016} isMediumBinomial Theorem
  9. Q9If AA and BB are two events such that P(A)=0.7P(A) = 0.7, P(B)=0.4P(B) = 0.4 and P(A∩B‾)=0.5P(A \cap \overline{B}) = 0.5, where B‾\overline{B} denotes the complement…MediumProbability
  10. Q10A line passing through the point P(a,0)P(a, 0) makes an acute angle α\alpha with the positive xx-axis. Let this line be rotated about the point PP…HardStraight Lines
  11. Q11Let aa be the length of a side of a square OABC with O being the origin. Its side OA makes an acute angle α\alpha with the positive xx-axis and…MediumStraight Lines
  12. Q12Let the ellipse 3x2+py2=43x^2 + py^2 = 4 pass through the centre CC of the circle x2+y2−2x−4y−11=0x^2 + y^2 - 2x - 4y - 11 = 0 of radius rr. Let f1,f2f_1, f_2 be the…MediumConic Sections
  13. Q13The value of…HardInverse Trigonometric Functions
  14. Q14Let a⃗=i^+2j^+k^\vec{a} = \hat{i} + 2\hat{j} + \hat{k} and b⃗=2i^+j^−k^\vec{b} = 2\hat{i} + \hat{j} - \hat{k}. Let c^\hat{c} be a unit vector in the plane of the…MediumVector Algebra
  15. Q15Let the values of λ\lambda for which 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…HardThree Dimensional Geometry
  16. Q16Given below are two statements: Statement I : lim⁡x→0(tan⁡−1x+log⁡e1+x1−x−2xx5)=25\lim_{x \to 0}\left(\frac{\tan^{-1}x + \log_e\sqrt{\frac{1+x}{1-x}} - 2x}{x^5}\right) = \frac{2}{5}…MediumLimits and Derivatives
  17. Q17Let the function f(x)=x3+3x+3f(x) = \frac{x}{3} + \frac{3}{x} + 3, x≠0x \neq 0 be strictly increasing in (−∞,α1)∪(α2,∞)(-\infty, \alpha_1) \cup (\alpha_2, \infty) and…EasyApplication of Derivatives
  18. Q18Let f(x)f(x) be a positive function and I1=∫−1212x f(2x(1−2x)) dxI_1 = \int_{-\frac{1}{2}}^{1} 2x\, f\big(2x(1-2x)\big)\,dx and I2=∫−12f(x(1−x)) dxI_2 = \int_{-1}^{2} f\big(x(1-x)\big)\,dx.…HardIntegrals
  19. Q19The integral ∫−132(∣π2xsin⁡(πx)∣)dx\int_{-1}^{\frac{3}{2}} \left(\left|\pi^2 x \sin(\pi x)\right|\right) dx is equal to :MediumIntegrals
  20. Q20Let f(x)=x−1f(x) = x - 1 and g(x)=exg(x) = e^x for x∈Rx \in \mathbb{R}. If…HardDifferential Equations
  21. Q21Let the domain of the function f(x)=cos⁡−1(4x+53x−7)f(x) = \cos^{-1}\left(\frac{4x+5}{3x-7}\right) be [α,β][\alpha, \beta] and the domain of…MediumRelations and FunctionsNumerical
  22. Q22The product of the last two digits of (1919)1919(1919)^{1919} is __________MediumBinomial TheoremNumerical
  23. Q23Let rr be the radius of the circle, which touches xx-axis at point (a,0)(a, 0), a<0a < 0 and the parabola y2=9xy^2 = 9x at the point (4,6)(4, 6). Then rr…HardConic SectionsNumerical
  24. Q24Let the area of the triangle formed by the lines x+2=y−1=zx + 2 = y - 1 = z, x−35=y−1=z−11\frac{x-3}{5} = \frac{y}{-1} = \frac{z-1}{1} and…HardThree Dimensional GeometryNumerical
  25. Q25Let the area of the bounded region {(x,y):0≤9x≤y2,y≥3x−6}\{(x, y) : 0 \le 9x \le y^2, y \ge 3x - 6\} be AA. Then 6A6A is equal to __________MediumApplication of IntegralsNumerical

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.