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JEE Advanced 2025 · Paper 2

A full paper in the 2025 Paper 2 pattern: Physics, Chemistry and Mathematics, 16 questions each, one 180-minute clock. Take it as a timed mock or open it in learn mode and check every answer.

48questions
180 minone clock
180maximum marks
0/28/20easy / medium / hard
Start timed mockStudy with solutions

Sections and marking

Each subject has the same 3 sections, 60 marks per subject.

SectionTypeQuestionsMarking
Section 1Single correct4+3 / -1
Section 2One or more correct4+4 all correct, partial +3/+2/+1, -2 otherwise
Section 3Numerical value8+4, no negative

Topics in this paper

Physics · 16 questions

  • Rolling and collisions1
  • Thermodynamic cycle and kinetic theory1
  • Interference with thin film in a medium1
  • Bohr model and photoelectric effect with magnetic field1
  • SHM of floating body in accelerating frame1
  • Capacitors with partially filled dielectric and energy1
  • EMI on inclined rails1
  • Doppler effect with reflection and beats1
  • Rotation of rod and elastic collision1
  • Conduction in series and calorimetry1
  • Orbital mechanics and Kepler's laws1
  • Infinite resistor network1
  • Charged particle in crossed electric and magnetic fields1
  • Prism, minimum deviation and dispersion1

Chemistry · 16 questions

  • Electrochemistry and solubility product1
  • Stereochemistry of alkene and alkyne reactions1
  • Coordination compounds1
  • Chemical equilibrium (gaseous)1
  • Oxoacids and oxides of phosphorus1
  • Named reactions of carbonyl compounds and elimination1
  • Thermodynamics1
  • Solid state1
  • Ionic equilibrium1
  • Chemical kinetics1
  • Ozonolysis and haloform reaction1
  • Carbohydrates1
  • Chemical bonding1
  • Thermal decomposition of nitrates1

Mathematics · 16 questions

  • Functional equations and integration1
  • Conics and area1
  • Conditional probability (Bayes)1
  • Matrices (nilpotent powers)1
  • Applications of derivatives1
  • 3D geometry (skew lines)1
  • Differential equations1
  • Permutations and combinations1
  • Binomial and multinomial expansions1
  • Trigonometric equations1
  • Vectors1
  • Ellipse (tangents and extrema)1
  • Integral equations1
  • Probability (recursion and generating functions)1

Sample question from this paper

Mathematics · Applications of derivatives: monotonicity of ln x / x · one or more options correct

Let g(x)=ln⁡xxg(x)=\dfrac{\ln x}{x} for x>0x>0. Which of the following statements is/are correct?
  1. A. gg attains its maximum value 1e\dfrac1e at x=ex=e
  2. B. π e>e π\pi^{\,e}>e^{\,\pi}
  3. C. The equation x3=3xx^{3}=3^{x} has exactly two real solutions
  4. D. 20242025>202520242024^{2025}>2025^{2024}
Show answer and solution
Answer: A, C, D
g′(x)=1−ln⁡xx2g'(x)=\dfrac{1-\ln x}{x^2}, positive on (0,e)(0,e) and negative on (e,∞)(e,\infty), so gg increases up to x=ex=e and decreases afterwards; the maximum is g(e)=1eg(e)=\tfrac1e. (A) true. (B) Since π>e\pi>e, g(π)<g(e)g(\pi)<g(e), i.e. ln⁡ππ<1e\dfrac{\ln\pi}\pi<\dfrac1e, so eln⁡π<πe\ln\pi<\pi and πe<eπ\pi^e<e^\pi; the claim πe>eπ\pi^e>e^\pi is false. (C) For x>0x>0, x3=3x  ⟺  g(x)=g(3)=ln⁡33>0x^3=3^x\iff g(x)=g(3)=\dfrac{\ln3}3>0. Since gg is strictly increasing on (0,e)(0,e) from −∞-\infty to 1e\tfrac1e and strictly decreasing on (e,∞)(e,\infty), the value g(3)<1eg(3)<\tfrac1e is taken exactly once on each side: at x=3x=3 and at some x≈2.48x\approx2.48. For x≤0x\le0, x3≤0<3xx^3\le0<3^x, so no roots there. Exactly two: true. (D) g(2024)>g(2025)g(2024)>g(2025) (both exceed ee), so 2025ln⁡2024>2024ln⁡20252025\ln2024>2024\ln2025, i.e. 20242025>202520242024^{2025}>2025^{2024}: true. Correct: A, C, D.

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