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JEE Advanced 2025 · Paper 1

A full paper in the 2025 Paper 1 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
2/29/17easy / medium / hard
Start timed mockStudy with solutions

Sections and marking

Each subject has the same 4 sections, 60 marks per subject.

SectionTypeQuestionsMarking
Section 1Single correct4+3 / -1
Section 2One or more correct3+4 all correct, partial +3/+2/+1, -2 otherwise
Section 3Numerical value6+4, no negative
Section 4Matching lists3+4 / -1

Topics in this paper

Physics · 16 questions

  • Rolling motion and spring energy1
  • Fluids and simple harmonic motion1
  • Kinetic theory and thermodynamic processes1
  • Photoelectric effect and motion in a magnetic field1
  • Electromagnetic induction on rails1
  • Doppler effect and beats1
  • Capacitors with dielectric slab1
  • Rotational dynamics1
  • Heat conduction and calorimetry1
  • Motion of a charged particle in electric and magnetic fields1
  • Bohr model and de Broglie wavelength1
  • Interference with a slab in a medium1
  • RC circuits and energy dissipation1
  • Molar heat capacity of ideal gas processes1

Chemistry · 16 questions

  • Electrochemistry and solubility product1
  • Chemical kinetics1
  • Stereochemistry of addition and elimination1
  • Coordination compounds1
  • Chemical equilibrium1
  • Alcohol dehydration and carbocation rearrangement1
  • p-block1
  • Colligative properties1
  • Electrolysis and Faraday's laws1
  • Haloform reaction and stoichiometry1
  • Free-radical halogenation selectivity1
  • Redox titration with permanganate1
  • Structures of sulfur oxoanions1
  • Ionic equilibrium1

Mathematics · 16 questions

  • 3D geometry1
  • Conditional probability (Bayes)1
  • Matrices and eigenvalues1
  • Complex numbers and locus1
  • Limits, continuity and differentiability1
  • Binomial coefficient identities1
  • Parabola and focal chords1
  • Linear differential equations1
  • Application of derivatives1
  • Circles1
  • Geometric probability1
  • Conditional probability and geometric-type games1
  • Permutations and inclusion-exclusion1
  • Complex numbers and equation counting1

Sample question from this paper

Mathematics · Limits, continuity and differentiability · one or more options correct

Define f(x)=lim⁡n→∞x2n x2+xx2n+1f(x)=\displaystyle\lim_{n\to\infty}\frac{x^{2n}\,x^{2}+x}{x^{2n}+1} for real xx. Which of the following statements is/are correct?
  1. A. ff is continuous at x=1x=1
  2. B. ff is differentiable at x=1x=1
  3. C. f(−1)=0f(-1)=0
  4. D. ∫02f(x) dx=196\displaystyle\int_{0}^{2}f(x)\,dx=\dfrac{19}{6}
Show answer and solution
Answer: A, C
For ∣x∣<1|x|<1, x2n→0x^{2n}\to0 so f(x)=xf(x)=x. For ∣x∣>1|x|>1, x2n→∞x^{2n}\to\infty and f(x)=x2f(x)=x^{2}. At x=±1x=\pm1, x2n=1x^{2n}=1, so f(±1)=x2+x2f(\pm1)=\frac{x^2+x}{2}, giving f(1)=1f(1)=1 and f(−1)=0f(-1)=0. (A) True: the left limit at 11 is 11, the right limit is 12=11^2=1 and f(1)=1f(1)=1. (B) False: from the left f′=1f'=1, from the right f′=2x=2f'=2x=2, so the one-sided derivatives differ and ff is not differentiable at 11. (C) True: f(−1)=1−12=0f(-1)=\frac{1-1}{2}=0 (note that ff is discontinuous there, since the left limit is −1-1 and the right limit is 11). (D) False: ∫02f dx=∫01x dx+∫12x2dx=12+73=176\int_0^2 f\,dx=\int_0^1x\,dx+\int_1^2x^2dx=\frac12+\frac73=\frac{17}{6}, not 196\frac{19}{6}. Correct options: A and C.

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