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JEE Main 2017 · April (offline)

A full paper in the 2017 pattern: Physics, Chemistry and Mathematics, 30 MCQs each, one 180-minute clock. Take it as a timed mock or open it in learn mode and check every answer.

90questions
180 minone clock
360maximum marks
16/52/22easy / medium / hard

Marking scheme and topics

+4 for a correct answer, −1 for a wrong answer. Each subject has 30 questions.

Physics · 30 questions

  • Units and measurements1
  • Kinematics1
  • Work, energy and springs1
  • Momentum and energy1
  • Rotational equilibrium1
  • Compound pendulum1
  • Gravitation1
  • Fluid flow (Torricelli)1
  • Heat conduction1
  • Calorimetry1
  • Thermodynamic cycles1
  • Thermodynamic processes1
  • Thermodynamics of mixing1
  • Simple harmonic motion1

Chemistry · 30 questions

  • Mole concept and stoichiometry1
  • Chemical thermodynamics1
  • Chemical equilibrium (heterogeneous)1
  • Ionic equilibrium (buffers)1
  • Chemical kinetics1
  • Electrochemistry (electrolysis)1
  • Solutions (colligative properties)1
  • Atomic structure (Bohr model, photoelectric effect)1
  • Thermochemistry (calorimetry)1
  • Solid state1
  • Periodic properties1
  • Chemical bonding (bond angles)1
  • Chemical bonding (MOT)1
  • Coordination compounds (CFT)1

Mathematics · 30 questions

  • Complex numbers2
  • Sequences and series2
  • Permutations and combinations2
  • Matrices and determinants2
  • Application of derivatives2
  • Three dimensional geometry2
  • Sets1
  • Relations1
  • Quadratic equations1
  • Binomial theorem1
  • Limits1
  • Continuity1
  • Differentiation1
  • Definite integrals1

Sample question from this paper

Physics · Kinematics · medium

A stone is projected vertically upward with speed 20 m s−120\ \mathrm{m\,s^{-1}} from the top of a tower 25 m25\ \mathrm{m} high. Taking g=10 m s−2g = 10\ \mathrm{m\,s^{-2}} and neglecting air resistance, the average speed of the stone from projection until it strikes the ground is
  1. A. 5 m s−15\ \mathrm{m\,s^{-1}}
  2. B. 9 m s−19\ \mathrm{m\,s^{-1}}
  3. C. 13 m s−113\ \mathrm{m\,s^{-1}}
  4. D. 15 m s−115\ \mathrm{m\,s^{-1}}
Show answer and solution
Answer: C
Taking up as positive and the ground as −25 m-25\ \mathrm{m}: −25=20t−5t2-25 = 20t - 5t^2, so t2−4t−5=0t^2 - 4t - 5 = 0 and t=5 st = 5\ \mathrm{s}. The stone rises h=202/(2×10)=20 mh = 20^2/(2\times 10) = 20\ \mathrm{m} and then falls 20+25=45 m20 + 25 = 45\ \mathrm{m}, so the total path length is 65 m65\ \mathrm{m}. Average speed =65/5=13 m s−1= 65/5 = 13\ \mathrm{m\,s^{-1}}. The value 5 m s−15\ \mathrm{m\,s^{-1}} is the magnitude of the average velocity (25/525/5), which is a different quantity because displacement is not path length.