JEE Main

Crack JEE Main with AceRanker

AI-powered practice, mock tests, and personalised study plans.

Start preparing free

Try 5 JEE Main past-year questions

Pick an answer, then see the worked solution. No account needed.

  1. Question 1 · JEE Main 2025

    If α and β are the roots of the equation 2z2−3z−2i=0, where i=−1, then 16·Re(α19+β19+α11+β11α15+β15)·Im(α19+β19+α11+β11α15+β15) is equal to

    Show the answer and solution

    The answer is 1.

  2. Question 2 · JEE Main 2025

    If the domain of the function f(x)=loge(2x−35+4x)+sin−1(4+3x2−x) is [α,β), then α2+4β is equal to

    Show the answer and solution

    The answer is 2.

  3. Question 3 · JEE Main 2025

    The value of limn→∞(∑k=1nk3+6k2+11k+5(k+3)!) is:

    Show the answer and solution

    The answer is 4.

  4. Question 4 · JEE Main 2025

    Let f:ℝ→ℝ be a function defined by f(x)=(2+3a)x2+(a−1a+2)x+b,a≠1. If f(x+y)=f(x)+f(y)+1−72xy, then the value of 28∑i=15|f(i)| is

    Show the answer and solution

    The answer is 4.

  5. Question 5 · JEE Main 2025

    Given three indentical bags each containing 10 balls, whose colours are as follows :\nRed Blue Green\nBag I 3 2 5\nBag II 4 3 3\nBag III 5 1 4\nA person chooses a bag at random and takes out a ball. If the ball is Red, the probability that it is from bag I is p and if the balls is Green, the probability that it is from bag III is q , then the value of (1p+1q) is :

    Show the answer and solution

    The answer is 3.

Start a free mock

Sign up free, then take a full JEE Main mock test.

3 courses for JEE Main

Pick the course that matches your stage and preparation depth.

JEE Main Full Course

Preparation program for JEE Main Full Course

274 days
FreeEnroll

JEE MAINS 2026

JEE MAINS 2026

FreeEnroll

JEE MAINS 2027

JEE Mains Exam 2027

FreeEnroll

What is the JEE Main exam pattern?

JEE Main Paper 1, for BE and BTech, is a 3-hour computer-based test of 75 compulsory questions: 25 each in Physics, Chemistry and Mathematics. Each subject has 20 multiple-choice and 5 numerical-answer questions. A correct answer earns 4 marks and a wrong one loses 1, for a maximum of 300.

SectionQuestionsMarksDuration
Physics25100—
Chemistry25100—
Mathematics25100—
Total75300180 min

What is the JEE Main syllabus?

The JEE Main Paper 1 syllabus is based on NCERT Class 11 and 12 content. Physics covers mechanics, thermodynamics, electromagnetism, optics, modern physics and experimental skills. Chemistry spans physical, organic and inorganic chemistry. Mathematics includes algebra, calculus, coordinate geometry, trigonometry, vectors, 3D geometry, and statistics and probability. NTA trimmed several topics in 2024.

Mathematics

  • Sets, relations and functions; complex numbers and quadratic equations
  • Matrices and determinants; permutations, combinations and the binomial theorem
  • Sequences and series; limits, continuity and differentiability
  • Integral calculus and differential equations
  • Coordinate geometry, three-dimensional geometry and vectors
  • Statistics, probability and trigonometry

Physics

  • Units and measurement, kinematics, laws of motion, work, energy and power
  • Rotational motion, gravitation, properties of solids and liquids
  • Thermodynamics, kinetic theory, oscillations and waves
  • Electrostatics, current electricity, magnetism, electromagnetic induction and AC
  • Optics, dual nature of matter, atoms and nuclei, electronic devices

Chemistry

  • Physical: basic concepts, atomic structure, bonding, thermodynamics, solutions, equilibrium, redox and electrochemistry, kinetics
  • Inorganic: periodicity, p-, d- and f-block elements, coordination compounds
  • Organic: purification and characterisation, basic principles, hydrocarbons, compounds with halogens, oxygen and nitrogen, biomolecules

When is JEE Main?

JEE Main is held in two sessions a year, in January and April, and you can take one or both; your better NTA score counts. Registration for the January session usually opens in late October or November. Exact dates come in the National Testing Agency's information bulletin, so check the official notice.

EventDateSource
Session 1 registrationLate October to November (expected)Official notice
Session 1 examLate January (expected)Official notice
Session 1 resultFebruary (expected)Official notice
Session 2 registrationFebruary (expected)Official notice
Session 2 examEarly April (expected)Official notice
Final result and ranksApril (expected)Official notice

Who can take JEE Main?

You can take JEE Main if you passed Class 12 in the previous two years or are taking it this year, with Physics and Mathematics plus Chemistry, Biology, Biotechnology or a technical vocational subject. There is no age limit. Each year gives two attempts, across up to three consecutive years.

For admission to NITs, IIITs and other centrally funded institutes, you also need at least 75% in Class 12 (65% for SC and ST candidates), or to be in the top 20 percentile of your board.

The top 2,50,000 candidates in Paper 1 can register for JEE Advanced, the entrance to the IITs.

JEE Main: frequently asked questions

How is my JEE Main score calculated?

Your NTA score is a percentile, normalised across the shifts so a harder shift doesn't count against you. Your rank uses the better of your two session scores.

Is there negative marking on numerical questions?

Yes. A wrong answer loses 1 mark in both the multiple-choice and the numerical-answer questions. An unanswered question scores zero.

How many times can I take JEE Main?

Twice a year, for up to three consecutive years: at most six attempts.

Who can sit JEE Advanced?

The top 2,50,000 candidates in JEE Main Paper 1, split by category, can register for JEE Advanced, the gateway to the IITs.

Can I use a calculator in JEE Main?

No. Calculators and other electronic devices aren't allowed in the exam hall.

Is JEE Main only for engineering?

Paper 1 is for BE and BTech. Paper 2A is for BArch and Paper 2B for BPlanning.

Reviewed by Sachin Gulati, BTech, 15 years teaching JEE Physics. Content updated .

Ready to crack JEE Main?

Sign up free and start your first quiz in under a minute.

Get started

Explore other exams

CATKangaroo Grade 5NEET UGNMTC Primary (Gauss Contest)SOF IEO Grade 6SOF IMO Grade 2SOF IMO Grade 5SOF IMO Grade 6SOF NSO Grade 5SOF NSO Grade 6All exams