Last 5 year JEE Main Maths Question Paper

Hello,

Securing admission to Veer Surendra Sai University of Technology (VSSUT), Burla, or Odisha University of Technology and Research (OUTR), Bhubaneswar, with a JEE Main rank of 4.5 lakh under the ex-servicemen quota is challenging, especially for sought-after branches like Computer Science and Engineering (CSE), Information Technology (IT), and Electronics and Communication Engineering (ECE).

Understanding the Ex-Servicemen Quota: The ex-servicemen quota is typically a horizontal reservation, meaning it cuts across various categories such as General, OBC, SC, and ST. Since you belong to the OBC category, your admission would be considered within the OBC category with the ex-servicemen reservation applied.

VSSUT, Burla: Specific cutoff ranks for the ex-servicemen quota are not readily available. However, general trends indicate that highly sought-after branches like CSE have much lower cutoff ranks. For instance, the expected cutoff for CSE is between 47,176 and 47,181 for general category students. Given your rank, securing admission in top branches at VSSUT may be difficult. https://www.careers360.com/

OUTR (formerly CET), Bhubaneswar: Similarly, detailed cutoff information for the ex-servicemen quota at OUTR is limited. Previous data suggests that the closing rank for B.Tech in Civil Engineering was around 244,549 for general category students. This indicates that less competitive branches may have higher cutoff ranks, but a rank of 4.5 lakh still poses a significant challenge.

Recommendations:

1. Explore State Counseling: Participate in the Odisha Joint Entrance Examination (OJEE) counseling process, as state-level counseling may offer more opportunities, especially under specific quotas.

2. Consider Alternative Institutions: Research other engineering colleges in Odisha and neighboring states that may have higher cutoff ranks, increasing your chances of admission.

3. Look into Management Quotas: Some private institutions offer management quota seats, which might have different eligibility criteria.

4. Prepare for Spot Rounds: Stay informed about spot or mop-up round counseling sessions, where unfilled seats are offered, sometimes with relaxed cutoff ranks.

5. Evaluate Other Engineering Disciplines: Be open to enrolling in engineering branches that are less competitive, as they may have higher cutoff ranks.

Hello,

Yes, you will be eligible for JoSAA counseling in 2026 if you meet the following conditions:

JoSAA Eligibility Rules

• JEE Main Qualification – You must qualify JEE Main 2026 with a valid rank.

• 12th Board Exam Qualification – Your improvement exam in 2026 will be considered, and your latest marks will be valid for eligibility.

• Minimum Percentage Requirement –

For NITs, IIITs, and GFTIs , you need at least 75% marks (65% for SC/ST) in the 12th board exam OR be in the top 20 percentile of your board.

For IITs , you need to qualify JEE Advanced and meet the 75% (or top 20 percentile) rule.

Important Notes:

• JoSAA considers the latest board exam result for eligibility.

• Since you will be appearing for an improvement exam in 2026 , your 2026 marks will be considered for eligibility, not your 2025 results.

• You must ensure that your improvement exam covers all subjects , as JoSAA does not accept partial improvements (only in some subjects).

Hello,

Unfortunately, you are not eligible to appear for JEE Advanced 2025 even if you qualify JEE Mains.

Why?

The eligibility criteria for JEE Advanced state that a candidate can attempt the exam only twice in consecutive years after passing Class 12.

• Since you passed Class 12 in 2023 , your two chances to write JEE Advanced were in 2023 and 2024 (provided you qualified JEE Mains).

• You skipped JEE Advanced in both years, which means you are no longer eligible for JEE Advanced 2025 .

What Can You Do?

1. Focus on JEE Mains: You can still get into NITs, IIITs, and GFTIs if you score well in JEE Mains.

2. Consider Private or State Engineering Colleges: Many top private colleges accept JEE Main scores or conduct their own entrance exams (e.g., BITS Pilani, VIT, SRM, Manipal, etc.).

3. Explore Other Career Options: If you are open to different career paths, you can consider other entrance exams or alternative fields.

Hello,

Understanding the chapter-wise weightage for the JEE Main exam can help you prioritize topics effectively. Below is a breakdown of the approximate weightage for Class 11 and Class 12 chapters in Physics, Chemistry, and Mathematics:

Physics:

• Class 11 Topics:

Kinematics: Approximately 3.3%

Laws of Motion: Approximately 6.6%

Work, Energy, and Power: Approximately 6.6%

Rotational Motion: Approximately 6.6%

Gravitation: Approximately 3.3%

Thermodynamics: Approximately 6.6%

Waves: Approximately 3.3%

• Class 12 Topics:

Electrostatics: Approximately 9.9%

Current Electricity: Approximately 9.9%

Magnetism: Approximately 6.6%

Optics: Approximately 9.9%

Modern Physics: Approximately 15.9%

Chemistry:

• Class 11 Topics:

Mole Concept: Approximately 3.3%

Chemical Bonding: Approximately 6.6%

Thermodynamics: Approximately 6.6%

Equilibrium: Approximately 6.6%

Redox Reactions: Approximately 3.3%

• Class 12 Topics:

Solid State: Approximately 3.3%

Solutions: Approximately 3.3%

Electrochemistry: Approximately 3.3%

Chemical Kinetics: Approximately 3.3%

Coordination Compounds: Approximately 10%

Organic Chemistry (various topics): Each approximately 3.3%

Mathematics:

Class 11 Topics:

Sets, Relations, and Functions: Approximately 3.3%

Trigonometry: Approximately 3.3%

Sequences and Series: Approximately 3.3%

Permutations and Combinations: Approximately 3.3%

Binomial Theorem: Approximately 3.3%

• Class 12 Topics:

Matrices and Determinants: Approximately 6.6%

Limits, Continuity, and Differentiability: Approximately 10%

Integral Calculus: Approximately 10%

Differential Equations: Approximately 3.3%

Vector Algebra: Approximately 6.6%

Three-Dimensional Geometry: Approximately 6.6%

Please note that these percentages are approximate and based on previous years' trends. The actual weightage can vary in the exam. It's essential to have a comprehensive understanding of all topics for a well-rounded preparation.

Hello,

Focusing on high-weightage and scoring chapters can enhance your performance in the JEE Main second attempt. Here's a subject-wise breakdown of important chapters:

Physics:

• Modern Physics: Topics like the Photoelectric Effect, Atomic Structure, and Nuclear Physics are frequently tested and can be scoring.

• Electrostatics and Current Electricity: Fundamental concepts such as Coulomb's Law, Electric Fields, and Circuits are essential.

• Magnetism and Electromagnetic Induction: Understanding Magnetic Fields, Faraday's Laws, and Induced EMF is crucial.

• Optics: Both Ray Optics and Wave Optics are significant, covering lenses, mirrors, and phenomena like interference and diffraction. https://www.careers360.com/

• Thermodynamics and Kinetic Theory: Grasping laws of thermodynamics and molecular theory of gases can be beneficial. https://www.careers360.com/

Chemistry:

• Physical Chemistry:

Chemical and Ionic Equilibrium: Focus on concepts of acids, bases, and solubility product.

Electrochemistry and Thermodynamics: Study galvanic cells, Nernst equation, and Gibbs free energy.

• Organic Chemistry:

General Organic Chemistry (GOC) and Reaction Mechanisms: Understanding electron displacement effects and reaction intermediates is vital.

Hydrocarbons, Haloalkanes, and Haloarenes: Emphasize reaction mechanisms and properties.

Alcohols, Phenols, and Ethers: Study their preparation methods and reactions.

Biomolecules and Polymers: Focus on structures and functions of carbohydrates, proteins, and synthetic polymers.

• Inorganic Chemistry:

Coordination Compounds: Learn about ligands, coordination numbers, and isomerism.

Periodic Table and Chemical Bonding: Understand periodic trends and types of bonds.

Mathematics:

• Algebra:

Complex Numbers and Quadratic Equations: Master operations on complex numbers and solving quadratic equations.

Sequences and Series: Focus on arithmetic and geometric progressions.

Permutation and Combination: Understand counting principles and applications.

Binomial Theorem: Study expansion and general term calculation.

• Calculus:

Limits, Continuity, and Differentiability: Grasp the foundational concepts of calculus. https://www.careers360.com/

Integral Calculus: Practice definite and indefinite integrals and their applications.

Differential Equations: Learn methods of solving first-order equations.

• Coordinate Geometry:

Straight Lines and Circles: Focus on equations, slopes, and geometric interpretations.

Conic Sections (Parabola, Ellipse, Hyperbola): Understand standard equations and properties.

• Trigonometry: Emphasize trigonometric functions, identities, and equations.

• Vector Algebra and Three-Dimensional Geometry: Study vector operations and equations of lines and planes in space.

Prioritizing these chapters can help you focus your preparation effectively. However, ensure a comprehensive understanding of all topics, as the JEE Main exam can include questions from the entire syllabus. Regular practice and solving previous years' question papers will further enhance your readiness.

Hi Niladra, here's a link for most repeated questions for JEE Mains https://engineering.careers360.com/articles/most-repeated-questions-in-jee-mains-comprehensive-analysis

Most important questions for JEE https://engineering.careers360.com/articles/jee-main-2025-session-2-important-questions

Expected questions for JEE https://www.careers360.com/question-what-are-most-expected-questions-in-jee-main-2025

Hope these Links provide you the sufficient information for your JEE preparation.

hi Siddhant,

these are some of the engineering colleges in Maharashtra,

• Indian institute of technology Bombay
• Vishwakarma institute of technology
• college of engineering pune
• veermata jijabai technological institute
• Shivaji university, Kolhapur
• sardar Patel college of engineering
• Rajiv Gandhi institute of technology
• mit college of engineering
• DY Patil college of engineering
• pune institute of computer technology
• SIES graduate school of technology
• Bharati Vidyapeeth college of engineering

hope this helps

thankyou

Hi misha.

For jee 2026 first thing you can do is checkout previous year question paper and then firstly analyse the topics priority wise.

Create a study plan so that you can divide your subjects as per no of hours and your strengths and weakness.

You can join a good coaching platform so that you can build your concepts and get guided as per doubts.

Thanks.

Yes, you are eligible for both JEE Mains 2026 and JEE Advanced 2026 because:

• JEE Mains : You can attempt for 3 years after 12th (2024, 2025, 2026).

• JEE Advanced : You get 2 consecutive attempts (2025 & 2026).

So, if you don’t qualify for Advanced in 2025, you still have a chance in 2026.

All the best!!

Hello,

To gain admission to the BS-MS program at IISc Bangalore , you can apply through JEE Advanced or the IISER Aptitude Test (IAT).

Here's a summary of the previous years' cutoffs:

JEE Advanced Cutoff for IISc Bangalore (BS-MS)

• General: Around 757 rank

• OBC-NCL: Around 755 rank

• SC: Around 559 rank

• ST: Around 295 rank

IAT Cutoff for IISc Bangalore (BS-MS)

• General: Around 17 rank

• OBC-NCL: Around 420 rank

• SC: Around 1,236 rank

• ST: Around 4,897 rank

Cutoffs vary yearly based on difficulty and applicants, so aim for a high score.

Hope it helps !