Careers360 Logo
Search Colleges, Exams, Schools & more
ask-icon
share
    JEE Main 2021 Question Paper PDF with Solutions

    JEE Main 2021 Question Paper PDF with Solutions

    #JEE Main
    Simran KashyapUpdated on 09 Apr 2026, 02:35 PM IST

    JEE Main 2021 Question Paper: Applicants appearing for the JEE Main exam can check the JEE Main 2021 question paper with the solution PDF download link here in this article. The JEE Main question paper PDF 2021 helps students to assess their performance, estimate their scores, and tentatively gauge their ranks. The question paper for JEE Main 2021 is important sources material for preparation for the upcoming JEE Main exam. Candidates can find the JEE Main question papers and solutions for both the sessions and previous year questions with oultions PDF. The authority conducted the JEE Main exam in four sessions in 2021. Due to the COVID pandemic, the JEE Main 2021 paper was conducted in four sessions (i.e. February, March, July, and August).

    This Story also Contains

    1. JEE Main 2021 Question Paper with Solutions PDF
    2. JEE Main Sample Paper PDF
    3. Benefits of Solving JEE Main Question Papers 2021
    4. Few Solved Questions from JEE Main 2021 Paper
    JEE Main 2021 Question Paper PDF with Solutions
    JEE Main 2021 Question Paper PDF with Solutions

    JEE Main 2021 Question Paper with Solutions PDF

    Applicants looking for the JEE Main Question Paper 2021 PDF download for all shift question paper PDFs with solutions PDFs can check the table below:

    The question PDFs has a total of 2340 questions for practice for applicants. This will help candidates to analyse the exam pattern, key focus topics, time-management, and others. This consists questions from all the sections of Physics, Maths, and Chemistry.

    JEE Main 2021 Question Paper PDF With Solutions July Session

    JEE Main 2021 Question Paper PDF by Resonance

    JEE Main 2021 Question Paper PDF by Reliable Kota

    JEE Main Question Paper 2021

    The IIT JEE question paper 2021 is mentioned here in this article. Candidate ca access the link for the JEE Main 2021 question paper PDF in this article. Students can also check the JEE Main answer key for all the question papers given here. The JEE Main question paper 2021 with solutions will help candidates to cross-check their answers. Aspirants appearing for the upcoming JEE Main exam usually solves JEE Mains 2021 question paper with solutions to get a idea of the level of difficulty exams, question types, and others.

    The JEE Main 2021 question paper solutions is made available in the PDF format for free. Candidates should prepare using the JEE Main syllabus and exam structure for effective preparation for the JEE Main examination .These sources can provide invaluable preparation tips and recommendations on essential reference books. Detailed information about JEE Main 2021 question papers is available in the provided article.

    Previous Year’s JEE Main PYQ with Solutions

    Confused About College Admissions?

    Get expert advice on college selection, admission chances, and career path in a personalized counselling session.

    Book a Counselling Slot
    Select Date
    Pick a Slot

    JEE Main Sample Paper PDF

    Applicants giving the IIT JEE Main exam should also solve and practice sample papers. The sample papers for the JEE Main exam uusally helps candidates to understand the exam pattern, difficulty questions,time-solving, and others. The sample papers are carefully aligned with the JEE Main syllabus. Candidates can download the JEE Main sample paper in PDF format in the link below.

    JEE Main Sample Paper


    JEE Main 2024 Sample Paper pdf

    JEE Main 2023 Sample Paper pdf

    JEE Main 2022 Sample Paper pdf

    JEE Main 2026 Sample Paper Pdf


    JEE Main Paper 1

    JEE Main Paper 2

    JAC Delhi B.Tech Admission

    CSAB

    JoSAA Counselling

    MP B.E Admission

    Haryana Admission

    Uttarakhand Admission

    Maharashtra CAP All India Counselling

    UPTAC

    WBJEE Counselling

    IPU CET Counselling

    Chandigarh Admission

    TIET B.Tech Admission

    IIIT Hyderabad B.Tech Admission

    Benefits of Solving JEE Main Question Papers 2021

    Below are some of the advantages for solving the JEE Main 2021 question papers. Candidates can check some of them from below:

    • Clarity on Question Types: Solving JEE Main 2021 question papers helps candidates to analyse the question types, weighatage, key topics, and difficulty of questions in the exam.

    • Understanding the Exam Pattern: Solving the IIT JEE 2021 question papers makes students familiar with the JEE Main exam pattern and marking scheme.

    • Knowledge Assessment: It serves as a tool to gain their knowledge about weightage and time-management.

    • Skill Enhancement: Practice enhances problem-solving abilities and time management skills.

    • Real-time Experience: provides a real-time feel of the exam environment with management of time within solving questions.

    • Effective Preparation Strategy: Helps in devising an efficient and result-oriented preparation plan.

    Amity University Noida-B.Tech Admissions 2026

    Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026

    Apply
    UPES B.Tech Admissions 2026

    Last Date to Apply: 29th April | Ranked #43 among Engineering colleges in India by NIRF | Highest Package 1.3 CR , 100% Placements

    Apply

    Few Solved Questions from JEE Main 2021 Paper

    1. (Subject - Physics, Chapter - Current Electricity, Shift - 20 July shift 1)

    Question:-

    1719990199500

    The value of current in the 6\; \Omega resistance is :

    1. 4A

    2. 8A

    3. 10A

    4. 6A

    JEE Main 2026 Rank Predictor
    Use the JEE Main 2026 Rank Predictor to estimate your expected rank based on your scores or percentile and plan your college options smartly.
    Try Now

    Answer- 3) 10A

    Solution:-

    1719990199548

    Applying KCL at the junction with voltage x (assigned)

    1719990199447

    By KCL,

    \text{I}_{1}+\text{I}_{2}+\text{I}_{3}= 0

    \left(\frac{x-90}{5}\right)+\left(\frac{x-140}{20}\right)+\left(\frac{x-0}{6}\right)=0

    \begin{aligned} 24 x-24 \times 90+6 x-6 \times 140+20 x=0 \\ \end{aligned}

    \begin{aligned} 50 x &=24 \times 90+6 \times 140 \\ \end{aligned}

    \begin{aligned} &=6[4 \times 90+140] \\ \end{aligned}

    \begin{aligned} 50 x &=3000 \\ \end{aligned}

    \begin{aligned} x &=60 \mathrm{~V} \end{aligned}

    Current through 6\; \Omega resistor is

    I_{3}=\left(\frac{x-0}{6}\right)=\left(\frac{60-0}{6}\right)=10 \mathrm{~A}

    The correct option is (3)

    2. (Subject - Maths, Chapter - Integral Calculus, Shift - 27 August Shift 1)

    Question:- \int_{6}^{16} \frac{\log _{\mathrm{e}} x^{2}}{\log _{\mathrm{e}} x^{2}+\log _{\mathrm{e}}\left(x^{2}-44 x+484\right)} \mathrm{d} x is equal to:

    1. 5

    2. 10

    3. 8

    4. 6

    Amrita University B.Tech 2026

    Application Deadline: 15th April | Recognized as Institute of Eminence by Govt. of India | NAAC ‘A++’ Grade | Upto 75% Scholarships

    Apply
    MAHE, Manipal - B.Tech Admissions 2026

    Last Date to Apply: 26th April | NAAC A++ Accredited | NIRF Rank #3

    Apply

    Answer- 1) 5

    Solution:-

    Let\, I= \int_{6}^{16}\frac{\log_{e} x^{2} }{\log_{e}x^{2}+\log_{e}\left ( 22-x \right )^{2}}dx ---\left ( 1 \right )

    Using properties of Integral

    I= \int_{6}^{16}\frac{\log_{e} \left ( 6+16-x \right )^{2}}{\log_{e}\left ( 6+16-x \right )^{2}+\log_{e}\left ( 22-\left ( 6+16-x \right ) \right )^{2}}dx

    \Rightarrow I= \int_{6}^{16}\frac{\log_{e} \left ( 22-x \right )^{2}}{\log_{e}\left ( 22-x \right )^{2}+\log_{e}x^{2}}dx---\left ( 2 \right )

    Adding (1) and (2)

    2I= \int_{6}^{16}\frac{\log_{e}x^{2}+\log_{e}\left ( 22-x \right )^{2}}{\log_{e}x^{2}+\log_{e}\left ( 22-x \right )^{2}}dx

    \Rightarrow 2I= \int_{6}^{16}dx= 10

    \Rightarrow I= 5

    Hence, the answer is the option 1.

    3. (Subject - Chemistry, Chapter - Equilibrium, Shift - 31 August Shift 1)

    Question:-

    \mathrm{A}_{3} \mathrm{~B}_{2} is a sparingly soluble salt of molar mass \mathrm{M (g\ mol^{-1})} and solubility x \mathrm{~g} \mathrm{}^{-1}. The solubility product satisfies \mathrm{K}_{\mathrm{sp}}=a\left(\frac{x}{\mathrm{M}}\right)^{5}. The value of a is __________. (Integer answer)

    Answer- (108)

    Solution:-

    Given,

    \mathrm{solubility\, of\, A_{3}B_{2}}= x\ \mathrm{gL^{-1}}

    \mathrm{\therefore solubility\, in\,\frac{moles}{lit}= \left ( \frac{x}{M} \right )\, mol\, L^{-1}}

    {\therefore \mathrm{s}= \left ( \frac{x}{\mathrm{M}} \right )}

    Now, \mathrm{ A_{3}B_{2}} dissolves as

    \mathrm{A_{3}B_{2}\rightleftharpoons 3A^{2+}+2B^{3-}}

    \quad - \quad\quad\quad 3s\quad\quad\quad2s

    Expression for solubility product gives us

    \mathrm{\therefore K_{sp}= \left ( 3s \right )^{3}\left ( 2s \right )^{2}} \mathrm{=108 \, s^{5}} \mathrm{=108 \left ( \frac{x}{M} \right )^{5}}

    Hence, the answer is (108).

    JEE Main Syllabus: Subjects & Chapters
    Select your preferred subject to view the chapters

    Frequently Asked Questions (FAQs)

    Q: What is the mode of examination for JEE Main?
    A:

    JEE Main is conducted online as a computer-based test. While Paper-1 is entirely computer-based, Paper-2 includes computer-based Mathematics and Aptitude sections, along with a pen-and-paper-based Drawing exam.

    Q: Could you explain the exam pattern for JEE Main?
    A:

    The exam pattern for JEE Main consists of a total of 75 questions (i.e. 25 questions each in Physics, Maths and Chemistry), with candidates required to attempt all 75 questions. Each subject consists of 2 sections (i.e. Section A with 20 MCQs and Section B with 5 questions whose answers are to be filled in as a numerical value). In Section B candidates have to attempt all 5 questions.

    Q: What types of questions can I anticipate in JEE Main?
    A:

    JEE Main question paper primarily comprises 2 types of questions i.e. 1. Multiple-choice type questions and 2. Questions whose answers are to be filled in as a numerical value covering the subjects of Physics, Chemistry, and Mathematics.

    Q: Has the NTA modified the syllabus for JEE Main?
    A:

    Yes, the syllabus for JEE Main has changed from the previous year.

    Q: In what languages is the JEE Main question paper available?
    A:

    The JEE Main question paper is available in a bilingual medium, encompassing 13 different languages, including Hindi, Urdu, Bengali, Gujarati, and more.

    Q: Do I need to attempt all the questions in each section of the JEE Main?
    A:

    Yes, all the questions are compulsory. For each subject, In Section A candidates can attempt all 20 questions and in Section B candidates also attempt all 5 questions.

    Q: What are the advantages of practising previous years' JEE Main question papers?
    A:

    Solving previous years' question papers can help candidates grasp the exam pattern, identify important topics, assess areas of weakness, and enhance speed and accuracy in answering questions.

    Articles
    Related Stories
    |
    Upcoming Engineering Exams
    Hindustan Institute of Technology and Science Engineering Entrance Examination
    Ongoing Dates
    HITSEEE Application Date

    5 Nov'25 - 22 Apr'26 (Online)

    Sathyabama All India Entrance Examination
    Ongoing Dates
    SAEEE Application Date

    27 Nov'25 - 25 Apr'26 (Online)

    Institute of Engineering and Management Joint Entrance Exam
    Ongoing Dates
    IEMJEE Exam Date

    5 Jan'26 - 30 Apr'26 (Online)

    Certifications By Top Providers
    Online Certificate Course on Cyber Laws
    Via Indian Law Institute, New Delhi
    Basic Programming using Python
    Via Indian Institute of Technology Bombay
    Software Engineering Essentials
    Via Technical University of Munich, Munich
    Material Science
    Via Indira Gandhi National Open University, New Delhi
    B.Tech Engineering Technology
    Via Birla Institute of Technology and Science, Pilani
    Principles of Digital Communications
    Via Indian Institute of Technology Delhi
    Udemy
     1525 courses
    Swayam
     817 courses
    NPTEL
     773 courses
    Coursera
     697 courses
    Edx
     608 courses
    Explore Top Universities Across Globe
    Georgia Institute of Technology, Atlanta
    North Avenue, Atlanta, Georgia 30332
    University of Nottingham, Nottingham
    University Park, Nottingham NG7 2RD
    Texas A and M University, College Station
    400 Bizzell St College Station, Texas 77843
    University College London, London
    Gower Street, London, WC1E 6BT
    Michigan Technological University, Houghton
    1400 Townsend Drive, Houghton, Michigan 49931-1295
    University of Strathclyde, Glasgow
    16 Richmond St, Glasgow G1 1XQ

    Popular Courses and Specializations

    Popular Degrees

    Popular Branches

    List of colleges accepting JEE Main

    Questions related to JEE Main

    On Question asked by student community

    Have a question related to JEE Main ?
    can anyone tell me if in jee mains obc ncl rank will be something around 1 lakhs to 1.3 lakh then will this rank will be used for seat allocation in ojee counselling 2026 ?? also in ojee obc ncl category rank is used as crl for counselling???

    Yes, with a rank of 1 to 3 lakh in OBC-NCL, you may elligible for to participate in OJEE 2026 counselling . OJEE counselling primarily uses the JEE Main Common Rank List for seat allocation; it also considers OBC-NCL category ranks for state reservation benefits. If your OBC-NCL rank is

    Read Complete Answer
    K
    Kanak Mukhija
    9 Apr'26
    what is the rrsult date of jee mains

    The result date for JEE Main session 2 is April 20, 2026.

    Read Complete Answer
    S
    Simran Kashyap
    8 Apr'26
    I am a JEE 2028 aspirant. Please suggest vibrant online or motion online??

    Both the coaching institutions are well known for their JEE classes. Based on online reviews, Vibrant Academy is known to offer classes with a higher focus on JEE Advanced, meaning tougher maths and physics questions. Whereas Motion is known for a balanced approach between JEE Main and JEE Advanced.
    You

    Read Complete Answer
    K
    K Guna Sahiti
    9 Apr'26
    Jee mains hindi medium memory based question

    Hi Bhanu Pratap,

    You can get JEE Mains 2026 Hindi Medium memory based question and answers from the link provided below.

    Link: https://engineering.careers360.com/hi/articles/jee-main-question-paper-hindi-medium

    Read Complete Answer
    C
    Chintakuntla Sai Gnan
    8 Apr'26
    what is rank on 100 marks in jee advance 2018

    The expected rank on 100 marks in JEE Advanced 2018 was 8000-12000 rank. You can check the JEE Advanced rank predictors to know better - https://engineering.careers360.com/jee-advanced-rank-predictor

    Read Complete Answer
    S
    Simran Kashyap
    8 Apr'26
    View all

    Popular JEE Main Questions

    Are previous year questions repeated in JEE Mains?
    Read Complete Answer
    How to crack JEE Main in 1st attempt?
    Read Complete Answer
    When will JEE Main admit card come?
    Read Complete Answer
    How to check JEE Main Exam Centre?
    Read Complete Answer
    How to check JEE Main Result?
    Read Complete Answer
    How to make jee main admit card correction?
    Read Complete Answer
    How to download jee main admit card?
    Read Complete Answer
    How to download JEE Main admit card without password?
    Read Complete Answer
    What not to carry to JEE Main exam hall?
    Read Complete Answer
    What to carry to the exam hall of JEE Main 2018?
    Read Complete Answer

    B.Tech/B.Arch Admissions OPEN

    Amity University Noida-B.Tech Admissions 2026
    Apply

    Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026

    UPES B.Tech Admissions 2026
    Apply

    Last Date to Apply: 29th April | Ranked #43 among Engineering colleges in India by NIRF | Highest Package 1.3 CR , 100% Placements

    GNA University B.Tech Admissions 2026
    Apply

    100% Placement Assistance | Avail Merit Scholarships | Highest CTC 43 LPA

    MAHE, Manipal - B.Tech Admissions 2026
    Apply

    Last Date to Apply: 26th April | NAAC A++ Accredited | NIRF Rank #3

    Amrita University B.Tech 2026
    Apply

    Application Deadline: 15th April | Recognized as Institute of Eminence by Govt. of India | NAAC ‘A++’ Grade | Upto 75% Scholarships

    RV University, Mysuru | B.Tech Admissions 2026
    Apply

    World-class and highly qualified engineering faculty. High-quality global education at an affordable cost

    View all Application Forms

    JEE Main Notifications

    Latest updates

    Explore Career Options

    By Industry
    Flight Attendant

    A flight attendant ensures passenger safety and comfort during flights. Key duties include conducting safety checks, assisting passengers, serving food and drinks, and managing emergencies. They must be well-trained in safety procedures and customer service. A high school diploma is typically required, followed by rigorous training to qualify for the role.

    3 Jobs Available
    Flight Engineer

    A Flight Engineer monitors and operates an aircraft’s complex systems like engines, fuel, and hydraulics during flight, ensuring optimal performance and safety. They assist pilots with technical issues, conduct inspections, and maintain records. This role requires strong technical knowledge, problem-solving, and communication skills. Training usually involves a degree in aviation or aerospace engineering and specialised certification.

    2 Jobs Available
    Aircrew officer

    An Aircrew Officer operates and navigates aircraft, ensuring safe flights and compliance with aviation regulations. Key duties include managing flight systems, conducting pre- and post-flight checks, and adhering to safety standards. The role typically requires working five days a week, with around 120 flight hours monthly. Employment may be contractual or permanent, depending on the airline.

    2 Jobs Available
    Aerospace Engineer

    An aerospace engineer designs, develops, tests, and maintains aircraft, spacecraft, and related systems. They apply physics and engineering principles to improve aerospace technologies, often working in aviation, defence, or space sectors. Key tasks include designing components, conducting tests, and performing research. A bachelor’s degree is essential, with higher roles requiring advanced study. The role demands analytical skills, technical knowledge, precision, and effective communication.

    2 Jobs Available
    Air Hostess

    An air hostess, or flight attendant, ensures passenger safety and comfort during flights. Responsibilities include safety demonstrations, serving meals, managing the cabin, handling emergencies, and post-flight reporting. The role demands strong communication skills, a calm demeanour, and a service-oriented attitude. It offers opportunities to travel and work in the dynamic aviation and hospitality industry.

    2 Jobs Available
    Aeronautical Engineer

    An aeronautical engineer designs, develops, tests, and maintains aircraft and related systems. They work on components like engines and wings, ensuring performance, safety, and efficiency. The role involves simulations, flight testing, research, and technological innovation to improve fuel efficiency and reduce noise. Aeronautical engineers collaborate with teams in aerospace companies, government agencies, or research institutions, requiring strong skills in physics, mathematics, and engineering principles.

    2 Jobs Available
    Safety Manager

    A Safety Manager ensures workplace safety by developing policies, conducting training, assessing risks, and ensuring regulatory compliance. They investigate incidents, manage workers’ compensation, and handle emergency responses. Working across industries like construction and healthcare, they combine leadership, communication, and problem-solving skills to protect employees and maintain safe environments.

    2 Jobs Available
    Airline Pilot

    An airline pilot operates aircraft to transport passengers and cargo safely. Responsibilities include pre-flight planning, in-flight operations, team collaboration, and post-flight duties. Pilots work in varying schedules and environments, often with overnight layovers. The demand for airline pilots is expected to grow, driven by retirements and industry expansion. The role requires specialized training and adaptability.

    1 Jobs Available

    Never miss JEE Main update

    Get timely JEE Main updates directly to your inbox. Stay informed!