JEE Main 2021 Question Paper PDF with Solutions

JEE Main 2021 Question Paper PDF with Solutions

Edited By Avinash Dongre | Updated on Oct 30, 2024 01:15 PM IST | #JEE Main
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JEE Main 2021 Question Paper: Candidates preparing for the Joint Entrance Examination 2025 can practise the JEE Main 2021 question paper with solution pdf download. The JEE Main question papers and solutions are available for various sessions, including JEE Main previous question papers covering both shift 1 and shift 2. JEE Main 2021 question papers serve as the best material for candidates who have taken the exam, allowing them to assess their performance, estimate their scores, and tentatively gauge their ranks. The authority conducted the JEE Main exam in two sessions. The link for JEE Main question paper 2021 pdf download is provided on this page. The JEE Main 2021 paper was conducted in four sessions (i.e. February, March, July, and August) while The JEE Main 2019,2020,2022,2023,2024 papers were conducted in 2 sessions.

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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

Aspirants can find the link for the JEE Mains Question Paper 2021 pdf download for all shift question paper pdf with solutions pdf below.

As you can see a total number of 2340 questions are there for practice for candidates which will ultimately be very helpful to understand the JEE main 2025 exam pattern, question types, questions difficulty level etc. Also since the number of questions are very large here so candidates will have access to questions from nearly all the chapters from Physics, Maths and Chemistry subjects.

JEE Main 2021 Question Paper PDF With Solutions July Session

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JEE Main Question Paper 2021

The IIT Question Paper 2021, accessible on this page, is designed for both sessions. Additionally, candidates can access the JEE Main answer key for the question papers provided here. Utilising the JEE Main question paper with solutions, candidates can cross-check their responses following their attempts.

For aspirants gearing up for future exams, the JEE Mains 2021 question paper with solutions pdf offers a valuable window into the exam's format, level of difficulty, and the types of questions typically encountered. Subject matter experts have meticulously provided detailed explanations for each JEE Main 2021 question paper, enhancing their educational value.

The accessibility of JEE Main 2021 Question Paper Solutions in PDF format ensures that these materials are readily available and free to JEE Main 2021 all paper downloads, making them a potent resource for the efficient exam readiness. In essence, JEE Main 2021 Question Paper pdf downloads are indispensable assets for both current and future JEE aspirants, providing them with the necessary tools to excel in this fiercely competitive examination.

For effective preparation for the JEE Main examination, it's imperative for aspirants to thoroughly acquaint themselves with the JEE Main syllabus and exam structure. In addition to studying previous years' JEE Main question papers, candidates are encouraged to seek out the wisdom shared by successful JEE Main toppers and experienced educators. 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.

JEE Main Sample Paper PDF

Aspirants preparing for the IIT JEE Main examination are encouraged to practise with sample papers. Engaging with JEE Main sample papers enables candidates to gain insights into the question formats commonly featured in the exam. These sample questions are meticulously crafted to align with the official exam syllabus. You can access the JEE Main sample paper in PDF format via the provided link.

JEE Main Sample Paper

Benefits of Solving JEE Main Question Papers 2021

There are some significant benefits of solving JEE Main 2021 question papers. Here we have mentioned a few of them.

  • Clarity on Question Types: Solving JEE Main 2021 question papers helps students understand the variety and difficulty of questions in the exam.

  • Exam Pattern Familiarity: Going through JEE 2021 papers makes students acquainted with the JEE Main exam pattern and marking scheme.

  • Knowledge Assessment: It serves as a tool to assess their knowledge and readiness for the exam.

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

  • Real-time Experience: provides a real-time feel of the exam environment.

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

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

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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

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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).

Frequently Asked Questions (FAQs)

1. What is the mode of examination for JEE Main 2025?

JEE Main 2025 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.

2. Could you explain the exam pattern for JEE Main 2025?

The exam pattern for JEE Main 2025 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.

3. What types of questions can I anticipate in JEE Main 2025?

JEE Main 2025 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.

4. Has the NTA modified the syllabus for JEE Main 2025?

Yes, the syllabus for JEE Main 2025 has changed from the previous year.

5. In what languages is the JEE Main question paper available?

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

6. Do I need to attempt all the questions in each section of the JEE Main?

Yes, all the questions in 2025 are compulsory. For each subject, In Section A candidates can attempt all 20 questions and in Section B candidates also attempt all 5 questions.

7. What are the advantages of practising previous years' JEE Main question papers?

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.

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Questions related to JEE Main

Have a question related to JEE Main ?

With a 79.57 percentile in JEE Mains 2025 under the SC category, your chances of getting into a top NIT or IIIT are relatively low. Typically, you'd need a percentile score of at least 90-92 to have decent chances of getting into an NIT or IIIT.


However, there are some NITs and IIITs that may consider your score. Here are a few examples:


- NIT Mizoram: Civil Engineering (closing rank around 8376 in the SC category)

- NIT Nagaland: Electronics and Instrumentation Engineering (closing rank around 8641 in the SC category)

- NIT Agartala*l: Production Engineering (closing rank around 9207 in the SC category)


Keep in mind that these cutoffs are based on previous years' data and may vary for the 2025 session.To get a better idea of your chances, I recommend using a JEE Main college predictor tool.


Additionally, you may also consider private engineering colleges that accept JEE Main scores. Some examples include:


- Bengal College of Engineering and Technology, Durgapur

- Aditya College of Technology and Science, Satna

- Oriental College of Technology, Bhopal

Yes, as a JEE aspirant, you can fill up the HSC Form No. 17 to appear for the 12th exam in 2026 as a private candidate, provided your state board allows it. Key points to remember:

  • Form 17 is for private candidates:

This form is specifically designed for students who want to appear for the HSC exam privately, not attending a regular college.

  • Eligibility check:

Ensure you meet the eligibility criteria set by your state board regarding age and previous academic qualifications to appear as a private candidate.

  • Impact on JEE:

Filling the Form 17 will not affect your eligibility for the JEE exam as long as you are appearing for the 12th standard examination recognized by the JEE authorities in 2026.

  • Check deadlines:

Be aware of the deadlines for submitting the Form 17 as they vary depending on your state board.

hi ,

YES , a duplicate mark sheet issued by CBSE is valid for the document verification for JEE main registration , provided it has to be duly verified by the CBSE .

the duplicate mark sheet is valid only when it has the following points .

  • it must have official CBSE issuance .
  • it should have official CBSE stamp and signature for authenticity .
  • as jee requires scanned  copies ensure that document is clear and legible

hope this helps

hi. ,

the G. Narayanamma Institute of Technology and Science (GNITS)  in Hyderabad primarily admits students through TS EAMCET . however for category B seats GNITS also consider JEE mains examination .

to enhance your chances to get admission aim for 90 or above percentile .

hope this helps

Hello,

Here is an overview :-

  • UGEE SUPR Section: The SUPR (Subject Proficiency) section tests conceptual understanding. While BITSAT-style questions (speed and accuracy-based) help, you must also focus on JEE Advanced-level conceptual problems, as UGEE questions are deeper.

  • UGEE Hope: An 85 percentile in JEE Main is not ideal, but UGEE focuses on understanding rather than just speed. If you improve problem-solving, logic, and reasoning , you have a good chance.

  • Preparation Strategy: Revise JEE concepts thoroughly, solve Olympiad, JEE Advanced, and past UGEE questions for best results.

  • Interview Round: UGEE includes an interview. Strengthen your fundamentals and communication for success.

Hope you find it useful !

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