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

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.

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

JEE Main 2021 Question Paper PDF by Resonance

JEE Main 2021 Question Paper PDF by Reliable Kota

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 ?

You can get solutions to JEE Main previous year question papers on a number of online portals. Below you will find a few authentic links:

1. NTA Official Website:

The NTA does not provide question papers along with solutions, but this is where the official notifications and sample papers would be useful for an understanding of the pattern and the difficulty level of the exam.

2. Coaching Institute Websites:

Reputed coaching institutes like FIITJEE, Aakash Institute, Resonance, and Allen often provide previous year question papers with solutions on their websites or mobile apps.


How to Make Effective Use of Last Year's Papers:
Know the Pattern of the Questions: Analyze in which topics questions are frequently asked and at what level questions have difficulty.
Time Management: Pray daily to solve papers in a given time frame to enhance your speed and accuracy. Identify Weak Areas: Analyze your mistakes to identify areas for improvement. Seek Clarification: You will have doubts on some question or solution, so you must discuss with teachers or mentors.
Regular Practice: Regular practice is the key to mastering concepts and getting better at solving problems.
These tips will help along with the available resources in proper preparation for the JEE Main exam. https://engineering.careers360.com/articles/jee-main-sample-papers

For admission through JEE Main to a college in Maharashtra state under SC category, one needs to keep several eligibility criteria in mind. A caste certificate is required; this too needs to be authentic.


Here's what you should know:


Caste Certificate:


Validity: It must be valid for the academic year for which you are applying.

Issuing Authority: In Karnataka, it must be issued by the competent authority.

Domicile Certificate:


Not Compulsory for SC Category: Sometimes, a domicile certificate may be needed during the application process for the state quota seats; however, it is often not necessary when applying to engineering colleges under the SC category, especially when applying through the JEE Main All India Quota.

Admission Procedure :


JEE Main Score will decide the candidature for admission into various Maharashtra Engineering Colleges.

Counseling Process: The process of centralized counseling is done by state government for entry into any engineering colleges in Maharashtra.

Document Verification: You have to appear for counseling process and submit caste certificate, etc., for verification.

Important Considerations:


State-Wise Specific Rules: Check out the latest information about the specific rules and regulations available in Maharashtra State Common Entrance Test Cell (CET Cell) regarding an admission.

Consult with Authorities: In case you have any queries or doubts, you may contact the CET Cell or the admissions office of the college you have chosen.

Though a domicile certificate issued by Karnataka is not required for the SC category students submitting admission applications through the All India Quota under JEE Main, the best starting point for knowing information is meeting the concerned authorities.

As the NTA has announced the jee mains exam schedule, for session 1 jee exam. Would be conducted in January and for session 2 in April. In last few days, candidates try to solve many mack tests and previous year question papers to boost their performance and time to solve questions. If last 10 years question papers can be find at one place ,it greatly help the aspirants in preparation. You can get last 10 years question papers by simply click to JEE mains last 10 years papers .

Hello Kavya,

Here is an overview of your problem, and its solution :-

  1. Filling NEET Form

    • Eligibility : NEET requires you to have passed 12th with Physics, Chemistry, and Biology/Biotechnology from a recognized board. Your CBSE 12th result is sufficient.
    • Details to Fill : Use your CBSE 12th details for NEET application. Do not mention your UP Board private attempt at math if you're dropping it.
  2. Filling JEE Form

    • Eligibility : JEE requires Physics, Chemistry, and Mathematics in 12th. If you're dropping the UP Board Math exam, you won't meet this criterion, and applying for JEE won't be valid.
  3. Impact of Dropping UP Board Math

    • It won't affect your CBSE 12th result or eligibility for NEET because they're independent. Dropping the math exam simply means you won't qualify for math-related entrances like JEE.
  4. Simplify Your Decision

    • Focus on NEET if you're inclined towards medicine or biology-related fields.
    • Avoid confusion by leaving the UP Board math attempt officially incomplete; it won't interfere with your CBSE credentials.

Conclusion : Drop the math attempt without worry and focus on NEET preparation using your CBSE bio stream qualifications.

To know more about NEET and JEE for filling, visit :

1. How to fill NEET application form

2. How to fill JEE application form

Hope it helps !

Yes, you are eligible for JEE Advanced 2025.

According to the Eligibility Criteria of the JEE Advanced 2025 , appearing in the JEE Advanced examination is permissible if the candidate is taking the Class 12 (or an equivalent) board examination for the first time, in the year 2024 or 2025.

Now that you are appearing in Class 12 board exams of 2025 because of your health condition, you fulfill the eligibility criteria.

But, it is very important to confirm that your 12th board marks should be told prior to the JEE Advanced 2025 registration cutoff date.


Best of luck for your exams and recovery!

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