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JEE Main 2021 Question Paper PDF with Solutions

JEE Main 2021 Question Paper PDF with Solutions

#JEE Main
Avinash DongreUpdated on 11 Oct 2025, 01:42 PM IST

JEE Main 2021 Question Paper: Candidates can check the JEE Main 2021 question paper with solution pdf download link here. The JEE Main question paper PDF 2021 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 four sessions in 2021. 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 in this article. Due to COVID pandemic, the JEE Main 2021 paper was conducted in four sessions (i.e. February, March, July, and August).

LiveJEE Main 2026 Registration LIVE: Session 1 application form correction from December 1; apply by Nov 27Nov 23, 2025 | 12:48 PM IST

The last three years' JEE Main closing ranks at NIT Surathkal is as follows,

BTech courses

Home State/ Open State

Gender

Closing JEE Main rank 2025

Closing JEE Main rank 2024

Closing JEE Main rank 2023

4-year BTech Artificial Intelligence

HS

Gender-Neutral

3579

3717

5631

HS

Female-only (including Supernumerary)

10004

6233

6468

OS

Gender-Neutral

2650

2594

2973

OS

Female-only (including Supernumerary)

3987

4354

4161

4-year BTech Chemical Engineering

HS

Gender-Neutral

18581

19080

22754

HS

Female-only (including Supernumerary)

25773

22991

27910

OS

Gender-Neutral

13477

15195

16357

OS

Female-only (including Supernumerary)

21464

21059

20604

4-year BTech Civil Engineering

HS

Gender-Neutral

28252

32691

38203

HS

Female-only (including Supernumerary)

41388

39258

50297

OS

Gender-Neutral

22901

22939

23632

OS

Female-only (including Supernumerary)

34014

31390

33071

4-year BTech Computational and Data Science

HS

Gender-Neutral

4805

4786

6155

HS

Female-only (including Supernumerary)

6453

7008

8856

OS

Gender-Neutral

3471

3348

3922

OS

Female-only (including Supernumerary)

5131

4443

5501

4-year BTech Computer Science and Engineering

HS

Gender-Neutral

2800

2933

3406

HS

Female-only (including Supernumerary)

5752

3358

4267

OS

Gender-Neutral

1827

1615

1984

OS

Female-only (including Supernumerary)

3986

2433

3298

4-year BTech Electrical and Electronics Engineering

HS

Gender-Neutral

7493

7809

9789

HS

Female-only (including Supernumerary)

13968

11553

11408

OS

Gender-Neutral

6872

7132

8437

OS

Female-only (including Supernumerary)

11234

10912

12192

4-year BTech Electronics and Communication Engineering

HS

Gender-Neutral

5573

5662

7219

HS

Female-only (including Supernumerary)

9286

7934

7007

OS

Gender-Neutral

4347

4227

5596

OS

Female-only (including Supernumerary)

7008

7035

7336

4-year BTech Information Technology

HS

Gender-Neutral

4086

4452

5616

HS

Female-only (including Supernumerary)

7056

5617

4969

OS

Gender-Neutral

3160

2944

3403

OS

Female-only (including Supernumerary)

6735

4876

5473

4-year BTech Mechanical Engineering

HS

Gender-Neutral

12126

14011

16814

HS

Female-only (including Supernumerary)

24186

27829

27421

OS

Gender-Neutral

11950

12380

14069

OS

Female-only (including Supernumerary)

20174

22425

21223

4-year BTech Metallurgical and Materials Engineering

HS

Gender-Neutral

24264

26584

32230

HS

Female-only (including Supernumerary)

39535

32742

43291

OS

Gender-Neutral

22965

23412

25127

OS

Female-only (including Supernumerary)

29213

35840

34865

4-year BTech Mining Engineering

HS

Gender-Neutral

39455

41318

46155

HS

Female-only (including Supernumerary)

46883

60709

57689

OS

Gender-Neutral

28750

27766

30068

OS

Female-only (including Supernumerary)

50279

48048


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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

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.

Recommended eBooks

Related eBooks & Sample Papers

JEE Main 2026 Paper 2 (B.Arch) Syllabus

2143+ Downloads

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).

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.

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On Question asked by student community

Have a question related to JEE Main ?
I'm having obc ncl issued on june 2024, with validity 3 years. but in jee mains, i heard it should be issued after 1apr 2025.will it be any issue? Also aadhar is not updated completely, as it had mistake in name& DOB both. I have made update request, will be done by dec end.please help on this.

Hey there,

Your OBC-NCL certificate will not be valid for the JEE Mains 2026 application as it is from June 2024. You can apply for a new one as soon as possible. For the JEE Mains, the OBC-NCL certificate should be issued on or after 1 April 2025.

And as for your Aadhar, the mistakes in your name and Date of Birth will be an issue during the document verification process. The details should match your 10th-class certificate. So you will also need to update it as soon as possible.

Hope it helps!!!

Read Complete Answer
A
Aahana Rawat
21 Nov'25
IN Bihar there is no tehsildar in my block i made my ews certificate signed by revenue officer(circle officer ) is this ews certificate valid while filling the registration of jee mains form 2026 also is it valid for josaa councelling its format is same like central but in heding written bihar govt

Hello Satyam,

Yes, your EWS certificate is valid.

In Bihar, the EWS certificate can be issued by the Circle Officer, BDO, SDO, or DM. So a certificate signed by the Circle Officer (Revenue Officer) is acceptable.

If the format of your certificate is the same as the Central Government EWS format, then it is valid for JEE Main registration and also for JoSAA counselling. The heading “Government of Bihar” does not create any problem.

Just remember one point:
For JoSAA 2026 , you will need an EWS certificate issued on or after 1 April 2025. Even if your current certificate works for registration, you must update it before counselling.

Hope it helps !

Read Complete Answer
P
Prachi Kumari
21 Nov'25
I am a Doctor but currently jobless, can my son claim OBC NCL for IIT JEE?

Hello murali

No, your son is not eligible for OBC NCL for IIT JEE because you fall in the "creamy layer" occupational category, regardless of your current employment status or family income. Students whose family income is less than Rs. 8 lakhs annually and they are not belong to the "creamy layer".

Note -

  • Children of professionals like doctors, lawyers, and engineers, as well as government officials in Group A and Group B services, are generally considered in the "Creamy layer" category.
  • Your current unemployment does not change your occupational status. The eligibility is based on your profession, not your current job status.

Thank You

Read Complete Answer
D
Dhruv Sharma
20 Nov'25
I am doing my 12 as private candidate now want to fill the form of jee main what should be the school name and what should be the school pin code be write on application form

Hello,

You can fill the JEE Main form even if you are a private candidate

Write the name of the school/board from where you are appearing as a private candidate .
If your Class 12 admit card or registration slip shows a school/centre name, use that exactly.

If your board lists you as a “Private Candidate” under the board name , then write:

CBSE – Private Candidate
(or your board name – Private Candidate)

Use the pin code of the examination centre/school mentioned on your Class 12 private candidate admit card or registration details.

If your board does not give any school address and only shows the regional office address, then use the regional office address pin code given by your board.

Hope it helps !

Read Complete Answer
P
Prachi Kumari
20 Nov'25
Hello everyone , I have a quick question regarding JEE Main Registration. I am currently in the process of applying for OBC NCL and i dont have certificate id or tracking id yet. Can i still slecet category as OBC NCL and leave the application nbr blank and produce cert later during counselling

Hello Aspirant

You should not leave the OBC-NCL certificate ID blank in the JEE Main form it can create problems later.

NTA wants the certificate details while filling the form, not just at counselling. If you can, apply for the OBC-NCL certificate immediately so you get the ID on time.

If you fail to submit the certificate during counselling, your category will shift to General. It’s safer to enter OBC-NCL only if you’re sure you’ll get the certificate before counselling.

Hope it will help you

Read Complete Answer
S
SEJAL JAIN
20 Nov'25
View all

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