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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 30 Oct 2024, 01:15 PM IST

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.

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.

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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 2025?
A:

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.

Q: Could you explain the exam pattern for JEE Main 2025?
A:

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.

Q: What types of questions can I anticipate in JEE Main 2025?
A:

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.

Q: Has the NTA modified the syllabus for JEE Main 2025?
A:

Yes, the syllabus for JEE Main 2025 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 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.

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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Have a question related to JEE Main ?
hello. im completing 10th now. and i want to know how can i become an app developer. do i have to give jee mains and adv?

Hello,

No, you don’t have to give JEE Main or Advanced to become an app developer .

Here’s what you can do:

  1. Choose the right stream: After 10th, take the Science stream (PCM) or even Commerce/Arts if you’re confident. Science is preferred but not compulsory.

  2. Learn programming: Start with languages like Java, Python, or Kotlin. You can learn online or join short courses.

  3. After 12th: Do a degree like BCA , B.Sc. (Computer Science) , or B.Tech (CSE/IT) . For B.Tech, some colleges use JEE Main, but many private colleges don’t.

  4. Build skills: Make small apps, do internships, and create a portfolio.

  5. Keep learning: Explore Android, iOS, or cross-platform tools like Flutter or React Native.

In short, JEE is not mandatory . It’s only needed if you want to study B.Tech in top engineering colleges like IITs or NITs. You can become an app developer without JEE by taking other courses and practising on your own.

Hope it helps !

Read Complete Answer
P
Prachi Kumari
20 Sep'25
For Jee mains registration at what time ews certificate make

Hello

For JEE Main registration, your EWS certificate must be issued before the registration deadline.
Ideally, the certificate should be dated after April 1 of the current academic year .
NTA usually mentions the required issue date in the official JEE information bulletin. If your EWS certificate is delayed, you can upload an EWS undertaking temporarily. But you must produce a valid certificate during counseling (JoSAA), or your claim won’t be accepted.
Always get it made from your local Tehsildar/SDO office well in advance to avoid last-minute issues.

Read Complete Answer
S
SEJAL JAIN
19 Sep'25
i paass out class 12% from cbse 2025 in which 70.2% /later on i give improvemeent in english and secured exatly 75% in same tyear july 2025. so how to upload marksheet in jee main and advanced and in josaa counselling

Since you passed Class 12 in 2025 with 70.2% and later improved English in the same year (July 2025) to make it 75% , you have to upload the latest marksheet that shows your improved marks . For JEE Main/Advanced and later JoSAA counselling , NTA and IITs always consider the final result after improvement . During application form filling, you can enter your updated percentage, and at the document upload stage, you should upload:

  • Your original Class 12 marksheet (March/April 2025)

  • Your improvement marksheet (July 2025) showing the revised score

Both documents are important because the improvement marksheet proves your eligibility (75% criteria) while the original shows you passed in the same year. During JoSAA document verification, candidates usually upload both marksheets together in one PDF so that authorities can clearly see the updated percentage.

In short: Use your improved percentage (75%) for eligibility and upload both old + improvement marksheets merged as a single file to avoid confusion.

Read Complete Answer
K
Kashish Gautam
19 Sep'25
How many jee exam centres in Malda district in West Bengal

In Malda district, West Bengal, the JEE Main 2025 exam centre code is WB20. Candidates from the district can choose Malda as their preferred exam centre during registration. The final allotment of centres depends on availability and preferences submitted by students. The exact number of exam halls may vary each year based on the number of applicants. Students should confirm their allotted centre through the official JEE Main admit card.



Read Complete Answer
A
Abhilasha Agrawal
17 Sep'25
JEE mains form ke sath ews lagana chahiye 2026ke liye ews banva ke rakh lena chahiye

Hey

Yes, it is better to get your EWS certificate ready before filling the JEE Main 2026 application . The EWS (Economically Weaker Section) certificate is used to claim reservation benefits during counseling and seat allotment. If you don’t have it while applying, you may miss the reserved quota advantage and may not be able to update it later.

To get it, you need to apply at your local Tehsildar / Revenue office with required income and property documents. Once issued, keep a scanned copy ready because JEE Main application requires uploading it. Having it prepared in advance ensures that during application and JoSAA counseling , you can claim EWS reservation smoothly without delays.

Read Complete Answer
K
Kashish Gautam
19 Sep'25
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