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JEE Main 2023 Answer Key Session 2 (Out), Download Link @jeemain.nta.nic.in, Answer Key Challenge, Response Sheet

Candidates can challenge or raise objections against JEE Main 2023 Answer Key PDF with a payment of INR 200 per challenge. Once all the objections raised are scrutinized, NTA will release JEE Main 2023 Final Answer Key on jeemain.nta.nic.in 2023.

Based on the JEE Main final answer key, you can expect JEE Main 2023 result session 2 by April 24, 2023. Candidates can check their results on the official website jeemain.nta.nic.in using their registration number and password.


JEE Main Answer Key Download

How to Check JEE Main Answer Key 2023 Session 2?

To view and challenge JEE Main Answer Key 2023 Session 2, you need to visit jeemain.nta.nic.in and select the option for ‘JEE Main Answer Key (2023)- Answer Key Challenge’.

NTA provides two login options on JEE Mains Answer Key 2023 NTA Official Website- through application number & password and application number & date of birth.

JEE Main Answer Key 2023

NTA JEE Main 2023 Answer Key Download using Application Number and Password

  • Select the login option through JEE 2023 application number and password.
JEE Main Answer Key 2023 Login
  • In the JEE login window, enter your application number and password.
  • Enter the security pin as shown in the image.
  • Sign in to view/ challenge JEE Main Answer Key 2023

NTA JEE Main 2023 Answer Key Download using Application Number and DOB

  • Select the login option through JEE 2023 application number and date of birth.
NTA JEE Main 2023 Answer Key
  • In the JEE login window, enter your application number and date of birth.
  • Enter the security pin as shown in the security image.
  • Click on ‘Sign in’ to view/ challenge JEE Main Answer Key 2023

JEE Main 2023 Answer Key PDF

JEE Main Answer Key 2023 Session 2

Links to JEE Main Answer Key 2023 Session 2 released by various coaching institutes has been provided below. 


JEE Main Answer Key Date

JEE Main 2023 Answer Key Date

April Session Events Dates
JEE Main 2023 Session 2 Exam Date April 6, 8, 10, 11, 12, 13, 15, 2023
JEE Main 2023 Answer Key Date April 19, 2023 (OUT)
JEE Main 2023 Answer Key Challenge Window April 19 to 21, 2023. (up to 5:00 PM)
JEE Main Final Answer Key 2023 April 24, 2023
JEE Main 2023 Session 2 Result Date By April 24 2023

JEE Main Answer Key Challenge

JEE Main 2023 Answer Key Challenge- How to Raise Objections?

JEE Main 2023 answer key challenge can be made with a payment of INR 200 per obejction. The steps to JEE Main 2023 Answer Key challenge have been mentioned below.

  • Visit JEE Mains Answer Key 2023 NTA official website, jeemain.nta.nic.in 2023 and click on the link for JEE Main Answer Key download.
  • Log in using your application number and password/ DOB.
  • A new window opens, click on the option for ‘Challenge(s) regarding Answer Key’.
  • The Question IDs are displayed in sequential order for each of the three papers (B.E/B.Tech, B.Arch and B.Planning).
JEE Main 2023 Answer Key Challenge
  • In case of an objection, use any one or more of the Option IDs given in the next four columns by clicking the check box.
How to Challenge JEE Main Answer Key
  • Upload the supporting documents by choosing ‘Choose File’ option.
Support Document for Challenging JEE Main Answer Key
  • Save your Claim and move to the next screen which displays the Option IDs that have been challenged.
  • Click on ‘Save your Claim and Pay Fee Finally’.
  • Select the mode of payment of processing fee (INR 200 per challenge)- Debit/Credit Card/Net Banking/Paytm.
  • Once the payment is successful, all the challenges raised are submitted. Candidates must now wait for NTA’s decision on the challenges raised.   

JEE Main Answer Key Score Calculation

Calculate Score Using JEE Main Answer Key 2023

  • Once candidates have viewed JEE Main 2023 answer key and response sheet, they can tally their answers with the ones given in the answer key to calculate the scores.
  • Candidates are awarded 4 marks for every correct answer.
  • Every wrong answer is negatively marked i.e.1 mark is deducted for every wrong answer.
  • If a candidate didn’t attempt a question, that question is not evaluated and the candidate secures zero marks for that particular question.
  • Based on this marking scheme, candidates can calculate and get a rough estimate of the total marks they might be securing in JEE Main 2023.
Total Marks= (4 x Number of Correct Answer) – (1 x Number of Incorrect Answer)

Also Check: JEE Main 2023 Cut off for NITs, IITs, and IIITs. Check Here


NTA JEE Main 2023 Answer Key PDF January Session (Official)

JEE Main Paper JEE Main 2023 Answer Key PDF
Paper 1 (B.E./B.Tech) Check Here
Paper 2 (B.Arch/B.Planning) Check Here

NTA had dropped five MCQs and rectified 2 NATs in JEE Main 2023 Final Answer Key PDF for January Session. Except for 1 question, all the dropped questions were from the Mathematics section. Candidates were not awarded any marks in the 4 dropped questions during the compilation of JEE Main 2023 Session 1 Result.

JEE Main 2023 Dropped Questions Session 1

NTA has dropped 4 questions from the provisional JEE Main answer key 2023. 2 questions have been rectified. The four questions dropped are all MCQs.

JEE Main 2023 Dropped Questions from Final Answer Key

Apart from these 4 MCQs, NTA has also rectified 2 NATs in the provisional answer key. Of the two questions, the NAT from Jan 25 Shift 1 paper had different answers in the English and Hindi version of the papers. 

JEE Main 2023 Rectified Questions in Final Answer Key

JEE Main 2023 Answer Key Session 1 (Unofficial)

You can also download the memory-based JEE Main answer key 2023 with solutions prepared by subject-matter experts using the links provided below to calculate your scores.

JEE Main Answer Key 2023 Session 1 Shift 1

The unofficial JEE Main 2023 answer key PDFs shift 1 Jan 24, 25, 29, 30, 31, Feb 1 are available here for free download.

JEE Main 2023 Exam Date JEE Main 2023 Question Paper with Answer Key
JEE Main 2023 Answer Key Feb 1 Shift 1 Check Here
JEE Main 2023 Answer Key Jan 31 Shift 1 Check Here
JEE Main 2023 Answer Key Jan 30 Shift 1 Check Here
JEE Main 2023 Answer Key Jan 29 Shift 1 Check Here
JEE Main 2023 Answer Key Jan 25 Shift 1 Check Here
JEE Main 2023 Answer Key Jan 24 Shift 1 Check Here

JEE Main Answer Key 2023 Session 1 Shift 2

The unofficial JEE Main 2023 answer key PDFs shift 2 Jan 24, 25, 28, 29, 30, 31, Feb 1 are available here for free download.

JEE Main 2023 January Session Exam Dates JEE Main 2023 Question Paper with Answer Key
JEE Main 2023 Answer Key Feb 1 Shift 2 Check Here
JEE Main 2023 Answer Key Jan 31 Shift 2 Check Here
JEE Main 2023 Answer Key Jan 30 Shift 2 Check Here
JEE Main 2023 Answer Key Jan 29 Shift 2 Check Here
JEE Main 2023 Answer Key Jan 28 Shift 2 Check Here
JEE Main 2023 Answer Key Jan 25 Shift 2 Check Here
JEE Main 2023 Answer Key Jan 24 Shift 2 Check Here

Previous Year JEE Main Answer Key Download

The previous year JEE Main Answer Key PDF download links are available for each exam session. Candidates can download JEE Main Answer Key PDFs along with the question paper for 2022, 2021, 2020 and 2019 from the section below.

JEE Main 2022 Answer Key PDF

JEE Main 2022 Session 1 Answer Key 

NTA released JEE Main 2022 Answer Key for Session 1 on July 2. Four questions across various shifts in JEE Main 2022 Session 1 Question Paper were dropped. Additionally, one question had multiple correct answers. No marks were awarded for these dropped questions.

Paper/ Subject Exam Date Shift/ Slot JEE Main Answer Key
B.E./ B.Tech June 29, 2022 1 Check Here
B.E./ B.Tech June 29, 2022 2 Check Here
B.E./ B.Tech June 28, 2022 1 Check Here
B.E./ B.Tech June 28, 2022 2 Check Here
B.E./ B.Tech June 27, 2022 1 Check Here
B.E./ B.Tech June 27, 2022 2 Check Here
B.E./ B.Tech June 26, 2022 1 Check Here
B.E./ B.Tech June 26, 2022 2 Check Here
B.E./ B.Tech June 25, 2022 1 Check Here
B.E./ B.Tech June 25, 2022 2 Check Here
B.E./ B.Tech June 24, 2022 1 Check Here
B.E./ B.Tech June 24, 2022 2 Check Here

JEE Main 2022 Session 2 Answer Key

Paper/ Subject Exam Date Shift/ Slot JEE Main Answer Key
B.E./B.Tech July 25, 2022 Shift 1 Check Here
B.E./B.Tech July 25, 2022 Shift 2 Check Here
B.E./B.Tech July 26, 2022 Shift 1 Check Here
B.E./B.Tech July 26, 2022 Shift 2 Check Here
B.E./B.Tech July 27, 2022 Shift 1 Check Here
B.E./B.Tech July 27, 2022 Shift 2 Check Here
B.E./B.Tech July 28, 2022 Shift 1 Check Here
B.E./B.Tech July 28, 2022 Shift 2 Check Here
B.E./B.Tech July 29, 2022 Shift 1 Check Here
B.E./B.Tech July 29, 2022 Shift 2 Check Here
B.Arch/ B.Planning July 30, 2022 Shift 1 Check Here
B.Arch/ B.Planning July 30, 2022 Shift 2 Check Here

JEE Main 2021 Answer Key PDF

JEE Main 2021 Answer Key

JEE Main 2021 was conducted in four sessions. The official JEE Main 2021 Answer Key PDF is available for all the sessions in the tables below.

JEE Main 2021 Answer Key Session 4

Paper/ Subject Date Shift/ Slot Question Paper Link Answer Key Link
B.E./ B.Tech August 26 1 Check Here Check Here
B.E./ B.Tech August 26 2 Check Here Check Here
B.E./ B.Tech August 27 1 Check Here Check Here
B.E./ B.Tech August 27 2 Check Here Check Here
B.E./ B.Tech August 31 1 Check Here Check Here
B.E./ B.Tech August 31 2 Check Here Check Here
B.E./ B.Tech September 1 2 Check Here Check Here
B.Arch September 2 1 Check Here Check Here
B.Arch September 2 2 Check Here Check Here
B.Planning September 2 2 Check Here Check Here
B.Arch & B.Planning September 2 2 Check Here Check Here
B.Arch September 9 2 Check Here Check Here
B.Arch & B.Planning September 9 2 Check Here Check Here
B.Planning September 9 2 Check Here Check Here

JEE Main 2021 Answer Key Session 3

Paper/ Subject Date Shift/ Slot Question Paper Link Answer Key Link
B.E./ B.Tech July 20 1 Check Here Check Here
B.E./ B.Tech July 20 2 Check Here Check Here
B.E./ B.Tech July 22 2 Check Here Check Here
B.E./ B.Tech July 25 1 Check Here Check Here
B.E./ B.Tech July 25 2 Check Here Check Here
B.E./ B.Tech July 27 1 Check Here Check Here
B.E./ B.Tech Aug 3 1 Check Here Check Here
B.E./ B.Tech Aug 3 2 Check Here Check Here
B.E./ B.Tech Aug 4 1 Check Here Check Here
B.E./ B.Tech Aug 4 2 Check Here Check Here

JEE Main 2021 Answer Key Session 2

Paper/ Subject Date Shift/ Slot Question paper Link Answer Key Link
B.E./ B.Tech March 16 1 Check Here Check Here
B.E./ B.Tech March 16 2 Check Here Check Here
B.E./ B.Tech March 17 1 Check Here Check Here
B.E./ B.Tech March 17 2 Check Here Check Here
B.E./ B.Tech March 18 1 Check Here Check Here
B.E./ B.Tech March 18 2 Check Here Check Here

JEE Main 2021 Answer Key Session 1

Paper/ Subject Date Shift/ Slot Question Paper Link Answer Key Link
B.Arch & B.Planning February 23, 2021 2 Check Here Check Here
B.Planning February 23, 2021 2 Check Here Check Here
B.Arch February 23, 2021 2 Check Here Check Here
B.E./ B.Tech February 24, 2021 1 Check Here Check Here
B.E./ B.Tech February 24, 2021 2 Check Here Check Here
B.E./ B.Tech February 26, 2021 1 Check Here Check Here
B.E./ B.Tech February 25, 2021 1 Check Here Check Here
B.E./ B.Tech February 26, 2021 2 Check Here Check Here
B.E./ B.Tech February 25, 2021 2 Check Here Check Here

Must Read


JEE Main 2020 Answer Key

JEE Main 2020 Answer Key Session 2

Paper/ Subject Date Shift/ Slot Question Paper Link Answer Key Link
B.Arch September 1 1 Check Here Check Here
B.Arch September 1 2 Check Here Check Here
B.Planning September 1 2 Check Here Check Here
B.Arch & B.Planning September 1 2 Check Here Check Here
B.E./ B.Tech September 2 1 Check Here Check Here
B.E./ B.Tech September 2 2 Check Here Check Here
B.E./ B.Tech September 3 1 Check Here Check Here
B.E./ B.Tech September 3 2 Check Here Check Here
B.E./ B.Tech September 4 1 Check Here Check Here
B.E./ B.Tech September 4 2 Check Here Check Here
B.E./ B.Tech September 5 1 Check Here Check Here
B.E./ B.Tech September 5 2 Check Here Check Here
B.E./ B.Tech September 6 1 Check Here Check Here
B.E./ B.Tech September 6 2 Check Here Check Here

JEE Main 2020 Answer Key Session 1

Paper/ Subject Date Shift/ Slot Question Paper Link Answer Key Link
B.Arch January 6 1 Check Here Check Here
B.Arch January 6 2 Check Here Check Here
B.Planning January 6 2 Check Here Check Here
B.Arch & B.Planning January 6 2 Check Here Check Here
B.E./ B.Tech January 8 1 Check Here Check Here
B.E./ B.Tech January 8 2 Check Here Check Here
B.E./ B.Tech January 9 1 Check Here Check Here
B.E./ B.Tech January 9 2 Check Here Check Here

JEE Main 2019 Answer Key

JEE Main 2019 Answer Key  Session 2

Paper/ Subject Date Shift/ Slot Question Paper Link Answer Key Link
B.Arch April 7 1 Check Here Check Here
B.Arch April 7 2 Check Here Check Here
B.E./ B.Tech April 8 1 Check Here Check Here
B.E./ B.Tech April 8 2 Check Here Available Soon
B.E./ B.Tech April 9 1 Check Here Check Here
B.E./ B.Tech April 9 2 Check Here Check Here
B.E./ B.Tech April 10 1 Check Here Check Here
B.E./ B.Tech April 10 2 Check Here Check Here
B.E./ B.Tech April 12 1 Check Here Check Here
B.E./ B.Tech April 12 2 Check Here Check Here

JEE Main 2019 Answer Key Session 1

Paper/ Subject Date Shift/ Slot Question Paper Link Answer Key Link
B.Arch January 8 2 (a) Check Here Available Soon
B.Arch January 8 2 Check Here Available Soon
B.E./ B.Tech January 9 1 Check Here Check Here
B.E./ B.Tech January 9 2 Check Here Check Here
B.E./ B.Tech January 10 1 Check Here Check Here
B.E./ B.Tech January 10 1 Check Here Check Here
B.E./ B.Tech January 11 1 Check Here Check Here
B.E./ B.Tech January 11 2 Check Here Check Here
B.E./ B.Tech January 12 1 Check Here Check Here
B.E./ B.Tech January 12 2 Check Here Check Here

JEE Main Marks vs Percentile

JEE Main 2023 Marks vs Percentile vs Rank

After the calculation of their JEE Main 2023 score, candidates can further find their estimated rank range using the data tabulated below. These can help candidates predict their admission chances at NITs and IIITs. Here’s an expected JEE Main 2023 Marks Vs Rank range estimate for the 2023 session based on the January Session attempt:

JEE Main Marks JEE Main %ile JEE Main Rank JEE Main Marks JEE Main %ile JEE Main Rank
222-258 99.99 64 125-155 98 16500
208-241 99.9 987 119-149 97.5 22800
196-231 99.8 1887 114-142 97 26927
190-228 99.7 2800 109-136 96.5 31478
174-217 99.6 3674 103-130 96 36042
170-210 99.5 4613 98-125 95.5 40000
165-205 99.4 5492 90-120 95 47940
161-200 99.3 6412 84-114 94 53467
158-196 99.2 7347 80-108 93 62920
155-192 99.1 8211 78-102 92 71958
146-171 99 8230 74-95 91 80841
132-166 98.5 13735 70-84 90 90061

JEE Main College Predictor

JEE Main 2023 College Predictor 

With the help of your rank and using the previous year cut off records of colleges all over India, Collegedunia’s JEE Main 2023 college predictor provides you a list of colleges that might be willing to take you based on your expected score. You can narrow down your results for available colleges using various filters available. Candidates can find out their chances of making it to premium institutes like NITs, IIITs and CFTIs using JEE Main College Predictor. 

  • By clicking on the available colleges, you can get all the related information like fees, placement reviews and cut off.
  • You can always improve your performance based on your personalized report with predicted colleges in JoSSA and state-level counsellings. 
  • JEE Main 2023 College Predictor can be highly useful in curbing down the confusion of the candidates regarding their ranks and colleges. 
JEE Main College Predictor 2022
Colleges Accepting JEE Main 2023 Scores

Frequently Asked Questions

JEE Main 2023 Answer Key FAQs

Ques. What is JEE Main 2023 Answer Key release date?

Ans. JEE Main 2023 answer key session 2 date is April 14, 2023 (expected). Candidates can download JEE Main 2023 Answer Key for Session 2 from the official website- jeemain.nta.ac.in.


Ques. How can I download JEE Main 2023 Answer Key?

Ans. Candidates can visit JEE Mains answer key 2023 NTA official website to download PDF. Steps to download JEE Main 2023 answer key PDF have been mentioned below-

  • Visit the official website and click on the link for JEE answer key download (the link has also been attached in the article above).
  • Enter the required credentials to log in. These credentials include your Application Number and Password/ DOB.
  • Check the right session and date of the exam on the Answer Key.
  • The answer key can be downloaded as a PDF file.

The final JEE Main 2023 Answer Key links are also updated here after their release. Candidates can use the direct links provided by Collegedunia in the article above to access shift-wise JEE Main 2023 Answer Key.


Ques. Is the fee for challenging JEE Main 2023 answer key refundable?

Ans. The processing fee of INR 200 paid against each challenge submitted against the provisional JEE Main 2023 Answer Key is non-refundable.


Ques. Will I be informed if NTA accepts my JEE Main answer key challenge?

Ans. No, NTA does not inform individual candidates of the acceptance/non-acceptance of their challenges.


Ques. What happens if NTA accepts my challenge against JEE Main Answer Key?

Ans. If the challenge raised is found to be correct, JEE Main Answer Key is revised and the changes are applied in the responses for all the candidates who have attempted the question. JEE Main Answer Key finalized by the experts after the challenge is final. NTA uses the final answer key to compile JEE Main Result.


Ques. What if the claim/objection against JEE Main 2023 Answer Key is not accepted by NTA, what can be the next course of action then?

Ans. In any case, the decision of NTA is considered final, no further communication is entertained thereafter. The final JEE Main 2023 Answer Key released by NTA is used to calculate the candidate’s score in the exam.


Ques. What is JEE Main 2023 Response Sheet?

Ans. JEE Main 2023 Response Sheet is the online copy of the candidates’ responses in JEE exam. Candidates can access their JEE Main Answer Key and responses online using their application number and DOB.


Ques. When will the final JEE Main 2023 Answer Key be released?

Ans. The final JEE Main 2023 Answer Key is released within a week of the conclusion of the exam on the official website. These final answer keys are released after the objections raised have been reviewed. Candidates must note that the final answer key released acts as the final version and no further grievances are accepted. NTA published JEE Main Result based on these final answer keys. JEE Main 2023 Final Answer Key PDF for Session 2 is expected to be out on April 18, 2023 (expected).


Ques. How to calculate marks using JEE Main 2023 Answer Key?

Ans. To calculate scores using JEE Main 2023 Answer Key candidates need to refer to the marking scheme of the exam. Candidates can use the simple formula mentioned below to calculate their scores. Along with the formula JEE Main Marking Scheme has also been mentioned below.

Total Marks= (4 x Number of Correct Answer) – (1 x Number of Incorrect Answer)

JEE Main Marking Scheme

Type of Response Marking Scheme
Correct response Four marks awarded
Incorrect response One mark deducted
No answer No marks

*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.

JEE Main 2023 : 51 answered questions

View All

Ques. My friend has got 77K AIR in JEE Main. He wanted to know if he should go for GNDU Amritsar or GNE Ludhiana?

● Top Answer By Sagardeep on 02 Mar 23

You are considering pursuing either mechanical engineering or electrical engineering. We highly recommend you consider GNE Ludhiana. The Amritsar Campus of GNDU only offers three B.Tech streams: Computer Science, Electronics and Communication, and Urban Planning. However, the mechanical and civil engineering streams are available at the regional campus of Sathiala and were established in the 2014 batch. The faculty for Computer Science and Electronics at GNDU is exceptional. However, it is important for you to research placement statistics and other relevant information before making a final decision. If your rank is 77k, there may be a slight chance for you to get into mechanical engineering at GNE. However, there is an option for you to change streams after one year if there are any vacant seats in your preferred department....Read more

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Ques. Which is better: JEE or BITSAT?

● Top Answer By Tanvi Jaipuriar on 27 Feb 23

Comparing competitive exams or choosing one over the other is a very illogical thing to do. The entire agenda behind a competitive exam is to build your knowledge and test you on the basis of the same. So unless you defer from gaining the right set of knowledge, any competitive exam will bear the same result. I have a very effective technique to tackle this issue. Prepare in such a way that you are appearing for JEE Advanced. This is because the course and structure of Advanced are such that once you are ready to clear that, you can clear every other exam too. This means your focus will not be divided and all you can do is focus on one exam. Keep focusing on the preparation for JEE Advanced and when your BITSAT is around the corner start solving mock tests to improve your speed. Prepare additionally for English and Logical Reasoning questions. BITSAT focuses more on your speed than the clarity of your concepts. So a mere preparation of 3 months before BITSAT is more than enough provided that your concepts are clear from JEE Advanced preparation. So instead of choosing one single exam, prepare for JEE Advanced and target both as the future is unpredictable. ...Read more

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Ques. How can I score 250 in JEE Mains?

● Top Answer By Juhi Gupta on 16 Feb 23

A score of 250 out of 360 in Mains is difficult but not impossible. Your performance depends on your capacity to grasp concepts and your former knowledge. For some, it might be a cakewalk while for some it might be an unattainable number despite the relentless effort. The syllabus is elaborate so one should have a lot of time to prepare. If you are serious about scoring 250 follow the simple tips I have mentioned below Aim for a score that is higher than 250 and then only after tremendous efforts will you be able to touch the 250 mark. Choose a wise mentor who will guide you throughout your exam preparation. Continuous revision will do wonders for your preparation. Even if you are confident in a certain topic, keep revising so that the flow is not broken. Work on your weaknesses rather than ignoring them. My friend had joined the Filo-app. One-to-one sessions with tutors helped her a lot in making her understand and practice Math concepts. Take mock tests regularly, about once or twice a week. This helps you identify the areas you need to work on and prepares you well. Lastly, you need to stay optimistic as this journey you have embarked on is tough and requires a lot of determination and motivation. Take care of your health, both physical and mental....Read more

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Ques. What are the minimum marks required for JEE Main to get into an NIT?

● Top Answer By Vedant Mishra on 22 Apr 22

You need to have a higher rank if you want a decent NIT and a good branch. Here is an estimated list of cutoffs for a few reputed NITs.  Institute  Estimated Cutoff (General category) NIT Warangal 1000 - 7000 NIT Trichy  500 - 5000 NIT Surathkal  300-5000 NIT Jaipur  1200-8000 NIT Allahabad  500-10000 These are approximate opening and closing ranks and the cutoff for these institutes varies each year. ...Read more

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Ques. Is NCERT sufficient for the JEE mains chemistry?

● Top Answer By Adrija Mukharjee on 25 Apr 22

NCERT books can help a lot to prepare for JEE Mains Chemistry. But it is not sufficient.  Inorganic Chemistry is the most scoring part. And for this section, NCERT books are a must. In past years there were questions directly from NCERT. But read your class notes and textbooks as well.  For Physical and Inorganic Chemistry, NCERT isn’t enough. You need to practice a lot, in order to have a good command of these sections. For these sections, go through the NCERT, make notes for important sections and solve practice series. ...Read more

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