JEE Main Question Paper 2021 (Available): Check Previous Year Question Paper with Solution PDF (2024-2014)

Content Curator | Updated On - Jun 25, 2024

JEE Main 2021 Question Paper with Solution PDFs are available for download for the four sessions are available in 13 languages including English, Hindi and Urdu. Aspirants preparing for JEE Main can download and practice language-wise previous years’ papers as well for free from the sections below.

Also Check:

JEE Main Admit Card 2024	JEE Main Question Paper 2024
JEE Main Cutoff	JEE Main Marks vs Rank

JEE Main 2021 Question Papers with Solution PDFs- Session 4 (May/ August)

Paper/ Subject	Exam Date	Shift/ Slot	Question Paper with Solution
B.E./ B.Tech	Aug 26, 2021	1	Check Here
B.E./ B.Tech	Aug 26, 2021	2	Check Here
B.E./ B.Tech	Aug 27, 2021	1	Check Here
B.E./ B.Tech	Aug 27, 2021	2	Check Here
B.E./ B.Tech	Aug 31, 2021	1	Check Here
B.E./ B.Tech	Aug 31, 2021	2	Check Here
B.E./ B.Tech	Sept 1, 2021	2	Check Here
B.Arch	Sept 2, 2021	1	Check Here
B.Arch	Sept 2, 2021	2	Check Here
B.Planning	Sept 2, 2021	2	Check Here
B.Arch & B.Planning	Sept 2, 2021	2	Check Here
B.Arch	Sept 9, 2021	2	Check Here
B.Arch & B.Planning	Sept 9, 2021	2	Check Here
B.Planning	Sept 9, 2021	2	Check Here

JEE Main 2021 Question Papers with Solution PDFs- Session 3 (April/ July)

Paper/ Subject	Exam Date	Shift/ Slot	Question Paper with Solution
B.E./ B.Tech	July 20, 2021	1	Check Here
B.E./ B.Tech	July 20, 2021	2	Check Here
B.E./ B.Tech	July 22, 2021	2	Check Here
B.E./ B.Tech	July 25, 2021	1	Check Here
B.E./ B.Tech	July 25, 2021	2	Check Here
B.E./ B.Tech	July 27, 2021	1	Check Here
B.E./ B.Tech	Aug 3, 2021	1	Check Here
B.E./ B.Tech	Aug 3, 2021	2	Check Here
B.E./ B.Tech	Aug 4, 2021	1	Check Here
B.E./ B.Tech	Aug 4, 2021	2	Check Here

JEE Main 2021 Question Papers with Solution PDFs- Session 2 (March)

Paper/ Subject	Exam Date	Shift/ Slot	Question Paper with Solution
B.E./ B.Tech	March 16, 2021	1	Check Here
B.E./ B.Tech	March 16, 2021	2	Check Here
B.E./ B.Tech	March 17, 2021	1	Check Here
B.E./ B.Tech	March 17, 2021	2	Check Here
B.E./ B.Tech	March 18, 2021	1	Check Here
B.E./ B.Tech	March 18, 2021	2	Check Here

JEE Main 2021 Question Papers with Solution PDFs- Session 1 (February)

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

Also Check:

JEE Main B.Arch and B.Planning Question Papers	JEE Main Physics Question Papers	JEE Main Chemistry Question Papers	JEE Main Maths Question Papers

JEE Main 2021 Language-wise Question Papers

NTA conducted JEE Main 2021 in 13 different languages including English, Hindi, Urdu, Assamese, Bengali, Gujrati, Kannada, Malayalam, Marathi, Odia, Punjabi, Tamil and Telugu.
Candidates who plan to sit for JEE Main 2022 for B.E./B.Tech, B.Arch and B.Planning in one of the regional languages can download JEE Main Language-wise Question Papers from the section below-

JEE Main 2021 Question Papers in Hindi- Download PDFs Here

Paper/ Subject	Exam Date	Slot/ Session	Question Paper Link
B.E./ B.Tech	July 20	2	Check Here
B.E./ B.Tech	July 27	1	Check Here
B.E./ B.Tech	March 16	1	Check Here
B.E./ B.Tech	March 16	2	Check Here
B.E./ B.Tech	March 17	1	Check Here
B.E./ B.Tech	March 17	2	Check Here
B.E./ B.Tech	March 18	1	Check Here
B.E./ B.Tech	March 18	2	Check Here
B.Arch & B.Planning	February 23	2	Check Here
B.Planning	February 23	2	Check Here
B.Arch	February 23	2	Check Here
B.E./ B.Tech	February 24	1	Check Here
B.E./ B.Tech	February 24	2	Check Here
B.E./ B.Tech	February 26	1	Check Here
B.E./ B.Tech	February 26	2	Check Here
B.E./ B.Tech	February 25	1	Check Here
B.E./ B.Tech	February 25	2	Check Here

JEE Main 2021 Question Papers in Bengali- Download PDFs Here

Paper/ Subject	Language	Exam Date	Slot/ Session	Question Paper Link
B.E./ B.Tech	Bengali	July 20	2	Check Here
B.E./ B.Tech	Bengali	July 27	1	Check Here
B.E./ B.Tech	Bengali	March 16	1	Check Here
B.E./ B.Tech	Bengali	March 16	2	Check Here
B.E./ B.Tech	Bengali	March 17	1	Check Here
B.E./ B.Tech	Bengali	March 17	2	Check Here
B.E./ B.Tech	Bengali	March 18	1	Check Here
B.E./ B.Tech	Bengali	March 18	2	Check Here
B.Arch & B.Planning	Bengali	February 23	2	Check Here
B.Planning	Bengali	February 23	2	Check Here
B.Arch	Bengali	February 23	2	Check Here
B.E./ B.Tech	Bengali	February 24	1	Check Here
B.E./ B.Tech	Bengali	February 24	2	Check Here
B.E./ B.Tech	Bengali	February 26	1	Check Here
B.E./ B.Tech	Bengali	February 25	1	Check Here
B.E./ B.Tech	Bengali	February 26	2	Check Here
B.E./ B.Tech	Bengali	February 25	2	Check Here

JEE Main 2021 Question Papers in Gujarati- Download PDFs Here

Paper/ Subject	Exam Date	Slot/ Session	Question Paper Link
B.E./ B.Tech	July 20	2	Check Here
B.E./ B.Tech	July 27	1	Check Here
B.E./ B.Tech	March 16	1	Check Here
B.E./ B.Tech	March 16	2	Check Here
B.E./ B.Tech	March 17	1	Check Here
B.E./ B.Tech	March 17	2	Check Here
B.E./ B.Tech	March 18	1	Check Here
B.E./ B.Tech	March 18	2	Check Here
B.Arch & B.Planning	February 23	2	Check Here
B.Planning	February 23	2	Check Here
B.Arch	February 23	2	Check Here
B.E./ B.Tech	February 24	1	Check Here
B.E./ B.Tech	February 24	2	Check Here
B.E./ B.Tech	February 26	1	Check Here
B.E./ B.Tech	February 25	1	Check Here
B.E./ B.Tech	February 26	2	Check Here
B.E./ B.Tech	February 25	2	Check Here

JEE Main 2021 Question Papers in Tamil- Download PDFs Here

Paper/ Subject	Exam Date	Slot/ Session	Question Paper Link
B.E./ B.Tech	July 20	2	Check Here
B.E./ B.Tech	July 27	1	Check Here
B.E./ B.Tech	March 16	1	Check Here
B.E./ B.Tech	March 16	2	Check Here
B.E./ B.Tech	March 17	1	Check Here
B.E./ B.Tech	March 17	2	Check Here
B.E./ B.Tech	March 18	1	Check Here
B.E./ B.Tech	March 18	2	Check Here
B.Arch & B.Planning	February 23	2	Check Here
B.Planning	February 23	2	Check Here
B.Arch	February 23	2	Check Here
B.E./ B.Tech	February 24	1	Check Here
B.E./ B.Tech	February 24	2	Check Here
B.E./ B.Tech	February 26	1	Check Here
B.E./ B.Tech	February 25	1	Check Here
B.E./ B.Tech	February 26	2	Check Here
B.E./ B.Tech	February 25	2	Check Here

JEE Main 2021 Question Papers in Telugu- Download PDFs Here

Paper/ Subject	Exam Date	Slot/ Session	Question Paper Link
B.E./ B.Tech	July 20	2	Check Here
B.E./ B.Tech	July 27	1	Check Here
B.E./ B.Tech	March 16	1	Check Here
B.E./ B.Tech	March 16	2	Check Here
B.E./ B.Tech	March 17	1	Check Here
B.E./ B.Tech	March 17	2	Check Here
B.E./ B.Tech	March 18	1	Check Here
B.E./ B.Tech	March 18	2	Check Here
B.Arch & B.Planning	February 23	2	Check Here
B.Planning	February 23	2	Check Here
B.Arch	February 23	2	Check Here
B.E./ B.Tech	February 24	1	Check Here
B.E./ B.Tech	February 24	2	Check Here
B.E./ B.Tech	February 26	1	Check Here
B.E./ B.Tech	February 25	1	Check Here
B.E./ B.Tech	February 26	2	Check Here
B.E./ B.Tech	February 25	2	Check Here

JEE Main 2021 Question Papers in Marathi- Download PDFs Here

Paper/ Subject	Exam Date	Slot/ Session	Question Paper Link
B.E./ B.Tech	July 20	2	Check Here
B.E./ B.Tech	July 27	1	Check Here
B.E./ B.Tech	March 16	1	Check Here
B.E./ B.Tech	March 16	2	Check Here
B.E./ B.Tech	March 17	1	Check Here
B.E./ B.Tech	March 17	2	Check Here
B.E./ B.Tech	March 18	1	Check Here
B.E./ B.Tech	March 18	2	Check Here
B.Arch & B.Planning	February 23	2	Check Here
B.Planning	February 23	2	Check Here
B.Arch	February 23	2	Check Here
B.E./ B.Tech	February 24	1	Check Here
B.E./ B.Tech	February 24	2	Check Here
B.E./ B.Tech	February 26	1	Check Here
B.E./ B.Tech	February 25	1	Check Here
B.E./ B.Tech	February 26	2	Check Here

JEE Main 2021 Question Papers in Malayalam- Download PDFs Here

Paper/ Subject	Exam Date	Slot/ Session	Question Paper Link
B.E./ B.Tech	July 20	2	Check Here
B.E./ B.Tech	July 27	1	Check Here
B.E./ B.Tech	March 16	1	Check Here
B.E./ B.Tech	March 16	2	Check Here
B.E./ B.Tech	March 17	1	Check Here
B.E./ B.Tech	March 17	2	Check Here
B.E./ B.Tech	March 18	1	Check Here
B.E./ B.Tech	March 18	2	Check Here
B.Arch & B.Planning	February 23	2	Check Here
B.Planning	February 23	2	Check Here
B.Arch	February 23	2	Check Here
B.E./ B.Tech	February 24	1	Check Here
B.E./ B.Tech	February 24	2	Check Here
B.E./ B.Tech	February 26	1	Check Here
B.E./ B.Tech	February 25	1	Check Here
B.E./ B.Tech	February 25	1	Check Here
B.E./ B.Tech	February 25	2	Check Here

Latest: Collegedunia's JEE Main 2024 Test Series Live, Get Online Mock Tests with Solution Here.

JEE Main 2021 Questions

1.
In a 64 terms GP if sum of total terms is seven times sum of odd terms, then common ratio is:

View Solution

2.
Force F depends on distance \(x\) and time \(t\) as \(F = ax^ 2 + bt\;\frac{1}{2}\) . Final dimension of \(\frac{b^2}{a}\) is

\(M^{ - 1} L^2 T^{-3}\)
\(M ^1 L^{ -3} T^3\)
\(M^ 1 L^3 T^{-3}\)
\(M ^2 L^ 2 T^1\)

View Solution

3.
The integral of \(\int{\frac{x^8-x^2}{(x^{12}+3x^6+1)tan^{-1}(\frac{x^3+1}{x^3})}}\) is equal

\(\frac{1}{3}\)ln |tan^-1(\(\frac{x^3+1}{x^3}\))|+C
ln |tan^-1(\(\frac{x^3+1}{x^3}\))|+C
\(\frac{1}{6}\)ln |tan^-1(\(\frac{x^3+1}{x^3}\))|+C
\(\frac{1}{9}\)ln |tan^-1(\(\frac{x^3+1}{x^3}\))|+C

View Solution

4.
The remainder when \(64^{{32}^{32}}\) is divided by 9 is.

View Solution

5.
Choose the correct option
Molecule
Shape
A \(BrF_5\) i Sea-Saw
B \(H_2O\) ii T-Shape
C \(ClF_3\) iii Bent
D \(SF_4\) iv Square Pyramidal

Molecule	Shape
A	\(BrF_5\)	i	Sea-Saw
B	\(H_2O\)	ii	T-Shape
C	\(ClF_3\)	iii	Bent
D	\(SF_4\)	iv	Square Pyramidal

(A)- iv; (B) - iii; (C) - ii; (D) - i
(A)-iv; (B) - iii; (C) - i; (D) - ii
(A)-iii; (B)-iv; (C) - ii; (D) - i
(A)-iii; (B) - iv; (C) - i; (D) - ii

View Solution

View All

*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 2025 : 17 answered questions

View All

Ques. What marks and rank are required in the JEE Mains exam for CSE in NIT Trichy?

● Top Answer By Gopika Lahiri on 31 May 24

To get admitted to NIT Trichy in 2024 you will have to look at the category-wise cut-off given in the following table. Category Cutoff General 936-5164 EWS 1032-3280 OBC-NCL 1071-1778 SC 499-1450 ST 767-1472 If you are a General category student, you will need to secure 75% in your 12th board to be part of the top 20th percentile and for SC/ST students it is 65%. You will be considered for admission if your rank is higher than the closing ranks. In 2023, the cutoff for JEE Main was 358-14406 rank....Read more

2 Answer

•••

Ques. Can I get into NIT Calicut with 93 percentile in JEE Main?

● Top Answer By Shreya Kalra on 30 May 24

For admission into NITs, you must have obtained a good percentile in JEE MAIN 2024. 93 percentile will roughly correspond to a rank between 81,351-82,500. Now, here are the previous year cutoffs for B.Tech admissions at NIT Calicut- 2023 JEE MAIN Cutoff for NIT Calicut (Open Category, Gender Neutral Seats) Branch HS OS Bio Technology 44304 38003 Chemical 34186 30047 Civil Engineering 45465 37216 CSE 10512 5256 ECE 15076 9358 Electrical & Electronics 20628 14740 Engineering Physics 26910 18337 Materials Science and Engineering 39572 38388 Mechanical Engineering 26786 22734 Production Engineering 45059 36530 Based on the previous year cutoffs, you can analyse and understand the basic rank requirement for B.Tech admissions at NIT Calicut. Unfortunately, 93 percentile ( a rank roughly between 81,351-82,500) is not enough to get you a seat in NIT Calicut. But the situation may be different if you are a reserved category candidate. You can visit the official JoSAA website for more information on 2023 JEE MAIN cutoff for NIT Calicut- https://josaa.admissions.nic.in/applicant/SeatAllotmentResult/CurrentORCR.aspx...Read more

1 Answer

•••

Ques. I got 95 percentile in JEE MAIN. Can I get admission into NIT Calicut with this score?

● Top Answer By Priya Garg on 30 May 24

In general, candidates need a percentile between 85 to 95 for B.Tech admission in NITs. However, this range may vary based on the categories of the students, and the NIT in question. Also, the admission depends on the rank obtained. Here are the expected 2024 cutoff percentile for B.Tech admissions at Top NITs- Expected JEE MAIN cutoff for B.Tech admissions at Top NITs Category Percentile General 90+ PwD - EWS 74+ OBC 74+ SC 52 ST 37 I hope this answer provided you with some clarity on the expected cutoff percentile for B.Tech admission at top NITs like NIT Calicut. ...Read more

1 Answer

•••

Ques. What is the IIEST Shibpur Cutoff Rank in JEE Main for B.Tech admissions?

● Top Answer By Shubham on 29 May 24

IIEST Shibpur is situated in West Bengal. It is a renowned institution that offers B.Tech courses to interested candidates. To gain admission into IIEST Shibpur, the candidates must meet the institution’s cutoff requirement. The cutoff is for the JEE Main exam, and those who fulfil this requirement have to attend the subsequent CSAB/JOSAA counselling. This cutoff serves as a benchmark, ensuring that only candidates who meet the specified rank can apply for the B.Tech programmes at IIEST Shibpur. Here is the 2023 JEE MAIN cutoff for B.Tech Admissions at IIEST Shibpur (Open Category, Gender Neutral Seats)- IIEST Shibpur Cutoff 2023 for B.Tech Admissions Branch HS OS Aerospace Engineering 33167 23280 Civil Engineering 49928 52036 Computer Science and Engineering 11666 13711 Electrical Engineering 23153 28582 Electronics and Telecommunication Engineering 18868 21207 Information Technology 18259 16809 Mechanical Engineering 29101 37579 Metallurgy and MaterialsEngineering 48023 51002 Mining Engineering 53265 54788 I hope you’ve got an idea of the JEE MAIN cutoff trend at IIEST Shibpur for its B.Tech admissions. ...Read more

1 Answer

•••

Ques. Is 20,000 rank in JEE Main enough to get me a seat in DTU?

● Top Answer By Shreshtha Tyagi on 24 May 24

First of all, congratulations on securing such an impressive rank in JEE Main 2024. I am a second year B.Tech IT student at DTU. 20,000 is a pretty good rank and it will open ample branch options for you, even more if you are a Delhi Candidate. I have mentioned below the previous year JEE MAIN cutoff for B.Tech admissions at DTU- JEE MAIN 2023 Cutoff for B.Tech admissions at DTU (General Category) Branch Non-Delhi Candidate Delhi Candidate B.Tech Computer Engineering 6,224 13,345 B.Tech Information Technology 8,047 16,364 B.Tech Software Engineering 10,742 19,967 B.Tech Mathematics and Computing 14,191 22,844 B.Tech Electronics & Communication Engineering 17,427 31,328 B.Tech Electrical Engineering 26,778 45,966 B.Tech Mechanical Engineering 34,761 58,304 B.Tech Engineering Physics 35,157 60,976 B.Tech Automotive Engineering 38,448 68,769 B.Tech Chemical Engineering 1,55,628 97,229 B.Tech Industrial & Production Engineering 1,67,573 99,535 B.Tech Civil Engineering 1,83,336 5,84,235 B.Tech Biotechnology 1,99,849 7,06,173 B.Tech Environmental Engineering 2,03,503 8,81,148 Unfortunately, a rank of 20,000 in JEE MAIN won’t fetch you a seat in Computer Engineering / IT / Software Engineering at DTU. You won’t get admission into Mathematics & Computing or ECE if you are a non-delhi candidate. But all the other branches will be most certainly open for you. In case you are a Delhi candidate, things will be even more in your favor. I hope you choose a good branch at DTU, and begin your journey at this esteemed engineering college....Read more

1 Answer

•••

Practice Papers

2023

JEE Main Question Paper 2021 (Available): Check Previous Year Question Paper with Solution PDF (2024-2014)

JEE Main 2021 Question Papers with Solution PDFs- Session 4 (May/ August)

JEE Main 2021 Question Papers with Solution PDFs- Session 3 (April/ July)

JEE Main 2021 Question Papers with Solution PDFs- Session 2 (March)

JEE Main 2021 Question Papers with Solution PDFs- Session 1 (February)

JEE Main 2021 Language-wise Question Papers

JEE Main 2021 Question Papers in Hindi- Download PDFs Here

JEE Main 2021 Question Papers in Bengali- Download PDFs Here

JEE Main 2021 Question Papers in Gujarati- Download PDFs Here

JEE Main 2021 Question Papers in Tamil- Download PDFs Here

JEE Main 2021 Question Papers in Telugu- Download PDFs Here

JEE Main 2021 Question Papers in Marathi- Download PDFs Here

JEE Main 2021 Question Papers in Malayalam- Download PDFs Here

JEE Main 2021 Questions

1. In a 64 terms GP if sum of total terms is seven times sum of odd terms, then common ratio is:

2. Force F depends on distance \(x\) and time \(t\) as \(F = ax^ 2 + bt\;\frac{1}{2}\) . Final dimension of \(\frac{b^2}{a}\) is

3. The integral of \(\int{\frac{x^8-x^2}{(x^{12}+3x^6+1)tan^{-1}(\frac{x^3+1}{x^3})}}\) is equal

4. The remainder when \(64^{{32}^{32}}\) is divided by 9 is.

5. Choose the correct optionMoleculeShapeA\(BrF_5\)iSea-SawB\(H_2O\)iiT-ShapeC\(ClF_3\)iiiBentD\(SF_4\)ivSquare Pyramidal

JEE Main 2025 : 17 answered questions

Ques. What marks and rank are required in the JEE Mains exam for CSE in NIT Trichy?

Ques. Can I get into NIT Calicut with 93 percentile in JEE Main?

Ques. I got 95 percentile in JEE MAIN. Can I get admission into NIT Calicut with this score?

Ques. What is the IIEST Shibpur Cutoff Rank in JEE Main for B.Tech admissions?

Ques. Is 20,000 rank in JEE Main enough to get me a seat in DTU?

Practice Papers

JEE Main 2023 Question Paper April 6 Shift 1

JEE Main 2021 Sept 1 Shift 2 B.Tech

JEE Main 2021 Aug 31 Shift 2 B.Tech

JEE Main 2021 Aug 31 Shift 1 B.Tech

JEE Main 2021 Aug 27 Shift 2 B.Tech

JEE Main 2021 Aug 27 Shift 1 B.Tech

JEE Main 2021 Aug 26 Shift 2 B.Tech

JEE MAIN 2021 B.Tech EP March, 16 Shift 1

JEE MAIN 2021 B.Tech EO March, 16 Shift 1

JEE MAIN 2021 B.Tech EMA March, 16 Shift 1

JEE MAIN 2021 B.Tech EM March, 16 Shift 1

JEE MAIN 2021 B.Tech EK March, 16 Shift 1

JEE MAIN 2021 B.Tech EG March, 16 Shift 1

JEE MAIN 2021 B.Tech EB March, 16 Shift 1

JEE MAIN 2021 B.Tech EA March, 16 Shift 1

JEE MAIN 2021 B.Planning Sept,09 Shift 2

JEE MAIN 2021 B Arch and Planning Sept,09 Shift 2

JEE MAIN 2021 B Arch and Planning Sept,02 Shift 2

JEE MAIN 2021 B Arch Sept,09 Shift 2

JEE MAIN 2021 B.ARCH Sept, 02 Shift 1

JEE MAIN 2021 B.ARCH Sept, 02 Shift 2

JEE MAIN B.E B.TECH 27th July Shift 1.pdf

JEE MAIN B.E B.TECH 25th July Shift 2.pdf

JEE MAIN B.E B.TECH 25th July Shift 1.pdf

JEE MAIN B.E B.TECH 22nd July Shift 2.pdf

JEE MAIN B.E B.TECH 4th August Shift 2.pdf

JEE MAIN B.E B.TECH 20th July Shift 2.pdf

JEE MAIN B.E B.TECH 3rd August Shift 2.pdf

JEE MAIN B.E B.TECH 4th August Shift 1.pdf

JEE MAIN B.E B.TECH 3rd August Shift 1.pdf

JEE MAIN B.E B.TECH 1st September Shift 2.pdf

JEE MAIN B.E B.TECH 31st August Shift 1.pdf

JEE MAIN B.E B.TECH 27th August Shift 2.pdf

JEE MAIN B.E B.TECH 27th August Shift 1.pdf

JEE MAIN B.E B.TECH 26th August Shift 2.pdf

JEE MAIN B.E B.TECH 26th August Shift 1.pdf

JEE MAIN B.E./B.TECH Urdu 20th July Shift 2

JEE MAIN B.E./B.TECH Telugu 20th July Shift 2

JEE MAIN B.E./B.TECH Tamil 20th July Shift 2

JEE MAIN B.E./B.TECH Punjabi 20th July Shift

JEE MAIN B.E./B.TECH ODIYA 20th July Shift 2

JEE MAIN B.E./B.TECH Marathi 20th July Shift 2

JEE MAIN B.E./B.TECH Malayalam 20th July Shift 2

JEE MAIN B.E./B.TECH Kannada 20th July Shift 2

JEE MAIN B.E./B.TECH Hindi 20th July Shift 2

JEE MAIN B.E./B.TECH Gujrati 20th July Shift 2

JEE MAIN B.E./B.TECH Bengali 20th July Shift 2

JEE MAIN B.E./B.TECH Assamese 20th July Shift 2

JEE MAIN B.E./B.TECH Urdu 27th July Shift 1

JEE MAIN B.E./B.TECH Telugu 27th July Shift 1

JEE MAIN B.E./B.TECH Tamil 27th July Shift 1

JEE MAIN B.E./B.TECH Punjabi 27th July Shift 1

JEE MAIN B.E./B.TECH Odiya 27th July Shift 1

JEE MAIN B.E./B.TECH Marathi 27th July Shift 1

1.
In a 64 terms GP if sum of total terms is seven times sum of odd terms, then common ratio is:

2.
Force F depends on distance \(x\) and time \(t\) as \(F = ax^ 2 + bt\;\frac{1}{2}\) . Final dimension of \(\frac{b^2}{a}\) is

3.
The integral of \(\int{\frac{x^8-x^2}{(x^{12}+3x^6+1)tan^{-1}(\frac{x^3+1}{x^3})}}\) is equal

4.
The remainder when \(64^{{32}^{32}}\) is divided by 9 is.

5.
Choose the correct option
Molecule
Shape
A \(BrF_5\) i Sea-Saw
B \(H_2O\) ii T-Shape
C \(ClF_3\) iii Bent
D \(SF_4\) iv Square Pyramidal