JEE Main Question Papers PDF with Solutions - Download IIT JEE Papers 2025-2016

JEE Main Question Papers PDF with Solutions - Download IIT JEE Papers 2025-2016

Edited By Team Careers360 | Updated on Apr 12, 2025 02:00 PM IST | #JEE Main
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JEE Main question paper - Aspirants preparing for the JEE Main 2025 exam must practice the previous year question papers of JEE Main before attempting the exam. Candidates can find a comprehensive list of the previous year JEE Main question papers in the below mentioned table. NTA is conducting JEE Main 2025 in two sessions. The first phase IIT JEE is expected to be held in January 2025, whereas the second phase is happening now in April 2025. NTA will release the JEE Main question papers 2025 of both sessions after the conclusion of the exams. The links for the JEE Main 2025 January and April session papers is updated on this page. The answer key of the session 2 of JEE Main 2025 is released and it can be accessed from the official website now. The JEE Main Question paper compilation is given below for 22nd jan ,23 , 24 and 28 jan and 29 jan shift 1 and 2 . Now April 2 , April 3 , 4 April , April 7 and April 8 is also updated below!

This Story also Contains
  1. JEE Main Question Papers with Solutions
  2. Watch Live Analysis April 8 Shift 2
  3. JEE Main 2025 April Session Memory Based Question Paper
  4. April 8 Shift 2 (1 shift only)
  5. April 7 Shift 2
  6. April 7 Shift 1
  7. April 4 Shift 2
  8. April 4 Shift 1
  9. Overall April 3 Question Paper (Memory Based)
  10. Shift 1
  11. Overall April 2 Shift 1 and Shift 2 Question Paper Details
  12. JEE Main 2025 Memory Based Question January Session
  13. Download Last 5 Years IIT JEE Mains Subject Wise PYQ PDFs
  14. JEE Mains 2024 Question Paper with Answers
  15. JEE Main 2023 Question Paper with Solution PDF (April & January Sessions)
  16. JEE Main Previous Year Important Questions With Solutions
  17. How to download the JEE Main Question Papers With Solutions?
  18. Benefits of Solving JEE Main Previous Year Question Paper
JEE Main Question Papers PDF with Solutions - Download IIT JEE Papers 2025-2016
JEE Main Question Papers PDF with Solutions - Download IIT JEE Papers 2025-2016
LiveJEE Main Answer Key 2025 (Out) Live: NTA JEE Mains session 2 response sheet out; answer key updates, cut-offsApr 12, 2025 | 10:28 PM IST

Candidates can check the JEE Main 2025 qualifying cut-offs for previous year’s as follows. 

Category/Year

2024

2023

2022

2021

2020

General

93.2362181

90.7788642

88.4121383

87.8992241

90.3765335

OBC-NCL

79.6757881

73.6114227

67.0090297

68.0234447

72.8887969

SC

60.0923182

51.9776027

43.0820954

46.8825338

50.1760245

ST

46.6975840

37.2348772

26.7771328

34.6728999

39.0696101

GEN-EWS

81.3266412

75.6229025

63.1114141

66.2214845

70.2435518

PwD

0.0018700

0.0013527

0.0031029

0.0096375

0.0618524

Read More

Check out the direct link for the latest edition of the previous years' JEE Main test papers below.
Latest- JEE Main Question Paper With Solution PDFs for the last 10 years

JEE Main Question Papers with Solutions

The JEE Main question paper of the previous years has been provided here. Students can download and view the question paper. Solutions of previous year question papers have also been provided here which refer to check the answers of questions either correct or incorrect.JEE Main answer key is released.

Watch Live Analysis April 8 Shift 2

JEE Main 2025 April Session Memory Based Question Paper

April 8 Shift 2 (1 shift only)

A fractional errors in x,y and z are 0.1,0.2 and 0.5 respectively. Find the maximum fractional error in x−2y32z−25.

1) 0.2

2) 0.7

3) 0.6

4) 0.3

The number of rational terms in the binomial expansion of (512+718)1016 is

1) 129

2) 128

3) 127

4) 130

Consider the following statement

Statement I: H2Se is more acidic than H2Fe
Statement II : H2Se has higher bond dissociation Enthalpy
In light of the above statement, choose the correct option

1 Statement-1 is true & Statement-II is false

2 Statement-I is false & Statement-Il is true
3 Both Statement-I & Statement-II are true
4 Both Statement-1 & Statement-II are false

April 7 Shift 2

Q.1 Consider the following oxides

V2O5,Cr2O3,Mn2O7, V2O3,VO2
Number of oxides which are acidic is x.
Consider the following complex compound [Co(NH2CH2CH2NH2)3]2(SO4)3 the primary valency of comple x is y
The value of x+y is

Q 2. Given below are two statements. One is labelled as Assertion (A) and the other is labelled as reason (R).
Assertion (A) : Refractive index of glass is more than air.
Reason (R) : Optical density of a medium is directly related to its mass density.
In the light of the above statements, choose the correct answer from the options given below

1. (A) is false but (R) is true

2. (A) is true but (R) is false

3. Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

4. Both (A) and (R) are true and (R) is the correct explanation of (A)

Q 3. If x|x−3|+3|x−2|+1=0, then the number of real solution is

1) 2

2) 4

3) 1

4) 6

April 7 Shift 1

Q.1. A compound having molecular formula MX3 has van't hoff factor of 2. What is the degree of dissociation?
10.25
20.5
30.3
40.75

Q 2. The dimensions of a physical quantity ε0dϕEdt are similar to [Symbols have their usual meanings]

1. Electric Current

2. Electric Field

3. Electric Flux

4. Electric Charge

Q 3. The remainder when 646464 is divided by 7 is equal to

1. 1

2. 2

3. 3

4. 4

April 4 Shift 2

Q.1 Maximum IE and minimum IE of group 13 elements

1B,ln

2B,TI
3Al,In
4Al,Tl

Q.2 Total number of electrons in chromium (Z=24) for which the value of azimuthal quantum number (I) is 1 and 2

Q 1. cot−1⁡(74)+cot−1⁡(194)+cot−1⁡(394)+⋯∞

1)cot−1⁡(2)2)cot−1⁡(12)3)cot−1⁡(13)4)cot−1⁡(3)

Q 2. ∑k=1n(αk+1αk)2=20,α is one of the root of x2+x+1=0 then n= ?

Q 3. Let L1:x−13=y4=z5 and L2:x−p2=y3=z4. If the shortest distance between L1 and L2 is 16. Then possible value of p is

Q 1) A disc is performing pure rolling if speed of top point is 8 m/s. Find speed of point B.

April 4 Shift 1

Q.1 In the following, the number of paramagnetic molecules are : O2, N2, F2, B2,Cl2

Q.2 Which of the following is the ratio of 5th Bohr orbit (r5) of He+&Li2+ ?
1) 23
2) 32
3) 94
4) 49

Q 1. Solve ∫−111+2xe−x+exdx.

1) 2(tan−1⁡e−π4)
2) 2(tan−1⁡e−π3)
3) 2(tan−1⁡e−π2)
4) 2(π2−tan−1⁡π)

Q 2. If the equation of an ellipse E is x29+y216=1, then the length of latus rectum of E is

1)3252)923)1634)95

Q 1) A ring and a solid sphere were released from rest from the same height on enough rough inclined surface. Ratio of their speed when they reach at bottom is 7x m/s, then x is

Q 2) Mean free path for an ideal gas is to be observed 20μ m while average speed of molecules of gas is observed to be 600 m/s, then frequency of collision is near by.

Overall April 3 Question Paper (Memory Based)

Shift 2

Q.1 Find out the magnitude of work done in the process ABCD (in kJ) (1 atm. Lit = 101.3 J)

Q.2 Amount of magnesium (Mg) (in mg ) required to liberate 224 mL of H2 gas at STP, when reacted with HCl

Q.3 Among Sc, Ti, Mn and Co, Calculate the spin only magnetic moment in +2 oxidation state of metal having highest heat of atomisation.

Q.4 Statement-1: Wet cotton cloths made up of cellulose based carbo hydrate Takes comparatively longer time to get dried than wet nylon based clothes
Statement - 2: Intermolecular hydrogen bonding with water molecule is more In nylon based clothes than in cotton clothes.
1. Statement - 1 and Statement - 2 are correct
2. Statement - 1 and Statement - 2 are incorrect
3. Statement - 1 is true and Statement - 2 is false
4. Statement - 1 is false and Statement - 2 is true

Q 5)An equilateral prism is made of a material of refractive index 2. Find the angle of incidence for minimum deviation of the light ray.

Q 6) The moment of inertia of a ring of mass M and radius R about an axis passing through the tangential point in the plane of the ring is

Q 7) What is the dimensional formula of 1μ0ε0 (where μ0 is permeability and ε0 is permittivity of free space)

Q 8) Two water drops each of radius of r coalesce to form a bigger drop. If T is the surface tension, surface energy released in this process is

Q 9) A particle moves on a circular path of radius 1 m. Find its displacement when it moves from A→B→A→B. Also its distance are it moves from A→B→A →B→A.

Q 10) A disc of mass M and radius 2 m is hinged, keeping the axis horizontal. If angular acceleration of the disc is 2rad/s2. Find moment of inertia

Shift 1

Maths Questions

Q 1. Let A be 3×3 matrix such that det(A)=5. If det(3adj(2Aadj(2A)))=2α⋅3β⋅5γ, then (α+β+γ) is equal to

1. 25

2. 26

3. 27

4. 28

Q 2. The sum of all rational numbers in (2+3)8 is

1. 18117

2. 18817

3. 17280

4. 1800

Q 3. If the sum ∑r=19(r+3r)⋅9Cr=α⋅(32)9−β, then the value of (α+β)2 is equal to

1. 9

2. 81

3. 27

4. 36

Chemistry

Chemistry

3 april shift 1

Q.1 Which of the following ion shows spin only magnetic moment of 4.9 B.M.
1) Mn2+
2) Cr2+
3) Fe3+
4) Co2+

Q.2 Which of following has highest atomic number

1 Po

2 Pt

3 Pr

4 Pb

Q.3 An ideal gas with an adiabatic exponent 1.5 , initially at 27∘C is compressed adiabatically from 800 cc to 200 C . The final temperature of the gas is
(A) 700 K
(B) 500 K
(C) 250 K
(D) 600 K

Q.4 2 moles each of ethylene glycol and glucose are mixed with 500 g of water. Find the boiling point of solution.
Given : Kb=0.52 K kg mol−1
1377.16 K
2368.84 K
3376.16 K
4369.84 K

Physics

Q 1) An ideal gas with an adiabatic exponent 1.5 , initially at 27∘C is compressed adiabatically from 800 cc to 200 cc . The final temperature of the gas is

Q 2) In YDSE, light of intensity of 4I and 9I passes through two slits respectively. The difference of maximum and minimum intensity of the interference pattern is


Overall April 2 Shift 1 and Shift 2 Question Paper Details

April 2 Shift 2

Q.1 Which of the following statement(s) is correct is/are for the adiabatic process?
A. Molar heat capacity is zero.
B. Molar heat capacity is infinite.
C. Work done on gas is equal to increase in internal energy
D. The increase in temperature results in decrease in internal energy

1 A and C only

2 B and C only

3 A and D only

Q.2 Which does not follow general trends among Halogens
(1) I. E
(2) Electro Affinity
(3) Ionic Radius
(4) Covalent Radius

Q.3 Relation between magnetic sucesptibility and magnetic permeability

Q.4 Which Amino acids is optically inactive
(1) Alanine
(2) Glycine
(3) Valine
(4) Aspartic Acid

Physics

Q.1 What is the units of viscosity, intensity of wave, and pressure gradient

Q.2 The figure shows an infinite plane having uniform charge density σ and a small charged particle having charge q and mass m suspended by a light insulating thread. Find σ if the charge is in equilibrium.

12f0mgq
2ε0mg2q
32qε0mg
42qε0mg

Q.3 Find the ratio of (γ=CpCv) for two gases having degree of freedoms f=3 and f=5.

Q.4 The ratio of the magnetic field to the center of the circular coil to the magnetic field at a distance x from the center of a circular coil

(xR=3/4)

Q.5 Two point charges q and 9q are placed at a distance of l from each other. Then the electric field is zero at a

1 Distance l4 from charge 9q
2 Distance 3l4 from charge q3 Distance l3 from charge 9q
4 Distance l4 from charge q

Q 1. Total number of terms in an A.P are even. Sum of odd terms is 24 and sum of even terms is 30. Last term exceeds the first term by 212. Find the total number of terms.

Q 2. If the domain of the function f(x)=13x+10−x2+1x+|x| is (a,b) then (1+a)2+b2 is equal to

1. 25
2. 16

3. 24

4. 26

Q 3. If θ∈[−7π6,4π3], then number solutions of 3cosec2θ−2(3−1)cosecθ−4=0, is

Q 4. Find the eccentricity of ellipse in which length of minor axis is equal to onefourth of the distance between foci

1. 417
2. 217
3. 717
4. 817

April 2 Shift 1

Q 1. Find the maximum value of n such that 50! is divisible by 3n.

Q 2. Let Pn=αn+βn,P10=123,P9=76,P8=47 and P1=1, the quadratic equation whose roots are 1α and 1β.

1. x2+x−1=0
2. x2−2x+1=0
3. x2+x−2=0
4. x2−x−2=0

Q 3. Number of solutions in [−2π,2π] for equation 22cos2⁡θ+(2−6)cos⁡θ−3=0.

Q 4. The total number of 10 digits sequences formed by only {0,1,2} where 1 should be used at least 5 times and 2 should be used exactly three times, is

Q 5. Let a1,a2,a3,…. is an A.P. and ∑k=112a2k−1=−725a1 and ∑k=1nak=0. Then the value of n is

Q.6 Which of the following statement(s) is correct is/are for the adiabatic process?
A. Molar heat capacity is zero.
B. Molar heat capacity is infinite.
C. Work done on gas is equal to increase in internal energy
D. The increase in temperature results in decrease in internal energy

1 A and C only

2 B and C only

3 A and D only

Q.7 What is the units of viscosity, intensity of wave and pressure gradient

Q.8 Which does not follow general trends among Halogens
(1) I. E
(2) Electro Affinity
(3) Ionic Radius
(4) Covalent Radius

Q.9 The figure shows an infinite plane having uniform charge density σ and a small charged particle having charge q and mass m suspended by a light insulating thread. Find σ if the charge is in equilibrium.

12f0mgq
2ε0mg2q
32qε0mg
42qε0mg

Q.10 Find the ratio of (γ=CpCv) for two gases having degree of freedoms f=3 and f=5.

Q.11 Relation between magnetic sucesptibility and magnetic permeability

Q.12 Two point charges q and 9q are placed at distance of l from each other. Then the electric field is zero at a

1 Distance l4 from charge 9q
2 Distance 3l4 from charge q3 Distance l3 from charge 9q
4 Distance l4 from charge q

JEE Main Questions Paper ( Memory Based)

JEE Main 2025 2 April Shift 1 Question PaperClick Here
JEE Main 2025 2 April Shift 2 Question PaperClick Here
JEE Main 2025 3 April Shift 1 Question PaperClick Here
JEE Main 2025 3 April Shift 2 Question PaperClick here
JEE Main 2025 4 April Shift 1 Question PaperClick Here
JEE Main 2025 4 Shift 2 Question PaperClick Here
JEE Main 2025 7 April Shift 1 Question PaperClick Here
JEE Main 2025 7 April Shift 2 Question PaperClick Here
JEE Main 2025 8 April Shift 2 Question paperClick Here
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JEE Main 2025 Memory Based Question January Session

Q. For [NiCl4]−2 What is the charge on metal and shape of complex respectively?
(1) +2 , tetrahedral
(2) +2 , square planar
(3) +4 , tetrahedral
(4) +4, square planar

Q. Solid sphere of mass M, radius R exerts force F on a point mass. Now a concentric spherical mass M7 is removed. What is new force?
(1) F7
(2) 67F
(3) 5F7
(4) 3F7

Q. Form a 5 letter word is to be made using any distinct 5 alphabets such that middle alphabet is M and letter should be in increasing order.

Q. Electrolysis of which compound Give H2 S2O3
a) Electrolysis of Conc. Na2SO4
b) Electrolysis of Dil. Na2SO4
c) Électrolysis of Conc. H2SO4
d) Electrolysis of Dil. H2SO4

Q. Compare boiling point of given solutions
(i) 10−4.NaCl
(i) 10−3NaCl
(iii) 10−2NaCl
(iv) 10−4 urea
(1) I > II > III > N
(2) III > II > I > N
(3) il > I > ili > N
(4) III > II > II > N

Q. Let the triangle PQR be the image of the triangle with vertices (1,3),(3,1)(2,4) in the line x+2y=2. if the centroid of △ PQR is the point (α,β) then 15(α−β) is equation

Q. Find the Radius of Curvature of the Common surface of two bubble (R1>R2)

a) R=R1R2R1+R2
b) R=2R1R2R1−R2
c) R=R1R2R1−R2
d) R=R1R2R1−R2

Q. A Parallel plate capacitor of capacitance 40μ F is connected to a 100V power supply now the intermediate space between the plates is filled with a drelectric material of dielectric constant k=2. due to the introductiuon dielectric the extra charge and the change in electrostatic energy in the capacitor respectively or

(a) 2 mc and 0.4 J
(b) 2 mc and 0.2 J
(c) 4 mc and 0.2 J
(d) 8 mc and 2.J

Q. Given a1,a2,a3… are in GP such that a1a5=28 and a2+a4=29 find a6 ?

Q. The correct order of electronegativity

1. F > Cl > Br > I

2. Cl > F > Br > I

3. F > Cl > I > Br

4. Br > F > I > Cl

Q. which of the following lanthanide ion as 7e− in the outer moss shell
a) Eu+3
3) Gd+3
c) Eu+2
d) Gd+2

Q. if 2x2+(cos⁡θ)x−1=0θ∈[0,2π] has roots α+β. Then the sum of maximum and minimum value of α4+β4 is

4) 25/16
b) 9/16
c) 41/16
d) 8/17

Q. Which of the following doesn't show disproportionation reaction

(1) ClO−

(2) ClO2−

(3) ClO3−

(4) ClO4−

Q. Density of 3M NaOH is 1.25 g/mol. Molarity of the solution is _____.

Q. A ball of mass 100 grams throw m at speed 20 m/s with angle 60 percent degree with horizontal. Now tell the decrease in kinetic energy from point of throwing to the ball when it reaches to Max height basically a projectile question

Q. Which of the following has "two secondary hydrogens"

(1) 2,2,3,3-Dimethyl Pentane
(2) 2,2,4,4-Dimethyl Heptane
(3) 4- Ethyl-2,2 Di methyl hexane
(4) None of these

Q. If θ∈(0,2π] satisfying the system of equations 2sin2⁡θ=cos⁡2θ and 2cos2⁡θ=3sin⁡θ. Then the sum of all real values of θ is

13π22π3π245π6

Q. Arrange according to CFSE.
(i) [Co(NH3)4]2+
(ii) [Co(NH3)6]3+
(iii) [Co(NH3)6]2+
(iv) [Co(en)3]3+

1) (iv) > (ii) > (iii) )>( (i)

2) (iv) > (iii) > (ii) > (i)

3) (i) > (iii) )> (ii) > (iv)

4) (i) > (ii) > (iii) > (iv)

Q. Find the correct dimensional formula for the capacitance in terms of M, L, T and C where they stand for unit of mass, length, time and charge.

JEE Main previous year question paper pdf

Aspirants can check the previous year's JEE Main question paper pdf link from the table below to prepare for the IIT JEE 2025 exam.

JEE Main 2025 Rank Predictor
Predict your JEE Main rank based on expected scores by using JEE Main 2025 Rank Predictor.
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Download Last 5 Years IIT JEE Mains Subject Wise PYQ PDFs

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JEE Mains 2024 Question Paper with Answers

JEE Main 2024 paper was conducted in 2 sessions. Let's have a look at the details of all shift papers from both sessions.

JEE Main 2024 Questions with Answers (Officials)

The JEE Main 2024 question paper for the January attempt has been provided here. Students can view and download the question paper. Students will also find the solutions for the questions which they can refer to check the answer either correct or incorrect.










JEE Mains 2024 Question Paper Analysis (April Session)















JEE Main 2024 Questions and Paper Analysis (January Session)















You can check questions from all these shifts with detailed solutions in the below-given e-books

From all 20 shifts of JEE Main 2024 question paper, you will have a total of 1800 previous year questions to practice which are based on the same syllabus and exam pattern as that of JEE Main 2025.

JEE Main 2023 Question Paper with Solution PDF (April & January Sessions)

JEE main 2023 paper was conducted in 2 sessions. Candidates can download the JEE Mains 2023 Question Paper with Solutions PDF for both the January and April Sessions. It is advised to solve as many JEE Main 2023 all-shift question paper pdf as you can. These JEE Mains 2023 question papers consist of JEE Main chapter-wise pyq.

JEE Mains 2023 Question Paper With Solution (April Session)






JEE Main 2023 Question Paper With Solution (January Session)






You can check questions from all these shifts with detailed solutions in the below-given e-books

In JEE Main 2023, a total of 24 shifts were there from both the January and April sessions. Thus, students can practice from a total of 2160 previous year question papers of JEE Main for a better understanding of the difficulty level and exam pattern of JEE Main 2025 paper.

JEE Main 2022 Question Paper PDF With Solution (Session 1 and 2)

JEE main 2022 paper was conducted in 2 sessions. Let's have a look at the details of all shift papers from both sessions.

JEE Main 2022 Question Paper Session 2 (July)








JEE Main 2022 Question Paper Session 1 (June)










You can check questions from all these shifts with detailed solutions in the below-given e-books

In JEE Main 2022, a total of 22 shifts were there from both the June and July sessions. Aspirant preparing for JEE Main 2025 must go through these 1980 previous year question papers of JEE Main 2022 for better understanding and scoring higher marks in JEE Main 2025 exam.

JEE Main 2021 Question Paper PDF With Solution (All Sessions)

JEE main 2021 paper was conducted in 4 sessions. You can check questions from all these shifts with detailed solutions in the below-given e-books

In JEE Main 2021, a total of 26 shifts were there from all 4 sessions. Thus, students preparing for the JEE Main 2025 exam can practice from a total of, 2340 previous year question papers of JEE Main 2021. This activity is very helpful for the students.

JEE Main 2021 Question Paper, July session







JEE Main 2021 Question Paper PDF With Solution February Session






JEE Main 2020 Question Paper PDF with Solution (All Sessions)

JEE main 2020 paper was conducted in 2 sessions. You can check questions from all these shifts with detailed solutions in the below-given e-books

JEE Main 2020 Question Paper PDF With Solution January Session




JEE Main 2019 Question Papers PDF With Solution (April & January Session)

JEE main 2019 paper was conducted in 2 sessions involving 1440 question from 16 different shifts held on different days. You can check questions from all these shifts with detailed solutions in the below-given e-books

JEE Main 2019 Question Paper PDF With Solution April Session





JEE Main 2019 Question Paper PDF With Solution January Session





JEE Main 2018 Question Paper



JEE Main 2017/ 2016 Question Paper



JEE Main 2015 Question Paper





JEE Main 2014 Question Paper












Download- JEE Main 2013 Solved paper

JEE Main Previous Year Important Questions With Solutions

1. (Subject - Physics, Chapter - Properties of Solids and Liquids, Shift - 27 July-Evening Shift 2022)

Question:- A steel wire of length 3.2 \mathrm{~m}\left(\mathrm{Y}_{\mathrm{s}}=2.0 \times 10^{11} \mathrm{Nm}^{-2}\right)and a copper wire of length 4.4 \mathrm{~m}\left(\mathrm{Y}_{\mathrm{c}}=1.1 \times 10^{11} \mathrm{Nm}^{-2}\right), both of radius, 1.4 \mathrm{~mm} are connected end to end. When stretched by a load, the net elongation is found to be 1.4 \mathrm{~mm}. The load applied, in Newton, will be: \quad\left(\right.$ Given $\left.\pi=\frac{22}{7}\right)

  1. 360

  2. 180

  3. 1080

  4. 154

Answer- 4) 154

Solution:-

JEE Main pevious year paper

JEE Main question paper previous year

JEE Main previous year question paper

PYQP JEE Mains

JEE Main PYQ with solution

JEE Main question paper with answer

\mathrm{F=\left(\frac{Y A}{\ell}\right) \Delta \ell}

1720517024596

\mathrm{K=\left ( \frac{YA}{\ell} \right )\Delta \ell}

\mathrm{\frac{1}{k_{e q}}=\frac{1}{k_1}+\frac{1}{k_2} }

\mathrm{\frac{1}{K_{e q}}=\frac{\ell_s}{Y_s A_s}+\frac{\ell_c}{Y_c A_C}}

\mathrm{\frac{1}{K_{\text {eq }}}=\frac{3.2}{A \times 2 \times 10^{11}}+\frac{4.4}{A \times 1.1 \times 10^{11}}}

\mathrm{taking\: A_{s}=A_{c}=A}

\mathrm{\frac{1}{K_{e q}} =\frac{1.6 \times 10^{-11}}{A}+\frac{4 \times 10^{-11}}{A} }

\mathrm{K_{e q} =\frac{A}{5.6 \times 10^{-11}} }

\mathrm{K_{e q} =\frac{A \times 10^{11}}{5.6} }

\mathrm{F =K_{e q}(\Delta \ell) }

\mathrm{=\frac{A \times 10^{11}}{5.6} \times 1.4 \times 10^{-3} }

\mathrm{=\frac{3.14 \times\left(1.4 \times 10^{-3}\right)^3 \times 10^{11}}{5.6} }

\mathrm{F =\frac{22\times(1.4)^2 \times 10^2}{7\times 4} }

\mathrm{F =154 \mathrm{~N}}

Hence, 4 is correct option


2. (Subject - Maths, Chapter - Trigonometry, Shift - 15 Apr - Morning Shift 2023)

Question:- If the domain of the function f(x)-\log _e\left(4 x^2+11 x+6\right)+\sin ^{-1}(4 x+3)+\cos ^{-1} \frac{10 x+6}{3} is (\alpha, \beta), then 36|\alpha+\beta| is equal to

  1. 72

  2. 63

  3. 45

  4. 54

Answer- 3) 45

Solution:-

JEE Main previous year questin paper with solutions

Hence, the answer is the option (3).

3. (Subject - Chemistry, Chapter - Hydrocarbon, Shift - 9 Apr - Evening Shift 2024)

Question:- Number of compounds from the following which cannot undergo Friedel-Crafts reactions is :____ toluene, nitrobenzene, xylene, cumene, aniline, chlorobenzene, m-nitroaniline, m-dinitrobenzene

Answer- 3) 4

Solution:-

Compounds which can not undergo Friedel Crafts reaction are

JEE Main 2024 question paper with solution

JEE Main Question Paper with Solutions PDF Download Links

IIT JEE Mains previous year paper pdf is available at careers360.com. Students can download these IIT JEE Mains previous year question papers to prepare for the exam. These IIT JEE Mains question papers guide students about the difficulty level of the exam, and the weightage of Class 11 and 12 subjects. JEE Mains previous year questions pdf download link is easily accessible here. It is suggested to solve JEE Mains previous paper after preparing all topics to check preparedness. NTA JEE Mains previous papers are a helpful resource for exam preparation.

How to download the JEE Main Question Papers With Solutions?

Careers360 has collected different sets of JEE Main question papers which their experts have solved to provide the right solution for preparation. Below are the steps to download the JEE Mains previous year paper with solutions.

  • Go to the website- engineering.careers360.com

  • Click on the “Sample Paper" section

  • Now, select the "View All" option

  • From the exam filter, Select "JEE Main"

  • This will list down all the JEE Main previous year question papers and preparation e-books

  • Download the JEE Mains question paper pdf and solve them to know your preparation level

Benefits of Solving JEE Main Previous Year Question Paper

Practicing the previous year JEE Main question paper is an important part of exam preparation. Students can avail of several benefits of solving these JEE Main previous year paper pdf that are listed below.

  • Understand paper pattern: By solving the JEE Main question paper of the previous year pdf, candidates can get an idea of the type of questions asked in the exam, the weightage of different topics, and the overall JEE Main exam pattern. This helps them prepare a better strategy for the exam.

  • Improves time management: Solving the previous year JEE Main question paper helps candidates get familiar with the exam format and manage their time effectively. It also helps them identify which sections they need to focus on to improve their speed and accuracy.

  • Boosts confidence: Regularly practicing the previous year JEE Main question paper pdf with solutions can help candidates build their confidence and reduce anxiety before the actual exam. They can identify their strengths and weaknesses and work on improving their weak areas.

  • Provides practice for the actual exam: JEE Mains previous year papers provide candidates with an opportunity to practice the type of questions they are likely to encounter in the actual exam. This helps them familiarize themselves with the exam format and better prepare for the actual exam.

  • Helps in revision: Practicing JEE Main previous question papers is an effective way to revise the concepts learned during the preparation. By solving the JEE Main question paper of the previous year pdf, candidates can reinforce their understanding of the topics and identify any gaps in their knowledge.

Frequently Asked Questions (FAQs)

1. Can I get JEE Main 2024 question papers in Hindi language?

Yes, JEE Main 2024 question papers are available in both English and Hindi languages.

2. Is it necessary to solve JEE Main previous year question papers?

Yes, solving JEE Main previous year question papers can help in identifying the important topics, understanding the exam pattern, and improving time management skills.

3. Can I challenge the JEE Main 2025 answer key?

Yes, NTA provides the facility to challenge the JEE Main 2025 answer key within a specified time period. Candidates have to pay a certain fee for each question they challenge.

4. How can I use JEE Main 2024 question papers for practice?

Candidates can use JEE Main 2024 question papers for practice by solving them in a timed manner, analysing their performance, and identifying areas where they need improvement.

5. Are JEE Main 2024 question papers available offline?

No, JEE Main 2024 question papers are not available offline. Candidates can download them in PDF format from the official website of NTA.

6. How to get official JEE Main question paper?

Students can download the JEE Main previous year question paper PDFs from the official website of engineering.careers360.com. The website provides resources like JEE Main 2023 Session 2 question papers and solutions arranged by date, as well as JEE Main 2023 Session 1 question papers and solutions. Additionally, the JEE Main 2021 answer key and solutions are also available for download.

7. Is 90% a good score in JEE Mains?

Yes, a 90 percentile is considered a good score in the JEE Main exam.

8. What is the date of the JEE Main 2025 session 1 exam?

The exam dates of JEE Main 2025 session 1 exam are January 22, 23, 24, 28 and 29, 2025.

9. Can I appear for JEE Main 2025 without the admit card?

No, the admit card is a mandatory document for entry into the exam hall. Without it, you will not be allowed to sit for the exam.

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Questions related to JEE Main

Have a question related to JEE Main ?

Hello,

With 986 marks in your Telangana board exams and an 85.04 percentile in JEE Mains, securing a free seat in top B.Tech CSE programs is challenging but possible, especially if you belong to a reserved category. Your percentile may qualify you for certain NITs, such as NIT Agartala and NIT Mizoram, though CSE seats are highly competitive. Exploring reputable private institutions and state engineering colleges in Telangana, which accept JEE Main scores, could also be a viable option. (https://www.collegedekho.com/articles/list-of-colleges-for-80-90-percentile-in-jee-main/?utm_source=chatgpt.com)

Yes, with a 68 percentile in JEE Main, you have a good chance of getting admission to Vikram University, Ujjain, for B.Tech courses. The university accepts JEE Main scores, and past trends suggest that candidates with lower percentiles have also secured admission.

With an 80.574669 percentile in JEE Mains 2025 under the EWS category, you're close to qualifying for JEE Advanced. The expected cutoff for EWS category candidates is around 78 percentile ¹. However, to confirm your eligibility, let's break down the key factors:

Eligibility Criteria for JEE Advanced

- Minimum Percentile: 78 percentile for EWS category candidates

- Minimum Rank: Among the top 2,24,000 candidates in JEE Mains, including all categories

- Academic Requirements: Passed +2 with a minimum aggregate of 75% (65% for SC/ST and PwD candidates)


EWS Category Considerations

- Reservation: 10% reservation for EWS category candidates

- Certificate Requirement: You'll need to provide an EWS certificate to avail the reservation benefits

Keep in mind that cutoffs may vary from year to year. Stay updated and focus on your preparation to increase your chances of qualifying for JEE Advanced.


Hello,

If you forgot to click the "attempted" button in the drawing section of your JEE B.Arch exam, you should immediately contact the exam authorities or the helpline provided by JEE.

They might be able to help you resolve the issue or guide you on any further steps to take. It's important to reach out as soon as possible to explain the situation.

Hope it helps !

Hello,

With a 96.48 percentile in JEE Main and belonging to the OBC-NCL category, your approximate rank would be around 35,200. This rank may make it challenging to secure a Computer Science Engineering (CSE) seat in top NITs . However, you might have a chance in certain NITs, such as NIT Srinagar, where the closing percentile for CSE has previously been around 96.7 to 96.8.

Additionally, other engineering institutes like IIITs and GFTIs may have CSE seats available for your rank and category. It's advisable to check the specific cutoffs for these institutions.

Hope it helps !

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