JEE Main 2024 Question Paper With Solutions PDF

JEE Main 2024 Question Paper With Solutions PDF

Edited By Vikash Kumar Vishwakarma | Updated on Nov 01, 2024 09:28 AM IST | #JEE Main
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JEE Main 2024 question paper - Download the 2024 question paper with the solution in pdf format from this article. JEE Main ( Joint Entrance Examination) is one of the most common exams of engineering. JEE Main Exam is conducted in two sessions one in January and the other In April. Herein, in this article, we provide a link to download the JEE Main 2024 question paper with solutions for both sessions. NTA will publish the JEE Main Question Paper 2025 within a week of the JEE Main exam conclusion. The JEE Main answer key along with the question paper will be released at jeemain.nta.ac.in.

JEE Main 2024 Question Paper With Solutions PDF
JEE Main 2024 Question Paper With Solutions PDF

To download the official JEE Mains 2024 question paper pdf, candidates can go through this article and download the corresponding pdf by clicking on the corresponding links provided in the article.

JEE Main Question Paper 2024 Session 1

Below are links to download the 2024 session 1 question paper with the answer key. Using these links you can easily access the question paper and answer key. Below is the link for the JEE Main Question Paper 2024 pdf.

JEE Main Question Paper 2024 Session 2

JEE Main 2024 Questions Paper Analysis with Answers

JEE Main 2024 paper was conducted in 2 sessions. Let's have a look at the detailed analysis of both session question papers by experts of careers360. JEE Main 2024 question paper based on the latest syllabus and latest pattern which was changed by NTA.

JEE Main 2024 Questions and Paper Analysis (April Session)

JEE Main 2024 Questions and Paper Analysis (January Session)

How to download the JEE Main 2024 Question Papers With Solutions?

Here are the steps to download the JEE Mains 2024 previous year paper with solutions.

  • Click on the links provided in the tables above.

  • Register using your email ID.

  • The JEE question paper pdf download link will be sent to the registered email ID.

  • Simply download it and view the file.

Also Check:

JEE Main Last 10 Years Question Papers with Solutions

JEE Main Question Paper with Solutions and Answer Keys

Benefits of Solving JEE Main 2024 Question Paper

The previous year's JEE Main question papers are an important resource for exam preparation. The JEE Main 2024 question paper based on the latest syllabus and latest pattern offers the following benefits-

  • Helps in revising and identifying topics that need more practice and conceptual clarity.

  • Students gain a better understanding of the JEE Main exam pattern, frequently appearing topics and more. It acts as an effective preparation strategy for the exam.

  • Candidates can improve their time management skills. They can also use it to determine which sections to concentrate on for better accuracy and speed.

  • Regular practice of JEE Main question paper pdf with solutions can help aspirants gain confidence and reduce anxiety before the exam.

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JEE Main Previous Year Questions 2024

Chemistry

1. Cyclohexene 1721277874250is __________ type of an organic compound.

a)Benzenoid non-aromatic

b)Benzenoid aromatic

c)Alicyclic

d)Acyclic

Solution : 1721277874171 is alicyclic compound

2. Which of the following statements are correct?

A. Glycerol is purified by vacuum distillation because it decomposes at its normal boiling point.

B. Aniline can be purified by steam distillation as aniline is miscible in water.

C. Ethanol can be separated from the ethanol-water mixture by azeotropic distillation because it forms azeotrope.

D. An organic compound is pure, if mixed M.P. remains the same.

Choose the most appropriate answer from the options given below :

Solution: Option (B) is incorrect because aniline is immiscible in water.


Physics

1. By what percentage will the illumination of the lamp decrease if the current drops by 20%?

a)56% b) 26% c) 36% d)46%

Solution: Heat and Power developed in a resistor

Heat developed in a resistor: When a steady current flows through a resistance R for time t, the loss in electric potential energy appears as increased thermal energy(Heat H) of the resistor and H=i^2RtThe power developed = \frac{energy}{time}=i^2R=iR=\frac{V^2}{R} (from Ohm's law)

The unit of heat is the joule (J)

The unit of power is the watt (W)

2. A block of mass 5 kg is there on a smooth inclined plane which is making 30 degrees angle with the horizontal, And a hanging mass of 6 kg is attached with it by a string which passes through a pulley; the acceleration of the system is

  1. 4m/s-2 b)1.8m.s-2 c) 4.5m/s-2 d) 5m/s-2

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Solution: Let us see the fbd for the system


1721277875916

For acceleration, we can write the equation as


a=\frac{6g-5gsin30^{o}}{6+5}

\Rightarrow a=\frac{60-(50\times \frac{1}{2})}{11}=3.18ms^{-2}

Maths

1. If the mean and variance of five observations are \frac{24}{5} and \frac{194}{25} respectively and the mean of the first four observations is \frac{7}{2}, then the variance of the first four observations in equal to

a)\frac{4}{5} b)\frac{5}{4} c)\frac{3}{5} d)\frac{105}{4}

Solution: MEAN (Arithmetic Mean)

The mean is the sum of the value of each observation in a dataset divided by the number of observations.

Mean of the Ungrouped Data

If n observations in data are x1, x2, x3, ……, xn, then arithmetic mean \mathit{\bar x} is given by

\mathit{\bar x}=\frac{x_1+x_2+x_3+\ldots\dots +x_n }{n}=\frac{1}{n}\sum^{n}_{i=1}x_i

Variance and Standard Deviation

The mean of the squares of the deviations from the mean is called the variance and is denoted by σ2 (read as sigma square).

Variance is a quantity that leads to a proper measure of dispersion.

The variance of n observations x1 , x2 ,..., xn is given by

\sigma^{2}=\frac{1}{n} \sum_{i=1}^{n}\left(x_{i}-\bar{x}\right)^{2}

\bar{X}=\frac{24}{5} ; \sigma^2=\frac{194}{25}

Let the first four observations be \mathrm{x}_1, \mathrm{x}_2, \mathrm{x}_3, \mathrm{x}_4

Here, \frac{x_1+x_2+x_3+x_4+x_5}{5}=\frac{24}{5}

Also, \frac{\mathrm{x}_1+\mathrm{x}_2+\mathrm{x}_3+\mathrm{x}_4}{4}=\frac{7}{2}\Rightarrow \mathrm{x}_1+\mathrm{x}_2+\mathrm{x}_3+\mathrm{x}_4=14

Now from eqn -1

\mathrm{x}_5=10 Now, \sigma^2=\frac{194}{25}

\begin{aligned} & \frac{x_1^2+x_2^2+x_3^2+x_4^2+x_5^2}{5}-\frac{576}{25}=\frac{194}{25} \\ & \Rightarrow x_1^2+x_2^2+x_3^2+x_4^2=54 \end{aligned}

Now, the variance of the first 4 observations

\mathrm{Var}=\frac{\sum_{\mathrm{i}=1}^4 \mathrm{x}_{\mathrm{i}}^2}{4}-\left(\frac{\sum_{\mathrm{i}=1}^4 \mathrm{x}_{\mathrm{i}}}{4}\right)^2=\frac{54}{4}-\frac{49}{4}=\frac{5}{4}

2. If the general term of the first AP = 3n-5 and that of the second AP is 3n+5. Then the 50th term of AP where both the AP are added

a)155 b) 145 c) 300 d)150

Solution: As we learned,

Properties of an AP:

If a_{1},a_{2},a_{3}\: \: and\: b_{1},b_{2},b_{3} are two APs,

then a_{1}+ b_{1},a_{2}+ b_{2,}a_{3}+ b_{3} is also an AP.

In this Question,

T_n=3n+5+3n-5= 6n

T_{50}=6\times 50=300

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Questions related to JEE Main

Have a question related to JEE Main ?

To get above 200+ you have to answer at least 50 questions correctly and for answering those 50 questions you need to be good in more than 35 chapters. So below the name of chapters are given which are easy:

SCORING GOOD MARKS IN JEE MAINS CHAPTER

it's important to note that a highest chapter alone might not be enough for students with a weaker foundation, and consistent study throughout the year is generally recommended for optimal results.

Good luck for your JEE mains!!

Here is your Previous Year Questions (PYQs) for JEE mains

It is significantly helps in JEE Mains preparation as it allows students to familiarize themselves with the exam pattern, question types, difficulty level, and important topics, ultimately improving their chances of scoring well in the exam by enhancing speed, accuracy, and understanding of the concepts tested.

Moreover,A crash course for JEE Mains 2025 FREE can be beneficial for students who need to quickly revise key concepts and practice important questions in a short time frame, particularly if they are already familiar with the syllabus but want to fine-tune their preparation before the exam.so you can give it a try to score good marks in JEE.

Good luck!!

To crack JEE Mains 2025 , focus on high-weightage chapters in Physics, Chemistry, and Mathematics . Here's a short list for each subject:

Physics

  1. Mechanics
    • Laws of Motion
    • Work, Power, and Energy
    • Rotational Motion
  2. Thermodynamics
  3. Electricity and Magnetism
    • Electrostatics
    • Current Electricity
    • Magnetic Effects of Current and Magnetism
  4. Optics
  5. Modern Physics

Chemistry

Physical Chemistry:

  • Mole Concept
  • Thermodynamics
  • Chemical Kinetics
  • Atomic Structure
  • Equilibrium

Organic Chemistry:

  • General Organic Chemistry (GOC)
  • Hydrocarbons
  • Alcohols, Phenols, and Ethers

Inorganic Chemistry:

  • Periodic Table
  • Chemical Bonding
  • Coordination Compounds

Mathematics

  1. Algebra
    • Quadratic Equations
    • Matrices and Determinants
    • Complex Numbers
  2. Calculus
    • Limits, Continuity, and Differentiability
    • Application of Derivatives
    • Definite and Indefinite Integrals
  3. Coordinate Geometry
    • Straight Lines
    • Circles
    • Parabola, Ellipse, and Hyperbola
  4. Probability and Statistics
  5. Vector Algebra and 3D Geometry

Strategy:

  • Prioritize NCERT books for theory and clarity.
  • Practice problems from previous years' JEE papers and mock tests.
  • Master formulas, derivations, and key concepts.

and all resources of jee main are present on careers360.

Hello

Accessing and practicing previous years JEE Main question papers is a strategic approach to enhance your preparation.

Here are some last 10 years Jee mains paper with solution

Regular practice with these past papers will familiarize you with the exam pattern , question types and difficulty levels , thereby boosting your confidence and performance in the actual exam .

These are excellent for practice and understanding the exam pattern.

ALL THE BEST

After clicking the Download button, a link to access the sample JEE sample book will be sent to your registered email ID. Simply check your inbox for an email from mailer@careers360.org . Click the provided link, and the sample question paper will begin downloading to your device.

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