JEE Main 2025 January 28 Shift 1 Question Paper with Solutions - PDF Link

JEE Main 2025 January 28 Shift 1 Question Paper with Solutions - PDF Link

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Shivani PooniaUpdated on 04 Feb 2025, 06:11 PM IST
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JEE Main 2025 January 28 Shift 1 Question Paper with Solutions - JEE Main plays a significant role in shaping the future of aspiring engineers in India. The January 28 Shift 1 paper for JEE Main 2025 will offer valuable feedback on the types of questions, the level of difficulty, and how to approach various subjects effectively. As the JEE Mains exam continues to adapt, candidates can anticipate a test that not only evaluates their knowledge but also their critical thinking and problem-solving abilities. JEE Main 2025 Jan 28 shift question paper will be an important reference for those aiming to excel in future shifts and for understanding the exam's evolving nature. JEE Main answer is released.

LiveJEE Mains 2026 Registration LIVE: NTA to begin application process soon at jeemain.nta.nic.in; exam date, feeOct 16, 2025 | 10:39 PM IST

Based on the registration trends from previous years, the JEE Main 2026 registration process is expected to begin in October, with the first session likely in January and the second session in April. The JEE Main previous years registration trend is given in the table below.

Exam Year

Registration start date

2025

October 28, 2024 

2024

November 1, 2023 

2023

December 15, 2022 

2022

March 1, 2022 

2021

December 16, 2020

Read More

This Story also Contains

  1. JEE Main 2025 January 28 Shift 1 Question Paper with Solutions ( Memory Based Questions)
  2. JEE Mains Previous Years Question Papers
  3. JEE Main Previous Year Analysis
  4. JEE Main 2025 Question Paper Analysis as per the previous year
JEE Main 2025 January 28 Shift 1 Question Paper with Solutions - PDF Link
JEE Main 2025 January 28 Shift 1 Question Paper with Solutions

JEE Main 2025 January 28 Shift 1 Question Paper with Solutions ( Memory Based Questions)

The JEE Main 2025 Jan 28 Shift 1 Question Paper and Solutions is accessible now. These documents will serve as a valuable tool for students appearing in future shifts, providing an opportunity to explore the questions and solutions in detail. This will help them familiarize themselves with the exam format, identify key topics, and fine-tune their approach for better results in the upcoming shifts.

28 Jan Shift 1

Q.1 If $\int_{-\pi / 2}^{\pi / 2} \frac{96\left(x^2+\cos x\right)}{1+e^x} d x=\alpha \pi^3+\beta$ (where $\alpha, \beta$ are positive integers), then $\alpha+\beta$ equal to

1) 144

2) 100

3) 64

4) 196

Q.2 The product $A$ and $B$ in the following reactions, respectively
(A) $\stackrel{\mathrm{AgNO}_2}{\longleftrightarrow} \mathrm{CH}_3 \mathrm{CH}_2 \mathrm{CH}_2 \mathrm{Br}_2 \xrightarrow{\mathrm{AgCN}} \mathrm{B}$
(A) $\mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{ONO}, \mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{CN}$
(B) $\mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{NO}_2, \mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{NC}$
(C) $\mathrm{CH}_3-\mathrm{CH}_2 \rightarrow+\mathrm{CH}_2-\mathrm{NO}_2, \mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2 \mathrm{CN}$
(D) $\mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{ONO}, \mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{NC}$

Q.3 The molecules having square pyramidal geometry are
(A) $\mathrm{SbF}_5 \& \mathrm{PCl}_5$
(B) $\mathrm{BrF}_5 \& \mathrm{XeOF}_4$
(C) $\mathrm{BrF}_5 \& \mathrm{PCl}_5$
(D) $\mathrm{SbF}_5 \& \mathrm{XeF}_4$

Q.4 The incorrect decreasing order of atomic radii is
(A) $\mathrm{Si}>\mathrm{P}>\mathrm{Cl}>\mathrm{F}$
(B) $\mathrm{Mg}>\mathrm{Al}>\mathrm{C}>0$
(C) $A l>B>N>F$
(D) $\mathrm{Be}>\mathrm{Mg}>\mathrm{Al}>\mathrm{Si}$

Q.5 A uniform wire of linear charge density $\lambda$ is placed along $y$-axis. The locus of equipotential surface is

$1 \quad x^2+y^2+z^2=$ constant
$2 \quad x^2+z^2=$ constant

$3 \quad x y z=\text { constant }$
$4 \quad x y+y z+z x=\text { constan }$

Q.6 Q. Number of ways to form 5 digit numbers greater than 50000 with the use of digits $0,1,2,3$, 5, 6,7 such that sum of first and last digit is not more than 8 , is equal to
$1 \quad 5119$
2 5120
3 4067
4 4068

Q.7 Consider the following element in In $\mathrm{TI}, \mathrm{Al}$, and Pb The most stable oxidation states of elements with highest and lowest first Ionisation enthalpies, respectively are
(A) +4 and +1
(B) +2 and +3
(C) +4 and +3
(D) +1 end +4

Q.8 $\frac{x-1}{2}=\frac{y-2}{5}=\frac{z-3}{6}$. Image of point $(2,3,4)$

Q.9 Q. Which of following reaction is correct? (Where symbols have their usual meanings)
$1 \quad n \rightarrow p+e^{-}+\mathrm{v}$
$2 \quad n \rightarrow p+e^{+}+v$
$3 \quad n \rightarrow p+c^{+}+\bar{v}$
$4 \quad n \rightarrow p+e^{-}+\bar{v}$

Q.10 $\int_0^x t f(t) d t=x^2 f(x), f(2)=3, f(6)=?$

Q.11 If $f(x)=\frac{2^x}{2^x+\sqrt{2}}, x \in R$, then $\sum_{k=1}^{81} f\left(\frac{k}{82}\right)$ is equal to
a) $81 \sqrt{2}$
b) 82
c) $\frac{81}{2}$
d) 41

Q.12 Two disc of radius $R$ and $2 R$ having moment of inertia $I_1$ and $I_2$ respectively. Find $I_1 / I_2$.

Q.13 $\int_{-\pi / 2}^{\pi / 2} \frac{96 x^2 \cos x^2}{1+e^x} d x$

Q.14 Area of region $\left\{(x, y): 0 \leq y \leq 2|x|+1,0 \leq y \leq x^2+1,|x| \leq 3\right.$
a) $\frac{17}{3}$
b) $\frac{32}{3}$
c) $\frac{64}{3}$
d) $\frac{80}{3}$

Q.15 The relation $R=\{(x, y) \mid x, y \in z, x+y=e v e n\}$ then $R$ is
(a) Equivalence
(b) Reflexive \& Transitive but-not Symmetric
(c) Symmetric \& Transitive but not reflexive
(d) Reflexive \& symmetric but not transitive

Q.16 $\left[\frac{\text { Modulus of rigidity }}{\text { Torque }}\right]=\mathrm{M}^{\prime} \mathrm{L}^{-3} \mathrm{~T}^c$. Find the value of C .

Q.17 $\begin{gathered}\int_0^x t f(t) d t=x^2 f(x) \\ f(2)=3, f(6)=?\end{gathered}$

Q.18 A coin is placed at the bottom of a hemispherical container filled with a liquid of refractive index $\mu$. Find the least refractive index if the coin is visible to an observer at $E$.

$\begin{array}{ll}1 & \sqrt{3}\end{array}$
$2 \quad\sqrt{2}$
$3 \quad \frac{8}{2}$
$4 \quad3 \sqrt{2}$

Q.19 Find co-ordinate of center of mass of given rectangular plate, given surface mass density $\sigma=\sigma_0 \frac{x}{a}$.

Q.20 If $\int_0^x t f(t) d t=x^2 f(x)$ and $f(2)=3$, then $f(6)$ equals to
$1 \quad 1$

2 6
$3 \quad 3$

4 2

Q.21 In the given figure, the square and the triangle have same resistance per unit length. Find the ratio of their resistances about adjacent corners.

1 32/27

2 27/32
$3 \quad 8 / 9$
$4 \quad 9 / 8$

Q. 22. Assertion : Work done by central force is independent of path. Reason : Potential energy is associated with every force.

1 Both Assertion and Reason are correct

2 Assertion is correct, Reason is incorrect

3 Assertion is incorrect, Reason is correct

4 Both Assertion and Reason are incorrect

Q.23 There is a smooth ring of radius $R$ in the vertical plane. A spring of natural length $R$ and elastic constant $K$ is vertical across along a diameter. The free end is connected to a bead of mass $m$ and when slightly disturbed it reaches point $C$ with speed where $V$ is

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JEE Main Previous Year Analysis

Let’s take a look at the previous year analysis:

Physics:

  • Topics like Mechanics, Thermodynamics, Modern Physics, and Electrostatics are featured prominently.

  • The difficulty level ranged from moderate to tough, with some lengthy calculations and tricky conceptual questions.

JEE Main 2026: Preparation Tips & Study Plan
Download the JEE Main 2026 Preparation Tips PDF to boost your exam strategy. Get expert insights on managing study material, focusing on key topics and high-weightage chapters.
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Mathematics:

  • Algebra, Calculus, and Coordinate Geometry were the key areas covered, with Calculus presenting some of the most difficult problems.

  • A few questions in the paper required students to apply multiple concepts, increasing the level of complexity.

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Chemistry:

  • Physical Chemistry focuses on concepts such as Chemical Kinetics, Thermodynamics, and Mole Concepts.

  • Organic Chemistry had straightforward questions, especially regarding reaction mechanisms and functional groups.

  • Inorganic Chemistry was mostly conceptual, with questions centered around periodic properties and coordination compounds.

JEE Main 2025 Question Paper Analysis as per the previous year

Based on the analysis of previous years, the JEE Main 2025 January 28 Shift 1 exam is anticipated to have a moderate overall difficulty level. Mathematics is likely to be the toughest section, with a significant focus on Calculus and Algebra, which may present more complex challenges. Physics is expected to be challenging as well, with topics like Mechanics and Electromagnetism leaning towards moderate difficulty. While all sections will require thorough preparation, Mathematics is likely to stand out as the most demanding. A solid understanding of Organic Chemistry concepts and reactions is also crucial for performing well in the Chemistry section.

JEE Main Syllabus: Subjects & Chapters
Select your preferred subject to view the chapters

Frequently Asked Questions (FAQs)

Q: What is the exam pattern for JEE Main 2025?
A:

Paper 1 is for B.E./B.Tech, and Paper 2 is for B.Arch/B.Planning, with MCQs and numerical questions.

Q: What is the eligibility criteria for JEE Main 2025?
A:

Candidates must have passed 10+2 with Physics, Chemistry, and Mathematics, and meet the required percentage criteria.

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Questions related to JEE Main

On Question asked by student community

Have a question related to JEE Main ?

Heya,

Yes, you can refill your category again. In the case of the April session JEE Main registration, you have the option to change your category while registering your details only once. You can switch from General to EWS if you have a proper certificate. Just be certain that the EWS certificate is granted before the last date of the April session form and complies with the NTA's requirements of validity.

Hope it helps!!!

Hello,

You can certainly get admission at DTU (Delhi Technological University) as the minimum requirement there is 60% aggregate in PCM. In such a case, you will be given admission to the top branches of CSE/ECE. Nevertheless, the case is totally different for IIT Hyderabad.

Admission into IITs is through JEE Advanced, and they require either a minimum of 75% in boards or to be in the top 20th percentile of the board for eligibility. But, if you fail to get 75% and happen to not be in the top 20th percentile, you can't get admission at IIT even if you have a good rank in JEE Mains.

Hope it helps!!!

Hello Tanishka,

Although i believe your attempting strategy and sequence depends entirely on your stage of preparation and your personal progress, i would suggest you sit for your January attempt even if you aim to seriously prepare for April.

Whatever stage of syllabus completion you are at, i suggest you give it a try to get an estimate of the exam difficulty and see roughly where you stand among the applicants that year. No matter how many mock tests you attempt, the actual examination environment happens to be very different from mock tests. The first attempt is going to give you an idea of the exam environment so you can prepare for your April attempt better.

All the best for your exams!

Hello Swati

Yes, your EWS certificate will be valid for JEE Main 2026 and counselling if it’s issued after April 1, 2025.
This is because EWS certificates are valid for one financial year from April to March.
So, a certificate made in October 2025 will be for FY 2025–26, which covers both JEE and counselling. You’ll need the certificate number during JEE registration in October 2025.
Even if you don’t have it yet, you can still register and upload it later during counselling. Just make sure the certificate clearly mentions the correct financial year.
Always keep a few extra copies and the original ready for verification.
You're good to go if it’s issued after April 1, 2025

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