JEE Mains 2025 January 22 Shift 2 Question Paper with Solutions Available

JEE Mains 2025 January 22 Shift 2 Question Paper with Solutions Available

Shivani PooniaUpdated on 04 Feb 2025, 06:05 PM IST

The JEE Main 2025 January 22 Shift 2 Exam just got over! The paper was moderately difficult. As the JEE Main January 22 Shift 2 exam is over, students can now check a comprehensive answer and question of the paper in terms of question distribution and section-wise weightage here on this page. The JEE Main 2025 January 22 Shift 2 Question Paper PDF and the solution key for this paper is compiled and ready, thus helping students who took the test in preparing and revising.JEE Main answer key is released.

LiveJEE Mains 2026 Registration LIVE: NTA to begin application process soon at jeemain.nta.nic.in; exam date, feeOct 16, 2025 | 5:44 PM IST

Candidates can check the JEE cut-off 2025 in the table below.

Category

JEE Mains cutoff 2025

General

93.1023262

Persons with Disability

0.0079349

EWS

80.3830119

OBC-NCL

79.4313582

SC

61.1526933

ST

47.9026465


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This Story also Contains

  1. JEE Main 2025 January 22 Shift 2 Exam Pattern and Structure
  2. JEE Main January 22 Shift 2 Memory-based questions
  3. Previous Years Question Paper
  4. JEE Main 2025 January 22 Shift 2 Analysis
  5. Trends and Overall Analysis
JEE Mains 2025 January 22 Shift 2 Question Paper with Solutions Available
JEE Mains 2025 January 22 Shift 2 Question Paper with Solutions

JEE Main 2025 January 22 Shift 2 Exam Pattern and Structure

Total Duration3 hours (180 minutes)
Total Questions75 questions
Maximum Marks300 marks
Medium of ExamAvailable in 13 languages
Mode of ExamComputer Based Test (CBT)
Question TypeMCQs and Numerical Value Based

JEE Main January 22 Shift 2 Memory-based questions

Q. if $2 x^2+(\cos \theta) x-1=0 \quad \theta \in[0,2 \pi]$ has roots $\alpha+\beta$. Then the sum of maximum and minimum value of $\alpha^4+\beta^4$ is

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

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

(1) $\mathrm{ClO}^{-}$

(2) $\mathrm{ClO}_2^{-}$

(3) $\mathrm{ClO}_3^{-}$

(4) $\mathrm{ClO}_4^{-}$

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 $20 \mathrm{~m} / \mathrm{s}$ 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 $\theta \in(0,2 \pi]$ satisfying the system of equations $2 \sin ^2 \theta=\cos 2 \theta$ and $2 \cos ^2 \theta=3 \sin \theta$. Then the sum of all real values of $\theta$ is

$\begin{array}{cc}1 & \frac{3 \pi}{2} \\ 2 & \pi \\ 3 & \frac{\pi}{2} \\ 4 & \frac{5 \pi}{6}\end{array}$

Q. Arrange according to CFSE.
(i) $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4\right]^{2+}$
(ii) $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+}$
(iii) $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{2+}$
(iv) $\left[\mathrm{Co}(\mathrm{en})_3\right]^{3+}$

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.

Q. The maximum percentage error in the measurement of density of a wire is

$
\begin{aligned}
& m=(0.60 \pm 0.003) \mathrm{g} \\
& r=(0.50 \pm 0.01) \mathrm{cm} \\
& l=(10.00 \pm 0.05) \mathrm{cm}
\end{aligned}
$

Q. If the mean deviation about median for the number $3,5,7,2 \mathrm{k}, 12,16,21,24$ arranged in ascending order is 6 then the median is

Q. Assertion:- simple pendulum is taken on a planet of mass 4 times of earth and radius 2 time of earth then the time period is remains constant
Reason:- Time period of simple pendulum is constant on earth and on any other planet

Q. Let $A=\{1,2,3,4\}$ and $B=\{1,4,9,16\}$.
If $f: A \rightarrow B$, then number of many-one functions from $A$ to $B$ are

Q. 4 boys and 3 girls are to be seated in a row that all girl seat together and two particular boys $B_1$ and $S_2$ are not adjecent to each other. Then the number of ways in which this aseagerpent can be done
4) 432
b) 430
c) 516
d) 1002

Q. $\sum_{r=1}^{30} \frac{r^2\left({ }^{30} C_r\right)^2}{{ }^{30} C_{r-1}}=\alpha \times 2^{29}$, then $\alpha=$

Q. which of the following anion will not undergoes disproportionation?

a) $\mathrm{ClO}_4^{-}$

b) $\mathrm{ClO}_3^{-}$

c) $\mathrm{ClO}_2^{-}$

d) $\mathrm{ClO}^{-}$

1737552265064

Previous Years Question Paper

Below are the past years question paper that can help you prepare better for JEE Main 2025 January 22 Shift 2 Exam.

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

JEE Main 2025 January 22 Shift 2 Analysis

JEE Main 2025 Paper : Memory Based Questions and Analysis of 22nd January (Shift-1)Download now
JEE Main 2025 Paper : Memory Based Questions and Analysis of 22nd January (Shift-2)Download now

Mathematics Section

The Mathematics section for Shift 2 focused on problem-solving and concept mastery approaches. Key topics that was include:

  • Calculus: 30-35% weightage was given to these topics and includes topics such as complex integration, differential equations continuity, and differentiability.
  • Algebra: About 30%, it is recommended to the students to pay attention to matrices, determinants, and quadratic equations for next shift.
  • Coordinate Geometry: 20%,
  • Vectors and 3D Geometry: 15%
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In general, this section was Moderate, and it contained a good number of theoretical and practical questions.

Physics Section

In Physics, there is a stronger bias towards mechanics and electromagnetism in the section as well. The major topic distribution included:

  • Mechanics: 35 %
  • Electromagnetism: 30% detailing on electric fields, electricity circuits, and magnetic effects of current.
  • Modern Physics: radioactivity and the atomic models being 20%.
  • Thermodynamics: 15%, with questions related to application in such areas as heat transfer and the law of thermodynamics being tested in an application-based question.
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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It is considered moderately challenging. The JEE Main 2025 22 Jan shift 2 paper and the JEE Mains 2025 question paper pdf shift 2 will help students practice time-bound questions effectively.

Chemistry Section

The Chemistry section was easy, with the following distribution:

  • Organic Chemistry: 40%
  • Physical Chemistry: 35%, specifically chemical kinetics, thermodynamics, and chemical equilibria.
  • Inorganic Chemistry 25%.

Trends and Overall Analysis

The overall difficulty level of the paper is moderate, with Mathematics and Physics being relatively more challenging than Chemistry. Questions across all sections adhered to the NCERT syllabus, combining theoretical knowledge with practical application. For optimal preparation, students should utilize both the JEE Mains 22 January shift 2 question paper analysis and the JEE Mains 2024 question paper pdf.

Frequently Asked Questions (FAQs)

Q: When will the JEE Main 2025 January 22 Shift 2 Question Paper and Solutions be available?
A:

The JEE Main 2025 January 22 Shift 2 Question Paper and Solutions is available on this page. These resources will help students evaluate their performance and enhance their preparation for subsequent shifts and the April session.

Q: What was the difficulty level of the JEE Main 2025 January 22 Shift 2 Exam?
A:

The JEE Main 2025 January 22 Shift 2 exam was of moderate level. While Mathematics and Physics are more challenging, particularly in topics such as Calculus and Mechanics, Chemistry was the easiest section, with a focus on Organic Chemistry and factual questions from NCERT texts.

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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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