JEE Main 2025 January 29 Shift 1 Question Paper with Solutions Available - Download PDF

JEE Main 2025 January 29 Shift 1 Question Paper with Solutions Available - Download PDF

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JEE Main Application Date:31 Oct' 25 - 27 Nov' 25

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Shivani PooniaUpdated on 04 Feb 2025, 06:13 PM IST
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JEE Main 2025 January 29 Shift 1 Question Paper And Solutions - JEE Main is one of the most crucial exams for aspiring engineers in India. The January 29 Shift 1 paper for JEE Main 2025 will provide important insights into the types of questions, the level of difficulty, and effective strategies for approaching various subjects. JEE Main 2025 January 29 Shift 1 question paper with solution has updated on this page. We are providing JEE Main Jan 29 shift 1 question paper with solutions based on students’ reactions.JEE Main answer key is released.
Also Read: JEE Main 2025 Jan 29 Shift 2 Question Paper | JEE Main 2025 Jan 29 Shift 1 Answer Key | JEE Main 2025 Jan 29 Shift 2 Answer Key

LiveJEE Main 2026 Registration LIVE: NTA revises session 2 exam dates; application form active for session 1Nov 6, 2025 | 4:05 PM IST

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This Story also Contains

  1. JEE Main 2025 January 29 shift 1 Examination Pattern and Structure
  2. JEE Main 2025 January 29 Shift 1 Question Paper with Solutions (Memory Based)
  3. JEE Main 2025 Question Paper with Solutions (Last 3 Days)
  4. JEE Main 2025 January 29 Shift 1 Question Paper -Difficulty Level
  5. JEE Main 2025 Question Paper Analysis as per the previous year
JEE Main 2025 January 29 Shift 1 Question Paper with Solutions Available - Download PDF
JEE Main 2025 January 29 Shift 1 Question Paper And Solutions

JEE Main 2025 January 29 shift 1 Examination Pattern and Structure

Total Duration

3 hours (180 minutes)

Total Questions

75 questions

Maximum Marks

300 marks

Medium of Exam

Available in 13 languages

Mode of Exam

Computer Based Test (CBT)

Question Type

MCQs and Numerical Value Based

JEE Main 2025 January 29 Shift 1 Question Paper with Solutions (Memory Based)

Once the JEE Main 2025 Shift 1 exam is completed, the question paper and solutions is published on this page. These materials will be essential for candidates taking later shifts, offering them a comprehensive overview of the exam format and difficulty level. By reviewing the questions and solutions, they can identify important concepts, practice problem-solving techniques, and better prepare for the upcoming exams.

We are providing the live sessions for JEE main January 29 shift 1 overall exam analysis memory-based.

29 Jan shift 1

Q.1 Which of the following is animal starch?

1 Glycogen
2 Lactose

3 Amylopectin

4 Amylose

Q.2 Assertion: At the peak of the mountain, time period of the pendulum increases. Reason: Time period of the pendulum increases with a decrease in $g$.

1 Assertion is correct, Reason is incorrect
2 Assertion is incorrect, Reason is correct

3 Assertion is incorrect, Reason is incorrect
4 Assertion is correct, Reason is correct

Q.3 Q. The velocity of a particle moving on a straight line varies with time as $v=A t^2+\frac{B t}{C+t^{\prime}}$, where $A, B$, $C$, are constants. Find the dimension of $A B C$.
$1 \quad \mathbf{L}^2 \mathrm{~T}^{-2}$
$2 \quad \mathrm{~L}^2 \mathrm{~T}^{-1}$
$3 \quad \mathrm{~L}^2 \mathrm{~T}^{-3}$
$4 \quad \mathrm{LT}^{-3}$

Q.4 $80 \int_0^{\frac{\pi}{2}} \frac{\sin x+\cos x}{9+16 \sin 2 x} d x$

Q.5 Statement-1 : Correct order of ionic radius for $\mathrm{Mg}^{2+}, \mathrm{Na}^{+}, \mathrm{O}^{2-} \& \mathrm{~F}^{-}$is $\mathrm{F}^{-}>\mathrm{O}^{2-}>\mathrm{Na}^{+}>\mathrm{Mg}^{2+}$

Statement-2 : Correct order of magnitude of gain Enthalpy for $17^{\text {th }}$ group follows order $\mathrm{Cl}>\mathrm{F}>\mathrm{Br}>\mathrm{I}$ (Magnitude only)

1 Both Statement-1 \& Statement-2 are correct
2 Statement-1 is correct \& Statement-2 is incorrect
3 Both Statement-1 \& Statement-2 are incorrect
4 Statement-1 is incorrect \& Statement-2 is correct

Q.6 $\bar{a}=2 i-j+3 k, \bar{b}=3 i-5 j+k$, if $\bar{a} \times \bar{c}=\bar{c} \times \bar{b}$ and $(\bar{a}+\bar{c}) \cdot(\bar{b}+\bar{c})=168$ then $|c|^2=$ $\qquad$

Q.7 $\lim _{n \rightarrow \infty} \sum_{k=1}^n \frac{k^3+6 k^2+11 k+5}{(k+3)!}$ is equal to

$1 \quad\frac{5}{3}$
$2 \quad \frac{8}{3}$

$3 \quad$ 3
$4 \quad \frac{7}{3}$

Q.8 $
\mathrm{L}_1=\frac{x-1}{1}=\frac{y-2}{-1}=\frac{z-1}{2}, L_2: \frac{x+1}{-1}=\frac{y-2}{2}=\frac{z}{1}=\mu
$
Let the line $L_3$ passes through the point $(\alpha, \beta, \gamma)$ perpendicular to $L_1 \& L_2$ and $L_3$ intersect line $L_1$ then $|5 \alpha-11 \beta-8 \gamma|$.

a) 25
b) 18
c) 16
d) 20

Q.9 Q. A pendulum of mass $\frac{m}{2}$ is released from given situation. Find speed of another pendulum after collision. $(e=1$ )
$1 \quad\sqrt{\frac{3}{2} g l}$
$2 \quad\frac{2}{3} \sqrt{g l}$
$3 \quad \sqrt{\frac{q l}{3}}$
$4 \quad \frac{1}{3} \sqrt{g l}$

Q.10 The velocity of a particle moving on a straight line varies with time as $\mathbf{v}=\mathrm{At}^{\mathbf{2}}+\frac{\mathrm{Bt}}{\mathrm{c}+\mathrm{t}^{\prime}}$ where $\mathrm{A}, \mathrm{B}, \mathrm{C}$, are constants. Find the dimension of $A B C$.
(A) $\mathrm{L}^2 \mathrm{~T}^2$
(B) $\mathrm{L}^2 \mathrm{~T}^1$
(C) $\mathrm{L}^2 \mathrm{~T}^{\mathbf{3}}$
(D) $\mathrm{LT}^{\mathbf{3}}$

Q.11 The minimum value of $\mathbf{n}$ for which the number of integer terms in the binomial expansion of $\left(7^{1 / 3}+11^{1 / 2}\right)^n$ is 183 , is

Q.12 The graph between wavelengths $(\lambda)$ of incident light and kinetic energy (K.E.) of photoelectrons in the photoelectric effect is

Q.13 A ball falling in a sea of depth 2.5 km shows $x$ \% decrease in its volume at the bottom. The bulk modulus of the material of the ball is $2 \times 10^9 \mathrm{~N} / \mathrm{m}^2$ value of $x$ is:

Q.14 Chromite ore $+\mathrm{Na}_2 \mathrm{CO}_3+\mathrm{O}_2 \longrightarrow$ insoluble product containing Fe
Calculate the molar mass of insoluble product formed. (Given : Molar mass of $\mathrm{Cr}=52 \mathrm{~g} / \mathrm{mol}, \mathrm{Na}$ $=23 \mathrm{~g} / \mathrm{mol}, \mathrm{Fe}=56 \mathrm{~g} / \mathrm{mol}, 0=16 \mathrm{~g} / \mathrm{mol})$

Q.15 Area enclosed by $y \geq|x-1|, y+|x| \leq 3, x^2 \leq 2 y-3$ is $A$, then $6 A$ is (in sq. units)

Q.16 River is flowing with velocity $9 \mathrm{~km} / \mathrm{hr}$. velocity of boat with respect to river is $\mathbf{2 7} \mathbf{~ k m} / \mathrm{hr}$ in the direction of flow of river. Person standing over this boat throw a ball vertically upward with respect to himself with velocity $\mathbf{1 0 ~ m} / \mathrm{s}$. Determine the horizontal displacement or range (in cm) till ball come to the same horizontal level from where it was proiected.

Q.17 Statement-1: Electromagnetic wave have both energy and momentum.

Statement-2: Rest mass of photon is zero.

1 Statement- 1 is correct, statement- 2 is correct
2 Statement- 1 is correct, statement- 2 is incorrect

3 Statement-1 is incorrect, statement-2 is correct
4 Statement-1 is incorrect, statement-2 is incorrect

Q.18 $\left|z_1-8-2 i\right| \leq 1$ and $\left|z_2-6+8 i\right| \leq 2$ then minimum value of $\left|z_1-z_2\right|$ is equal to

Q.19 Q. Two projectiles were launched from same position simultaneously only same speed on of the projectile was launched at angle $(45-\alpha)^{\circ}$ and the other at an angle of $(45+\alpha)^{\circ}$. Find the ratio of maximum height of the projectile.
$1 \quad\frac{1-\sin \alpha}{1+\sin \alpha}$
$2 \quad\frac{1-\sin 2 \alpha}{1+\sin 2 \alpha}$
$3 \quad\frac{1-\tan \alpha}{1+\tan \alpha}$
$4 \quad \frac{1-\cos \alpha}{1+\cos \alpha}$

Q.20 The minimum value of $n$ for which the number of integer terms in the binomial expansion of $\left(7^{1 / 3}+11^{1 / 2}\right)^n$ is 183, is

Q.21

Consider the following complexes

$$
\begin{aligned}
& {\left[\mathrm{Mn}(\mathrm{CN})_6\right]^{4-}\left[\mathrm{Fe}(\mathrm{CN})_6\right]^{4-}\left[\mathrm{Fe}(\mathrm{CN})_6\right]^{3-}\left[\mathrm{Co}(\mathrm{CN})_6\right]^{3-}} \\
& \begin{array}{lll}
\text { (1) } & \text { (2) } & \text { (3) } \text { (4) }
\end{array}
\end{aligned}
$$


Q.22 Correct order of CFSE ( $\Delta_0$ ) will be

$1 \quad 3>4>2>1$
$2 \quad 4>3>2>1$
$3 \quad 4>3>1>2$
$4 \quad 3>4>1>2$

Q.23 Q. What is the value of van't Hoff Factor for $A_2 B$ is $30 \%$ of $A_2 B$ is dissociated?
$1 \quad 1.60$
$2 \quad 1.30$
$3 \quad 1.50$
$4 \quad 1.20$

Q.24 Find the order of the reaction

$$
A+B \rightarrow F
$$

if the mechanism of the reaction is given below:
Step 1: A + B $\rightarrow$ D (slow)
Step 2: $\mathrm{D} \rightarrow \mathrm{C}+\mathrm{E}$ (fast)
Step 3: C + E $\rightarrow$ F (fast)
$1 \quad 1$
$2 \quad 3$
$3 \quad 2$
$4 \quad 4$

JEE Main 2025 January 29 Shift 1 Question Paper -Difficulty Level

Based on the previous 3 days' analysis the JEE Main question paper is overall moderate level.

Students should read NCERT for chemistry because chemistry questions are directly asked from NCERT. For Physics formula questions should be practiced, Maths is lengthy and time-consuming.

Dates

Difficulty -Level

22 January Shift 1 and 2

Chem-Easy to Moderate

Phy- Moderate

Maths- Lengthy And Difficult

23 January Shift 1 and 2

Chem- Lengthy

Phy- Moderate

Math- Difficult

24 January Shift 1 and 2

Chem-Easy ( few questions Tough)

Phy-Easy

Math- Tough

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

JEE Main 2025 Question Paper Analysis as per the previous year

The JEE Main 2025 January 29 Shift 1 exam may possibly have a moderate level to difficulty. Physics is anticipated to be moderately difficult as per the previous year's analysis with key areas such as Mechanics and Electromagnetism posing a higher level of complexity. While Physics will require a strong conceptual understanding, Mathematics will likely demand more time and problem-solving skills. Chemistry, particularly Organic Chemistry, is expected to be relatively easier, but a solid grasp of key reactions and mechanisms will be essential for securing good marks in this section.

Frequently Asked Questions (FAQs)

Q: How long is the JEE Main 2025 January 29 Shift 1 exam?
A:

The exam took 3 hours (180 minutes).

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Questions related to JEE Main

On Question asked by student community

Have a question related to JEE Main ?

Hello Aspirant

As you are preparing for JEEMains and you want to practice the PYQs, it is a good choice as NTA mainly follows the same pattern, and some questions are repeatedly asked. To get the most repeated question, just visit the link I'm attaching below.

https://engineering.careers360.com/articles/most-repeated-questions-in-jee-mains-comprehensive-analysis

The form requires the candidates to upload the signature in JPEG format within 10-100KB format, if this condition is not fulfilled the photo will not get uploaded. Assistance from an e-mitra might be needed or you may choose to convert the sizes and the types of your documents from various converting applications available

to get details about registration and avoid getting confused follow the link below from careers360 How to fill JEE Main Application Form 2026? – Steps to Apply Online

You can look up to the syllabus released by the NTA for the 2026 examination available in pdf form at careers360 from the link given below, you will get all the deleted syllabus and the additional added syallabus in the pdf itself JEE Main 2026 Syllabus (Out): Download Paper 1, 2 PDF Here

Hello, You want to get 99 percentile in JEE Mains, for this you should prepare very well.

I am providing you the link of a book to help you in your preparation, you will get everything in it to score well in JEE Mains.

Here is your link: CLICK HERE

You can download the ebook directly by clicking on "CLICK HERE".

I hope you found this information helpful and for any study related problems you can ask in careers360 app, Have a great day!

Hello,

JEE Main ke 75% eligibility ke liye marks calculation board ke total marks (as printed on marksheet) par based hoti hai, best of 5 nahi.
Agar aapke marksheet me total 355/500 likha hai, to wahi valid mana jayega.
Isliye agar ye 75% se kam hai, to aap JEE Main de sakte ho, par NIT, IIIT, ya GFTI admission ke liye eligible nahi hoge, unless aap SC/ST category se ho (unke liye 65% required hai).

Hope you understand.