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
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Total Duration |
3 hours (180 minutes) |
|
Total Questions |
75 questions |
|
Maximum Marks |
300 marks |
|
Medium of Exam |
Available in 13 languages |
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Mode of Exam |
Computer Based Test (CBT) |
|
Question Type |
MCQs and Numerical Value 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)
$1 \quad 1$
$2 \quad 3$
$3 \quad 2$
$4 \quad 4$
For those students who prefer digital utility, they can download the JEE Main 2025 Question Paper PDF.
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 |
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.
The exam took 3 hours (180 minutes).
Top NITs – No chance.
New NITs (like Mizoram, Nagaland) – Very slim chance in low-demand branches.
Top IIITs – No chance.
New IIITs – Very difficult, almost no chance.
Tip: Try for state government colleges through JEE Main too.
Since you’ve qualified JEE Mains Paper 2 but not Paper 1, you cannot apply for JEE Advanced directly, as the eligibility for JEE Advanced requires candidates to have qualified JEE Mains Paper 1 .
Eligibility for JEE Advanced : You must qualify Paper 1 of JEE Mains, which is the entrance exam for JEE Advanced . Paper 2 is for B.Arch aspirants and does not affect eligibility for JEE Advanced.
Which Score is Counted : For JEE Advanced , only the Paper 1 score is considered, and it’s used to determine your eligibility for the exam.
You may be able to apply for other B.Arch colleges based on your Paper 2 result, but for JEE Advanced, you would need to clear Paper 1 in a future attempt.
Cleared only Paper 2 in JEE mains
With 56 percentile in JEE Mains 2025, your estimated All India Rank would be around 4.8 to 5.5 lakh.
For B.Tech in Electrical Engineering at SATI Vidisha, based on previous years’ trends:
The closing ranks for Electrical Engineering were around 4.3 lakh in 2024.
In 2023, the closing rank was tighter, around 2.3 lakh.
This means your chances are borderline.
You might get admission if:
You belong to a reserved category (SC/ST/OBC/EWS).
You have a home state advantage (Madhya Pradesh).
With a 56 percentile in JEE Mains, admission to a BTech in Electrical Engineering at SATI Vidisha may be challenging, as the cutoff typically varies based on the category and the number of applicants. It’s advisable to check the official cutoff for the specific year.
With an EWS rank of 17,695 in JEE Main, it is unlikely to secure a seat in top NITs for popular branches like CSE or ECE. However, you may have a chance in newer or lower-demand branches at NITs. It depends on the specific institute and the seat allocation process.
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