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JEE Main 2025 January 29 Shift 1 Question Paper with Solutions Available - Download PDF
Edited By Shivani Poonia | Updated on Feb 04, 2025 06:13 PM IST | #JEE Main
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
This Story also Contains
- JEE Main 2025 January 29 shift 1 Examination Pattern and Structure
- JEE Main 2025 January 29 Shift 1 Question Paper with Solutions (Memory Based)
- JEE Main 2025 Question Paper with Solutions (Last 3 Days)
- JEE Main 2025 January 29 Shift 1 Question Paper -Difficulty Level
- JEE Main 2025 Question Paper Analysis as per the previous year
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 Question Paper with Solutions (Last 3 Days)
For those students who prefer digital utility, they can download the JEE Main 2025 Question Paper PDF.
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 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)
1. How long is the JEE Main 2025 January 29 Shift 1 exam?
The exam took 3 hours (180 minutes).
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Questions related to JEE Main
Have a question related to JEE Main ?
With 64 percentile and a CRL rank around 5.4 lakh in JEE Mains 2025, getting admission in any NIT or IIIT is very unlikely, especially in the general category. Most NITs close their admissions below a rank of 1.5 lakh, and even the newer NITs usually fill seats by around 3 to 3.5 lakh rank. IIITs generally have closing ranks below 3 lakh.
Instead, you can try for state government engineering colleges through your state counselling or look for private engineering colleges that have lower cutoff ranks. Another option is to explore management quota or direct admission routes if available.
harsh singh 05 June,2025
HEY THERE!!!
- Given a JEE B.Arch rank of approximately 30,000 in the general category, gaining admission to DCRUST for B.Arch is, frankly ,not feasible .
- The university’s recent cutoffs are far more competitive; for instance, the round 1 cutoff for the general category in 2024 was only 36.
- Your rank is significantly above this threshold, so admission to DCRUST with your current standing is highly improbable.
- It would be advisable to explore alternative institutions or consider other academic pathways.
Tanisha chaudhary 05 June,2025
Hello Aspirant,
If your B.Arch rank is approximately 30,000 in JEE in general category, it might not be easy to get admission into DR-CUET (Delhi Regional Centre of the Central University of Technology) or comparable or significantly better institutions, and therefore, the cut-off is much earlier for general candidates in good reputation colleges at about a range of 5000-15,000 rank. That said, you may still have a chance at newer or even less reputed NITs, SPAs, or GFTIs as an option at JOSAA or CSAB; you are recommended to apply in all rounds of counselling, keep open state-level architecture colleges too, and explore private universities that are accepting NATA or JEE B.Arch scores.
gopi 05 June,2025
With a JEE B.Arch rank of 30,000, getting admission in DCRUST is not possible because their cutoff ranks are much lower and they mainly consider NATA scores, not JEE Paper 2.
You can try these options instead:
Apply to other colleges accepting NATA scores.
Consider management quota seats in private colleges.
Prepare and appear for NATA exam for better chances.
harsh singh 05 June,2025
With a JEE Advanced rank of 20,340, your son can likely get admission in newer IITs like IIT Bhubaneswar, Gandhinagar, Ropar, Mandi, Indore, Patna, or Jodhpur, mostly in less competitive branches.
Top IITs and popular branches like CS or ECE are unlikely.
harsh singh 05 June,2025
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