JEE Main 2025 January 28 Shift 2 Question Paper with Solutions Available - Download PDF

JEE Main 2025 January 28 Shift 2 Question Paper with Solutions Available - Download PDF

Edited By Shivani Poonia | Updated on Feb 04, 2025 06:12 PM IST | #JEE Main
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Looking for JEE Main 2025 January 28 Shift 2 Question Paper?

JEE Main 2025 January 28 Shift 2 Question Paper is out now! We will provide you with the JEE Mains 2025 Jan 28 shift 2 question papers with solutions after the exam in the official youtube channel also for all 3 subjects - Physics, Chemistry, and Mathematics. Memory based questions are given below to better understand the JEE exam pattern and improve your preparation strategy for April shift and remaining JEE Main exams. Download the question paper and solutions in PDF format for free below!

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JEE Main 2025 January 28 Shift 2 Question Paper with Solutions Available - Download PDF
JEE Main 2025 January 28 Shift 2 Question Paper with Solutions Available - Download PDF

JEE Main 2025 January 28 Shift 2 Question Paper with Solutions ( Memory based Questions)

JEE Main 2025 Shift 2 Question Paper with Solution will be available on this page after the conduction of the exam. However, these resources are crucial for candidates appearing in subsequent shifts and those preparing for the April session. This will help the students to prepare for the April session as well as the ones who have their exams on the other shifts.

28 Jan shift 2

Q.1 Consider the following oxides,

$\mathrm{V}_2 \mathrm{O}_3, \mathrm{~V}_2 \mathrm{O}_4 \text { and } \mathrm{V}_2 \mathrm{O}_5$
Change in oxidation state of vanadium when amphoteric oxide reacts with acids to form $\mathrm{VO}_4{ }^{+}$is

Q.2 Q. Bohr's model is applicable for single electron atom of atomic number Z. Dependency of frequency of rotation of electron in $n^{\text {th }}$ principal quantum number is proportional to
$1 \quad \mathrm{Z} / \mathrm{n}^2$
$2 \quad Z^2 / n^3$
$3 \quad n^3 / Z$
$4 \quad Z / n$

Q.3 Which has maximum oxidising power among the following
$1 . \mathrm{VO}_2{ }^*$
$2 . \mathrm{Cr}_2 \mathrm{O}_7{ }^{2-}$
$3 .\mathrm{MnO}_4^{-}$
$4 .\mathrm{TiO}_2$

Q.4 Let $f(x)=\int \frac{d x}{x^{1 / 4}\left(x^{1 / 4}+1\right)}$. If $f(0)=-6$, then $f(2)$ is
$1 \quad 4\left[\frac{1}{\sqrt{2}}-2^{1 / 4}+\ln \left|1+2^{1 / 4}\right|\right]-6$
$2 \quad 4\left[\frac{1}{\sqrt{2}}-2^{1 / 4}+\ln \left|1+2^{1 / 4}\right|\right]+6$
$3 \quad 4\left[\frac{1}{\sqrt{2}}+2^{1 / 3}+\ln \left|2^{1 / 4}\right|\right]-6$
$4 \quad 4\left[3+2^{1 / 3}-\ln 2^{1 / 4}\right]+6$

Q.5 No. of Paramagnetic species among the following is

$
\mathrm{O}_2, \mathrm{O}_2 \cdot, \mathrm{O}_2^{-}, \mathrm{NO}_2, \mathrm{NO}, \mathrm{CO}
$

Q.6 How many of the following molecules are polar?

$
\mathrm{CH}_4, \mathrm{CCl}_4, \mathrm{CH}_2 \mathrm{Cl}_2, \mathrm{H}_2 \mathrm{O}, \mathrm{NH}_3, \mathrm{H}_2 \mathrm{O}_2, \mathrm{O}_2 \mathrm{~F}_2
$

Q.7 In an electromagnetic wave, the magnetic field is given as $\vec{B}=\left(\frac{\sqrt{3}}{2} \hat{\imath}+\frac{1}{2} \hat{\jmath}\right) 30 \sin (\omega t-k z)$, the corresponding electric field is
$1 \quad\left(\frac{1}{2} \hat{\imath}+\frac{\sqrt{3}}{2} \hat{\jmath}\right) 9 \times 10^9 \sin (\omega t-k z)$
$2\left(\frac{1}{2} \hat{\imath}-\frac{\sqrt{3}}{2} \hat{\jmath}\right) 9 \times 10^9 \sin (\omega t-k z)$
$3\left(\frac{1}{2} \hat{\imath}+\frac{\sqrt{3}}{2} \hat{\jmath}\right) 9 \times 10^9 \cos (\omega t-k z)$
$4 \quad\left(\frac{1}{2} \hat{\imath}-\frac{\sqrt{3}}{2} \hat{\jmath}\right) 9 \times 10^9 \cos (\omega t-k z)$

Q.8 For concave mirror, distance between object and image $=20 \mathrm{~cm}$ and $m=-3$ find focal length

Q.9

Q. Evaluate

$
\sum_{r=1}^{13} \frac{1}{\sin \left[\frac{\pi}{4}+(r-1) \frac{\pi}{6}\right] \sin \left[\frac{\pi}{4}+\frac{r \pi}{6}\right]}
$

$1 \quad2 \sqrt{3}+2$
$2 \quad 2 \sqrt{3}-2$
$3 \quad 3 \sqrt{2}+2$
$4 \quad 3 \sqrt{2}-4$

Q.10 Bags $B_1, B_2, B_3$ contains 4 Blue, 6 white balls, 5 White 5 blue balls and 6 blue 4 white balls respectively. A bag is randomly selected and a ball is drawn. If the drawn ball is white then find the probability that $B_2$ bag was selected.

Q.11 $\begin{gathered}E=\left(\frac{\sqrt{3}}{2} i+\frac{1}{2} j\right) 30 \sin \left(\omega\left(t-\frac{z}{c}\right) j\right) \\ B=?\end{gathered}$

Q.12 If $x-(3-2 i) x-(2 i-2)=0$ has roots $\alpha+i \beta$ and $\gamma+i \delta$ find the value of $\alpha_y+\beta \delta$.

Q.13 Calculate the spin magnetic moment of $\mathrm{Mn}_2 \mathrm{O}_3$

Q.14 Which of the following compound(s) is/are yellow in colour?
(a) CdS, (b) PbS, (c) CuS, (d) ZnS (Cold), (e) $\mathrm{PbCrO}_4$

Choose the correct answer from the options given below:

Q.15 Consider the following oxides, $\mathrm{V}_2 \mathrm{O}_3, \mathrm{~V}_2 \mathrm{O}_4$, and $\mathrm{V}_2 \mathrm{O}_5$ Change in oxidation state of vanadium when amphoteric oxide reacts with acids to form $\mathrm{VO}_4$ is

1) 1

2) 2

3) 3

4) 4

Q.16 Find domain of $\sec { }^{\prime}(2[x]+1)$, where [.] denotes GIF.

Q.17 $\mathrm{CH}_3-\mathrm{C} \equiv \mathrm{CH} \xrightarrow[\mathrm{H}_2]{\text { e } \mathrm{Pd} / \mathrm{C}}(\mathrm{A}) \xrightarrow[\text { (ii) } \mathrm{Zn}, \mathrm{H}_2 \mathrm{O}]{\text { (i) } \mathrm{O}_3}(\mathrm{~B})+(\mathrm{C})$

Q.18 212,213,..........., 999
find no. of numbers in the sequence above whose sum of digits is 15 .

Q.19 Q. The correct order of energy of the following subshell
$\quad$ 1s $2 s \quad 3 p \quad 3 d$
$1 \quad 1 s<2 s<3 d<3 p$
$2 \quad 2 s<1 s<3 p<3 d$
$3 \quad 1 s<3 p<2 s<3 d$
$4 \quad 1 s<2 s<3 p<3 d$

Q.20 Q. The magnetic field $\vec{B}$ at the centre $O$ of the given arrangement is
$1 \quad \frac{+\mu_0 I}{8 \pi a}(3 \pi+2) \hat{k}$
$2 \quad \frac{-\mu_0 I}{8 \pi a}(3 \pi+2) \hat{k}$
$3 \quad \frac{+\mu_0 I}{8 \pi a}(3 \pi-2) \hat{k}$
$4 \quad \frac{-\mu_0 I}{8 \pi a}(3 \pi-2) \hat{k}$

Q.21 Find area enclosed by $x\left(y^2+1\right)$ and $y^2=2 x$.

Q.22 If $f(x)=\int \frac{d x}{x^{1 / 4}\left(x^{1 / 4}+1\right)^4 d x \& f(0)=1 \text {. find } f(2)=\text { ? }}$

Q.23 which of the group -15 element forms $\mathrm{d} \pi-\mathrm{d} \pi$ Bond and strongest basic hydride ?
(1) $z=7$
(2) $z=15$
(3) $z=33$
(4) $z=51$

Q.24 Q. Area bounded between the curves $C_1: x\left(1+y^2\right)-1=0$ and $C_2: y^2-2 x=0$ is (in sq. unit)
$1 \quad \frac{\pi}{2}-\frac{1}{3}$
$2 \quad \frac{\pi}{4}-\frac{1}{6}$
$3 \quad 2\left(\frac{\pi}{2}-\frac{1}{6}\right)$
$4 \quad \frac{\pi}{6}+\frac{1}{2}$

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JEE Mains Previous Years Question Paper

Improve your JEE Main preparation with previous years' question papers. Practice past year real exam questions, understand patterns, and boost accuracy. Access topic-wise solutions to identify strengths and weaknesses. Lets take a look at the previous years papers:

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Have a question related to JEE Main ?

Hey !

Based on previous years' cut-off data, a 3,000 rank in the JEE Main SC category corresponds to approximately the 95.46 percentile.

You also can use the JEE Main Percentile Predictor Tool to predict your percentile based on your score.

Hope you find it useful !

Hello student,

MCTE (Military College of Telecommunication Engineering) Indore offers B.Tech admissions through JEE Main under the Army Institute of Technology (AIT) category for wards of Army personnel.

If you belong to the Army background , you can apply through AIT Pune , which considers JEE Main scores. A 94 percentile in JEE Mains 2025 gives you a good chance. However, MCTE itself does not take direct civilian admissions for B.Tech.


I would recommend you to use JEE Mains College Predictor Tool by Careers360 to get the list of possible colleges you can get with your rank or percentile.

I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.

Thank you and wishing you all the best for your bright future.

Hello there,

To confirm if you qualify for an engineering seat through JEE Main:

  1. Check Cutoff: Compare your percentile with the JEE Main qualifying cutoff for your category. If you clear it, you are eligible for JEE Advanced (if aiming for IITs).

  2. Check College Cutoffs: Use your rank to check previous year cutoffs for NITs, IIITs, GFTIs, and state colleges through JoSAA/CSAB counseling.

  3. Participate in Counseling: Register for JoSAA or state counseling to apply for engineering seats.

  4. Private Colleges: If your rank doesn’t match NIT/IIIT cutoffs, private colleges also accept JEE scores.


I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.

Thank you and wishing you all the best for your bright future.

Hello there,

With 98.68 percentile in JEE Mains under the OBC category from Telangana , your expected rank is around 16,000 – 18,000 (OBC rank ~ 4,000 – 5,000).

Chance for NIT Warangal:

  • NIT Warangal (Home State Quota - OBC) :
    • CSE – Difficult
    • ECE, EEE, Mech, Civil – Slight chance in later rounds
    • Metallurgy, Biotechnology – Higher chances

      Other NITs You Can Get
  • High Chance : NIT Nagpur, NIT Jamshedpur, NIT Rourkela, NIT Raipur
  • Good Chance : NIT Patna, NIT Silchar, NIT Durgapur, NIT Srinagar
  • Safe Options : NIT Agartala, NIT Mizoram, NIT Meghalaya

You have a slim chance for NIT Warangal (lower branches) but better chances in other NITs. Try CSAB special rounds for better allotment.


I would recommend you to use JEE Mains College Predictor Tool by Careers360 to get the list of possible colleges you can get with your rank or percentile.


I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.

Thank you and wishing you all the best for your bright future.

hi ,

congratulations on scoring 94.7 percentile in jee main paper 2 ,

based on previous years trends the students who have secured 94.7 percentile have been selected in the following colleges  ,here is the list of potential college you can be selected in -

  • NIT- some of the newer NITs can offer seat for the B.arch programme , which have higher closing ranks
  • SPA Bhopal and Vijaywada
  • state architectural college .

stay updated as the cut-off trends vary very year based on various factors . remember  , while your percentile is a significant factor timely application and strategic choice filling during counselling play crucial role in securing admission in desired colleges .

hope this helps

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