JEE Mains 2025 January 23 Shift 1 Question Paper with Solutions Available

JEE Main 2025 January 23 Shift 1 Exam Pattern and Structure

JEE Mains 2025 January 23 Shift 1 Question Paper with Solution

For Indian engineers aspiring to study engineering, JEE Main is an essential exam. Once the JEE Mains 2025 January 23 Shift 1 Question Paper and its solutions are released, they will offer candidates insight into the exam's level of challenge, important topics, and types of questions.

JEE Mains 2025 January 23 Shift 1 Question Paper with Solution ( Memory Based Questions)

The following comprises of memory based questions from JEE Main 23 Jan Shift 1 Exam:

Q.1 Which of the following element doesn't lie on same period
(a) Osmium
(b) Iridium
(c) Palladium
(d) Platinum

Q.2

Which of the following pair of ions are same coloured?

$
\begin{aligned}
& 1 \mathrm{Ti}^{4+}, \mathrm{V}^{3+} \\
& 2 \mathrm{Cr}^{2+}, \mathrm{Cu}^{2+} \\
& 3 \mathrm{Cr}^{3+}, \mathrm{Ni}^{2+} \\
& 4 \mathrm{Mn}^{3+}, \mathrm{Fe}^{2+}
\end{aligned}
$
Q.3 Which of the following react with Hinsberg reagent?
(A) Aniline
(B) $\mathrm{N}, \mathrm{N}$-Dimethyl aniline
(C) Methyl amine
(D) $\mathrm{C}_6 \mathrm{H}_5 \mathrm{NHC}_6 \mathrm{H}_5$
. A only
. A and C only
. $A, C$ and $D$
. A and B only

Q.4

$
\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{CH}=0 \xrightarrow[\text { Excess }]{\mathrm{HCHO}}[\mathrm{~A}]
$

Major product $[A]$ will be:

Q.5

Statement 1: Fructose can give tollens test even though it does not have aldehyde group
Statement 2: When reacted with base fructose can undergo rearrangement to produce aldehyde group
(1) If both Statement 1 and Statement 2 are true and the Statement 2 is the correct explanation of the assertion.
(2) If both Statement 1 and Statement 2 are true but Statement $\mathbf{2}$ is not the correct explanation of the assertion.
(3) If Statement 1 is true but Statement 2 is false.
(4) If the Statement 1 and Statement 2 both are false.

Q.6

Q)If for an arithmetic progression, if first term is $\mathbf{3}$ and sum of first four terms is equal to $\frac{1}{5}$ of the sum of next four terms, then the sum of first 20 terms is
(A) 1080
(B) 364
(C) $\mathbf{- 1 0 8 0}$
(D) -364

Q.7

If for the system of linear equations having infinite solutions

$
\begin{aligned}
& (\lambda-4) x+(\lambda-2) y+\lambda z=0 \\
& 2 x+3 y+5 z=0 \\
& x+2 y+6 z=0
\end{aligned}
$

then $\lambda^2+\lambda$ is

Q.8 Find the value of $\sin 70^{\circ}\left(\cot 10^{\circ} \cot 70^{\circ}-1\right)$

Q.9

The displacement of a particle as function of time is $x(t)=A(\sin )+B \cos ^2(t)+c t^2+D$. Find dimension of $\left(\frac{A B C}{D}\right)$
(A) $\mathrm{L}^2$
(B) $\mathrm{L}^{2 \mathrm{~T}} \mathrm{~T}^{-2}$

C $\mathrm{Lt}{ }^{-2}$
(D) $\mathrm{L}^3 \mathrm{~T}$

Q.10.Stat 1: hotter moves faster than cold water.
Stat 2: soap water have higher surface tension than fresh water

Q.11. Value of $\cos ^{-1}\left[\frac{12}{13} \cos x+\frac{5}{13} \sin x\right]$ is

$
\left(x \in\left[\frac{\pi}{2}, \pi\right]\right)
$

$1 \quad x+\tan ^{-1} \frac{12}{13}$
$2 x-\tan ^{-1} \frac{12}{13}$
$3 \quad x-\tan ^{-1} \frac{5}{12}$
$4 \quad x+\tan ^{-1}\left(\frac{4}{5}\right)$

Q.12 If angles of projection for two projectiles are $30^{\circ}$ and $60^{\circ}$ then the ratio of velocities at maximum height is.

Q.13 If $10^{21}$ molecules are removed from $\times \mathrm{mg}$ of $\mathrm{CO}_2(\mathrm{~g})$, then $2.4 \times 10^{-3}$ moles are left. Calculate the value of $x$

Q.14 Area of the larger region bounded by curves $y=|x-1|$ and $x^2+y^2=25$ is

Q.15

If $f(x)$ is continuous at $x=0$, where

$
f(x)=\left\{\begin{array}{cl}
\frac{2}{x}\left(\sin \left(k_1+1\right) x+\sin \left(k_2+1\right) x\right) & x<0 \\
\frac{4}{x} \log \left[\frac{k_2 x+1}{k_1 x+1}\right] & x=0 \\
& x>0
\end{array}\right.
$

Then $k_1^2+k_2^2$ is

Q.16 $q_1=3 \quad S_4=\frac{1}{4}\left(S_8-S_4\right)$ find $S_2=$ ?

Q.17 which of the following Can show face-mer Isomes
a) $\mathrm{Co}\left[(\mathrm{en})_2 \mathrm{Cl}_2\right]$
b) $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4 \mathrm{Cl}_2\right]$
c) $\left[\mathrm{Co}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]_1 \mathrm{X}$
d) $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_3 \mathrm{Cl}_3\right]$

Previous Years Question Paper

Previous year's question papers play a crucial role in JEE Main preparation. By practising them, you can better understand the exam pattern and the type of questions that might appear in JEE Mains 2025. Reviewing past papers will help you become familiar with the format and difficulty level, enhancing your readiness for the upcoming exam. Make sure to check the previous year’s question papers here for valuable practice material.

JEE Main Previous Year Analysis

Here is a detailed analysis of the JEE Main previous year analysis:

1. Mathematics Section

• Calculus:
  • Dominated by topics like Differentiation and Integration. Students were required to solve problems on maxima/minima, rate of change, and definite integrals.
  • Applications of Integrals and Area under Curves were commonly tested.
• Algebra:
  • Focused heavily on Quadratic Equations, including roots, discriminants, and properties.
  • Progressions (AP, GP, HP) were tested with problems requiring the use of sum formulas and related concepts.
  • Matrices and Determinants also contributed, with questions on matrix operations and their applications in solving systems of equations.
• Coordinate Geometry:
  • Questions centred around conic sections—Circles, Ellipses, and Hyperbolas. Key problems included equations of tangents and properties of conics.
  • Straight Lines and Parabolas were also tested with questions related to geometric properties and equations.
• Vectors and 3D Geometry:
  • Questions on dot product, cross product, and equations of lines and planes in three-dimensional space were included.

2. Physics Section

• Mechanics:
  • Laws of Motion and Work-Energy problems were the most frequently tested. Topics like friction, acceleration, and force were covered in both theoretical and practical contexts.
  • Rotational Motion had questions on torque, moment of inertia, and angular momentum.
• Electromagnetism:
  • Electrostatics focused on Coulomb’s Law, Gauss’s Law, and electric fields.
  • Magnetic Effects of Current covered Ampere’s Law, magnetic force on moving charges, and magnetic fields due to currents.
  • Electromagnetic Induction included questions on Faraday's Law and Lenz’s Law.
• Modern Physics:
  • Questions on the Photoelectric Effect, Bohr’s Model, and Nuclear Physics were prominent.
  • Dual Nature of Matter and de Broglie’s Hypothesis were also tested.
• Thermodynamics:
  • Topics included the first and second laws of thermodynamics, entropy, heat transfer, and internal energy.

3. Chemistry Section

• Organic Chemistry (40%):
  • Dominated by questions on reaction mechanisms, such as SN1/SN2, electrophilic substitution, and free radical reactions.
  • Topics on Hydrocarbons, Alcohols, and Aromatic Compounds appeared frequently.
• Physical Chemistry (35%):
  • Questions on Thermodynamics covered enthalpy, entropy, and Gibbs Free Energy.
  • Chemical Kinetics and Equilibrium were tested extensively, focusing on rate laws, Le Chatelier’s Principle, and activation energy.
• Inorganic Chemistry (25%):
  • Focused on Chemical Bonding, including hybridization, molecular orbital theory, and VSEPR theory.
  • Coordination Compounds questions involved ligands, oxidation states, and complexes.
  • Periodic Trends such as ionization energy, atomic radius, and electronegativity were covered.

JEE Mains 2025 Question Paper Analysis as per the previous year

As compared to previous years, the structure of the JEE Main 2025 January 23 shift 1 exam is expected to be organized in the same manner as the major emphasis on the distribution of questions. Mathematics will remain a focus of Calculus and Algebra, and Mechanics and Electromagnetism will dominate the Physics portion. Hopefully, Organic Chemistry will continue to be the largest section in Chemistry as it was in the previous years.