JEE Mains 2025 January 24 Shift 1 Question Paper with Solutions Available - Download Link

JEE Main 2025 January 24 Shift 1 Examination Pattern and Structure

JEE Main 2025 January 24 Shift 1 Memory Based Questions

JEE main 2025 24 shift 1 Live session

Q.1. Which of the following is the strongest oxidising agent?
$1 \quad \mathrm{Eu}^{2+}$
$2 \mathrm{Ce}^{2+}$
$3 \mathrm{Ce}^{4+}$
$4 \quad E u^{4+}$

Q.2 If the $5^{\text {th }}, 6^{\text {th }}$ and $7^{\text {th }}$ term of the binomial expansion of $\left(1+x^2\right)^{n+4}$ are in A.P. Then the greatest binomial coefficient in the expansion of $\left(1+x^2\right)^{n+4}$ is

Q.3 The difference in melting point and boiling point of oxygen and sulphur can be explain

1 Electronegativity

2 Electron gain enthalpy
3 Atomicity

4 Ionisation energy

Q.4 The number of 3 digit numbers which is divisible by 2 and 3 but not divisible by 4 and 9 .

Q.5 If $I=I_A \sin \omega t+I_B \cos \omega t$, then find rms value of current
$1 \quad I_{r m s}=I_A+I_B$
$2 \quad I_{\mathrm{rms}}=\sqrt{I_A^2+I_B^2}$
$3 \quad I_{\mathrm{rms}}=\sqrt{\frac{l_{L_2^2+l_B^2}^2}{2}}$
$4 \quad I_{\mathrm{rms}}=\frac{1}{2} \sqrt{I_A^2+I_B^2}$

Q.6. Ribose present in DNA is
(A) It is a pentose sugar
(B) Present in pyranose form
(C) $\alpha$ anomeric carbon is present
(D) Present in D configuration
(E) It is reducing sugar in free form

Choose the correct statements :

1 A, C & E only

2 A, D & E only
3 A, B, C, D & E
4 A & E only

Q.7Difference of M.P & B.P b/w Oxygen & Sulpher can be explained by.
a) EN
b) $\Delta H_{\text {eg }}$
c) Atomicity
d) $I E$

Q.8 If A is $3 \times 3$ matrix such that $\operatorname{det}(\mathrm{A})=2$. Then $\operatorname{det}(\operatorname{adj}(\operatorname{adj}(\operatorname{adj}(\operatorname{adj} A))))$

Q.9 If 10 mol CO and 10 mol of $\mathrm{Fe}_3 \mathrm{O}_4$ reacts according to $\mathrm{Fe}_3 \mathrm{O}_4+4 \mathrm{CO} \rightarrow 4 \mathrm{CO}_2+3 \mathrm{Fe}$ What is the Weight of Fe produce?

Q.10 A drop of radius R is split into 27 drops of equal radius, the work done is 10 J . If the same big drop is split into 64 equal drops, the work done is

(A) 10
(B) 15
(C) 20
(D) $75 / 4$

Q.11 What is relative shift of focal length of a lens when optical power is increased from 0.1 D to 2.5 D?
$1 \quad 24 / 25$
2 $213 / 10$
$3 \quad 21 / 25$
$4 \quad 11 / 10$

Q.12 If the $\mathrm{K}_{\text {sp }}$ of $\mathrm{Cr}(\mathrm{OH})_3$ is $1.6 \times 10^{-30} \mathrm{M}^4$. The molar solubility of salt in water is $1.56 \times 10^{-x}$, then value of $x$ is

Q.13 Q) Radius of curvature plano convex lens is 2 cm and refractive index is $\mathbf{1 . 5}$ has focal length $f_1$ in air and $f_{\mathbf{2}}$ in a medium of refractive index 1.2. Calculate $f_1 / f_2$

Q.14 The electric flux through the shaded area of square plate of side $a$ due to point charge placed at distance of $a / 2$ from it as shown in figure, is $\frac{N Q}{48 \varepsilon_0}$. Then $N$ is

Q.15 A solid cylinder of mass $m$ and radius $r$ is released from rest at the top of a rough inclined plane making an angle of $45^{\circ}$ with the horizontal. Assuming the cylinder rolls without slipping, find the accleration of the axis of the cylinder.

(A) $\frac{g}{2}$
(B) $\frac{g}{\sqrt{2}}$
(C) $\frac{2 g}{3 \sqrt{2}}$
(D) $\frac{g}{3 \sqrt{2}}$

Q.16 In a square loop of side length $\frac{1}{\sqrt{2}} \mathrm{~m}, \mathrm{a}$ current of 5 A is flowing. Find magnetic field at its centre in $(\mu \mathrm{T})$.

Q.17 If $\vec{a}=\hat{\imath}+2 \hat{\jmath}+3 \hat{k}, \vec{b}=3 \hat{\imath}+\hat{\jmath}-\hat{k}$ and $\vec{c}$ is coplanar with $\vec{a}$ and $\vec{b}$. Also $\vec{a} \cdot \vec{c}=5$ and $\vec{c}$ is perpendicular to $\vec{b}$. Then $|\vec{c}|$ is

Q.18 $\lim _{x \rightarrow 0} \operatorname{cosec} x$. $\left(\sqrt{2 \cos ^2 x+3 \cos x}-\sqrt{\cos ^2 x+\sin x+4}\right)$

1) 0

2) 1

3) $\frac{1}{2 \sqrt{5}}$

4) $-\frac{1}{2 \sqrt{5}}$

Q.19 Process is non-spontaneous at freezing point but spontaneous at boiling point, find $\Delta \mathrm{H}$ and $\Delta \mathrm{S}$.
a) Both are Positive
b) Both are Negative
c) $\Delta S$ Positive, $\Delta H$ Negative
d) $\Delta \mathrm{S}$ Negative, $\Delta \mathrm{H}$ Positive

Q.20 Which of the following is most reactive towards nucleophilic addition reaction.

1 Para-nitro benzaldehyde
2 Para-methyl benzaldehyde
3 Benzaldehyde
4 Acetophenone

JEE Main 2025 January 24 Shift 1 Question Paper with Solution

The JEE Mains 2025 24 Jan Shift 1 Question Paper and Solutions is available on this page as the exam is over. These materials will be highly useful for candidates appearing in later shifts, allowing them to practice and analyze the questions, helping in better preparation for their own exam sessions.

JEE Main Previous Year's Question Paper

Practicing the previous year’s question papers is an essential part of JEE Main preparation. It allows you to familiarize yourself with the exam structure, question types, and the level of difficulty you may encounter in JEE Main 2025. Analyzing past papers helps build confidence, refine time management skills, and gives you insight into important topics. Be sure to access these valuable resources to strengthen your preparation strategy for the upcoming exam.

JEE Main Previous Year Analysis

1. Mathematics Section

• Calculus:
  • Differentiation and Integration formed a major part of the questions. Topics such as maxima/minima, applications of integration (e.g., area under curves), and definite integrals were frequently tested.
  • Differentiation also appeared in application-based questions such as finding the rate of change in various contexts.
• Algebra:
  • A strong focus was on Quadratic Equations, with questions revolving around the properties of roots, discriminants, and equations.
  • Progressions (AP, GP, HP) were often tested with a mix of theoretical and application-based problems.
  • Matrices and Determinants were also prominent, with several questions on solving systems of linear equations and matrix properties.
• Coordinate Geometry:
  • Key topics included Circles, Ellipses, and Hyperbolas. The questions were mostly related to finding equations of tangents and understanding geometrical properties.
  • Straight Lines and Parabolas were also frequently asked.
• Vectors and 3D Geometry:
  • This section involved questions on dot product, cross product, and the equations of lines and planes in space.

2. Physics Section

• Mechanics:
  • This area covered fundamental topics like Laws of Motion, Work-Energy, and Rotational Motion.
  • Questions on force, friction, acceleration, and torque were common. Concepts like angular momentum and moment of inertia were also frequently tested.
• Electromagnetism:
  • Questions on Electrostatics (e.g., Coulomb's Law, Gauss’s Law, and electric potential) were commonly asked.
  • Magnetic Effects of Current and Electromagnetic Induction also had substantial representation, with questions on the magnetic field due to a current and Faraday’s Law.
• Modern Physics:
  • Topics like the Photoelectric Effect, Atomic Models, and Nuclear Physics were often included in the paper.
  • Wave-particle duality and de Broglie’s wavelength were other key areas.
• Thermodynamics
  • Questions on the first and second laws of thermodynamics, entropy, and internal energy were included.

3. Chemistry Section

• Organic Chemistry:
  • A major portion of the Chemistry section was dominated by reaction mechanisms such as SN1/SN2 reactions, electrophilic substitution, and free radical reactions.
  • Hydrocarbons, Alcohols, Aromatic Compounds, and Polymers were frequently tested.
• Physical Chemistry:
  • Topics on Thermodynamics, Chemical Kinetics, and Chemical Equilibrium had a significant presence in the exam.
  • Students encountered questions on enthalpy, entropy, rate laws, and Le Chatelier’s Principle.
• Inorganic Chemistry:
  • Questions on Chemical Bonding, including hybridization, molecular orbital theory, and VSEPR theory, were quite prominent.
  • Coordination Compounds and questions on periodic trends such as ionization energy, atomic radius, and electronegativity were also frequently tested.

JEE Main 2025 Question Paper Analysis as per the previous year

The JEE Main 2025 exam is expected to focus heavily on Calculus and Algebra in Mathematics, particularly Differentiation, Integration, and Quadratic Equations. In Physics, Mechanics, including Laws of Motion and work energy, will be key, along with Electromagnetism and Modern Physics. For Chemistry, Organic Chemistry will be dominant, with significant portions on Physical Chemistry and Inorganic Chemistry. Focus on these key areas for effective preparation.