JEE Mains 2025 April 2 Shift 1 Question Paper with Solutions Available - Download PDF

JEE Main 2025 April 2 Shift 1 Question Paper Pattern and Structure

Check the following table for the JEE Main 2025 exam pattern. The exam is held for a duration of 3 hours.

Also Check:

• JEE Main April 2 Answer Key 2025 Shift 2
• JEE Main April 3 Answer Key 2025 Shift 1
• JEE Main April 3 Answer Key 2025 Shift 2
  

JEE Main 2025 April 2 Shift 1 Exam Pattern & Difficulty Level (Expected)

The JEE Main 2025 April 2 Shift 1 Question Paper with Solutions PDF will provide a step-by-step explanation for each question, assisting students in analyzing their performance.

JEE Main 2025 April 2 Shift 1 Question Paper is definitely going to help in the preparation of the exam. Download JEE Main 2025 April 2 Shift 1 Paper PDF here to be well prepared for further exams or test how your exam went. Here we provide the live session for memory based question paper and analysis.

JEE Main 2025 April 2 Answer Key & Solution PDF Download

The JEE Main 2025 April 2 Answer Key PDF download link is now activated as the examination is over. Students can match their responses with the JEE Main 2025 April 2 Answer Key Download to estimate their scores. Once all shifts are completed the JEE Main 2025 April 2 All Shifts Question Paper will also be accessible for reference. The unofficial JEE Main 2025 April 2 Question Paper PDF Download link is available now.

JEE Mains April 2 Shift 1 Memory Based Questions

Q 1. Find the maximum value of $n$ such that $50!$ is divisible by $3^n$.

Q 2. Let $P_n=\alpha^n+\beta^n, P_{10}=123, P_9=76, P_8=47$ and $P_1=1$, the quadratic equation whose roots are $\frac{1}{\alpha}$ and $\frac{1}{\beta}$.

1. $ x^2+x-1=0$
2. $x^2-2 x+1=0$
3. $x^2+x-2=0$
4. $x^2-x-2=0$

Q 3. Number of solutions in $[-2 \pi, 2 \pi]$ for equation $2 \sqrt{2} \cos ^2 \theta+(2-\sqrt{6}) \cos \theta-\sqrt{3}=0$.

Q 4. The total number of 10 digits sequences formed by only $\{0,1,2\}$ where 1 should be used at least 5 times and 2 should be used exactly three times, is

Q 5. Let $a_1, a_2, a_3, \ldots$. is an A.P. and $\sum_{k=1}^{12} a_{2 k-1}=-\frac{72}{5} a_1$ and $\sum_{k=1}^n a_{k=0}$. Then the value of $n$ is

Q 6. Given the equation of a hyperbola $H: \frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ and its directrix is $x=\sqrt{\frac{10}{81}}$ with a focus at $(\sqrt{10}, 0)$, then find the value of $9\left(e+l^2\right)$, where $I$ is length of latus rectum is

1. 2697

2. 2597
3. 2487
4. 2587

Q 7. If a twice differentiable function $f$ satisfies $f^{\prime}(x)=f(x)$ such that $f(0)=\frac{1}{2}=f^{\prime}(0)$. Then find $f^{\prime \prime}\left(\frac{\pi}{3}\right)$

Q.6 Which of the following statement(s) is correct is/are for the adiabatic process?
A. Molar heat capacity is zero.
B. Molar heat capacity is infinite.
C. Work done on gas is equal to increase in internal energy
D. The increase in temperature results in decrease in internal energy

1 A and C only

2 B and C only

3 A and D only

Q.7 What is the units of viscosity, intensity of wave and pressure gradient

Q.8 Which does not follow general trends among Halogens
(1) I. E
(2) Electro Affinity
(3) Ionic Radius
(4) Covalent Radius

Q.9 The figure shows an infinite plane having uniform charge density $\sigma$ and a small charged particle having charge $q$ and mass $m$ suspended by a light insulating thread. Find $\sigma$ if the charge is in equilibrium.

$1 \quad \frac{2 f_0 m g}{q}$
$2 \frac{\varepsilon_0 m g}{2 q}$
$3 \quad \frac{2 q}{\varepsilon_0 m g}$
$4 \frac{2 q \varepsilon_0}{m g}$

Q.10 Find the ratio of $\left(\gamma=\frac{C_p}{C_v}\right)$ for two gases having degree of freedoms $f=3$ and $f=5$.

Q.11 Relation between magnetic sucesptibility and magnetic permeability

Q.12 The ratio of magnetic field to center of circular coil to magnetic field at distance $x$ from the centre of circular coil

$
\left(\frac{x}{R}=3 / 4\right)
$

Q.13 The greatest value of $n, n \in N$. If $3^n$ divides 50 !
a) 20
b) 21
c) 22
d) 23

Q.14 Two point charges $q$ and $9 q$ are placed at distance of $l$ from each other. Then the electric field is zero at a

1 Distance $\frac{l}{4}$ from charge $9 q$
2 Distance $\frac{3 l}{4}$ from charge $q 3$ Distance $\frac{l}{3}$ from charge $9 q$
4 Distance $\frac{l}{4}$ from charge $q$

Q.15 Given the equation of a hyperbola $H: \frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ and its directrix is $x=\sqrt{\frac{10}{81}}$ with a focus at $(\sqrt{10}, 0)$, then find the value of $9\left(e+l^2\right)$, where $I$ is length of latus rectum is

1 2697

2 2597
$3 \quad 2487$
$4 \quad 2587$

Q.16 Which Amino acids is optically inactive
(1) Alanine
(2) Glycine
(3) Valine
(4) Aspartic Acid

Q. Two point charges $q$ and $9 q$ are placed at distance of $l$ from each other. Then the electric field is zero at a

1 Distance $\frac{l}{4}$ from charge $9 q$
2 Distance $\frac{3 l}{4}$ from charge $q$3 Distance $\frac{l}{3}$ from charge $9 q$
4 Distance $\frac{l}{4}$ from charge $q$

You can download detailed questions and analysis from here:

Some Preparation Tips for JEE Main Exam April Session

• Students must learn all syllabus contents and test conditions so they can manage their time properly.

• Design a scheduled timetable which equally covers every subject to establish balanced preparation.

• Students should focus on studying NCERT textbooks for Physics Chemistry and Mathematics since these books provide foundation building material.

• Consistent Practice will bring success Through Previous Year Question Paper Solutions and Practice of Mock Tests Which Build Speed Accurately.

• Learning efficient time distribution for subjects along with question-solving speed practice during time-limited sessions is vital.

• You should work on understanding basic concepts clearly instead of repeating information by memory during your studies. Standard reference materials should be consulted if required.

• Regular revisions of important topics and concepts and formulas will help you retain information.

• Do mock tests according to full-length formats to monitor your performance while locating your knowledge gaps.

• A healthy balance of sleep with nutritious food alongside stress control measures helps both mental focus and work productivity.