JEE Main April 7 Shift 2 Question Paper with Solutions 2025 Released - Download PDF

Watch JEE Mains Live Analysis April 7 Shift 2

JEE Main 2025 April 7 Shift 2 Question Paper with Solution

As the JEE Main 2025 April 7 Shift 2 test is concluded, the question paper and solutions is updated here on this webpage. The students who are appearing for the next shifts can utilize these resources since they provide an overall picture of the structure and difficulty of the exam. By studying the JEE Main 2025 Shift 2 Question Paper with Solutions PDF, candidates can grasp important concepts, solve problems efficiently, and prepare well for future exams.

Chemistry

Q.1 Consider the following oxides

$$
\mathrm{V}_2 \mathrm{O}_5, \mathrm{Cr}_2 \mathrm{O}_3, \mathrm{Mn}_2 \mathrm{O}_7, \mathrm{~V}_2 \mathrm{O}_3, \mathrm{VO}_2
$$
Number of oxides which are acidic is $\mathbf{x}$.
Consider the following complex compound $\left[\mathrm{Co}\left(\mathrm{NH}_2 \mathrm{CH}_2 \mathrm{CH}_2 \mathrm{NH}_2\right)_3\right]_2\left(\mathrm{SO}_4\right)_3$ the primary valency of comple $x$ is $y$
The value of $x+y$ is

Q.2. Which of the following is the correct Hybridisation of $\mathrm{XeF}_4$ ?
$1\quad sp^3 d$
$2 \quad \mathrm{sp}^3$
$3 \quad s p^3 d^2$
$4 \quad s p^3 d^3$

Q.3. Which of the following is correct order of acidic character of oxides of vanadium?
$1 \quad \mathrm{~V}_2 \mathrm{O}_5>\mathrm{VO}_2>\mathrm{V}_2 \mathrm{O}_3$
$2 \quad \mathrm{~V}_2 \mathrm{O}_3>\mathrm{VO}_2>\mathrm{V}_2 \mathrm{O}_5$
$3 \quad \mathrm{~V}_2 \mathrm{O}_5>\mathrm{V}_2 \mathrm{O}_3>\mathrm{VO}_3$
$4 \quad \mathrm{VO}_2>\mathrm{V}_2 \mathrm{O}_3>\mathrm{V}_2 \mathrm{O}_5$

Physics

Q 1. Given below are two statements. One is labelled as Assertion (A) and the other is labelled as reason (R).
Assertion (A) : Refractive index of glass is more than air.
Reason (R) : Optical density of a medium is directly related to its mass density.
In the light of the above statements, choose the correct answer from the options given below

1. (A) is false but (R) is true

2. (A) is true but (R) is false

3. Both $(A)$ and $(R)$ are true but $(R)$ is NOT the correct explanation of $(A)$

4. Both $(A)$ and $(R)$ are true and $(R)$ is the correct explanation of $(A)$

Q 2. The figure shows a circular portion of radius $R / 2$ removed from a disc of mass $m$ and radius $R$. The moment of inertia about an axis passing through the centre of mass the disc and perpendicular to the plane is

$\begin{aligned} 1) & \frac{13}{32} m R^2 \\ 2)& \frac{m R^2}{2} \\ 3) & \frac{m R^2}{4} \\ 4)& \frac{13}{64} m R^2\end{aligned}$

Q 3. Give below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : A magnetic monopole does not exist.
Reason (R) : Magnetic lines are continuous and form closed loops.
In the light of the above statements, choose the correct answer from the options given below:

1. (A) is false but (R) is true

2. (A) is true but (R) is false

3. Both $(A)$ and $(R)$ are true but $(R)$ is NOT the correct explanation of $(A)$

4. Both $(A)$ and $(R)$ are true and $(R)$ is the correct explanation of $(A)$

Maths

Q 1. If $x|x-3|+3|x-2|+1=0$, then the number of real solution is

1) 2

2) 4

3) 1

4) 6

Q 2. $\operatorname{Re}\left(\frac{2 z+i}{z+i}\right)+\operatorname{Re}\left(\frac{2 \bar{z}-i}{\bar{z}-i}\right)=2$ is a circle of radius $r$ and centre $(a, b)$, then $\frac{15 a b}{r^2}$ is equal to

Q 3. If two vectors $\vec{a}$ and $\vec{b}$ satisfies $\frac{|\vec{a}+\vec{b}|+|\vec{a}-\vec{b}|}{|\vec{a}+\vec{b}|-|\vec{a}-\vec{b}|}=\sqrt{2}+1$, then the value of $\frac{|\vec{a}+\vec{b}|^2}{|\vec{a}-\vec{b}|^2}$ is equal to

$\begin{aligned} 1) & 1+\sqrt{2} \\ 2) & 2+4 \sqrt{2} \\ 3) & 1+2 \sqrt{2} \\ 4)& 3+2 \sqrt{2}\end{aligned}$

Q 4. Let $f(x)=\frac{x-5}{x^2-3 x+2}$, if range of $f(x)$ is $(-\infty, \alpha) \cup(\beta, \infty)$. Then $\alpha^2+\beta^2$ equals to?

JEE Main 2025 April 7 Shift 2 Answer Key & Solution PDF Download

The JEE Main 2025 April 7 All Shifts Question and answer key will be uploaded on the Careers360 website after the exam. With these, the candidates will have a clear idea of their performance and areas where they must improve. Referring to the JEE Main 2025 April 3 answer key and solutions is crucial for candidates to be able to accurately determine their performance by matching their answers with the correct ones. This helps in the identification of strengths and areas for improvement, allowing for specific study strategies.

JEE Main 2025 Previous Year Question Paper

Working through past years' question papers is a strategic method of exam preparation, with a number of important advantages. Going through these papers familiarizes students with the format and structure of future exams, including the mark distribution and question types that are usually set. This enables students to prepare for the layout of the exam and organize their study time accordingly. You can also refer to the following: