JEE Main April 7 Shift 1 Question Paper with Solutions 2025 Available - Download PDF

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JEE Main 2025 April 7 Shift 1 Question Paper and Exam Pattern

JEE Main 2025 April 7 Shift 1 Question Paper with Solutions (Memory Based Questions)

As the JEE Main 2025 April 7 Shift 1 exam is over, the question paper and solutions is updated on this page. This resource is useful for students appearing for the upcoming shifts, as it provides a complete overview of the exam’s structure and difficulty. By reviewing the JEE Main 2025 Shift 1 Question Paper with Solutions PDF, candidates can understand critical concepts, refine their problem-solving strategies, and improve their preparation for future exams. You can also download the JEE Main 2025 April 7 Shift 1 Paper PDF.

Chemistry

Q.1. A compound having molecular formula $\mathrm{MX}_3$ has van't hoff factor of 2. What is the degree of dissociation?
$1 \quad 0.25$
$2 \quad0.5$
$3 \quad 0.3$
$4 \quad 0.75$

Q.2 500 mg of organic compound gives 220 mg of $\mathrm{CO}_2$. Find mass % of carbon atoms present in organic compound.

Q.3 A compound having molecular formula $\mathrm{MX}_3$ has Van't hoff factor of 2. What is the degree of dissociation?

1. 10.25
2. 20.5
3. 0.33
4. 0.75

Q. Transition metal belonging to 3d series having lower enthalpy of atomisation in its most stable oxidation state forms oxide MO Nature of oxide is

1 Highly acidic

2 Amphoteric

3 Highly basic

4 Neutral

Q.5 In a resonance tube closed at one end. Resonance is obtained at length $l_1=120 \mathrm{~cm}$ and $l_2=200 \mathrm{~cm}$. If $V_S=340 \mathrm{~m} / \mathrm{s}$. Find frequency of sound.

Physics

Q 1. The dimensions of a physical quantity $\varepsilon_0 \frac{d \phi_E}{d t}$ are similar to [Symbols have their usual meanings]

1. Electric Current

2. Electric Field

3. Electric Flux

4. Electric Charge

Q 2. Six resistors of resistance $R$ each, are connected as shown in figure. Find equivalent resistance across points $A$ and $B$.

1. $R / 2$
2. $R / 3$
3. $2 R / 3$
4. $3R/2$

Q 3. 2 plane polarized light waves combine at certain point whose " E " components are

$
E_1=E_0 \sin \omega t .
$

$E_2=E_0 \sin (\omega t+\pi / 3)$

Find the Amplitude of Resultant wave.
1. $E_0$
2. $0.9 E_0$
3. $1.7 E_0$
4. $3.4 E_0$

Q 4. A lens of focal length 20 cm in air is made of glass with refractive index 1.6. What is its focal length when it is immersed in a liquid of refractive index $1.8 ?$

1. $- 36 cm$

2. $- 72 cm$

3. $- 60 cm$

4. $- 108 cm$

Maths

Q 1. The remainder when $64^{64^{64}}$ is divided by 7 is equal to

1. 1

2. 2

3. 3

4. 4

Q 2. Let $A$ be a set defined as $A=\{2,3,6,9\}$. Find the number of singular matrices of order $2 \times 2$ such that elements are from the set $A$.

Q 3. Area bounded by the curves $y=4-\frac{x^2}{4}$ and $y=\frac{x-4}{2}$ (in square units) is

1. $\frac{125}{3}$

2. $\frac{20}{3}$

3. $\frac{30}{3}$

4. $\frac{120}{3}$

Q 1. The remainder when $64^{64^{64}}$ is divided by 7 is equal to

1. 1

2. 2

3. 3

4. 4

Q 2. Let $A$ be a set defined as $A=\{2,3,6,9\}$. Find the number of singular matrices of order $2 \times 2$ such that elements are from the set $A$.

Q 3. Area bounded by the curves $y=4-\frac{x^2}{4}$ and $y=\frac{x-4}{2}$ (in square units) is

1. $\frac{125}{3}$

2. $\frac{20}{3}$

3. $\frac{30}{3}$

4. $\frac{120}{3}$

Q 4. If $x_1, x_2, x_3, x_4$ are in GP, then we subtract $2,4,7,8$ from $x_1, x_2, x_3$, $x_4$ respectively, then the resultant numbers are in $A P$, then the value of $\frac{1}{24}\left(x_1 \cdot x_2 \cdot x_3 \cdot x_4\right)$ is

1. $\frac{2^4}{3^8}$
2. $\frac{2^3}{3^9}$
3. $\frac{2}{3^9}$
4. $\frac{2}{3^8}$

JEE Main 2025 April 7 Shift 1 Question Paper Analysis Based on Previous Session

The JEE Main 2025 April 7 Shift 1 question paper is expected to be of moderate difficulty, following trends from previous years.

1. Physics: Likely to include fundamental concepts from Mechanics, Optics, and Electromagnetism, with a moderate level of difficulty.

2. Mathematics: The section of Mathematics may involve more challenging problems, particularly in Calculus, Algebra, and Coordinate Geometry. Some questions may require more time to solve.

3. Chemistry: Expected to be moderately easy, with a focus on Organic Chemistry, including reactions and mechanisms, along with a few questions from Physical and Inorganic Chemistry.

JEE Main 2025 April 7 Shift 1 Answer Key & Solution PDF Download

The complete JEE Mains question papers and answer keys for all shifts will be available on the Careers360 website after the exam concludes. These resources will help candidates gauge their performance and identify areas for improvement. Besides, studying the solutions improves problem-solving and strengthens understanding of intricate ideas. Also, seeing the answer key makes candidates accustomed to the exam pattern and type of questions, which helps them prepare better for further exams. In all, employing the answer key and solutions is a strategic strategy in improving one's preparedness and confidence for further engineering entrance tests.

JEE Main 2025 Previous Year Question Paper

Comparing these papers enables the identification of commonly tested topics, enabling students to concentrate on high-yield areas. Routine practice improves speed and accuracy in problem-solving, increases confidence, and decreases anxiety on exam days. It also allows for self-evaluation, enabling students to identify their strengths and weaknesses and hence plan accordingly.