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

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

Edited By Shivani Poonia | Updated on Apr 03, 2025 10:22 AM IST | #JEE Main
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Are you looking for JEE Main 2025 April 2 Shift 2 Question Paper with solutions? This is the right place to be looking for! The JEE Main 2025 April 2 Shift 2 Question Paper along with solutions download now available below as the JEE Main exam is over. The JEE Main is conducting its second phase of exam in April and every student and teacher are now buckling up for their last shot! For more insights keep reading JEE Main 2025 April 2 Shift 2 Question Paper with solutions article. You can also check JEE Main April 2 Answer Key 2025 Shift 2 on this page.

This Story also Contains
  1. JEE Main 2025 April 2 Shift 2 Question Paper Pattern and Structure
  2. JEE Main 2025 April 2 Shift 2 Question Paper with Solutions - Highlights
  3. JEE Main 2025 April 2 Shift 2 Question Paper with Solutions and Analysis – Subject-Wise Overview
  4. Some Memory Based Questions
  5. JEE Main 2025 April 2 Shift 2 Answer Key & Solution PDF Download
JEE Main 2025 April 2 Shift 2 Question Paper with Solutions Available - Download PDF
JEE Main 2025 April 2 Shift 2 Question Paper with Solutions Available - Download PDF
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JEE Main 2025 April 2 Shift 2 Question Paper Pattern and Structure

Details

Information

Total Time

3 hours (180 minutes)

Total Questions

75 questions

Maximum Marks

300 marks

Exam Medium

Available in 13 languages

Exam Mode

Computer Based Test (CBT)

Question Type

MCQs and Numerical Value-Based

Also read: JEE Mains 2025 April 2 shift 1 question paper with solutions

JEE Main 2025 April 2 Shift 2 Question Paper with Solutions - Highlights

Exam Date: April 2, 2025

Shift Timing: Second Shift (Evening)

Subjects: Physics, Chemistry, Mathematics

Question Paper Availability: Post-exam

Answer Key Release: To be published after the exam

Also Check:

JEE Main 2025 April 2 Shift 2 Question Paper with Solutions and Analysis – Subject-Wise Overview

Live analysis is being done in this youtube link by experts.

Some Memory Based Questions

Memory based questions of the April 2 Shift 2 paper is provided below

2nd April Shift 2 Maths

Q 1. Total number of terms in an A.P are even. Sum of odd terms is 24 and sum of even terms is 30. Last term exceeds the first term by $\frac{21}{2}$. Find the total number of terms.

Q 2. If the domain of the function $f(x)=\frac{1}{\sqrt{3 x+10-x^2}}+\frac{1}{\sqrt{x+|x|}}$ is $(a, b)$ then $(1+a)^2+b^2$ is equal to

1. 25
2. 16

3. 24

4. 26

Q 3. If $\theta \in\left[-\frac{7 \pi}{6}, \frac{4 \pi}{3}\right]$, then number solutions of $\sqrt{3} \operatorname{cosec}^2 \theta-2(\sqrt{3}-1) \operatorname{cosec} \theta-4=0$, is

Q 4. Find the eccentricity of ellipse in which length of minor axis is equal to onefourth of the distance between foci

1. $\frac{4}{\sqrt{17}}$
2. $\frac{2}{\sqrt{17}}$
3. $\frac{7}{\sqrt{17}}$
4. $\frac{8}{\sqrt{17}}$

Chemistry

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

Q.3 Relation between magnetic sucesptibility and magnetic permeability

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

Q.4 In the following graph between $\mathrm{t}_{1 / 2}$ and initial concentration [ $\mathrm{A}_0$ ]. If slope of the graph is $79.62 \mathrm{M}^{-1} \mathrm{~min}$. and initial concentration is 2.5 M . Find the concentration of A after 10 min .

Q.5 $100 \mathrm{~g} \mathrm{CaCO}_3$ when reacted with 0.19 mole of HCl then the moles of $\mathrm{CaCl}_2$ formed is $\mathrm{P} \times 10^{-3} \mathrm{~mol}$. Find P ?

Q.6 Vapour pressure of pure liquid A is 200 mm Hg . If 1 mol of A and 3 mol of B are mixed. Assuming solution to be ideal, find the vapour pressure of pure liquid ' B ', if total pressure of solution is 500 mm Hg

Q.7

$$
\begin{aligned}
& \mathrm{CaCO}_3+2 \mathrm{HCl} \rightleftharpoons \mathrm{CaCl}_2+\mathrm{H}_2 \mathrm{O}+\mathrm{CO}_2 \\
& 1000 \mathrm{~g} 2 \mathrm{l}, 2 \mathrm{M}
\end{aligned}
$$


Find moles of $\mathrm{CaCl}_2$ Produced.
(1) 10
(2) 2
(3) 6
(4) 8

Q.8 Which of the following property does not have the regular trend in group $17^{\text {th }}$ of the period table?
(1)XAtomic size
(2) I.E.
(3) Electronegativity

(4)Electron Affinity

Q.9 Statement-I: Ga has larger metallic radius than Al .
Statement-II: $\mathrm{Ga}^{+3}$ has larger ionic radius than $\mathrm{Al}^{+3}$.
In the light of the above statements, choose the most appropriate answer from the options given below:
(1) Both Statement-I and Statement-II are false
(2) Statement-I is false but Statement-II is true
(3) Both Statement I and Statement-II are true
(4) Statement-I is true but Statement-II is false

Q.10 In $A X_A Y, X$ and $Y$ are the top two electronegative atoms and A has the highest ionization enthalpy in its period. Predict the hybridization of $A X_A Y$.
(1) $\mathrm{sp}^3$
(2) $\mathrm{sp}^3 \mathrm{~d}$
(3) $\mathrm{sp}^3 \mathrm{~d}^2$
(4) $s p^2$

Physics

Q.1 What is the units of viscosity, intensity of wave, and pressure gradient

Q.2 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.3 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.4 The ratio of the magnetic field to the center of the circular coil to the magnetic field at a distance $x$ from the center of a circular coil

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

Q.5 Two point charges $q$ and $9 q$ are placed at a 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.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
$3 \quad 2487$
$4 \quad 2587$

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 $q$

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

After the exam is over then the JEE Main 2025 April 2 Answer Key PDF Download is available for students to verify their answers. The JEE Main 2025 April 2 All Shifts Question Paper will be released once all sessions conclude. Keep checking for updates on the JEE Main 2025 April 2 Answer Key Download and complete solution set.

Frequently Asked Questions (FAQs)

1. When can the JEE Main 2025 April 2 Shift 2 Question Paper with solutions be accessed?

Examinees can access the JEE Main 2025 April 2 shift 2 question paper with solutions right after the completion of the test.

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With 64 percentile and a CRL rank around 5.4 lakh in JEE Mains 2025, getting admission in any NIT or IIIT is very unlikely, especially in the general category. Most NITs close their admissions below a rank of 1.5 lakh, and even the newer NITs usually fill seats by around 3 to 3.5 lakh rank. IIITs generally have closing ranks below 3 lakh.

Instead, you can try for state government engineering colleges through your state counselling or look for private engineering colleges that have lower cutoff ranks. Another option is to explore management quota or direct admission routes if available.

With a JEE B.Arch rank of 30,000, getting admission in DCRUST is not possible because their cutoff ranks are much lower and they mainly consider NATA scores, not JEE Paper 2.

You can try these options instead:

Apply to other colleges accepting NATA scores.

Consider management quota seats in private colleges.

Prepare and appear for NATA exam for better chances.

With a JEE Advanced rank of 20,340, your son can likely get admission in newer IITs like IIT Bhubaneswar, Gandhinagar, Ropar, Mandi, Indore, Patna, or Jodhpur, mostly in less competitive branches.

Top IITs and popular branches like CS or ECE are unlikely.


Hello Hemalakshmi,

No, JEE Mains is not mandatory just because you are a resident of Pondicherry. Nevertheless, if you intend to gain admission into most engineering colleges/ Institutions across India including those in Pondicherry, you will most likely have to take and qualify in JEE Mains or any entrance tests which may be approved by the institution or college as the case may be. Certain colleges might also have their specified entrance criteria or admission by way of state-level entrance exams or management quota, but JEE Mains is the extremely primary national level engineering entrance and is thus widely used.

Hello Aspirant,

Yes, to be under Foreign Nationals DASA Counselling 2025, you must have done atleast 2 years of education abroad (outside India) within 8 years to the time of admission. This is a pre-requisite eligibility for acceptance under Foreign Nationals category.

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