JEE Mains 2026 April 4 Shift 2 Question Paper With Solution PDF (Out): Download Here

JEE Main 2026 April 4 Shift 2 Paper PDF Download

Students can download the JEE Mains 4 April Shift 2 question paper PDF from the link given below:

JEE Main April 4 Shift 2 Exam Analysis 2026

Students can refer to the table given below for a detailed analysis of the JEE Main 2026 April 4 Shift 2 question paper, which will help them to understand the JEE 2026 paper pattern and the expected difficulty level of the coming shifts and attempts.

JEE Main 2026 April 4 Shift 2 Question Paper with Solutions

The memory-based questions from JEE Main April 4 Shift 2 Paper are provided below. This is the most useful section for students who are appearing for the coming JEE Mains 2026 April Shifts. Questions with detailed solutions are provided below:

JEE Mains April 4 Shift 2 Questions Chemistry

Question 1:

Match the column

(A) I-b, II-a, III-c, IV-d
(B) I-a, II-b, III-c, IV-d
(C) I-b, II-a, III-d, IV-c
(D) I-c, II-a, III-b, IV-d

Question 2:

Manganese forms oxide and fluoride with the highest oxidation state. The difference in the highest oxidation state of Mn in the oxide and fluoride is

$1) \quad 1$

$2) \quad 2$

$3)\quad 3$

$4) \quad 4$

Question 3:

Compare the bond length of $c=0$ ?

1) $b>a>c$
3) $a>b>c$
2) $b>c>a$
4) $c>a>b$

Question 4: Two atoms are bonding along the Z-axis. How will $\pi^*$ orbital look like : ( $Z$ is inter nuclear axis)

Question 5:

Question 6: Which of the following will have the most stable conjugate acid?

JEE Mains April 4 Shift 2 Questions Maths

Question 1:

If the system of equations

$
\begin{aligned}
& x+y+z=5 \\
& x+2 y+3 z=9 \\
& x+3 y+\lambda z=\mu \text { has infinite number of solutions. Then, the value of } \lambda+\mu \text { is }
\end{aligned}
$

(1) 18

(2) 23

(3) 21

(4) 22

Question 2:

The number of non-negative integer solutions of the equation $a+b+2 c=22$, is

(1) 124

(2) 144

(3) 135

(4) 136

Question 3:

Evaluate $(0.2)^{\log _{\sqrt{5}}^\alpha}+(0.04)^{\log _5^\beta}$
if $\alpha=\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\ldots$

$
\beta=\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\ldots
$
(1) 4
(2) 8
(3) 12
(4) 10

Question 4:

Let $S=\left\{z \in C: z^2+4 z+16=0\right.$. Then $\sum_{z \in S}|z+\sqrt{3} i|^2$ is equal to:
(1) 38
(2) 23
(3) 42
(4) 27

Question 5:

If expansion of $\left(9 x-\frac{1}{3 \sqrt{x}}\right)^{18}$, if the coefficient of term independent of $x$ is $221 k$, then the value of $k$ is

(1) 82

(2) 83

(3) 84

(4) 86

Question 6:

If the quadratic expression $(\lambda+2) x^2-3 \lambda x+4 \lambda=0, \lambda \neq-2$ has two positive roots, then the number of possible integral values of $\lambda$ is
(1) 2
(2) 4
(3) 1
(4) 3

Question 7:

If $\sqrt{3 }i, 1$ are the roots of $x^3+a x^2+b x+c=0 \quad a, b, c \in R$. Then $\int_{-1}^1\left(x^3+a x^2+b x+c\right) d x$ is
$(1) \frac{20}{3}$
$(2) \frac{10}{3}$
$(3)-\frac{20}{3}$
$(4) -\frac{10}{3}$

Question 8:

$\int_1^1 \cot ^{-1}\left(1+x+x^2\right) d x$ is equal to
$(1)2 \tan ^{-1} 2-\frac{1}{2} \ln 5$
$(2)2 \tan ^{-1} 2+\frac{1}{2} \ln 5$
$(3) \frac{1}{2} \tan ^{-1} 2-\frac{1}{5} \ln 2$
$(4) \frac{1}{2} \tan ^{-1} 2+\frac{1}{5} \ln 2$

Question 9:

Let $x_1, x_2, x_3, \ldots, x_{10}$ be 10 observations such that $\sum_{i=1}^{10}\left(x_i-1\right)^2=90$ and $\sum_{i=1}^{10}\left(x_i+2\right)^2=180$. Then, the standard deviation of $x_1, x_2, x_3, \ldots, x_{10}$ is:

$(1)2 \sqrt{2}$

$(2)3$

$(3)9$

$(4)10$

JEE Mains April 4 Shift 2 Questions Physics

Question 1:

Two strings with length ( $l_1, l_2$ ), Young's moduli ( $Y_1, Y_2$ ) are elongated under two weights as shown. Find $\Delta l_1 / \Delta l_2$.
a. 3
b. $2 / 3$
c. $4 / 3$
d. $1 / 3$

Question 2:

Consider a ring of radius $R$, rotates about a horizontal axis as shown. Time period of small oscillate
a. $2 \pi \sqrt{\frac{5 R}{g}}$
b. $2 \pi \sqrt{\frac{R}{2 g}}$
c. $2 \pi \sqrt{\frac{3 R}{2 g}}$
d. $2 \pi \sqrt{\frac{R}{g}}$

Question 3:

Two cars, A \& B, are moving on a road with speeds $100 \mathrm{~km} / \mathrm{h}$ and $80 \mathrm{~km} / \mathrm{h}$. A stone is thrown from Car B with speed $\mathrm{V} \mathrm{km} / \mathrm{h}$ relative to it. Stone hit the Car $A$ with speed $5 \mathrm{~m} / \mathrm{s}$ w.r.t Car $A$. (ignore gravity.). The $V$ is $\_\_\_\_$ .
a. 18
b. 38
c. 48
d. 20

Question 4:

List-I presents some physical quantity and list-II presents the dimensions. Match the two list appropriately.

a. $\mathrm{A} \rightarrow(3) ; \mathrm{B} \rightarrow(4) ; \mathrm{C} \rightarrow(2) ; \mathrm{D} \rightarrow(1)$
b. $\mathrm{A} \rightarrow(3) ; \mathrm{B} \rightarrow(1) ; \mathrm{C} \rightarrow(4) ; \mathrm{D} \rightarrow(2)$
c. $\mathrm{A} \rightarrow(2) ; \mathrm{B} \rightarrow(3) ; \mathrm{C} \rightarrow(4) ; \mathrm{D} \rightarrow(1)$
d. $\mathrm{A} \rightarrow(4) ; \mathrm{B} \rightarrow(3) ; \mathrm{C} \rightarrow(1) ; \mathrm{D} \rightarrow(2)$

Question 5:

For a biconvex lens, the focal length is $f$, and both radii of curvature are $R$. Find the value of f/R
a. 1.25
b. 1.5
c. 2
d. 2.5

Question 6:

Point $P$ at $r=10 \mathrm{~cm}$ distance from the centres of two bar magnets, each of magnetic moment $3 \sqrt{5} \mathrm{Am}$. Magnetic field at $P$ is
a. 1.5 mT
b. 2 mT
c. 2.5 mT
d. 4.5 mT

Question 7:

A solenoid has a core made of relative permeability 400 . The magnetic field produced in the interior of the solenoid is 1.0 T . The magnetizing intensity in SI units is $\alpha \times 10^5$. The value of $\alpha$ is $-\left(\mu_0=4 \pi \times 10^{-7}\right)$
a. $\frac{5}{\pi}$
b. $\frac{1}{4 \pi}$
c. $\frac{1}{16 \pi}$
d. $\frac{7}{\pi}$

JEE Main 2026 April 4 Shift 2 Answer Key

Students can refer to the unofficial JEE Mains 4th April 2026 Shift 2 Answer key to verify their answers and estimate their expected marks. The JEE Mains 2026 April 4 Shift 2 Answer Key will be available soon.

JEE Mains April 4 Shift 2 Question Paper Live Analysis on YouTube

Careers360 YouTube channel goes live with a team of expert teachers for JEE Mains 2026 April 4 Shift 2 Paper analysis. Refer to the Careers360 YouTube channel for live updates and analysis on the JEE Mains 2026 question paper.

How to Download JEE Mains 2026 April 4 Shift 2 Question Paper Free PDF

Students can refer to the steps given below to download JEE Mains April 4 Shift 2 question papers with solutions.

• Click on the JEE Main April 4 shift 2 question paper link provided in the table in the above section.

• You will be redirected to the Careers360 portal.

• Log in using your registered email ID and password.

• New users must complete the registration process first.

• After that, you will have to click on the download option of JEE Mains April 4 Shift 2 paper 2026

• The JEE Main question paper PDF along with the answer key will be sent to your registered email address. You can then check your email ID and view the downloaded JEE Main 2026 April 4 shift 2 question paper with solutions PDF

Steps to Calculate Marks Using JEE Main 2026 April 4 Shift 2 Question Paper with Answer Key PDF

Students can follow the steps given below to calculate JEE Mains 4 April Shift 2 Marks using the question paper answer key.

• Match your answers with the JEE Mains April 4 Shift 2 answer key carefully.
• Count the total number of correct answers
• Count the total number of incorrect answers
• Apply the JEE Main 2026 marking scheme to calculate your marks

What is the JEE Main 2026 marking scheme?

The marking scheme for JEE Main 4th April Shift 2 2026 follows the standard pattern prescribed by NTA.

• Marks for each correct answer: +4 marks
• Marks for each incorrect answer: -1
• Marks for each unattempted question: 0
• Integer questions have no negative marking

Download JEE Mains 2026 April 2 Shift 1, 2 Question Paper with Answer Key PDF

JEE Mains Previous Years Question Paper

Along with the JEE April 4 shift 2 question paper, students can also refer to the Previous year JEE Main question papers that help them understand the exam pattern and important topics. Refer to the table below to get JEE Mains question papers:

JEE Main 2026 January Session Exam Analysis

JEE Mains 2026 Exam Analysis helps students understand the difficulty level of the exam, types of questions asked and most expected topics that can be asked in JEE Mains 4th April Shift 2 Question Paper 2026. Students can check the day-wise JEE Main 2026 January sessions analysis from the table given below.

JEE Main 2026 January Session Question Papers

The JEE Main 2026 question papers help students understand the exam pattern, difficulty level, and identify important topics that can be asked in the 4th April JEE Mains Shift 2 Exam. Given below the links to download JEE Mains 2026 Session 1 Question Papers:

JEE Main 2026 Marks vs Percentile (Expected)

This table gives you a rough idea of what percentile you can expect based on your JEE Mains 4 April Shift 2 Scores.

JEE Main 2026 April 4 Shift 1 Expected Cutoff

According to JEE Mains 2026 April shift trends, the cutoff is expected to follow the same pattern. Refer to the table given below to get a rough idea about JEE Main 2026 April session Expected Cutoff:

JEE Main College Predictor

Students were very curious whether they were going to get admission into their dream college or not after attempting JEE Mains 2026 Exam. To solve this problem refer to the JEE Main College Predictor tool which helps you to estimate which IIT, NIT or other engineering colleges you are going to get based on your JEE Main 2026 April 4 Shift 2 Paper scores.

JEE Main Rank Predictor

Students can use the JEE Main rank predictor to estimate their all india rank before the release of actual JEE Mains April 4 Shift 2 Result. Using this JEE Main rank predictor students can get an idea about their score and decide on college and stream they are going to get admission.

JEE Main 2026 Session 2 Result Date

The JEE Main 2026 April 4 Shift 2 result is expected to be released by NTA by 20 April, along with session 2 result your All India Rank and Cutoff for JEE Advance will also be released by NTA on their official website, jeemain.nta.nic.in.