JEE Main 2026 · April session

JEE Main 4 April 2026, Shift 2

75 questions: 15 numerical-answer and 60 multiple choice. 14 were rated hard and 23 easy. Its hard-question count was the joint highest of the 9 2026 shifts Lumi analysed. The biggest chapter was Conic Sections, with 3 questions.

Questions: 75; none dropped
Numerical answer: 15; 20% of the shift
Hard: 14; 19% of the shift
Chapters asked: 54; 13 questions with a figure

Key findings · 4 Apr 2026, Shift 2

1
14 hard questions (19%): the joint highest count of the 9 2026 shifts Lumi analysed. Across those shifts the hard share ran from 8% to 19%.
2
Maths was the hardest section, with 9 of 25 rated hard; Physics had the most easy questions (10 of 25).
3
4 questions tested a new idea, one no earlier year had asked: 6% of the 63 questions tagged to an idea.
4
21 came back from 2025: the same idea had been asked in the 2025 shifts Lumi analysed.
5
18 shared an idea with another 2026 shift (29% of tagged questions). Shifts in the same year can test the same idea in a new setting.
6
Biggest chapters: Dual Nature of Radiation and Matter in Physics (2), Alcohols, Phenols and Ethers in Chemistry (2) and Conic Sections in Maths (3).

The shift at a glance

Subjects, difficulty and chapters

Physics

25 Q · 5 numerical

Easy 10Medium 15Hard 0

Top chapters

Chemistry

25 Q · 5 numerical

Easy 8Medium 12Hard 5

Top chapters

Maths

25 Q · 5 numerical

Easy 5Medium 11Hard 9

Top chapters

Conic Sections3 Q
Complex Numbers and Quadratic Equations2 Q
Determinants2 Q
Differential Equations2 Q
Integrals2 Q
Relations and Functions2 Q

Question format

Single correct40 Q
Numerical value15 Q
Other7 Q
Diagram based7 Q
Match the list3 Q
Assertion–reason3 Q

What each question asks you to do

Multi-step30 Q
Calculation24 Q
Application9 Q
Conceptual6 Q
Recall3 Q
Diagram reading2 Q
Data or graph1 Q

Most common: Multi-step.

Against the other 2026 shifts

This shift next to the 8 other 2026 shifts Lumi analysed

Shares are of each shift’s scored questions. The highlighted row is this shift.

Shift	Questions	Easy	Hard	Numerical	New ideas	Multi-step
2 Apr, Shift 1	75	27%	17%	20%	19%	40%
2 Apr, Shift 2	75	17%	8%	20%	25%	47%
4 Apr, Shift 1	74	26%	18%	20%	23%	43%
4 Apr, Shift 2	75	31%	19%	20%	6%	40%
5 Apr, Shift 1	75	31%	9%	20%	12%	40%
5 Apr, Shift 2	75	31%	19%	20%	14%	36%
6 Apr, Shift 1	75	24%	16%	20%	23%	45%
6 Apr, Shift 2	75	28%	16%	20%	20%	49%
8 Apr, Shift 2	75	24%	17%	20%	21%	53%

New ideas: share of a shift’s questions testing an idea no earlier year had asked. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.

Drill down

What this shift asked, and its history

Every chapter this shift asked, with all its topics and ideas. Counts and squares cover every analysed shift from 2017 to 2026; rows this shift did not ask are faded, and each row lists this shift’s questions with the most recent from other shifts.

subjectAskedShareYears’17’20’21’22’23’24’25’26

Open25 this shift3092 · 33%33%8/830299720720358540200225
Open25 this shift3084 · 33%33%8/830298716720359538199224
Open25 this shift3065 · 33%33%8/829299715710354533200225

Squares are the 8 years with analysed shifts, 2017 to 2026. A number is the questions that year when there is more than one; the shade is scaled to one shift, so a year with more analysed shifts (1 to 24 a year) does not look darker. Share is of the level above.

Every question

All 75 questions of this shift

The opening words of each question, with its chapter, topic, idea and how hard it was. Open one for the full text, options and the official answer. “New idea” means no earlier year had tested it.

Subject

Difficulty

Idea

Find

75 of 75 questions

Physics25 questions

10 easy15 medium0 hard

Chemistry25 questions

8 easy12 medium5 hard

Q51
The correct order of total number of atoms present in (A) 2 moles of cyclohexane (B) 684 g of sucrose (C) 90.8 L of dihydrogen at STP is:
Some Basic Concepts of Chemistry Mole Concept Mole and Avogadro Calculations
EasySingle correctIdea asked in 5 yearsAsked the year before
Q52
The species having identical radii according to the Bohr's theory are: A. H (first orbit) B. $\mathrm{He^+}$ (first orbit) C. $\mathrm{He^+}$ (Second orbit) D. $\mathrm{Li^{2+}}$ (first orbit) E. $\mathrm{Be^{3+}}$ (Second orbit) Choose the correct answer…
Structure of Atom Bohr's Atomic Theory Bohr Radius Calculation
EasyOtherIdea asked in 6 yearsAsked the year before
Q53
Which of the following pictorial diagram most correctly represents the $\pi^*$ ( $\pi$ -antibonding) molecular orbital between two atoms if the internuclear axis is taken to be in the z-direction (z-axis arrow)?
Chemical Bonding and Molecular Structure Molecular Orbital Theory Nodal Planes in Molecular Orbitals
MediumDiagram based · figureNew idea
Q54
At 27 $^\circ$ C, 0.1 M, 1 L $\mathrm{K_4[Fe(CN)_6]}$ aqueous solution and 0.1 M, 1 L $\mathrm{FeCl_3}$ aqueous solution are placed in a container separated by a semi permeable membrane AB. Assume complete dissociation of both the solutes. Which of the…
Solutions Colligative Properties Hypertonic and Hypotonic Solutions
MediumSingle correct · figureIdea asked in 2 years
Q55
20 mL of a solution of acetic acid required 28.4 mL of 0.1 M NaOH for its neutralization. A solution (X) was prepared by mixing 20 mL of the above acetic acid and 14.2 mL of 0.1 M NaOH solution. What is the pH of the solution (X)? ( $\mathrm{pK_a}$ value of…
Equilibrium pH and Buffers Acidic Buffer pH Calculation
EasySingle correctIdea asked in 3 years
Q56
Match the LIST-I with LIST-II List-I (Reaction): A. Williamson Synthesis B. Friedel Craft Reaction C. Bromination of vinyl benzene D. Chlorination of toluene in light List-II (Mechanism): I. Electrophilic addition II. Free radical substitution III.…
Haloalkanes and Haloarenes Aromatic Hydrocarbons Friedel-Crafts Alkylation
EasyMatch the listIdea asked in 5 years
Q57
The $1^{\text{st}}$ ionization enthalpy for Mg is +737 kJ/mol. The most probable estimated value of the $2^{\text{nd}}$ ionization enthalpy of Mg is ________.
Classification of Elements and Periodicity in Properties Periodic Trends Successive Ionization Enthalpy Jumps
EasySingle correctIdea asked in 3 years
Q58
The electronegativity of a group 13 element 'E' is same as that of Ge (on Pauling scale and upto one decimal point). The CORRECT statements about $\mathrm{E^{3+}}$ are A. It can act as a reducing agent. B. It can act as an oxidizing agent. C.…
The p-Block Elements Group 13 & 14 Inert Pair Effect
HardOtherIdea asked in 5 yearsAsked the year before
Q59
Pairs of elements with the same number of electrons in their respective 4f orbital are [Atomic number: Eu-63, Gd-64, Dy-66, Ho-67, Tm-69, Yb-70, Lu-71, Hf-72] A. (Eu and Gd) B. (Dy and Ho) C. (Yb and Hf) D. (Lu and Tm) Choose the correct answer from the…
The d- and f-Block Elements f-Block Elements Lanthanide Electronic Configuration
MediumOtherIdea asked in 5 years
Q60
Consider the metal complexes $\mathrm{[Ni(en)_3]^{2+}}$ (A), $\mathrm{[NiCl_4]^{2-}}$ (B) and $\mathrm{[Ni(NH_3)_6]^{2+}}$ (C). Choose the CORRECT option by considering the number of unpaired electrons present in (A), (B) and (C) respectively and the order…
Coordination Compounds Crystal Field Theory High and Low Spin States
MediumSingle correctIdea asked in 7 yearsAsked the year before
Q61
Consider the following molecules/species: (x) cycloheptatrienone (tropone): a seven-membered ring with three C=C double bonds and an exocyclic C=O (y) $\mathrm{(CH_3)_2C=O}$ (propanone) (z) $\mathrm{CH_3-C(=O)-O^{(-)}}$ (acetate ion) The correct order of…
Organic Chemistry: Some Basic Principles and Techniques
HardDiagram based · figure
Q62
Consider $|x|$ is the difference in oxidation states of Mn in highest manganese fluoride and highest manganese oxide. The ions with $|x|$ number of unpaired electrons from the following are: A. $\mathrm{Sc^{3+}}$ B. $\mathrm{Zn^{2+}}$ C. $\mathrm{V^{2+}}$ D.…
The d- and f-Block Elements d-Block Elements Spin-only Magnetism
MediumOtherIdea asked in 6 yearsAsked the year before
Q63
Consider the given graph showing variation of reactant concentration with time. Three different reactions were started with identical initial concentration of reactants. Which of the following statement is correct?
Chemical Kinetics Integrated Rate Equations Kinetic Graphical Identification
MediumSingle correct · figureIdea asked in 2 years
Q64
Compound (X) is subjected to the sequence of reactions as shown above. Molar mass of the major product (Y) formed is ________ $\mathrm{g\ mol^{-1}}$ . (Given molar mass in $\mathrm{g\ mol^{-1}}$ C:12, H: 1, O: 16)
Hydrocarbons Alkenes and Alkynes Stereoselective Alkyne Reduction
MediumDiagram based · figureIdea asked in 3 years
Q65
The following structures are [figure: stereocentre C with Br (up), CH3 (hashed, left), Me (down), Cl (wedge, right)] and [figure: stereocentre C with Br (up), Cl (wedge, left), Me (down), CH3 (hashed, right)]
Haloalkanes and Haloarenes Stereoisomerism Chiral Centers
EasyDiagram based · figureIdea asked in 5 years
Q66
The descending order of acidity among the following compounds is: A. phenol B. 4-nitrophenol ( $\mathrm{O_2N}$ para to OH on the benzene ring) C. 4-methoxyphenol ( $\mathrm{H_3CO}$ para to OH on the benzene ring) D. 4-nitrobenzoic acid ( $\mathrm{O_2N}$ para to…
Alcohols, Phenols and Ethers Organic Acidity and Basicity Carboxylic Acid Acidity
MediumOther · figureIdea asked in 4 years
Q67
The strongest conjugate acid will result from:
Amines Aromatic Amine Basicity
EasySingle correct · figureIdea asked in 3 yearsAsked the year before
Q68
A D-aldotetrose on oxidation with concentrated $\mathrm{HNO_3}$ resulted in optically inactive dicarboxylic acid. The structure of the D-aldotetrose is:
Biomolecules Carbohydrates Selective Oxidation of Monosaccharides
MediumDiagram based · figureIdea asked in 3 years
Q69
Among $\mathrm{Fe^{3+}}$ , $\mathrm{Pb^{2+}}$ , $\mathrm{Cu^{2+}}$ and $\mathrm{Mn^{2+}}$ , identify the one that gets precipitated out while passing $\mathrm{H_2S}$ in presence of $\mathrm{NH_4OH}$ as group reagent. The highest possible oxidation state of the…
Equilibrium Cation Analysis Group IV Sulfides
MediumSingle correctIdea asked in 2 years
Q70
Match the LIST-I with LIST-II List-I (Compound): A. [figure: cyclohexane ring bearing OH] B. [figure: cyclohexane ring bearing NH2] C. [figure: cyclohexane ring bearing CHO] D. [figure: benzene ring bearing OH] List-II (Test): I. Hinsberg's reagent test II.…
Alcohols, Phenols and Ethers Alcohols and Phenols Lucas Test Differentiation
MediumMatch the list · figureIdea asked in 2 years
Q71
If 3.365 g of ethanol ( $l$ ) is burnt completely in a bomb calorimeter at 298.15 K, the heat produced is 99.472 kJ. The $|\Delta H_f^\circ|$ of ethanol at 298.15 K is ________ $\times10^2$ $\mathrm{kJ\ mol^{-1}}$ . (Nearest integer) Given: Standard enthalpy…
Thermodynamics (Chemistry)Enthalpy and Hess's Law Bomb Calorimetry Calculations
HardNumerical valueIdea asked in 6 yearsAsked the year before
Q72
For the following reaction at 50 $^\circ$ C and at 2 atm pressure, $\mathrm{2N_2O_5(g)\rightleftharpoons2N_2O_4(g)+O_2(g)}$ $\mathrm{N_2O_5}$ is 50% dissociated. The magnitude of standard free energy change at this temperature is $x$ . $x=$ ________…
Thermodynamics (Chemistry)Gibbs Free Energy Gibbs Energy and Equil
HardNumerical valueIdea asked in 5 years
Q73
An electrochemical cell, consist of the following two redox couples, $\mathrm{M^{x+}(aq)/M(s)}$ $[E^\ominus_{red}=+0.15\ \mathrm{V}]$ and $\mathrm{Fe^{3+}(aq)/Fe(s)}$ $[E^\ominus_{red}=-0.036\ \mathrm{V}]$ . The cell EMF ( $E_{cell}$ ) is recorded to be 0.2057…
Electrochemistry Nernst Equation Full Cell Nernst Equation
HardNumerical valueIdea asked in 6 yearsAsked the year before
Q74
For a first order reaction $\mathrm{A\rightarrow B}$ [table: t/min = 0, x, 20; [A]/M = 0.6500, 0.0650, 0.00065] $x=$ ________ min. (Nearest integer)
Chemical Kinetics Integrated Rate Equations First Order Integrated Rate Law
MediumNumerical valueIdea asked in 6 yearsAsked the year before
Q75
In sulphur estimation, $2.0\times10^{-3}$ mol of an organic compound (X) (molar mass 76 $\mathrm{g\ mol^{-1}}$ ) gave 0.4813 g of barium sulphate (molar mass 233 $\mathrm{g\ mol^{-1}}$ ). The percentage of sulphur in the compound (X) is ________…
Organic Chemistry: Some Basic Principles and Techniques Stoichiometry Gravimetric Precipitation Analysis
EasyNumerical valueIdea asked in 5 yearsAsked the year before

Maths25 questions

5 easy11 medium9 hard

Q1
For the function $f:[1,\infty)\to[1,\infty)$ defined by $f(x)=(x-1)^4+1$ , among the two statements: (I) The set $S=\{x\in[1,\infty):f(x)=f^{-1}(x)\}$ contains exactly two elements, and (II) The set $S=\{x\in[1,\infty):f(x)=f^{-1}(x+1)\}$ is an empty set,
Relations and Functions Functions and Domain Domain and Range of Inverse Functions
HardOtherIdea asked in 2 years
Q2
Let $S=\{z\in\mathbb{C}:z^2+4z+16=0\}$ . Then $\sum_{z\in S}|z+\sqrt{3}\,i|^2$ is equal to:
Complex Numbers and Quadratic Equations Quadratic Roots Complex Conjugate Roots
EasySingle correctIdea asked in 4 years
Q3
If the system of equations: $x+y+z=5$ $x+2y+3z=9$ $x+3y+\lambda z=\mu$ has infinitely many solutions, then the value of $\lambda+\mu$ is:
Determinants Cramer's Rule Condition for Infinite Solutions
EasySingle correctIdea asked in 7 yearsAsked the year before
Q4
If $\alpha=1$ and $\beta=1+i\sqrt{2}$ , where $i=\sqrt{-1}$ are two roots of the equation $x^3+ax^2+bx+c=0$ , $a,b,c\in\mathbb{R}$ , then $\int_{-1}^{1}\left(x^3+ax^2+bx+c\right)dx$ is equal to:
Integrals Quadratic Roots Complex Conjugate Roots
MediumSingle correctIdea asked in 4 years
Q5
If the quadratic equation $(\lambda+2)x^2-3\lambda x+4\lambda=0$ , $\lambda\neq-2$ , has two positive roots, then the number of possible integral values of $\lambda$ is:
Complex Numbers and Quadratic Equations Location of Roots Both Roots Positive
MediumSingle correctIdea asked in 2 yearsAsked the year before
Q6
Let $A=\begin{bmatrix}1&2&7\\4&-2&8\\3&8&-7\end{bmatrix}$ and $\det(A-\alpha I)=0$ , where $\alpha$ is a real number. If the largest possible value of $\alpha$ is $p$ , then the circle $(x-p)^2+(y-2p)^2=320$ , intersects the co-ordinate axes at
Determinants
HardSingle correct
Q7
Let $\alpha=\frac14+\frac18+\frac1{16}+\ldots\infty$ and $\beta=\frac13+\frac19+\frac1{27}+\ldots\infty$ . Then the value of $(0.2)^{\log_{\sqrt5}(\alpha)}+(0.04)^{\log_5(\beta)}$ is equal to:
Sequences and Series AP and GP Infinite GP Sum
EasySingle correctIdea asked in 6 years
Q8
For 10 observations $x_1,x_2,\ldots,x_{10}$ , if $\sum_{i=1}^{10}(x_i+2)^2=180$ and $\sum_{i=1}^{10}(x_i-1)^2=90$ , then their standard deviation is:
Statistics Variance and SD Calculating Sum of Squares from Variance
MediumSingle correctNew idea
Q9
In the expansion of $\left(9x-\frac{1}{3\sqrt{x}}\right)^{18}$ , $x>0$ , if the term independent of $x$ is $(221)k$ , then $k$ is equal to:
Binomial Theorem
MediumSingle correct
Q10
Let $P(3\cos\alpha,2\sin\alpha)$ , $\alpha\neq0$ , be a point on the ellipse $\frac{x^2}{9}+\frac{y^2}{4}=1$ , $Q$ be a point on the circle $x^2+y^2-14x-14y+82=0$ and $R$ be a point on the line $x+y=5$ such that the centroid of the triangle $PQR$ is…
Conic Sections
HardSingle correct
Q11
Let $H:\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ be a hyperbola such that the distance between its foci is 6 and the distance between its directrices is $\frac83$ . If the line $x=\alpha$ intersects the hyperbola $H$ at the points $A$ and $B$ such that the area of…
Conic Sections
MediumSingle correct
Q12
$\max_{0\le x\le\pi}\left(16\sin\left(\frac x2\right)\cos^3\left(\frac x2\right)\right)$ is equal to:
Application of Derivatives Maxima and Minima Closed Interval Extrema
MediumSingle correctIdea asked in 6 yearsAsked the year before
Q13
The shortest distance between the lines $\vec r=\left(\frac13\hat i+2\hat j+\frac83\hat k\right)+\lambda\left(2\hat i-5\hat j+6\hat k\right)$ and $\vec r=\left(-\frac23\hat i-\frac13\hat k\right)+\mu\left(\hat j-\hat k\right)$ , $\lambda,\mu\in\mathbb{R}$ , is:
Three Dimensional Geometry Skew Lines Vector Shortest Distance Formula
EasySingle correctIdea asked in 5 yearsAsked the year before
Q14
If $\left(2\alpha+1,\,\alpha^2-3\alpha,\,\frac{\alpha-1}{2}\right)$ is the image of $(\alpha,2\alpha,1)$ in the line $\frac{x-2}{3}=\frac{y-1}{2}=\frac z1$ , then the possible value(s) of $\alpha$ is (are)
Three Dimensional Geometry Lines in 3D Image of a Point in a Line
MediumSingle correctIdea asked in 6 yearsAsked the year before
Q15
Let $\hat u$ and $\hat v$ be unit vectors inclined at an acute angle such that $|\hat u\times\hat v|=\frac{\sqrt3}{2}$ . If $\vec A=\lambda\hat u+\hat v+(\hat u\times\hat v)$ , then $\lambda$ is equal to:
Vector Algebra Cross Product Magnitude and Sine Formula
HardSingle correctIdea asked in 7 years
Q16
Let for some $\alpha\in\mathbb{R}$ , $f:\mathbb{R}\to\mathbb{R}$ be a function satisfying $f(x+y)=f(x)+2y^2+y+\alpha xy$ for all $x,y\in\mathbb{R}$ . If $f(0)=-1$ and $f(1)=2$ , then the value of $\sum_{n=1}^{5}(\alpha+f(n))$ is:
Relations and Functions
MediumSingle correct
Q17
Let $A=\{(a,b,c):a,b,c$ are non-negative integers and $a+b+2c=22\}$ . Then $n(A)$ is equal to:
Permutations and Combinations Distribution of Identical Objects
MediumSingle correctIdea asked in 6 years
Q18
The area of the region bounded by the curves $x+3y^2=0$ and $x+4y^2=1$ is equal to:
Application of Integrals Area Under Curves Area Between Two Standard Parabolas
EasySingle correctIdea asked in 4 years
Q19
Let $y=y(x)$ be the solution of the differential equation: $\frac{dy}{dx}+\left(\frac{6x^2+\left(3x^2+2x^3+4\right)e^{-2x}}{\left(x^3+2\right)\left(2+e^{-2x}\right)}\right)y=2+e^{-2x}$ , $x\in(-1,2)$ , satisfying $y(0)=\frac32$ . If $y(1)=\alpha(2+e^{-2})$ ,…
Differential Equations Linear Differential Equations Integrating Factor Calculation
HardSingle correctIdea asked in 7 yearsAsked the year before
Q20
The integral $\int_0^1\cot^{-1}\left(1+x+x^2\right)dx$ is equal to:
Integrals Inverse Trig Identities Piecewise cot-1 to tan-1 Conversion
HardSingle correctIdea asked in 2 years
Q21
From a month of 31 days, 3 different dates are selected at random. If the probability that these dates are in an increasing A.P. is equal to $\frac ab$ , where $a,b\in\mathbb{N}$ and $\gcd(a,b)=1$ , then $a+b$ is equal to ________
Probability
MediumNumerical value
Q22
Let $f(x)=\begin{cases}e^{x-1}, & x<0\\ x^2-5x+6, & x\ge0\end{cases}$ and $g(x)=f(|x|)+|f(x)|$ . If the number of points where $g$ is not continuous and is not differentiable are $\alpha$ and $\beta$ respectively, then $\alpha+\beta$ is equal to ________
Continuity and Differentiability Differentiability of Modulus Functions
MediumNumerical valueIdea asked in 5 years
Q23
Let $A,B$ be points on the two half-lines $x-\sqrt3\,|y|=a$ , $a>0$ at a distance of $a$ from their point of intersection $P$ . The line segment $AB$ meets the angle bisector of the given half-lines at the point $Q$ . If $PQ=\frac92$ and $R$ is the radius of…
Straight Lines
HardNumerical value
Q24
Let $A,B$ and $C$ be the vertices of a variable right angled triangle inscribed in the parabola $y^2=16x$ . Let the vertex $B$ containing the right angle be $(4,8)$ and the locus of the centroid of $\Delta ABC$ be a conic $C_0$ . Then three times the length of…
Conic Sections
HardNumerical value
Q25
Let $f$ be a twice differentiable function such that $f(x)=\int_0^x\tan(t-x)\,dt-\int_0^x f(t)\tan t\,dt$ , $x\in\left(-\frac\pi2,\frac\pi2\right)$ . Then $f''\left(\frac\pi6\right)+12f'\left(-\frac\pi6\right)+f\left(\frac\pi6\right)$ is equal to ________
Differential Equations Leibniz Rule Solving Integral Equations
HardNumerical valueIdea asked in 6 yearsAsked the year before

Questions from the official paper published by NTA, answers from the final key. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026; see the other 2026 shifts.