JEE Main 2026 (Online) 22nd January Morning Shift
JEE Main / 75 questions
2026Thu, Jan 22, 2026 3:30 AM75 PYQs
1Alcohols Phenols And Ethers
Given below are two statements :
Statement I : Phenol on treatment with $\mathrm{CHCl}_3$ /aq. KOH under refluxing condition, followed by acidification produces $p$-hydroxy benzaldehyde as the major product and $o$-hydroxy benzaldehyde as t...
Statement I : Phenol on treatment with $\mathrm{CHCl}_3$ /aq. KOH under refluxing condition, followed by acidification produces $p$-hydroxy benzaldehyde as the major product and $o$-hydroxy benzaldehyde as t...
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2Aldehydes Ketones And Carboxylic Acids
\(\text { Match the LIST-I with LIST-II }\)
List-I Reagents
List-II Name of Reaction involving carbonyl compounds
A.
NH
2
−
<...
List-I Reagents
List-II Name of Reaction involving carbonyl compounds
A.
−
<...
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3Biomolecules
Given below are two statements :
Statement I : Sucrose is dextrorotatory. However, sucrose upon hydrolysis gives a solution having mixture of products. This solution shows laevorotation.
Statement II : Hydrolysis of sucrose gives glucose an...
Statement I : Sucrose is dextrorotatory. However, sucrose upon hydrolysis gives a solution having mixture of products. This solution shows laevorotation.
Statement II : Hydrolysis of sucrose gives glucose an...
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4Chemical Bonding And Molecular Structure
The formal charges on the atoms marked as (1) to (4) in the Lewis representation of $\mathrm{HNO}_3$ molecule respectively are
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5Chemical Bonding And Molecular Structure
Two p-block elements X and Y form fluorides of the type $\mathrm{EF}_3$. The fluoride compound $\mathrm{XF}_3$ is a Lewis acid and $\mathrm{YF}_3$ is a Lewis base. The hybridizations of the central atoms of $\mathrm{XF}_3$ and $\mathrm{YF}_...
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6Chemical Equilibrium
Dissociation of a gas $\mathrm{A}_2$ takes place according to the following chemical reaction. At equilibrium, the total pressure is 1 bar at 300 K .
\(\mathrm{A}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{~A}(\mathrm{~g})\)
The standard...
\(\mathrm{A}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{~A}(\mathrm{~g})\)
The standard...
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7Chemical Kinetics And Nuclear Chemistry
$\mathrm{A} \rightarrow$ product (First order reaction).
Three sets of experiment were performed for a reaction under similar experimental conditions:
Run $1 \Rightarrow 100 \mathrm{~mL}$ of 10 M solution of reactant A
Run $2 \Rightarrow 20...
Three sets of experiment were performed for a reaction under similar experimental conditions:
Run $1 \Rightarrow 100 \mathrm{~mL}$ of 10 M solution of reactant A
Run $2 \Rightarrow 20...
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8Chemical Kinetics And Nuclear Chemistry
The temperature at which the rate constants of the given below two gaseous reactions become equal is $\_\_\_\_$ K. (Nearest integer)
$$ \begin{array}{ll} \mathrm{X} \longrightarrow \mathrm{Y}, & \mathrm{k}_1=10^6 e^{\frac{-30000}{\mathrm{~T...
$$ \begin{array}{ll} \mathrm{X} \longrightarrow \mathrm{Y}, & \mathrm{k}_1=10^6 e^{\frac{-30000}{\mathrm{~T...
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9Compounds Containing Nitrogen
'A' is a neutral organic compound (M. F : $\mathrm{C}_8 \mathrm{H}_9 \mathrm{ON}$ ). On treatment with aqueous $\mathrm{Br}_2 / \mathrm{HO}^{(-)}$, ' A ' forms a compound ' B ' which is soluble in dilute acid. ' B ' on treatment with aqueou...
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10Coordination Compounds
Consider the transition metal ions $\mathrm{Mn}^{3+}, \mathrm{Cr}^{3+}, \mathrm{Fe}^{3+}$ and $\mathrm{Co}^{3+}$ and all form low spin octahedral complexes. The correct decreasing order of unpaired electrons in their respective d-orbitals o...
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11Coordination Compounds
A first row transition metal $(\mathrm{M})$ does not liberate $\mathrm{H}_2$ gas from dilute HCl .1 mol of aqueous solution of $\mathrm{MSO}_4$ is treated with excess of aqueous KCN and then $\mathrm{H}_2 \mathrm{~S}(\mathrm{~g})$ is passed...
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12Electrochemistry
Consider the following electrochemical cell at 298 K
$\mathrm{Pt}\left|\mathrm{HSnO}_2^{-}(\mathrm{aq})\right| \mathrm{Sn}(\mathrm{OH})_6{ }^{2-}(\mathrm{aq})\left|\mathrm{OH}^{-}(\mathrm{aq})\right| \mathrm{Bi}_2 \mathrm{O}_3(\mathrm{~s}) ...
$\mathrm{Pt}\left|\mathrm{HSnO}_2^{-}(\mathrm{aq})\right| \mathrm{Sn}(\mathrm{OH})_6{ }^{2-}(\mathrm{aq})\left|\mathrm{OH}^{-}(\mathrm{aq})\right| \mathrm{Bi}_2 \mathrm{O}_3(\mathrm{~s}) ...
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13Haloalkanes And Haloarenes
As compared with chlorocyclohexane, which of the following statements correctly apply to chlorobenzene?
A. The magnitude of negative charge is more on chlorine atom.
B. The $\mathrm{C}-\mathrm{Cl}$ bond has partial double bond character.
C....
A. The magnitude of negative charge is more on chlorine atom.
B. The $\mathrm{C}-\mathrm{Cl}$ bond has partial double bond character.
C....
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14Haloalkanes And Haloarenes
The correct order of the rate of reaction of the following reactants with nucleophile by $\mathrm{S}_{\mathrm{N}} 1$ mechanism is :
(Given : Structures I and II are rigid)
(Given : Structures I and II are rigid)
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15Haloalkanes And Haloarenes
The correct order of reactivity of $\mathrm{CH}_3 \mathrm{Br}$ in methanol with the following nucleophiles is
$\mathrm{F}^{-}, \mathrm{I}^{-}, \mathrm{C}_2 \mathrm{H}_5 \mathrm{O}^{-}$and $\mathrm{C}_6 \mathrm{H}_5 \mathrm{O}^{-}$
$\mathrm{F}^{-}, \mathrm{I}^{-}, \mathrm{C}_2 \mathrm{H}_5 \mathrm{O}^{-}$and $\mathrm{C}_6 \mathrm{H}_5 \mathrm{O}^{-}$
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16Hydrocarbons
Given below are two statements :
Statement I : Benzene is nitrated to give nitrobenzene, which on further treatment \(\text { with } \mathrm{CH}_3 \mathrm{COCl} / \mathrm{AlCl}_3 \text { will give }\)
Statement II : $-\mathrm{NO}_2$ grou...
Statement I : Benzene is nitrated to give nitrobenzene, which on further treatment \(\text { with } \mathrm{CH}_3 \mathrm{COCl} / \mathrm{AlCl}_3 \text { will give }\)
Statement II : $-\mathrm{NO}_2$ grou...
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17Hydrocarbons
The cycloalkene $(\mathrm{X})$ on bromination consumes one mole of bromine per mole of $(\mathrm{X})$ and gives the product $(\mathrm{Y})$ in which $\mathrm{C}: \mathrm{Br}$ ratio is 3:1. The percentage of bromine in the product $(\mathrm{Y...
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18P Block Elements
Given below are two statements :
Statement I : The halogen that makes longest bond with hydrogen in HX, has the smallest covalent radius in its group.
Statement II : A group 15 element's hydride $\mathrm{EH}_3$ has the lowest boiling point ...
Statement I : The halogen that makes longest bond with hydrogen in HX, has the smallest covalent radius in its group.
Statement II : A group 15 element's hydride $\mathrm{EH}_3$ has the lowest boiling point ...
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19P Block Elements
A 'p'-block element $(\mathrm{E})$ and hydrogen form a binary cation $\left(\mathrm{EH}_{\mathrm{x}}\right)^{+}$, while $\mathrm{EH}_3$ on treatment with $\mathrm{K}_2 \mathrm{HgI}_4$ in alkaline medium gives a precipitate of basic mercury(...
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20Practical Organic Chemistry
Sodium fusion extract of an organic compound $(\mathrm{Y})$ with $\mathrm{CHCl}_3$ and chlorine water gives violet color to the $\mathrm{CHCl}_3$ layer. 0.15 g of $(\mathrm{Y})$ gave 0.12 g of the silver halide precipitate in Carius method....
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21Solutions
Given below are two statements :
Statement I : The Henry's law constant $\mathrm{K}_{\mathrm{H}}$ is constant with respect to variations in solution's concentration over the range for which the solution is ideally dilute.
Statement II : $\m...
Statement I : The Henry's law constant $\mathrm{K}_{\mathrm{H}}$ is constant with respect to variations in solution's concentration over the range for which the solution is ideally dilute.
Statement II : $\m...
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22Solutions
Consider a solution of $\mathrm{CO}_2(\mathrm{~g})$ dissolved in water in a closed container.
Which one of the following plots correctly represents variation of log (partial pressure of $\mathrm{CO}_2$ in vapour phase above water) $[y$-axis...
Which one of the following plots correctly represents variation of log (partial pressure of $\mathrm{CO}_2$ in vapour phase above water) $[y$-axis...
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23Some Basic Concepts Of Chemistry
In the reaction,
\(2 \mathrm{Al}(\mathrm{~s})+6 \mathrm{HCl}(\mathrm{aq}) \rightarrow 2 \mathrm{Al}^{3+}(\mathrm{aq})+6 \mathrm{Cl}^{-}(\mathrm{aq})+3 \mathrm{H}_2(\mathrm{~g})\)
\(2 \mathrm{Al}(\mathrm{~s})+6 \mathrm{HCl}(\mathrm{aq}) \rightarrow 2 \mathrm{Al}^{3+}(\mathrm{aq})+6 \mathrm{Cl}^{-}(\mathrm{aq})+3 \mathrm{H}_2(\mathrm{~g})\)
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24Structure Of Atom
The energy required by electrons, present in the first Bohr orbit of hydrogen atom to be excited to second Bohr orbit is $\_\_\_\_$ $\mathrm{J} \mathrm{mol}^{-1}$.
Given: $R_H=2.18 \times 10^{-11} \mathrm{ergs}$.
Given: $R_H=2.18 \times 10^{-11} \mathrm{ergs}$.
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25Thermodynamics
\(\text { Match the LIST-I with LIST-II }\)
List-I Thermodynamic Process
List-II Magnitude in kJ
A.
Work done in reversible, isothermal expansion of 2 mol of ideal gas from
2
List-I Thermodynamic Process
List-II Magnitude in kJ
A.
Work done in reversible, isothermal expansion of 2 mol of ideal gas from
2
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263d Geometry
If the image of the point $\mathrm{P}(1,2, a)$ in the line $\frac{x-6}{3}=\frac{y-7}{2}=\frac{7-\mathrm{z}}{2}$ is $\mathrm{Q}(5, b, \mathrm{c})$, then $a^2+b^2+c^2$ is equal to
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273d Geometry
Let $\mathrm{P}(\alpha, \beta, \gamma)$ be the point on the line $\frac{x-1}{2}=\frac{y+1}{-3}=z$ at a distance $4 \sqrt{14}$ from the point $(1,-1,0)$ and nearer to the origin. Then the shortest distance, between the lines $\frac{x-\alpha}...
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28Application Of Derivatives
Let $f(x)=x^{2025}-x^{2000}, x \in[0,1]$ and the minimum value of the function $f(x)$ in the interval $[0,1]$ be $(80)^{80}(n)^{-81}$. Then $n$ is equal to
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29Area Under The Curves
Let the line $x=-1$ divide the area of the region $\left\{(x, y): 1+x^2 \leq y \leq 3-x\right\}$ in the ratio $m: n, \operatorname{gcd}(m, n)=1$. Then $m+n$ is equal to
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30Binomial Theorem
The coefficient of $x^{48}$ in $(1+x)+2(1+x)^2+3(1+x)^3+\ldots+100(1+x)^{100}$ is equal to
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31Circle
Let the set of all values of $r$, for which the circles $(x+1)^2+(y+4)^2=r^2$ and $x^2+y^2-4 x-2 y-4=0$ intersect at two distinct points be the interval $(\alpha, \beta)$. Then $\alpha \beta$ is equal to
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32Complex Numbers
Let $\alpha=\frac{-1+i \sqrt{3}}{2}$ and $\beta=\frac{-1-i \sqrt{3}}{2}, i=\sqrt{-1}$. If
\((7-7 \alpha+9 \beta)^{20}+(9+7 \alpha-7 \beta)^{20}+(-7+9 \alpha+7 \beta)^{20}+(14+7 \alpha+7 \beta)^{20}=m^{10},\)
then $m$ is $\_\_\_\_$
\((7-7 \alpha+9 \beta)^{20}+(9+7 \alpha-7 \beta)^{20}+(-7+9 \alpha+7 \beta)^{20}+(14+7 \alpha+7 \beta)^{20}=m^{10},\)
then $m$ is $\_\_\_\_$
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33Definite Integration
The value of $\int\limits_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left(\frac{1}{[x]+4}\right) d x$, where $[\cdot]$ denotes the greatest integer function, is
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34Definite Integration
Let $f:[1, \infty) \rightarrow \mathbb{R}$ be a differentiable function. If $6 \int\limits_1^x f(t) d t=3 x f(x)+x^3-4$ for all $x \geq 1$, then the value of $f(2)-f(3)$ is :
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35Differential Equations
Let the solution curve of the differential equation $x d y-y d x=\sqrt{x^2+y^2} d x, x>0$, $y(1)=0$, be $y=y(x)$. Then $y(3)$ is equal to
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36Functions
If the domain of the function $f(x)=\sin ^{-1}\left(\frac{5-x}{3+2 x}\right)+\frac{1}{\log _e(10-x)}$ is $(-\infty, \alpha] \cup[\beta, \gamma)-\{\delta\}$, then $6(\alpha+\beta+\gamma+\delta)$ is equal to
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37Hyperbola
If the line $\alpha x+2 y=1$, where $\alpha \in \mathbb{R}$, does not meet the hyperbola $x^2-9 y^2=9$, then a possible value of $\alpha$ is :
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38Indefinite Integrals
If $\int(\sin x)^{\frac{-11}{2}}(\cos x)^{\frac{-5}{2}} d x= -\frac{p_1}{q_1}(\cot x)^{\frac{9}{2}}-\frac{p_2}{q_2}(\cot x)^{\frac{5}{2}}-\frac{p_3}{q_3}(\cot x)^{\frac{1}{2}}+\frac{p_4}{q_4}(\cot x)^{\frac{-3}{2}}+\mathrm{C}$, where $p_i$ ...
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39Inverse Trigonometric Functions
The number of solutions of $\tan ^{-1} 4 x+\tan ^{-1} 6 x=\frac{\pi}{6}$, where $-\frac{1}{2 \sqrt{6}} < x < \frac{1}{2 \sqrt{6}}$, is equal to :
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40Matrices And Determinants
If $\mathrm{A}=\left[\begin{array}{ll}2 & 3 \\ 3 & 5\end{array}\right]$, then the determinant of the matrix $\left(\mathrm{A}^{2025}-3 \mathrm{~A}^{2024}+\mathrm{A}^{2023}\right)$ is
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41Matrices And Determinants
Let A be a $3 \times 3$ matrix such that $\mathrm{A}+\mathrm{A}^{\mathrm{T}}=\mathrm{O}$. If $\mathrm{A}\left[\begin{array}{c}1 \\ -1 \\ 0\end{array}\right]=\left[\begin{array}{l}3 \\ 3 \\ 2\end{array}\right], \mathrm{A}^2\left[\begin{array...
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42Parabola
If the chord joining the points $\mathrm{P}_1\left(x_1, y_1\right)$ and $\mathrm{P}_2\left(x_2, y_2\right)$ on the parabola $y^2=12 x$ subtends a right angle at the vertex of the parabola, then $x_1 x_2-y_1 y_2$ is equal to
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43Permutations And Combinations
Let ABC be a triangle. Consider four points $\mathrm{p}_1, \mathrm{p}_2, \mathrm{p}_3, \mathrm{p}_4$ on the side AB , five points $p_5, p_6, p_7, p_8, p_9$ on the side $B C$, and four points $p_{10}, p_{11}, p_{12}, p_{13}$ on the side AC ....
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44Probability
Two distinct numbers $a$ and $b$ are selected at random from $1,2,3, \ldots, 50$. The probability, that their product $a b$ is divisible by 3 , is
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45Probability
If a random variable $x$ has the probability distribution
$$ \begin{array}{|c|c|c|c|c|c|c|c|c|} \hline x & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ \hline \mathrm{P}(x) & 0 & 2 \mathrm{k} & \mathrm{k} & 3 \mathrm{k} & 2 \mathrm{k}^2 & 2 \mathrm{k} ...
$$ \begin{array}{|c|c|c|c|c|c|c|c|c|} \hline x & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ \hline \mathrm{P}(x) & 0 & 2 \mathrm{k} & \mathrm{k} & 3 \mathrm{k} & 2 \mathrm{k}^2 & 2 \mathrm{k} ...
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46Quadratic Equation And Inequalities
The number of distinct real solutions of the equation $x|x+4|+3|x+2|+10=0$ is
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47Sequences And Series
If the sum of the first four terms of an A.P. is 6 and the sum of its first six terms is 4 , then the sum of its first twelve terms is
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48Sets And Relations
Let the relation R on the set $\mathrm{M}=\{1,2,3, \ldots, 16\}$ be given by $\mathrm{R}=\{(x, y): 4 y=5 x-3, x, y \in \mathrm{M}\}$.
Then the minimum number of elements required to be added in R , in order to make the relation symmetric, i...
Then the minimum number of elements required to be added in R , in order to make the relation symmetric, i...
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49Trigonometric Ratio And Identites
$$ \text { If } \frac{\cos ^2 48^{\circ}-\sin ^2 12^{\circ}}{\sin ^2 24^{\circ}-\sin ^2 6^{\circ}}=\frac{\alpha+\beta \sqrt{5}}{2} \text {, where } \alpha, \beta \in \mathbb{N} \text {, then } \alpha+\beta \text { is equal to ___________} $...
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50Vector Algebra
Let $\overrightarrow{\mathrm{AB}}=2 \hat{i}+4 \hat{j}-5 \hat{k}$ and $\overrightarrow{\mathrm{AD}}=\hat{i}+2 \hat{j}+\lambda \hat{k}, \lambda \in \mathbb{R}$. Let the projection of the vector $\vec{v}=\hat{i}+\hat{j}+\hat{k}$ on the diagona...
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