JEE Main 2026 Question Paper PDF All Shift OUT – Download Paper Solutions

JEE Main 2026 Question Paper

JEE Mains 2026 question paper has been given below for Jan 21, Jan 22, Jan 23, Jan 24 and Jan 28 both shifts. You will be able to find questions with answer Key below:

JEE Main 2026 Jan 28 Shift 2 Question Paper

The JEE Mains 2026 Jan 28 Shift 2 was concept-driven but scoring, with Physics being formula-based, Chemistry theory-focused (more inorganic), and Maths lengthy yet manageable. You can find detailed information in JEE Main 2026 January 28 Shift 2 Question Paper pdf. You can find subject wise detailed analysis given below:

JEE Main 2026 Jan 28 Live Paper Analysis

JEE Main 28 Jan Shift 1

JEE Main 28 Jan Shift 2

Memory- Based Questions JEE Main 28 Shift 2

JEE Mains 2026 Jan 28 Shift 2 Maths Questions

Q.1 The sum of coefficients of $x^{499}$ and $x^{500}$ in the binomial expansion of $(1+x{)}^{1000}+(1+x{)}^{999}(x)+x^2(1+x{)}^{998}+\dots +x^{1000}$ is 1. ${1002}^{}{C}_{501}$

2. ${1002}^{}{C}_{500}$

3. ${1001}^{}{C}_{500}$

4. ${1001}^{}{C}_{501}$

Q.2 If $\sum _{r=1}^{25}\frac{r}{r^4+r^2+1}=\frac{p}{q}$, where $p$ and $q$ are coprime positive integer, then $p+q$ is equal to:

1. 841

2. 976

3. 984

4. 890

Q.3 $\frac{6}{3^{26}}+\frac{10}{3^{25}}+\frac{10.2}{3^{24}}+\frac{{10.2}^2}{3^{23}}+\dots +\frac{{10.2}^{24}}{3}$ is equal to

1. $2^{26}$

2. $2^{25}$

3. $3^{26}$

4. $3^{25}$

JEE Mains 2026 Jan 28 Shift 2 Physics Questions

Question 1:

For the circuit given below, identify the logic gate.

1 AND

2 OR

3 NAND

4 NOR

JEE Mains 2026 Jan 28 Shift 2 Chemistry Questions

Question 1: The plot of ${\log }_{10}\mathrm{K}$ vs $\frac{1}{T}$ gives a straight line. The intercept and slope respectively are

$1\mathrm{c}=\log \mathrm{A},\mathrm{m}=-\frac{E_a}{2.303R}$

$2\mathrm{c}=-\frac{E_a}{2.303R^{\prime }},\mathrm{m}=\log \mathrm{A}$

$3\mathrm{c}=-\log \mathrm{A},\mathrm{m}=-\frac{E_a}{2.303R}$

$4\mathrm{c}=\log \mathrm{A},\mathrm{m}=\frac{E_a}{2.303R}$

JEE Main 2026 JAN 28 Shift 1 Question paper

The JEE Mains 2026 Jan 28 Shift 1 morning shift was moderate to tough. You can find detailed information in JEE Main 2026 January 28 shift 1 Question Paper For more details you can check the table below:

Memory- Based Questions JEE Main 28 Shift 1

1.

If $\alpha ,\beta$ are roots of quadratic equation $\lambda x^2-(\lambda +3)x+3=0$ and $\alpha <\beta$ such that $\frac{1}{\alpha }-\frac{1}{\beta }=\frac{1}{3}$, then find sum of all possible values of $\lambda$.

3

2

4

6

2.

Equation of an EMW in a medium is given by $E=2\sin (2\times {10}^{15}t-{10}^{7}x)$. Find refractive index of the medium.

$1\frac{3}{2}$

$22$

$3\frac{5}{3}$

$4\frac{4}{3}$

Question 3: In Carius method of estimation of ' Br ', 1.53 g of an organic compound gave 1 g AgBr . The \% of Br in organic compound is, (Atomic mass of $\mathrm{Ag},\mathrm{Br}=108,80\mathrm{u}$ respectively)

1) 35.23

2) 43.53

3) 27.81

4) 22.71

Question 4: Find the ratio of de Broglie wavelength of duetron having enorgy $\in C\alpha$ particle having energy $2E$.

JEE Main 2026 JAN 24 Shift 1 Question paper

The JEE Mains 2026 Jan 24 Shift 1 (morning shift).The overall difficulty level of the exam was Moderate. You can check detail analysis and questions JEE Main January 24 shift 1 Question Paper

Few Memory -Based Questions

Question 1: An electron make transition from higher energy orbit ( ${\mathrm{n}}_2$ ) to lower energy orbit ( ${\mathrm{n}}_1$ ) in ${\mathrm{Li}}^{2+}$ ion such that ${\mathrm{n}}_1+{\mathrm{n}}_2=4\mathrm{\&}{\mathrm{n}}_2+{\mathrm{n}}_1=2$. Determine the wavelength emitted in the dimension (in nm )
$112.9\mathrm{nm}$
$211.4\mathrm{nm}$
$316.7\mathrm{nm}$
$49.2\mathrm{nm}$

Question 2: Which of the following has the lowest bond energy?

$O_2^{+},N_2^{+},N_2^{-}$

Question 3: Choose the correct order of second IE of O, C, N and F
$1\mathrm{C}<\mathrm{N}<\mathrm{F}<\mathrm{O}$
$2\mathrm{C}<\mathrm{F}<\mathrm{O}<\mathrm{N}$
$3\mathrm{C}<\mathrm{N}<\mathrm{O}<\mathrm{F}$
$4\mathrm{C}<\mathrm{O}<\mathrm{F}<\mathrm{N}$

Question 4:

Question 5: Which of the following molecules is secondary alcohol?

1 b, c, e only

2 b, c, d, e only

3 a, c, d, e only

4 a, b, d only

Question 4:

Statement I= II is more stable than (I)
Statement II=As dihedral angle increases, stability decrease
(a) I: correct, II: Incorrect
(b) I: correct, II: correct
(c) $I=$ Incorrect, II: In correct
(d) $II=$ Incorrect. II: correct

JEE Main 2026 JAN 24 Shift 2 Question paper

Compared to the 24th January JEE Main 2026 morning shift, this evening shift was almost similar. In terms of difficulty, the overall order was Chemistry > Mathematics> Physics for the 24th January evening shift Question paper

Few Memory-Based Questions

Question 1: statement-1 : Two different aldehyde on cross aldol condensation always give
four product :
statement-II: Among benzaldehyde and acetophenone only acetophenone reacts with semicarbazine.

(1) Statement-I and Statement-II both are correct
(2) Statement-I is incorrect Statement-II is correct
(3) Statement-I is correct Statement-II is incorrect
(4) Statement-1 and Statement-II both incorrect

Question 2: How many linear tripeptides are possible with valine (Val), Glycine (Gly) and Alanine (Ala). No amino acid should be repeated?

1) 8

2) 5

3) 6

4) 4

Question 3: Order of wavelength of absorbed radiation for the below given complexes is,
(a) ${\left[\mathrm{Co}{\left({\mathrm{NH}}_3\right)}_6\right]}^{3+}$
(b) ${\left[\mathrm{Co}{\left({\mathrm{NH}}_3\right)}_5{\mathrm{H}}_2\mathrm{O}\right]}^{3+}$
(c) ${\left[{\mathrm{CoF}}_6\right]}^{3-}$
(d) ${[\mathrm{Co}(\mathrm{CN}{)}_6]}^{3-}$
$1d>a>c>b$
$2d>a>b>c$
$3\mathrm{d}<\mathrm{a}<\mathrm{b}<\mathrm{c}$

Question 4: Given :

$\begin{array}{r}\mathrm{\Delta }{H}_{\text{atom}}\left({\mathrm{CH}}_4\right)=x\mathrm{kJ}{\mathrm{mole}}^{-1}\\ \mathrm{\Delta }{H}_{\text{atom}}\left({\mathrm{C}}_2{\mathrm{H}}_6\right)=\mathrm{y}\mathrm{kJ}{\mathrm{mole}}^{-1}\end{array}$
Find out bond energy ( $\mathrm{C}-\mathrm{C}$ ) ( $\mathrm{kJ}/$ mole).
$1y-x$
$2y-4x$
$3y-\frac{3x}{2}$
$4y-2x$

Question 5: Which of the following have same bond order and are paramagnetic?
$1{\mathrm{O}}_2^{+},{\mathrm{N}}_2^{-}$
$2{\mathrm{O}}_2^{+},{\mathrm{O}}_2^{-}$
$3{\mathrm{O}}_2^{-},{\mathrm{N}}_2^{-}$
$4{\mathrm{O}}_2^{-},{\mathrm{N}}_2^{+}$

JEE Main 2026 JAN 23 Shift 1 Question paper

The JEE Mains 2026 Jan 23 Shift 1 (morning shift) was easy to moderate. You can also check JEE Main 2026 January 23 Shift 1 Question Paper .

Find some memory-based questions below:

Question 1: The correct order of ionisation energy of $\mathrm{Cl},\mathrm{S},\mathrm{P},\mathrm{Al},\mathrm{Si}$ is

$1\mathrm{Cl}>\mathrm{P}>\mathrm{S}>\mathrm{Si}>\mathrm{Al}$
$2\mathrm{P}>\mathrm{Cl}>\mathrm{S}>\mathrm{Al}>\mathrm{Si}$
$3\mathrm{Cl}>\mathrm{S}>\mathrm{P}>\mathrm{Si}>\mathrm{Al}$
$4\mathrm{Cl}>\mathrm{Al}>\mathrm{Si}>\mathrm{P}>\mathrm{S}$

Question 2: Given below are two statements
Statement-I : ${\left[{\mathrm{CoBr}}_4\right]}^{2-}$ absorbs lesser energy than ${\left[{\mathrm{CoCl}}_4\right]}^{2-}$
Statement-II : ${\left[{\mathrm{CoCl}}_4\right]}^{2-}$ has higher crystal field splitting energy then ${\left[{\mathrm{CoBr}}_4\right]}^{2-}$

1 Both S-I and S-II are correct

2 Both S-I and S-II are incorrect

3 S-I is correct and S-II are incorrect

4 S-I is incorrect and S-II are correct

Question 3: A rectangle is formed by lines $x=0,y=0,x=3,y=4$. A line perpendicular to $3x+4y+6=0$ divides the rectangle into two equal parts, then the distance of the line from $(-1,\frac{3}{2})$ is

$12$
$2\frac{17}{10}$
$3\frac{6}{5}$
$4\frac{8}{5}$

Question 4: Let $A=\{-2,-1,0,1,2,3,4\}$ and $R$ be a relation $R$, such that $R=\{(x,y):(2x+y)\le -2,x\in A,y\in A\}$.

Let I = number of elements in R
$m=$ minimum number of elements to be added in $R$ to make it reflexive.
n= minimum number of element
be added in $R$ to make it symmetric, then $(1+m+n)$ is
1)10

2)17

3)11
4) 14

Question 5: Find out the correct energy for the grand state or energy transition. (symbols have usual meaning & $n\to m$ gives the transition)
$1\mathrm{H}(-6.8\mathrm{eV})$
$2{\mathrm{Li}}^{2+}(-13.6\mathrm{eV})$
$3{\mathrm{He}}_{2\to 1}^{+}(40.8\mathrm{eV})$
$4{\mathrm{Be}}_2^{3+}{1}_{}(+13.6\mathrm{eV})$

JEE Main 2026 JAN 23 Shift 2 Question paper

The JEE Mains 2026 Jan 23 Shift 2 (Evening shift) was moderate. You can also check JEE Main 2026 January 23 Shift 1 Question Paper

Question 1. Match List-I with List-II.

Select the correct option.

(1) A(II), B(I), C(III), D(IV)

(2) A(I), B(II), C(III), D(IV)

(3) A(I), B(II), C(IV), D(III)

(4) A(II), B(I), C(IV), D(III)

Answer (2)

Question 2. The correct order of stability of following diazonium ions is

(1) a < b < c < d

(2) a < b < d < c

(3) c < d < b < a

(4) d < c < b < a

Stronger the electron withdrawing group attached at para position of $-{\mathrm{N}}_2{+}^{}$in diazonium ion, lesser is the stability and more electrophilicity.

Stability: $(\mathrm{d})>(\mathrm{c})>(\mathrm{b})>(\mathrm{a})$

Question 3.

Final product has one chiral centre. Structure of A is

Answer (1)

Question 4. Which of following compound contains 3 unpaired electrons?

(1) ${\mathrm{V}}_2{\mathrm{O}}_5$
(2) ${\left[{\mathrm{TiF}}_6\right]}^{3-}$
(3) ${\left[{\mathrm{CoF}}_6\right]}^{4-}$
(4) ${[\mathrm{Fe}(\mathrm{CN}{)}_6]}^{3-}$

Answer (3)

${\mathrm{V}}_2{\mathrm{O}}_5:0$ unpaired electrons
${\left[{\mathrm{TiF}}_6\right]}^{3-}:{\mathrm{Ti}}^{3+}:[\mathrm{Ar}]4s^{0}3d^1:1$ unpaired ${\mathrm{e}}^{-}$
${\left[{\mathrm{CoF}}_6\right]}^{4-}:{\mathrm{Co}}^{2+}:[\mathrm{Ar}]4s^{0}3d^7:3$ unpaired ${\mathrm{e}}^{-}$
${[\mathrm{Fe}(\mathrm{CN}{)}_6]}^{3-}:{\mathrm{Fe}}^{3+}:[\mathrm{Ar}]4s^{0}3d^5:1$ unpaired ${\mathrm{e}}^{-}$

Question 5. Consider the following molecules.

The correct order of dipole moment is

(1) A > B > C

(2) A > C > B

(3) B > A > C

(4) C > A > B

Answer (1)

Dipole moment A > B > C

JEE Main 2026 JAN 22 Shift 2 Question paper

The JEE Mains 2026 Jan 22 evening shift was slightly tougher than the morning shift with Physics being the toughest of all three. Maths was easy and chemistry was moderate and overall the paper was moderate. You can view the in depth information by download the JEE Mains 2026 January 22 Shift 2 Question Paper analysis.

Some questions from Jan 22 Shift 2 listed below:Physics

Question 1:The correct order of electron gain enthalpy (magnitude only) for group 16 elements is
1 Te > Se > S > O
2 S > Se > Te > 0
3 O > S > Se > Te
4 S > O > Se > Te

Question 2: 100 g 98 % by weight H 2 SO 4 is mixed with 100 g 49 % by weight H 2 SO 4 . Mole fraction of H 2 SO 4 solution is
1 0.9
2 0.1
3 0.67
4 0.33

Question 3:

Question 4:

(1) isopropyl but-1-yne
(2) 2-Methyl hex-2-yne
(3) 5-Methyl Hex-2-yne
(4) 2-Methyl hex - 3-yne

Question 5: Correct order of ionisation enthalpy is
1 F > Cl > Cl − > F −
2 F − > Cl − > F > Cl
3 Cl > F > Cl − > F −
4 F > Cl − > F − > Cl −

JEE Main 2026 JAN 22 Shift 1 Question paper

JEE Main 2026 – January 22 Morning Shift was moderate to tough, with Physics being the most challenging, Mathematics lengthy and calculation-intensive, and Chemistry comparatively easier and more scoring. You can download the JEE Mains 2026 January 22 Question paper Shift 1also.

Questions are provided below:Careers360 has provided you with memory-based questions below from the JEE Main 2026 January 22 Question Paper Shift 1. Along with analysis, we will be providing you with data from all subjects - Physics, Chemistry, and Maths.

Question 1: Consider the given central metal ions of low spin complex and choose the correct increasing order of unpaired electrons
${\mathrm{Mn}}^{3+},{\mathrm{Cr}}^{3+},{\mathrm{Fe}}^{3+},{\mathrm{Co}}^{3+}$
(1) ${\mathrm{Co}}^{3+}<{\mathrm{Fe}}^{3+}<{\mathrm{Mn}}^{3+}<{\mathrm{Cr}}^{3+}$
(2) ${\mathrm{Co}}^{3+}<{\mathrm{Mn}}^{3+}<{\mathrm{Fe}}^{3+}<{\mathrm{Cr}}^{3+}$
(3) ${\mathrm{Cr}}^{3+}<{\mathrm{Mn}}^{3+}<{\mathrm{Cr}}^{3+}<{\mathrm{Fe}}^{3+}$
(4) ${\mathrm{Cr}}^{3+}<{\mathrm{Mn}}^{3+}<{\mathrm{Co}}^{3+}<{\mathrm{Fe}}^{3+}$

Question 2:

Question 3: Which of the following is the correct order of the reactivity of given nucleophiles when treated with ${\mathrm{CH}}_3\mathrm{Br}$ in methanol?
${\mathrm{F}}^{-},{\mathrm{I}}^{-},{\mathrm{C}}_2{\mathrm{H}}_5\mathrm{O},{\mathrm{C}}_6{\mathrm{H}}_5{\mathrm{O}}^{-}$
$1{\mathrm{I}}^{-}>{\mathrm{C}}_2{\mathrm{H}}_5{\mathrm{O}}^{-}>{\mathrm{C}}_6{\mathrm{H}}_5{\mathrm{O}}^{-}>{\mathrm{F}}^{-}$
$2{\mathrm{I}}^{-}>{\mathrm{F}}^{-}>{\mathrm{C}}_2{\mathrm{H}}_5{\mathrm{O}}^{-}>{\mathrm{C}}_6{\mathrm{H}}_5{\mathrm{O}}^{-}$
$3{\mathrm{I}}^{-}>{\mathrm{C}}_2{\mathrm{H}}_5{\mathrm{O}}^{-}>{\mathrm{F}}^{-}>{\mathrm{C}}_6{\mathrm{H}}_5{\mathrm{O}}^{-}$
$4{\mathrm{C}}_6{\mathrm{H}}_5{\mathrm{O}}^{-}>{\mathrm{F}}^{-}>{\mathrm{I}}^{-}>{\mathrm{C}}_2{\mathrm{H}}_5{\mathrm{O}}^{-}$

Question 4: For the reaction given below at ${25}^{\circ }\mathrm{C}$

${\mathrm{A}}_2\rightleftarrows 2\mathrm{A}$

Find $\ln {\mathrm{K}}_{\mathrm{p}}$
Given ${\left(\mathrm{\Delta }{G}_f^{\circ }\right)}_A=-50.384\mathrm{kJ}/\mathrm{mol}$

${\left(\mathrm{\Delta }{G}_f^{\circ }\right)}_{A_2}=-100\mathrm{kJ}/\mathrm{mol}$

(1) 0.43
(2) 0.23
(3) 0.31
(4) 0.53

Question 5:

Statement-I : Sucrose is dextrorotary and upon hydrolysis it becomes laevorotatory.
Statement-II : Sucrose on hydrolysis gives glucose and fructose such that the laevorotation of glucose is more than dextrorotation of fructose.

1 Both Statement-I and Statement-II are correct

2 Both Statement-I and Statement-II are incorrect

3 Statement-I is correct, Statement-II is incorrect

4 Statement-II is correct, Statement-I is incorrect

JEE Main 2026 JAN 21 Shift 2 Question paper

You can get the details by downloading JEE Main 2026 January 21 Question Paper Shift 2 with Solutions . The JEE Main 2026 January 21 Evening Shift paper was easy to moderate. The level of difficulty matched that of the January 2025 sessions. Among all the three subjects, Chemistry was the easiest, followed by Mathematics. Physics was the most scoring. Find more details below:

Some memory based questions are given belQuestion 1: 1 g of an organic compound produce 1.49 of ${\mathrm{Mg}}_2{\mathrm{P}}_2{\mathrm{O}}_7$ Determine % of P

Question 2: Given below are two statements
Statement-I : The correct order for radius is $\mathrm{Al}>\mathrm{Mg}>{\mathrm{Mg}}^{2+}>{\mathrm{A}}^{\beta +}$
Statement-II : Atomic size always, depends on electronegativity.
In the light of the above statements, choose the correct option.

1 Statement-I and II are correct

2 Both Statement-I and II are incorrect

3 Statement-I is correct but Statement-II incorrect

4 Statement-I is incorrect but Statement-II correct

Question 3: What will be significant figure of summation of $0.153,153.2$ and 153.2 ?

1) 3

2) 4

3) 5

4) 6

Question 4: When $8.74\mathrm{g}{\mathrm{MnO}}_2$ is treated with HCl , then what will be the weight of ${\mathrm{Cl}}_2(\mathrm{g})$ obtained? Molar mass of ${\mathrm{MnO}}_2=87.4\mathrm{g}/\mathrm{mol}$
$17.1\mathrm{g}$
$217.1\mathrm{g}$
$314.2\mathrm{g}$
$43.55\mathrm{g}$

Question 5: The rms speed of oxygen molecules at ${47}^{\circ }\mathrm{C}$ is equal to that of hydrogen molecules kept at ${\circ }^{}\mathrm{C}(\frac{M(0)}{M(h)}=\frac{32}{2})$
(A) -100
(B) -253
(C) -20
(D) -235ow:

JEE Main 2026 JAN 21 Shift 1 Question paper

This shift was slightly tougher in terms of difficulty than last year. Some questions will be given below soon. You can check the JEE Mains Jan 21 Shift 1 Question Paper and the analysis table below:

Some memory based questions are given belQuestion 1:

Solution: Option (1) is correct

Question 2: In Sulphur estimation, 0.7 g of an organic compound gives 1 g of BaSO4 by Carius method. What is the % of ‘S’ in compound?

(1) 19.61

(2) 23.85

(3) 27.93

(4) 14.57

Answer: Correct answer is option (1)

Question 3: Which of the following is the correct order with respect to the property indicated?
(1) $\mathrm{CI}>\mathrm{F}$ (Ionisation energy)
(2) ${\mathrm{K}}_2\mathrm{O}>{\mathrm{Na}}_2\mathrm{O}>{\mathrm{Al}}_2{\mathrm{O}}_3$ (Basic nature)
(3) $\mathrm{K}>\mathrm{Na}>\mathrm{Al}>\mathrm{Mg}$ (Metallic character)
(4) None of these

Answer: Correct answer is option (2)

Question 4: In 'S' estimation 0.7 g of an organic compound gives 1 g BaSO4. in Carius method. What is the % of ' S ' in compound?
1) 19.61
2) 23.85
3) 27.93
4) 14.57

Question 5: Consider the following reaction

$\mathrm{Ca}+2\mathrm{HCl}\to {\mathrm{CaCl}}_2+{\mathrm{H}}_2$

We have 14 g Ca reacts with excess of HCl . Choose the incorrect option.
(1) Mass of ${\mathrm{CaCl}}_2$ produced is 38.85 g
(2) Mole of ${\mathrm{H}}_2$ produced is 0.35 mol
(3) Volume of ${\mathrm{H}}_2$ produced at STP is 7.84 L
(4) Mass of ${\mathrm{CaCl}}_2$ produced is 3.885 g

Answer: Correct answer is option (4)

Question 6: Given below are two statements.
Statement 1 : Arginine and Tryptophan are essential amino acids.
Statement 1 : Glycine does not have any chiral carbon.
In the light of the above statements, which is the correct option.

Both statement-I and statement-II are correct

2 Both statement-I and statement-II are incorrect
3 Statement-I is correct and statement-II is incorrect
4 Statement-I is incorrect and statement-II is correctow:

• JEE Main- Top 30 Most Repeated Questions & Topics
• Most Scoring Concepts For JEE Mains 2025 April Session
• Most Scoring Concepts For JEE Mains 2025 January Session

JEE Mains 2025 Question Paper

The recent previous year question paper, i.e., JEE Mains 2025 question paper, must be solved by students before appearing for the JEE Mains paper 2026. It is an important study material for students which will help them understand how their preparation is coming along. You can view the JEE Mains 2025 question paper below:

JEE Main Previous Year Question Paper

In this section we will see the JEE Mains previous years question paper. This is for you to familiarize yourself to the type of questions to expect in your exam. There have been changes in the syllabus so you must only solve questions that are included in the JEE Mains 2026 syllabus. You can download the JEE Mains 2026 paper from the link below:

If you are studying subject wise and want to download the JEE 2026 Mains model question paper with detailed answers per subject, we have given it below:

• Last 5 years JEE Main Maths question paper with solution

• Last 5 years JEE Main Chemistry question paper with solution

• Last 5 years JEE Main Physics question paper with solution

You can also practice the JEE Mains 2026 sample paper:

JEE Main 2026 Exam Pattern

Let us understand the JEE Mains exam pattern and also go through JEE Mains 2026 model questions:

Note: Incorrect answer will have negative marking of 1 from MCQs but there is no negative marking in case of incorrect answers in numerical questions.