Paper 1
JEE Advanced 2026 — Mock Test 1 (Paper 1)
JEE Advanced 2026 Mock Series
3 hDuration
102Total Marks
33Questions
9Sections
Full-length mock paper modelled on the JEE Advanced 2026 pattern. Three subjects, three sections each, mixing single-correct, multi-correct (with partial marks), and numerical-answer questions.
Instructions
1. The paper has 3 sections per subject.
2. Section A: 4 single-correct MCQs (+3 / 0 / -1).
3. Section B: 3 multi-correct MCQs (+4 / partial / -2).
4. Section C: 4 numerical-answer questions (+3 / 0 / 0).
5. Use of calculator and scratch paper is permitted.
Paper Structure
Physics
Section A — Single Correct (4 questions, +3 / -1)
Exactly one option is correct.
Q1.
mcq single
+3 / -1
A point charge $+q$ is placed at the centre of a cube. The flux through one face of the cube is:
Q2.
mcq single
+3 / -1
A particle of mass $m$ moving in a circle of radius $r$ with speed $v$ has angular momentum:
Q3.
mcq single
+3 / -1
The de Broglie wavelength of a particle is inversely proportional to its:
Q4.
mcq single
+3 / -1
In Young's double-slit experiment, fringe width is doubled when:
Section B — Multi Correct (3 questions, +4 / partial / -2)
One or more options may be correct. Partial credit only when all marked options are correct and at least one correct option is unmarked.
Q5.
mcq multi
+4 / -2
For a body in simple harmonic motion, which of the following are TRUE?
Q6.
mcq multi
+4 / -2
A capacitor connected to a battery and then disconnected. Which quantities remain constant when a dielectric is then inserted?
Q7.
mcq multi
+4 / -2
Concerning electromagnetic waves in vacuum:
Section C — Numerical Answer (4 questions, +3 / 0)
Answer is a numerical value. Round to two decimal places where applicable.
Q8.
numerical
+3 / 0
A car accelerates uniformly from rest to $20 \,\mathrm{m/s}$ in $5 \,\mathrm{s}$. Find the acceleration in $\mathrm{m/s^2}$.
Q9.
numerical
+3 / 0
A 100 g object falls from height 5 m. Take $g=10\,\mathrm{m/s^2}$. Find the kinetic energy on impact in joules.
Q10.
numerical
+3 / 0
In an LC circuit, $L=2\,\mathrm{mH}$ and $C=0.5\,\mu\mathrm{F}$. Find the resonant frequency to the nearest kHz.
Q11.
numerical
+3 / 0
A wire of length 2 m and resistance $4\,\Omega$ is stretched to twice its length. Find the new resistance in ohms.
Chemistry
Section A — Single Correct (4 questions, +3 / -1)
Exactly one option is correct.
Q12.
mcq single
+3 / -1
The number of $\sigma$ and $\pi$ bonds in benzene ($\mathrm{C_6H_6}$) are respectively:
Q13.
mcq single
+3 / -1
Which of the following has the highest first ionization energy?
Q14.
mcq single
+3 / -1
The hybridization of central atom in $\mathrm{XeF_4}$ is:
Q15.
mcq single
+3 / -1
Which compound exhibits geometrical isomerism?
Section B — Multi Correct (3 questions, +4 / partial / -2)
One or more options may be correct. Partial credit only when all marked options are correct and at least one correct option is unmarked.
Q16.
mcq multi
+4 / -2
Which of the following are TRUE for an ideal gas?
Q17.
mcq multi
+4 / -2
Which species are paramagnetic?
Q18.
mcq multi
+4 / -2
Concerning $S_N1$ reactions, which are correct?
Section C — Numerical Answer (4 questions, +3 / 0)
Answer is a numerical value. Round to two decimal places where applicable.
Q19.
numerical
+3 / 0
Find the pH of $0.01\,\mathrm{M}$ HCl.
Q20.
numerical
+3 / 0
Number of moles of $\mathrm{O_2}$ required to completely combust 1 mol of methane.
Q21.
numerical
+3 / 0
Mass (in grams) of $\mathrm{Na_2 SO_4}$ in 250 mL of 0.1 M solution. Take $M = 142\,\mathrm{g/mol}$.
Q22.
numerical
+3 / 0
Number of unpaired electrons in $\mathrm{Fe^{3+}}$ ion.
Mathematics
Section A — Single Correct (4 questions, +3 / -1)
Exactly one option is correct.
Q23.
mcq single
+3 / -1
If $f(x) = x^3 - 3x + 2$, the number of real roots of $f(x) = 0$ is:
Q24.
mcq single
+3 / -1
The value of $\displaystyle\int_0^{\pi/2} \sin^2 x \, dx$ is:
Q25.
mcq single
+3 / -1
The number of solutions of $\sin x = \dfrac{x}{10}$ in $[0, 2\pi]$ is:
Q26.
mcq single
+3 / -1
If $A$ is a $3\times 3$ matrix with $\det(A) = 5$, then $\det(2A)$ is:
Section B — Multi Correct (3 questions, +4 / partial / -2)
One or more options may be correct. Partial credit only when all marked options are correct and at least one correct option is unmarked.
Q27.
mcq multi
+4 / -2
Let $f(x) = |x| + |x-1|$. Which are TRUE?
Q28.
mcq multi
+4 / -2
For the matrix $A=\begin{pmatrix}1&2\\3&4\end{pmatrix}$, which are correct?
Q29.
mcq multi
+4 / -2
Which of the following series converge?
Section C — Numerical Answer (4 questions, +3 / 0)
Answer is a numerical value. Round to two decimal places where applicable.
Q30.
numerical
+3 / 0
If $\sum_{k=1}^{n} k = 55$, find $n$.
Q31.
numerical
+3 / 0
The number of integer solutions to $x^2 + y^2 = 25$ with $x, y \ge 0$.
Q32.
numerical
+3 / 0
If $\binom{10}{r} = \binom{10}{r+2}$, find $r$.
Q33.
numerical
+3 / 0
The value of $\lim_{x \to 0} \dfrac{\sin 3x}{x}$.