List of top Questions asked in JEE Main- 2026

Let $A = \{2, 3, 5, 7, 9\}$. Let $R$ be the relation on $A$ defined by $xRy$ if and only if $2x \le 3y$. Let $l$ be the number of elements in $R$, and $m$ be the minimum number of elements required to be added in $R$ to make it a symmetric relation. Then $l + m$ is equal to :

Let $z$ be the complex number satisfying $|z - 5| \le 3$ and having maximum positive principal argument. Then $34 \left| \frac{5z - 12}{5iz + 16} \right|^2$ is equal to :

Let $ S = \{z : 3 \le |2z - 3(1+i)| \le 7\ $ be a set of complex numbers. Then $ \min_{z \in S} \left| z + \frac{1}{2}(5+3i) \right| $ is equal to :}

Let $A$ be the focus of the parabola $y^2=8x$. Let the line $y=mx+c$ intersect the parabola at two distinct points $B$ and $C$. If the centroid of triangle $ABC$ is $\left(\frac{7}{3},\frac{4}{3}\right)$, then $(BC)^2$ is equal to:

Identify the correct truth table of the given logic circuit.

MnO₄²⁻, in acidic medium, disproportionates to:

The wavelength of spectral line obtained in the spectrum of Li$^{2+}$ ion, when the transition takes place between two levels whose sum is 4 and difference is 2, is

Consider a mixture $X$ which is made by dissolving $0.4$ mol of $[\mathrm{Co(NH_3)_5SO_4}]Br$ and $0.4$ mol of $[\mathrm{Co(NH_3)_5Br}]SO_4$ in water to make $4$ L of solution. When $2$ L of mixture $X$ is allowed to react with excess $\mathrm{AgNO_3}$, it forms precipitate $Y$. The rest $2$ L of mixture $X$ reacts with excess $\mathrm{BaCl_2}$ to form precipitate $Z$. Which of the following statements is CORRECT?

Let $z=(1+i)(1+2i)(1+3i)\cdots(1+ni)$, where $i=\sqrt{-1}$. If $|z|^2=44200$, then $n$ is equal to

Number of solutions of $ \sqrt{3} \cos 2\theta + 8 \cos \theta + 3\sqrt{3} = 0, \theta \in [-3\pi, 2\pi] $ is:

The escape velocity from a spherical planet $A$ is $10\ \text{km/s}$. The escape velocity from another planet $B$, whose density and radius are $10%$ of those of planet $A$, is _______ m/s.

Let $ a_1 = 1 $ and for $ n \ge 1 $, \[ a_{n+1} = \frac{1}{2}a_n + \frac{n^2 - 2n - 1}{n^2 (n+1)^2}. \] Then \[ \sum_{n=1}^{\infty} \left( a_n - \frac{2}{n^2} \right) \] is equal to

Structures of four disaccharides are given below. Among the given disaccharides, the non-reducing sugar is:

A current carrying solenoid is placed vertically and a particle of mass m with charge Q is released from rest. The particle moves along the axis of solenoid. If g is acceleration due to gravity then the acceleration (a) of the charged particle will satisfy:

The temperature at which the rate constants of the given below two gaseous reactions become equal is ____________ K (Nearest integer).
\[ X \longrightarrow Y, \qquad k_1 = 10^{6} e^{-\frac{30000}{T}} \] \[ P \longrightarrow Q, \qquad k_2 = 10^{4} e^{-\frac{24000}{T}} \] Given: $ \ln 10 = 2.303 $

Let $ \vec{a} = 2\hat{i} - \hat{j} + \hat{k} $ and $ \vec{b} = \lambda \hat{j} + 2\hat{k} $, where $ \lambda \in \mathbb{Z} $, be two vectors. Let $ \vec{c} = \vec{a} \times \vec{b} $ and $ \vec{d} $ be a vector of magnitude $2$ in the $yz$-plane. If $ |\vec{c}| = \sqrt{53} $, then the maximum possible value of $ (\vec{c}\cdot\vec{d})^2 $ is equal to

The volume of an ideal gas increases $ 8 $ times and the temperature becomes $ \frac{1}{4} $ of the initial temperature during a reversible change.

If there is no exchange of heat in this process $ (\Delta Q = 0) $, then identify the gas from the following options (assuming the gases given in the options are ideal gases):

The wavelength of light while it is passing through water is $540\,\text{nm}$. The refractive index of water is $ \frac{4}{3} $. The wavelength of the same light when it is passing through a transparent medium having refractive index of $ \frac{3}{2} $ is _________ nm.

In parallax method for the determination of focal length of a concave mirror, the object should always be placed:

If the mean deviation about the median of the numbers \[ k,\,2k,\,3k,\,\ldots,\,1000k \] is $500$, then $k^2$ is equal to

For a given reaction at 400 K (R = 0.082 atm-L/mol-K) \[ xA \longleftrightarrow yB \] Given (i) $K_f = 0.82$, $K_c = 25.7$
(ii) $K_f = 8.2$, $K_c = 0.25$
Then which will be the correct combination of x & y for above set (i) & set (ii) data?

Identify the correct statements:
A. Hydrated salts can be used as primary standard.
B. Primary standard should not undergo any reaction with air.
C. Reactions of primary standard with another substance should be instantaneous and stoichiometric.
D. Primary standard should not be soluble in water.
E. Primary standard should have low relative molar mass.
Choose the correct answer from the options given below:

Evaluate: \[ \frac{6}{3^{26}}+\frac{10\cdot1}{3^{25}}+\frac{10\cdot2}{3^{24}}+\frac{10\cdot2^{2}}{3^{23}}+\cdots+\frac{10\cdot2^{24}}{3}. \]

Let $y=y(x)$ be the solution of the differential equation \[ x\frac{dy}{dx}=y-x^2\cot x,\quad x\in(0,\pi) \] If $y\!\left(\frac{\pi}{2}\right)=\frac{\pi^2}{2}$, then \[ 6y\!\left(\frac{\pi}{6}\right)-8y\!\left(\frac{\pi}{4}\right) \] is equal to:

A small block of mass $m$ slides down from the top of a frictionless inclined surface, while the inclined plane is moving towards left with constant acceleration $a_0$. The angle between the inclined plane and ground is $\theta$ and its base length is $L$. Assuming that initially the small block is at the top of the inclined plane, the time it takes to reach the lowest point of the inclined plane is _______.