List of top Questions asked in JEE Main- 2025

Which of the following circuits has the same output as that of the given circuit?

A point particle of charge $ Q $ is located at $ P $ along the axis of an electric dipole 1 at a distance $ r $ as shown in the figure. The point $ P $ is also on the equatorial plane of a second electric dipole 2 at a distance $ r $. The dipoles are made of opposite charge $ q $ separated by a distance $ 2a $. For the charge particle at $ P $ not to experience any net force, which of the following correctly describes the situation?

If the range of the function $ f(x) = \sqrt{3 - x} + \sqrt{5 + x} $ is $[\alpha, \beta]$, then $ \alpha^2 + \beta^2 $ is equal to:

The largest $ n \in \mathbb{N} $ such that $ 3^n $ divides 50! is:

The distance of the line $ \frac{x - 2}{2} = \frac{y - 6}{3} = \frac{z - 3}{4} $ from the point $ (1, 4, 0) $ along the line $ \frac{x}{1} = \frac{y - 2}{2} = \frac{z + 3}{3} $ is:

Two biased dice are rolled. Out of which one die contains 1, 1, 2, 2, 3, 3, and another die contains 1, 2, 2, 3, 3, 4. Then the probability of getting a sum of 4 or 5 is:

The total number of ways the word 'DAUGHTER' can be arranged so that all vowels don't occur together:

Let the equation of the circle, which touches x-axis at the point $ (a, 0) $ and cuts off an intercept of length $ b $ on y-axis be $ x^2 + y^2 - cx + dy + e = 0 $. If the circle lies below x-axis, then the ordered pair $ (2a, b^2) $ is equal to:

If $ f(x) = \frac{2^x}{2^x + \sqrt{2}} $, $x \in \mathbb{R}$, then $ \sum_{k=1}^{81} f\left(\frac{k}{82}\right) $ is equal to:

Let $ ABC $ be a triangle formed by the lines $ 7x - 6y + 3 = 0 $, $ x + 2y - 31 = 0 $, and $ 9x - 2y - 19 = 0 $.
Let the point $ (h, k) $ be the image of the centroid of $ \triangle ABC $ in the line $ 3x + 6y - 53 = 0 $. Then $ h^2 + k^2 + hk $ is equal to:

Consider an A.P. of positive integers, whose sum of the first three terms is 54 and the sum of the first twenty terms lies between 1600 and 1800. Then its 11th term is:

For positive integers $ n $, if $ 4 a_n = \frac{n^2 + 5n + 6}{4} $ and $$ S_n = \sum_{k=1}^{n} \left( \frac{1}{a_k} \right), \text{ then the value of } 507 S_{2025} \text{ is:} $$

Let circle $C$ be the image of
$$ x^2 + y^2 - 2x + 4y - 4 = 0 $$
in the line
$$ 2x - 3y + 5 = 0 $$
and $A$ be the point on $C$ such that $OA$ is parallel to the x-axis and $A$ lies on the right-hand side of the centre $O$ of $C$.
If $B(\alpha, \beta)$, with $\beta < 4$, lies on $C$ such that the length of the arc $AB$ is $\frac{1}{6}$ of the perimeter of $C$, then $\beta - \sqrt{3}\alpha$ is equal to:

The remainder when $ \left( (64)^{64} \right)^{64} $ is divided by 7 is equal to:

Let the angle $ \theta, 0<\theta<\frac{\pi}{2} $ between two unit vectors $ \hat{a} $ and $ \hat{b} $ be $ \sin^{-1} \left( \frac{\sqrt{65}}{9} \right) $. If the vector $ \vec{c} = 3\hat{a} + 6\hat{b} + 9(\hat{a} \times \hat{b}) $, then the value of $ 9(\vec{c} \cdot \hat{a}) - 3(\vec{c} \cdot \hat{b}) $ is:

Line $ L_1 $ passes through the point (1, 2, 3) and is parallel to z-axis. Line $ L_2 $ passes through the point $ (\lambda, 5, 6) $ and is parallel to y-axis. Let for $ \lambda = \lambda_1, \lambda_2, \lambda_2<\lambda_1 $, the shortest distance between the two lines be 3. Then the square of the distance of the point $ (\lambda_1, \lambda_2, 7) $ from the line $ L_1 $ is

If $ \theta \in [-2\pi,\ 2\pi] $, then the number of solutions of $$ 2\sqrt{2} \cos^2\theta + (2 - \sqrt{6}) \cos\theta - \sqrt{3} = 0 $$ is:

Given below are two statements:
Statement I: In the oxalic acid vs KMnO$_4$ (in the presence of dil H$_2$SO$_4$) titration the solution needs to be heated initially to 60°C, but no heating is required in Ferrous ammonium sulphate (FAS) vs KMnO$_4$ titration (in the presence of dil H$_2$SO$_4$).

Statement II: In oxalic acid vs KMnO$_4$ titration, the initial formation of MnSO$_4$ takes place at high temperature, which then acts as catalyst for further reaction. In the case of FAS vs KMnO$_4$, heating oxidizes Fe$^{2+}$ into Fe$^{3+}$ by oxygen of air and error may be introduced in the experiment.

In the light of the above statements, choose the correct answer from the options given below:

Which of the following is the correct order of acidic strength for the following compounds: HNO$_3$, HClO$_4$, and HClO$_3$?

The major product of the following reaction is:

Nature of compounds TeO₂ and TeH₂ is___________ and ______________respectively.

On combustion of 0.21 g of an organic compound containing C, H, and O, it gave 0.127 g of H$_2$O and 0.307 g of CO$_2$. The percentage of H and O in the given organic compound respectively are:

A hemispherical vessel is completely filled with a liquid of refractive index $ \mu $. A small coin is kept at the lowest point $ O $ of the vessel as shown in the figure. The minimum value of the refractive index of the liquid so that a person can see the coin from point $ E $ (at the level of the vessel) is:

A long straight wire of a circular cross-section with radius $ a $ carries a steady current $ I $. The current is uniformly distributed across this cross-section. The plot of magnitude of magnetic field $ B $ with distance $ r $ from the centre of the wire is given by:

Bag $ B_1 $ contains 6 white and 4 blue balls, Bag $ B_2 $ contains 4 white and 6 blue balls, and Bag $ B_3 $ contains 5 white and 5 blue balls. One of the bags is selected at random and a ball is drawn from it. If the ball is white, then the probability that the ball is drawn from Bag $ B_2 $ is: