List of top Questions asked in JEE Main- 2025

Let R = {(1, 2), (2, 3), (3, 3)}} be a relation defined on the set $ \{1, 2, 3, 4\} $. Then the minimum number of elements needed to be added in $ R $ so that $ R $ becomes an equivalence relation, is:

The value of $ (\sin 70^\circ)(\cot 10^\circ \cot 70^\circ - 1) $ is:

Given below are two statements: Statement (I):

are isomeric compounds.
Statement (II):

are functional group isomers.
In the light of the above statements, choose the correct answer from the options given below:

The total number of compounds from below when treated with hot KMnO4 giving benzoic acid is:

The product B formed in the following reaction sequence is: \[ {C}_6{H}_5{CN} \xrightarrow{{HCl}} (A) \xrightarrow{{AgCN}} (B) \]

Suppose that the number of terms in an A.P. is $ 2k, k \in \mathbb{N} $. If the sum of all odd terms of the A.P. is 40, the sum of all even terms is 55, and the last term of the A.P. exceeds the first term by 27, then $ k $ is equal to:

Density of 3 M NaCl solution is 1.25 g/mL. The molality of the solution is:

The incorrect statements regarding geometrical isomerism are:
(A) Propene shows geometrical isomerism.
(B) Trans isomer has identical atoms/groups on the opposite sides of the double bond.
(C) Cis-but-2-ene has higher dipole moment than trans-but-2-ene.
(D) 2-methylbut-2-ene shows two geometrical isomers.
(E) Trans-isomer has lower melting point than cis isomer.

Let $ a_n $ be the $ n $-th term of an A.P. If $ S_n = a_1 + a_2 + a_3 + \cdots + a_n = 700 $, $ a_6 = 7 $, and $ S_7 = 7 $, then $ a_n $ is equal to:

The electric field of an electromagnetic wave in free space is \[ \vec{E} = \] \[57 \cos \left[7.5 \times 10^6 t - 5 \times 10^{-3} (3x + 4y)\right] \left( 4\hat{i} - 3\hat{j} \right) \, \text{N/C}. \] The associated magnetic field in Tesla is:

Suppose that the number of terms in an A.P. is $ 2k, k \in \mathbb{N} $. If the sum of all odd terms of the A.P. is 40, the sum of all even terms is 55, and the last term of the A.P. exceeds the first term by 27, then $ k $ is equal to:

A particle is projected with velocity $ u $ so that its horizontal range is three times the maximum height attained by it. The horizontal range of the projectile is given as $ \frac{nu^2}{25g} $, where value of $ n $ is : (Given 'g' is the acceleration due to gravity).

The truth table for the circuit given below is:

Choose the correct answer from the options given below:

In the given circuit the sliding contact is pulled outwards such that the electric current in the circuit changes at the rate of 8 A/s. At an instant when R is 12 Ω, the value of the current in the circuit will be A.

Two balls are projected with the same speed at different angles. If the maximum height of the first ball is 2 times the maximum height of the second ball, find the ratio of their time of flight.

Let a circle C pass through the points (4, 2) and (0, 2), and its centre lie on $3x + 2y + 2 = 0$. Then the length of the chord of the circle C, whose midpoint is (1, 2), is:

Given below are two statements:

Statement (I):
are isomeric compounds.

Statement (II):
are functional group isomers.

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

Let $ A(6,8) $, $ B(10\cos\alpha, -10\sin\alpha) $, and $ C(-10\sin\alpha, 10\cos\alpha) $ be the vertices of a triangle. If $ L(a,9) $ and $ G(h,k) $ be its orthocenter and centroid respectively, then $ 5a - 3h + 6k + 100\sin2\alpha $ is equal to _____ .

Let I be the identity matrix of order 3 × 3 and for the matrix $ A = \begin{pmatrix} \lambda & 2 & 3 \\ 4 & 5 & 6 \\ 7 & -1 & 2 \end{pmatrix} $, $ |A| = -1 $. Let B be the inverse of the matrix $ \text{adj}(A \cdot \text{adj}(A^2)) $. Then $ |(\lambda B + I)| $ is equal to _______

Assume a living cell with 0.9% ($w/w$) of glucose solution (aqueous). This cell is immersed in another solution having equal mole fraction of glucose and water. (Consider the data up to first decimal place only) The cell will:

Two balls with the same mass and initial velocity are projected at different angles in such a way that the maximum height reached by the first ball is 8 times higher than that of the second ball. $ T_1 $ and $ T_2 $ are the total flying times of the first and second ball, respectively, then the ratio of $ T_1 $ and $ T_2 $ is:

2.8 $ \times 10^{-3} $ mol of $ \text{CO}_2 $ is left after removing $ 10^{21} $ molecules from its ‘$ x $’ mg sample. The mass of $ \text{CO}_2 $ taken initially is: Given: $ N_A = 6.02 \times 10^{23} \, \text{mol}^{-1} $

For a $ 3 \times 3 $ matrix $ M $, let trace(M) denote the sum of all the diagonal elements of $ M $. Let $ A $ be a $ 3 \times 3 $ matrix such that $ |A| = \frac{1}{2} $ and $ \text{trace}(A) = 3 $. If $ B = \text{adj}(\text{adj}(2A)) $, then the value of $ |B| + \text{trace}(B) $ equals:

The number of terms of an A.P. is even; the sum of all the odd terms is 24, the sum of all the even terms is 30 and the last term exceeds the first by $ \frac{21}{2} $. Then the number of terms which are integers in the A.P. is:

Two projectiles are fired with the same initial speed from the same point on the ground at angles of $ (45^\circ - \alpha) $ and $ (45^\circ + \alpha) $, respectively, with the horizontal direction. The ratio of their maximum heights attained is: