List of top Questions asked in MHT CET- 2025

The r.m.s. speed of gas molecules at 800 K will be
Evaluate the integral: \[ \int \frac{\sqrt{\tan x}}{\sin x \cos x} \, dx \]
Two gases A and B are at absolute temperatures 350 K and 420 K respectively. The ratio of average kinetic energy of the molecules of gas B to that of gas A is
The distance between the lines represented by \[ 16x^2 + 9y^2 + 48x - 24xy - 36y + 35 = 0 \] is ......... units
In a DNA molecule, which of the following base-pairings is correct?
A car accelerates uniformly from rest to a velocity of \( 25 \, \text{m/s} \) in \( 10 \, \text{seconds} \). What is the acceleration of the car?
For a gas at a particular temperature on an average, the quantity which remains same for all molecules is
Population of Town A and B was 20,000 in 1985. In 1989, the population of Town A was 25,000, and Town B had 28,000. What will be the difference in population between the two towns in 1993?
Calculate the mass in kg of 4.48 dm$^3$ carbon dioxide at STP.
Find the value of the determinant \( \begin{vmatrix} 2 & 3 \\ 4 & 5 \end{vmatrix} \).
Identify the element having highest ionisation enthalpy ( $IE_1$ ) from following.
$\lim_{x \to 0} \frac{63^x - 9^x - 7^x + 1}{\sqrt{2} - \sqrt{1 + \cos x}} = \dots$
Which from following compounds contains complex anions?
A body of mass \( 5 \, \text{kg} \) is placed on a frictionless inclined plane of angle \( 30^\circ \). What is the component of the weight of the body along the plane?
If \( \tan \theta = 2 \), then the value of \( \sec^2 \theta \) is:
A car of mass 1000 kg is moving in a circular path of radius 50 m with a speed of 20 m/s. Calculate the centripetal force acting on the car.
A lens has focal length $ f = 20 \, \text{cm} $. What is the power of the lens?
If r.m.s. velocity of hydrogen molecules is 4 times that of an oxygen molecule at $47^{\circ}\text{C}$, the temperature of hydrogen molecules is (Molecular weight of Hydrogen and Oxygen are 2 and 32 respectively)}
Which cation from following exhibits no magnetic moment?
If $f(x) = \sqrt{1 + \cos^2(x^2)}$, then $f'(\frac{\sqrt{\pi}}{2})$ is ______.
Matrix A is non-singular matrix and $(A - 3I)(A - 5I) = 0$, then $\frac{15}{8} A^{-1} = \dots\dots$
A convex lens has a focal length of 20 cm. An object is placed 30 cm in front of the lens. What is the image distance from the lens?
A solution contains 10 g of NaOH dissolved in 500 mL of water. What is the molarity of the NaOH solution?
When one end of a capillary tube is dipped in water, the height of water column is 'h'. The upward force of 105 dyne due to surface tension is balanced by the weight of water column. The inner circumference of the capillary tube is ______.
A ball is dropped on the floor from a height of \(20 \text{ m}\). It rebounds to a height of \(5 \text{ m}\). Ball remains in contact with floor for \(1 \text{ s}\). The average acceleration during contact is (\(g = 10 \text{ m/s}^2\))