List of top Questions asked in MHT CET

A gas expands from an initial volume of \( V_1 = 1 \, \text{m}^3 \) to a final volume of \( V_2 = 3 \, \text{m}^3 \) under constant pressure of \( P = 2 \, \text{atm} \). What is the work done by the gas during this expansion?
Two charges of \( +2 \, \mu\text{C} \) and \( -2 \, \mu\text{C} \) are placed 1 meter apart. What is the force between them?
A force of \( 10 \, \text{N} \) acts on a body and moves it through a displacement of \( 5 \, \text{m} \) in the direction of the force. What is the work done by the force?
A car accelerates uniformly from rest and attains a velocity of \( 20 \, \text{m/s} \) in 10 seconds. What is the acceleration of the car?
The feasible region of the linear programming problem is determined by the system of inequalities: \[ x + y \leq 6, \quad x \geq 0, \quad y \geq 0. \] What is the maximum value of \( x + y \) in the feasible region?
In how many ways can 5 people be arranged in a row?
A die is rolled. What is the probability of getting a number less than or equal to 4?
If \( z = 3 + 4i \), then the modulus of \( z \) is:
The value of the integral \( \int_0^1 x^2 \, dx \) is:
The maximum value of the function \( f(x) = -2x^2 + 4x + 1 \) occurs at:
If \( A = \begin{bmatrix} 2 & 1
3 & 4 \end{bmatrix} \), then the determinant of matrix \( A \) is:
The general solution of the differential equation \( \frac{dy}{dx} = 3x^2 \) is:
If the roots of the quadratic equation \( x^2 - 7x + 12 = 0 \) are \( \alpha \) and \( \beta \), then the value of \( \alpha + \beta \) is:
If \( \tan \theta = 2 \), then the value of \( \sec^2 \theta \) is:
A bag contains 5 red balls and 3 green balls. If two balls are drawn at random without replacement, what is the probability that both balls drawn are red?
The distance between the points \( A(3, 4) \) and \( B(-1, -2) \) is:
The value of the definite integral \( \int_0^{\pi} \sin^2 x \, dx \) is:
In flowering plants, which structure develops into the fruit after fertilization?
In a cross between a pea plant heterozygous for round seeds (Rr) and a plant with wrinkled seeds (rr), what is the expected phenotypic ratio of the offspring?
Which organelle in a eukaryotic cell is primarily responsible for synthesizing proteins destined for secretion?
In the human heart, which chamber receives oxygenated blood from the lungs?
Which of the following is an example of homologous structures that provide evidence for evolution?
Which of the following microorganisms is used in the production of curd from milk?
In a DNA molecule, if the percentage of adenine (A) is 30\%, what is the percentage of cytosine (C)?
In flowering plants, the process of double fertilization results in the formation of which two structures?