List of top Questions asked in MHT CET

Which of the following gases is produced when zinc reacts with dilute hydrochloric acid?
What is the pH of a 0.1 M NaOH solution?
A mass of \( 0.5 \, \text{kg} \) is attached to a spring with a spring constant \( k = 200 \, \text{N/m} \). The mass is displaced by \( 0.1 \, \text{m} \) from its equilibrium position. What is the potential energy stored in the spring?
A convex lens has a focal length of \( 20 \, \text{cm} \). An object is placed at a distance of \( 30 \, \text{cm} \) from the lens. What is the position of the image formed?
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?
In how many ways can 5 people be arranged in a row?
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?
A die is rolled. What is the probability of getting a number less than or equal to 4?
The value of the integral \( \int_0^1 x^2 \, dx \) is:
If \( z = 3 + 4i \), then the modulus of \( z \) is:
The general solution of the differential equation \( \frac{dy}{dx} = 3x^2 \) 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?
If the roots of the quadratic equation \( x^2 - 7x + 12 = 0 \) are \( \alpha \) and \( \beta \), then the value of \( \alpha + \beta \) is:
The value of the definite integral \( \int_0^{\pi} \sin^2 x \, dx \) is:
An electron enters a magnetic field of magnitude 0.05 T at a speed of \(3 \times 10^6\) m/s making an angle of 30° with the field direction. What is the magnitude of magnetic force on it? (Charge of electron = \(1.6 \times 10^{-19}\) C)
Which of the following is the correct IUPAC name for the compound with the molecular formula \( C_5H_{12} \) that contains a branched chain with a methyl group attached to the second carbon of a butane chain?
IUPAC name of the following compound:
Which of the following is an example of homologous structures that provide evidence for evolution?
A simple pendulum of length 1 m is oscillating with a small amplitude. If the acceleration due to gravity is \( 9.8 \, \text{m/s}^2 \), what is the time period of the pendulum?
In adiabatic compression, which of the following is true?
A pipe has a radius of 2 cm at one end and 1 cm at the other end. The velocity of the water at the wider end is 5 m/s. What is the velocity of the water at the narrower end, assuming incompressible flow?
What is the molarity of a solution prepared by dissolving 5.85 g of NaCl in water to make 250 mL of solution? (Molar mass of NaCl = \( 58.5 \, \text{g/mol} \)).
What volume of oxygen gas at STP is required to completely burn 12 g of methane (\( \text{CH}_4 \))? (Molar mass of \( \text{CH}_4 = 16 \, \text{g/mol} \), 1 mole of gas at STP occupies \( 22.4 \, \text{L} \)).
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?