List of top Questions asked in MHT CET- 2025

If \( x^y + y^x = a^b \), then \( \frac{dy}{dx} \) at \( x = 1, y = 2 \) is:
Evaluate the integral: ∫ log((2 + x)2 + x) dx
Approximate value of \( \cos 59^\circ \) is:
For all real x, the minimum value of the function f(x) = (1 - x + x^2) / (1 + x + x^2) is:
Evaluate the definite integral: \[ \int_{0}^{\frac{\pi}{2}} \frac{dx}{1 + (\cot x)^{101}} = ? \]
If \( y = x^x + x^x \), then find \( \frac{dy}{dx} \):
A copper ball at \(80^\circ C\) is brought to \(60^\circ C\) in 5 minutes, with surrounding temperature at \(20^\circ C\). Find the temperature of the ball after 20 minutes.
Evaluate the expression: \[ f\left(f(f(x))\right) + \left(f(f(x))\right)^2 \quad \text{if} \quad x = 1 \]
What is the volume of oxygen required for complete combustion of 0.25 mole of methane at S.T.P.?
Which of the following is an example of a redox reaction?
Which of the following elements does not have a completely filled outermost shell in its ground state?
Which of the following gases is most soluble in water?
Which of the following gases is most soluble in water?
Which of the following compounds is an example of an ionic bond?
Which of the following elements does not have a completely filled outermost shell in its ground state?
Which of the following is an example of a redox reaction?
What is the molarity of a solution prepared by dissolving 10 grams of NaOH in 250 mL of water? (Molar mass of NaOH = 40 g/mol)
What is the pH of a 0.01 M hydrochloric acid (HCl) solution?
A charge of \( 2 \, \mu\text{C} \) is placed in an electric field of intensity \( 4 \times 10^3 \, \text{N/C} \). What is the force experienced by the charge?
Two bodies of masses \( m_1 = 5 \, \text{kg} \) and \( m_2 = 10 \, \text{kg} \) are placed 2 meters apart. What is the gravitational force between them?
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 body moves in a circle of radius \( r = 5 \, \text{m} \) with a constant speed of \( v = 10 \, \text{m/s} \). What is the centripetal acceleration of the body?
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?
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?