List of top Questions asked in MHT CET- 2025

The limit of \( \lim_{x \to 0} \frac{\sin x}{x} \) is:
What is the volume occupied by 2 moles of an ideal gas at standard temperature and pressure (STP)?
Binomial Expansion Series $ \left( \frac{(1 + x)}{(n + 1)} \right)' = n_0 x + n_1 \frac{x^2}{2} + n_2 \frac{x^3}{3} + \cdots + n_n \frac{x^n}{n+1} $
Curves Represented
In the reaction \( \text{Zn} + 2\text{Ag}^+ \rightarrow \text{Zn}^{2+} + 2\text{Ag} \), what is the oxidation state of zinc in \( \text{Zn} \) and \( \text{Zn}^{2+} \)?
The enthalpy change for the reaction \( \text{N}_2(g) + 3\text{H}_2(g) \rightarrow 2\text{NH}_3(g) \) is \( -92.4 \, \text{kJ/mol} \). What is the enthalpy change when 4 moles of nitrogen react?
Which of the following elements has the highest electronegativity?
What is the pH of a solution with a hydrogen ion concentration of \( 1 \times 10^{-5} \, \text{mol/L} \)?
In the reaction \( 2\text{H}_2 + \text{O}_2 \rightarrow 2\text{H}_2\text{O} \), if 4 moles of hydrogen react with excess oxygen, how many moles of water are produced?
A bag contains 5 red balls, 7 green balls, and 8 blue balls. One ball is drawn at random. What is the probability that the ball is either red or green?
Find the roots of the quadratic equation \( x^2 - 5x + 6 = 0 \).
If \( \mathbf{a} = 3\hat{i} + 4\hat{j} \) and \( \mathbf{b} = 2\hat{i} - \hat{j} \), find \( \mathbf{a} \cdot \mathbf{b} \) (the dot product).
If two dice are rolled, what is the probability of getting a sum of 7?
Find the value of the following expression: \[ \sin^2(30^\circ) + \cos^2(60^\circ) \]
Evaluate the integral: \[ \int \frac{x^2 + 2x}{\sqrt{x^2 + 1}} \, dx \]
Find the smallest angle of the triangle whose sides are \( 6 + \sqrt{12}, \sqrt{48}, \sqrt{24} \).
If \( P(A \cap B) = \frac{2}{25} \) and \( P(A \cup B) = \frac{8}{25} \), then find the value of \( P(A) \).
Evaluate the integral: \[ \int \sqrt{x^2 + 3x} \, dx \]
A water tank is open at the top and has a hole of area \( 10^{-4} \, \text{m}^2 \) at the bottom. The height of the water column is 5 m. What is the speed of the water flowing out of the hole? (Take \( g = 10 \, \text{m/s}^2 \))
A coil has 200 turns and an area of \( 0.01 \, \text{m}^2 \). If the magnetic field changes from 0 to 0.5 T in 0.1 seconds, what is the induced emf in the coil?
A gas expands from a volume of 2 m³ to 4 m³ against a constant pressure of 5 atm. How much work is done by the gas during expansion? (1 atm = \( 1.01 \times 10^5 \, \text{Pa} \))
A force of 20 N is applied to a body at an angle of \( 30^\circ \) to the horizontal, moving the body a distance of 5 m. What is the work done by the force?
A galvanometer has resistance \( G = 100 \, \Omega \) and shows full-scale deflection at \( I_q = 1 \, \text{mA} \). To convert it into a voltmeter of range 5 V, what resistance should be connected in series?
What is the moment of inertia of a solid sphere of mass \( M \) and radius \( R \) about its diameter?
A 0.5 m long solenoid has 100 turns and carries a current of 3A. What is the magnetic field at the center of the solenoid?