List of top Questions asked in MHT CET- 2025

Which of the following is the polymer formed from acrylonitrile?
Which of the following monomers undergo addition polymerization?
Which of the following is a primary alcohol?
At a given temperature, which of the following statements is correct regarding the solubility of a solid in a liquid?
Which of the following d-block elements has the highest melting point?
Which trend is correct regarding ionic radius in the 4f-series (lanthanides)?
The magnetic moment of \( \text{Mn}^{3+} \) is:
For a first-order reaction, the slope of the graph between \(\log[A]\) vs time is equal to:
Which of the following plots gives a straight line for a zero-order reaction?
What is the correct order of thermal stability of the following carbonates?
BaCO\(_3\), MgCO\(_3\), SrCO\(_3\), CaCO\(_3\)
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:
If \( a(u + x^2) = x \) and \( y - x^3 = a^2 \), then \( \frac{dy}{dx} \) at \( x = 1 \) 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 a(4 + x^2) = x + y - x^3 = a^3 * (dy/dx) at x = 1, then the value of (dy/dx) is:
If ∫ (2x + 3)/((x - 1)(x^2 + 1)) dx = log_x {(x - 1)^(5/2)(x^2 + 1)^a} - (1/2) tan^(-1)x + C, then the value of a is:
Find the value of the integral: ∫ (2x + 3)/((xy)(x^2 + 1)) dx
If \( y = x^x + x^x \), then find \( \frac{dy}{dx} \):
Given \( f'(1) = 3 \), \( f(1) = 1 \), and
\[ y = f\left(f(f(x))\right) + \left(f(x)\right)^2, \] then find \( \frac{dy}{dx} \) at \( x = 1 \).
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: \[ f\left(f(f(x))\right) + \left(f(f(x))\right)^2 \quad \text{if} \quad x = 1 \]
Evaluate the determinant of the matrix: \[ \left| \begin{array}{cc} 1 & \tan x
-\tan x & 1 \end{array} \right| \]
Evaluate the integral: \( \int \sin^5 x \, dx \)