List of top Questions asked in MHT CET

Find the roots of the quadratic equation $ x^2 - 5x + 6 = 0 $.
A metal rod of length $ L = 0.8 \, \text{m} $ is rotating about its center with an angular velocity $ \omega = 10 \, \text{rad/s} $. What is the linear velocity of a point on the rod at a distance $ r = 0.4 \, \text{m} $ from the center?
A body of mass $ 1.5 \, \text{kg} $ is dropped from a height of $ 20 \, \text{m} $. What is its speed just before hitting the ground? (Assume $ g = 9.8 \, \text{m/s}^2 $)
A car travels at a speed of $ 72 \, \text{km/h} $. What is the car's speed in meters per second?
What is the molar mass of sulfur dioxide (SO$_2)$?
An object of mass $ 0.5 \, \text{kg} $ is moving with a velocity of $ 10 \, \text{m/s} $. What is the momentum of the object?
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: \( \int \sin^5 x \, dx \)
Find the value of \( \tan 45^\circ \).
Find the value of \( \frac{d}{dx} (3x^2 + 4x + 5) \).
The sum of the ages of a father and his son is 60 years. The father is three times as old as the son. What is the son's age?
Find the area of a circle whose radius is 7 cm.
Find the value of \( \log_2 32 \).
If \( \sin \theta = \frac{3}{5} \), find the value of \( \cos \theta \).
If the sum of the first \( n \) terms of an arithmetic progression (AP) is given by \( S_n = 3n^2 + 2n \), find the 4th term of the AP.
Which of the following is the correct value of the molar volume of an ideal gas at standard temperature and pressure (STP)?
The area of a triangle with base 12 cm and height 5 cm is?
Find the value of \( \sin 30^\circ + \cos 60^\circ \).
Which of the following is the strongest acid in aqueous solution?
What is the value of the ionization constant \( K_a \) for acetic acid (\( \text{CH}_3\text{COOH} \)) if the concentration of acetic acid is 0.1 M and the concentration of \( \text{H}^+ \) ions at equilibrium is 1.0 x \( 10^{-3} \) M?
Which of the following compounds is the most soluble in water?
Which of the following represents the correct IUPAC name for \( \text{CH}_3\text{CH}_2\text{CH}_2\text{OH} \)?
What is the pH of a 0.01 M solution of hydrochloric acid (HCl)?
Which of the following is the correct hybridization of the central atom in \( \text{CO}_2 \)?