List of top Questions asked in MHT CET

Solve for $ x $ in the equation $ \frac{1}{x+3} + \frac{1}{x+5} = \frac{1}{6} $.
Find the area of a triangle with base 12 cm and height 5 cm.
Which of the following is the correct order of increasing acidity for the following compounds? $ \text{CH}_3\text{OH} $, $ \text{CH}_3\text{COOH} $, $ \text{HCl} $, and $ \text{H}_2\text{SO}_4 $.
Find the roots of the quadratic equation $ x^2 - 5x + 6 = 0 $.
Find the value of $ x $ that satisfies the equation $ 2x + 3 = 11 $.
What is the pH of a 0.001 M solution of hydrochloric acid (HCl)?
What is the empirical formula of glucose, whose molecular formula is $ \text{C}_6\text{H}_{12}\text{O}_6 $?
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?
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?
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?
A simple pendulum has a length of $ L = 2 \, \text{m} $. What is the time period of the pendulum? (Assume $ g = 9.8 \, \text{m/s}^2 $)
Evaluate the expression: \[ f\left(f(f(x))\right) + \left(f(f(x))\right)^2 \quad \text{if} \quad x = 1 \]
Evaluate the integral: ∫ log((2 + x)2 + x) dx
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 \( \frac{d}{dx} (3x^2 + 4x + 5) \).
Find the value of \( \log_2 32 \).
Find the area of a circle whose radius is 7 cm.
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?
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.
Find the value of \( \sin 30^\circ + \cos 60^\circ \).