List of top Mathematics Questions asked in MHT CET

If two dice are rolled, what is the probability of getting a sum of 7?
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 \( P(A \cap B) = \frac{2}{25} \) and \( P(A \cup B) = \frac{8}{25} \), then find the value of \( P(A) \).
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 \( x = 1 \).
Find the area of a triangle with vertices \( A(2, 3) \), \( B(5, 11) \), and \( C(8, 7) \).
If \( \log_2 x = 5 \), what is the value of \( x \)?
A die is rolled once. What is the probability of rolling a number greater than 4?
If the roots of the quadratic equation \( x^2 - 5x + 6 = 0 \) are \( p \) and \( q \), then what is the value of \( p + q \)?
Given that: \[ x = a \sin(2t) (1 + \cos(2t)), \quad y = a \cos(2t) (1 - \cos(2t)) \] Find \(\frac{dy}{dx}\).
Find the length of the diagonal of a rectangle with length 6 cm and breadth 8 cm.
In a dataset of 50 values, the mean is 40 and the variance is 25. What is the probability that a randomly selected value from this dataset is between 35 and 45?
In the word "UNIVERSITY", find the probability that the two "I"s do not come together.
Find the roots of the quadratic equation \( 2x^2 - 4x - 6 = 0 \).
Find the value of the determinant \( \begin{vmatrix} 2 & 3 \\ 4 & 5 \end{vmatrix} \).
Find the derivative of the function \( f(x) = 3x^2 - 5x + 7 \).
Solve the system of equations: \[ x + y = 5 \] \[ 2x - y = 4 \]
Solve the system of equations: \[ x + y = 10 \] \[ 3x - y = 5 \]
Find the value of \( \log_3 81 \).
Find the value of $ \log_2 32 $.
If $ f(x) = 3x^2 + 5x - 7 $, find $ f(2) $.
If $ x = 2 $, what is the value of $ 3x^2 - 5x + 7 $?
Find the sum of the roots of the quadratic equation $ 2x^2 - 5x + 3 = 0 $.
Find the area of a triangle with base 8 cm and height 6 cm.
Find the area of a circle with radius 7 cm.