List of top Questions asked in MHT CET

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 \( \text{CO}_2 \)?
What is the pH of a solution when the concentration of hydrogen ions \([H^+]\) is \( 1 \times 10^{-5} \, \text{mol/L} \)?
Which of the following gases is responsible for the greenhouse effect?
What is the oxidation state of chlorine in \( \text{Cl}_2 \text{O}_7 \)?
A light ray passes from air (refractive index \( n_1 = 1 \)) into water (refractive index \( n_2 = 1.33 \)). If the angle of incidence is \( 30^\circ \), what is the angle of refraction in the water?
Which of the following is the correct electronic configuration for the element with atomic number 16?
A block of mass \( 5 \, \text{kg} \) is placed on a frictionless surface. If a force of \( 10 \, \text{N} \) is applied to the block, what will be the acceleration of the block?
A 0.2 kg ball is thrown vertically upwards with an initial velocity of \( 10 \, \text{m/s} \). What is the maximum height reached by the ball? (Acceleration due to gravity \( g = 9.8 \, \text{m/s}^2 \))