List of top Questions asked in MHT CET

Find the value of \( x \) if \( \sin(2x) = 1 \).
Find the sum of the first 20 terms of the arithmetic progression: \( 2, 5, 8, 11, \dots \).
Solve the system of equations: \[ x + y = 10 \] \[ 3x - y = 5 \]
Find the length of the diagonal of a rectangle with length 6 cm and breadth 8 cm.
If \( \log_2 x = 5 \), what is the value of \( x \)?
Solve the system of equations: \[ x + y = 5 \] \[ 2x - y = 4 \]
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 for \( x \): \( \log_2 (x-1) = 3 \).
Find the area of a triangle with vertices \( A(2, 3) \), \( B(5, 11) \), and \( C(8, 7) \).
Find the roots of the quadratic equation \( 2x^2 - 4x - 6 = 0 \).
The enthalpy change for the reaction \( \text{C} + \text{O}_2 \rightarrow \text{CO}_2 \) is \( -393.5 \, \text{kJ/mol} \). What is the heat released when 2 moles of carbon react with excess oxygen?
A solution contains 10 g of NaOH dissolved in 500 mL of water. What is the molarity of the NaOH solution?
What is the total number of moles of gas in a 5 L container at 300 K and 2 atm pressure (Use the ideal gas law)?
What is the percentage composition of nitrogen in ammonium nitrate (\( \text{NH}_4\text{NO}_3 \))?
What is the standard electrode potential for the half-reaction \( \text{Cu}^{2+} + 2e^- \rightarrow \text{Cu} \)?

What is the empirical formula of a compound containing 40% sulfur and 60% oxygen by mass?

What is the value of the ionization energy of hydrogen in joules? (Given that the ionization energy of hydrogen is \( 13.6 \, \text{eV} \))
What is the total number of orbitals in the third energy level (n = 3)?
A sample of an ideal gas occupies 10 liters at a pressure of 2 atm and a temperature of 300 K. What is the volume of the gas at 1 atm pressure and 300 K temperature?
Calculate the oxidation number of sulfur in \( \text{H}_2\text{SO}_4 \).
What is the mass of sodium chloride (\( \text{NaCl} \)) formed when 0.5 moles of sodium (\( \text{Na} \)) reacts with excess chlorine (\( \text{Cl}_2 \))?
What is the molecular geometry of \( \text{SO}_3 \)?
What is the oxidation state of chromium in \( \text{K}_2\text{Cr}_2\text{O}_7 \)?
The pH of a solution is 3. What is the concentration of \( \text{H}^+ \) ions in the solution?