List of top Questions asked in MHT CET- 2025

If \( A = \begin{bmatrix} 1 & -1 & 1 \\ 0 & 2 & -3 \\ 2 & 1 & 0 \end{bmatrix} \), \( B = \text{adj } A \) and \( C = 5A \), then \( \frac{|\text{adj } B|}{|C|} = \)}

Consider the statements given by following
(A) If 4+3 = 8, then 5+3=9
(B) If 6 + 4 = 10, then moon is flat
(C) If both (A) and (B) are true, then 5 + 6 = 17
Then which of the following statement is correct?

Let A = \( \lim_{x \to 0^+} (1 + \tan^2 \sqrt{x})^{\frac{1}{2x}} \), then log\(_e\) A =}

The foci of the conic \( 25x^2 + 16y^2 - 150x = 175 \) are

\( f(x) = \begin{cases} 3-x, & -1<x<0 \\ 1+\frac{5x}{3}, & -3 \le x \le 2 \end{cases} \) and \( g(x) = \begin{cases} -x, & -2 \le x \le 3 \\ x, & 0 \le x \le 1 \end{cases} \)
then range of (fog)(x) is }

The equations of the tangents to the circle \( x^2 + y^2 = 36 \) which are perpendicular to the line \( 5x + y - 2 = 0 \) are

Let A \( \equiv \) (0,0), B(3, 0), C(0, -4) are vertices of \( \triangle \)ABC, then the co-ordinates of incentre of \( \triangle \)ABC is

If sin \( \theta \) = \( \frac{1}{2}\left(x + \frac{1}{x}\right) \), then sin \( 3\theta + \frac{1}{2}\left(x^3 + \frac{1}{x^3}\right) \) =}

Argument of the complex number z = \( \frac{13-5i}{4-9i} \), i = \( \sqrt{-1} \) is

A hypothetical galvanic cell is A$_{(s)}$ | A$^+$(1M) || B$^{+2}$(1M) | B$_{(s)}$ and emf of cell is positive. What is the possible cell reaction?

A first order reaction is 50% completed in 16 minutes. Find the percentage of reactant reacting in 32 minutes.

Calculate the equilibrium concentration of Pb$^{2+}$ ions in a solution of PbS containing 1 $\times$ 10$^{-11}$ moldm$^{-3}$ of sulphide ions. (Given $K_{sp}$ for PbS = 8.0 $\times$ 10$^{-28}$)}

The standard emf for cell, Cd$_{(s)}$ | Cd$^{+2}$(1M) || Cu$^{+2}$(1M) | Cu$_{(s)}$ is 0.74 V.
If concentration of Cd$^{+2}_{(aq)}$ and Cu$^{+2}_{(aq)}$ decreases by 10 times at 298 K. Calculate emf of cell.

Which from following polymers is biodegradable?

Identify secondary amine from following.

Calculate the number of unit cells in 0.79 g metal if product of density and volume of unit cell is 1.58 $\times$ 10$^{-22}$ g.

Calculate the osmotic pressure of 0.2 M aqueous solution of electrolyte at 300 K. If van't Hoff factor is 1.6 [R = 0.0821 atm dm$^3$ K$^{-1}$ mol$^{-1}$].

Calculate work done if 1 mole of an ideal gas expands isothermally from 2 dm$^3$ to 2.8 dm$^3$ against constant external pressure 1 atm.

Identify the product 'B' in the following sequence of reactions.
Ethanenitrile \( \xrightarrow{\text{SnCl}_2, \text{HCl}} \) A \( \xrightarrow{\text{H}_3\text{O}^+} \) B + NH\(_4\)Cl}

Identify 'A' in the following reaction.
A + Acetic anhydride \( \xrightarrow{\text{H}^+} \) Aspirin + Acetic acid}

Which of the following is NOT phenol?

Which among the following has lowest boiling point?

What is the number of node in 2s orbital?

Identify from following the correct set of thermodynamic conditions for the reaction to be spontaneous below equilibrium temperature.

Which from following mixtures obeys Raoult's law?