List of top Questions asked in MHT CET- 2025

The number of positive integral solutions of $\tan^{-1} x + \cos^{-1} \left( \frac{y}{\sqrt{1+y^2}} \right) = \sin^{-1} \left( \frac{3}{\sqrt{10}} \right)$ are ______.
$\int \frac{\sqrt{\tan x}{\sin x \cdot \cos x} \, dx = $ ______.
If the plane $\frac{x}{2} + \frac{y}{3} + \frac{z}{6} = 1$ cuts the co-ordinate axes at points A, B, C respectively, then area of the triangle ABC is ______.
The volume of tetrahedron with co-terminus edges $\vec{a}$, $\vec{b}$, $\vec{c}$ is $\frac{64}{3}$ cubic units, then volume of parallelopiped considering co-terminus edges given by the vectors $\vec{a} + \vec{b}$, $\vec{b} + \vec{c}$, $\vec{c} + \vec{a}$ is ______ cubic units.
Consider statements $p$ : $S_1$ is closed; $q$ : $S_2$ is closed; $r$ : $S_3$ is closed. The simplified equivalent circuit diagram and its logical statement for the switching circuit is respectively ______.
If $y = \tan^{-1} \left( \sqrt{\frac{1+\sin x}{1-\sin x}} \right)$, $0 \le x < \frac{\pi}{2}$, then $y' \left( \frac{\pi}{6} \right) = $ ______.
The solubility product of AgBr is $4.9\times10^{-13}$ at a certain temperature. Calculate the solubility.
Which of the following changes takes place at positive electrode during recharging of lead accumulator?
Which from following is a weak field ligand?
Which of the following reagents is used to convert $\text{C}\equiv \text{C}$ triple bond to $\text{C=C}$ double bond to give Cis isomer of alkene?
Identify neutral amino acid from following list represented by three letter symbols.
Identify the order of following reaction: $2\text{NO}_{2}(g)\rightarrow2\text{NO}(g)+\text{O}_{2}(g)$.
Identify the products of following reaction: Formaldehyde + Benzaldehyde $\xrightarrow{i. \text{conc. NaOH } ii. \text{H}_3\text{O}^+}$ Products.
What is the expected order of basic strength of different compounds from following (in gaseous phase)?
Which of the following does NOT exhibit haloform reaction?
What is the coordination number of a particle in simple cubic close packed structure?
Which from following polymers does NOT contain either -COO- or -CO-NH- linkage in it?
Dissociation constant of 0.01 M weak acid is $10^{-4}$. What is percent dissociation of acid?
Equal masses of helium and oxygen are mixed in an empty container at $25^{\circ}\text{C}$. What is the fraction of the total pressure exerted by helium?
Which from following compounds contains complex anions?
What are the positions of 'N' atoms present in purine ring of nucleic acids?
Which among the following gases is least adsorbed on solid at similar conditions of temperature and pressure?
Calculate the change in internal energy of the system if work done by the system is 18 joule and absorbs heat 50 joule in a particular reaction.
Rate of the reaction $\text{A}+\text{B}\rightarrow$ product is $3.6\times10^{-2}\text{ mol dm}^{-3}\text{s}^{-1}$ and rate law is $r=k[\text{A}][\text{B}]^{2}$. What is rate constant of the reaction if $[\text{A}]=0.2$ M and $[\text{B}]=0.1$ M?
Identify the product 'A' formed in the following reaction (Addition of $\text{Br}_{2}$ to an alkene).