List of top Questions asked in MHT CET- 2025

If $\cot^{-1}(\sqrt{\cos \alpha})-\tan^{-1}(\sqrt{\cos \alpha})=x$, then the value of $\sin x$ is}

In a triangle ABC with usual notations if $\angle A=30^{\circ}$, then the value of $(1+\frac{a}{c}+\frac{b}{c})(1+\frac{c}{b}-\frac{a}{b})=$

In a triangle PQR with usual notations, $\angle R=\frac{\pi}{2}$. If $\tan\frac{P}{2}$ and $\tan\frac{Q}{2}$ are the roots of the equation $ax^{2}+bx+c=0(a\ne0),$ then}

If A is a matrix of order 2 and I is the identity matrix of order 2 such that $A^{2}-4A+3I=0$ then $(A+3I)^{-1}=$

$\int_{0}^{\frac{\pi}{2}}\frac{300 \sin x+100 \cos x}{\sin x+\cos x}dx=...$

$\int_{0}^{1}x|x-\frac{1}{2}|dx=$

The acute angle between the line $4x-2y+13=0$ and the line which makes equal intercepts with the co-ordinate axes is

If $x$ and $y$ are sides of two squares such that $y=x-x^{2}$, then the rate of change of area of the second square with respect to that of the first square is}

The function $f(x)=[x(x-2)]^{2}$ is increasing in the set}

If p,q,r,s are statements, where: $p:A^{2}-B^{2}=(A-B)(A+B)$ for matrices $AB\ne BA$; $q:5\le5$; $r:{^{8}C_{1}+{}^{8}C_{2}+...+^{8}C_{8}=256}$; $s$: Max value of ${}^{8}C_{r}$ is 70. The statement with truth value true is:

The minimum value of $ax+by$ where $xy=c^{2}$ is}

Which from following polymers is used to obtain surgical sutures?

Which of the following statement is a tautology?

Let $f(x)=\begin{cases}\frac{x^{4}-5x^{2}+4}{|(x-1)(x-2)|}&,x\ne1,2\\ 6&,x=1
12&,x=2\end{cases}$. Then $f(x)$ is continuous on the set}

Which of the following net cell reaction takes place in a galvanic cell containing copper electrode and standard hydrogen electrode? $E^{\circ}(Cu^{2+}|Cu) = +0.34 V$

Identify neutral complex from following.

Identify the product formed in the following reaction: $CH_{3}CH_{2}MgBr \xrightarrow[ii)~dil.~HCl]{i)~Dry~ice/dry~ether} Product$

Identify role of glycerol in following reaction: $2H_{2}O_{2(l)} \xrightarrow{glycerol} 2H_{2}O_{(l)} + O_{2(g)}$

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

What is pH of weak dibasic acid, that is 2% dissociated in its M/100 solution at 298 K?

The slope of a graph $\log[A]_t$ versus 't' for first order reaction is $-2.5\times10^{-3}s^{-1}$. Find rate constant of the reaction?

Which of the following is a Fittig reaction?

Calculate the mole fraction of pure liquid B in solution if total vapour pressure of solution, vapour pressure of pure liquid A and vapour pressure of pure liquid B are 500 mm Hg, 400 mm Hg and 575 mm Hg respectively at given temperature.

Identify weak field ligand from following.

What is the value of spin only magnetic moment for $Cu^{2+}$ in BM?