List of top Questions asked in MHT CET- 2025

The function $f(x) = \sin^4 x + \cos^4 x$ increases if}

$\lim_{x \to 1} (\log_3 3x)^{\log_x 8} = .......$

If matrix $A = \frac{1}{11} \begin{bmatrix} -1 & 7 & -24 \\ 2 & a & 4 \\ 2 & -3 & 15 \end{bmatrix}$ and $A^{-1} = \begin{bmatrix} 3 & 3 & 4 \\ 2 & -3 & 4 \\ b & -1 & c \end{bmatrix}$, then the values of $a, b, c$ respectively are ..............

If the angle between the line $x = \frac{y-1}{2} = \frac{z-3}{\lambda}$ and the plane $x + 2y + 3z = 4$ is $\cos^{-1} \sqrt{\frac{5}{14}}$, then the value of $\lambda$ is

Let $f$ be a function which is continuous and differentiable for all $x$. If $f(1) = 1$ and $f'(x) \leq 5$ for all $x$ in $[1, 5]$, then the maximum value of $f(5)$ is

If $\frac{1}{6} \sin \theta, \cos \theta, \tan \theta$ are in G.P., then the general solution of $\theta$ is

Which from following compounds can be obtained by azo coupling reaction.

When 0.01 mole of nonvolatile solute is dissolved in certain solvent calculate the mass of solvent in kg if $\Delta \text{T}_{\text{b}} = 0.6 \text{ K}$ and $\text{K}_{\text{b}}$ for solvent $= 2 \text{ K kg mol}^{-1}$

The half life values for two different first order reaction A and B are 75 minute and 2.5 hour respectively. What is the $\frac{\text{r}_B}{\text{r}_A}$ ratio of rate constants?

Considering only the principal values of the inverse trigonometric function, the value of $\tan \left( \cos^{-1} \frac{1}{5\sqrt{2}} - \sin^{-1} \frac{4}{\sqrt{17}} \right)$ is

Which from following polymers contains $-\text{CO}-\text{NH}-$ linkage?

Identify the amine having highest $\text{p}\text{K}_{\text{b}}$ value.

Find the number of water molecules in $1 \text{ mL}$ of water vapours at STP?

Which of the following ion exhibits maximum power of coagulation for positively charged Sol ?

Identify product ' $B$ ' in the following sequence of reaction.
$\text{Aniline} \xrightarrow[273 \text{ K}]{\text{NaNO}_2 + \text{HCl}} \text{A} \xrightarrow{\Delta}{\text{H}_2\text{O}} \text{B} + \text{N}_2 \uparrow$

Which among the following is NOT Allylic halide?

Identify isoelectronic pair from following.

Which of the following species acts as strongest oxidising agent?

For a reaction, A + B $\longrightarrow$ product, it is found that rate law is r = k[A]$^{1.5}$ [B]$^{2.5}$. What is the order of reaction?

Identify neutral ligand from following?

Identify a monomer used in preparation of neoprene.

Calculate the change in internal energy of the system if 20 kJ work is done on the system and it releases 10 kJ heat in a particular reaction.

Which of the following halogen forms maximum number of oxoacids?

Which from following solutions exhibits minimum boiling point elevation under identical conditions? (Assume complete dissociation)}

Which from following is used as catalyst in Fisher Tropsch process for the synthesis of gasoline?