List of top Questions asked in MHT CET- 2025

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

$p$ : If 7 is an odd number then 7 is divisible by 2.
$q$ : If 7 is prime number then 7 is an odd number. If $V_1$ and $V_2$ are respective truth values of contrapositive of p and q then $(V_1, V_2) \equiv$

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 ..............

In a triangle ABC with usual notations if, $\cot \frac{A}{2} = \frac{b+c}{a}$, then the triangle $ABC$ 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

If $f(1) = 3,\; f'(1) = 2$, then $\dfrac{d}{dx}\left\{\log\left[f\left(e^x + 2x\right)\right]\right\}$ at $x = 0$ is ______.

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

The line $L$ is passing through $(1, 2, 3)$. The distance of any point on the line $L$ from the line $\vec{r} = (3\lambda - 1)\hat{i} + (-2\lambda + 3)\hat{j} + (4 + \lambda)\hat{k}$ is constant. Then the line $L$ does not pass through the point ______.

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

Calculate the volume occupied by a particle in fcc unit cell if volume of unit cell is $1.6 \times 10^{-23} \text{ cm}^3$.

The solubility product of NiS is $4.9 \times 10^{-5}$ at 298 K . Calculate its solubility in moldm$^{-3}$ at the same temperature?

Nitric oxide reacts with H$_2$ according to reaction. 2NO$_{(\text{g})}$ + 2H$_{2(\text{g})}$ $\to$ N$_{2(\text{g})}$ + 2H$_2$O$_{(\text{g})}$.
Identify the correct relationship for consumption of reactant and formation of product.

What is the coordination number of central metal ion if it forms octahedral complex?

Which carbon atoms of $\alpha - D$ glucose and $\beta - D$ fructose respectively forms glycosidic linkage in sucrose?

Calculate the number of atoms present in 1 g of an element if it forms fcc unit cell structure. [$\rho \times \text{a}^3 = 6.8 \times 10^{-22} \text{ g}$]}

Calculate the enthalpy of solution of potassium chloride if its $\Delta_{\text{L}\text{H} = 700 \text{ kJ mol}^{-1}$ and $\Delta_{\text{hyd}} \text{ H} = -680 \text{ kJ mol}^{-1}$

Which of the following is the molecular formula of halous acid of chlorine?

The common name of Benzene-1,4-diol is

Identify the substrate ' A ' in the following conversion.
A $\xrightarrow[\text{H}_3\text{O}^+]{\text{AlH}(i-\text{Bu})_2}$ Pent-3-enal}

Which of the following alkenes does NOT exhibit cis-trans isomerism?