List of top Questions asked in MHT CET- 2025

If $A = \begin{bmatrix} 5a & -b \\ 3 & 2 \end{bmatrix}$ and $A \cdot \text{adj } A = A A^T$, then $5a + b = \dots$

In an a.c. circuit, a resistance 'R' is connected in series with an inductance 'L'. If phase angle between voltage and current is 45$^\circ$, the value of inductive reactance will be ($\tan 45^\circ = 1$) ______.

If the plane $x/2 - y/3 - z/5 = 1$ cuts the co-ordinate axes in points A, B, C respectively, then the area of the triangle ABC is ______.

A force F is applied on a square plate of side L. If the percentage error in F is 3% and in L is 2%, then the percentage error in pressure is \dots

A coil of wire of radius 'r' has 600 turns and a self-inductance of 108 mH. The self-inductance of a coil with same radius and 500 turns is ______.

A constant force $\vec{F} = 3\hat{i} - 2\hat{j} - \hat{k}$ N has a displacement $\vec{r} = 2\hat{i} - 3\hat{j} - 3\hat{k}$ m in 2 second. The work done and the power are respectively ______.

What is oxidation number of sulphur in $SO_3$?

If the vectors $\vec{a} = c (\log_7 x) \hat{i} + 2\hat{j} + 3\hat{k}$ and $\vec{b} = (\log_7 x) \hat{i} + 3c (\log_7 x) \hat{j} - 4\hat{k}$ make obtuse angle for any x > 0, then c belongs to ______.

A coil of 'n' turns and resistance $R \Omega$ is connected in series with a resistance $R/2$. The combination is moved for time 't' second through magnetic flux $\phi_1$ to $\phi_2$. The induced current in the circuit is ______.

The probability that a student is not a swimmer is 1/5. The probability that out of 5 students selected at random 4 are swimmers is ______.

A horizontal pipeline carries water in streamline flow. At $A_1 = 10$ cm$^2$, $v_1 = 1$ m/s and $P_1 = 2000$ Pa. The pressure at $A_2 = 5$ cm$^2$ is \dots [$\rho = 1000$ kg/m$^3$]

Heat supplied $dQ$ = increase in internal energy $dU$ is true for \dots

If the line $\frac{x-3}{2} = \frac{y+5}{1} = \frac{z+2}{2}$ lies in the plane $\alpha x + 3y - z + \beta = 0$, then values of $\alpha$ and $\beta$ respectively are \dots}

With a resistance 'X' connected in series with a galvanometer of resistance 100$\Omega$, it acts as a voltmeter of range 0 – 15 V. To double the range, a resistance of 1500$\Omega$ is to be connected in series with 'X'. The value of 'X' in ohm is \dots

Two girls are standing at the ends 'A' and 'B' of a ground where $AB = b$. The girl at 'B' starts running perpendicular to 'AB' with velocity $V_1$. The girl at 'A' starts running simultaneously with velocity $V_2$ and in shortest distance meets the other girl in time 't'. The value of 't' is ______.

If $p \equiv$ The switch $S_1$ is closed, $q \equiv$ The switch $S_2$ is closed, $r \equiv$ switch $S_3$ is closed, then symbolic form of the switching circuit is equivalent to \dots

The depth at which the value of acceleration due to gravity becomes ($1/n$) times the value at the surface of the earth is (R = radius of the earth) ______.

Let $\vec{a} = \hat{i} + \hat{j} - \hat{k}$ and $\vec{c} = 5\hat{i} - 3\hat{j} + 2\hat{k}$ and if $\vec{b} \times \vec{c} = \vec{a}$ then $|\vec{b}|$ = ______.

Let $f : \mathbb{R} - \{2\} \rightarrow \mathbb{R} - \{1\}$ defined by $f(x) = \frac{x-3}{x-2}$ and $g : \mathbb{R} \rightarrow \mathbb{R}$ defined by $g(x) = 3x - 2$, then sum of all values of $x$ for which $f^{-1}(x) + g^{-1}(x) = 19/6$ is ______.

Two identical metal plates are given charges $q_1$ and $q_2$ ($q_2 < q_1$) respectively. If they are now brought close together to form a parallel plate capacitor with capacitance 'C', the potential difference 'V' between the plates is \dots

As shown in the figure, $S_1$ and $S_2$ are identical springs with spring constant K each. The oscillation frequency of the mass 'm' is 'f'. If the spring $S_2$ is removed, the oscillation frequency will become ______.

Which of the following pair of compounds consists equal number of lone pair of electrons in the valence shell of central atom?

The volume of a metal sphere increases by 0.33% when its temperature is raised by 50$^\circ$C. The coefficient of linear expansion of the metal is ______.

Which element from following has smallest ionic size in +3 state?

In a single slit diffraction experiment, slit width 'a' is illuminated by wavelength '$\lambda$' and the width of central maxima is 'y'. When half the slit is covered and illuminated by $(1.5)\lambda$, the width of the central maximum becomes ______.