List of top Questions asked in MHT CET- 2025

A doctor assumes patient has $d_1, d_2,$ or $d_3$ with equal probability. A test is positive with probability 0.7 for $d_1$, 0.5 for $d_2$, and 0.8 for $d_3$. If the test is positive, what is the probability the patient has $d_2$?
Find the volume of 56 g dinitrogen at STP.
The function $f(x) = x^3 - 6x^2 + ax + b$ satisfies the conditions of Rolle's theorem in $[1, 3]$. Then the values of $a$ and $b$ are respectively \dots
What is the total number of carbon atoms present in a sugar molecule of RNA nucleotide?
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 ______.
Which of the following is used as reagent in Etard reaction?
The area bounded by the curve $y = 4x - x^2$ and X-axis in square units, is \dots
If $\theta$ is an obtuse angle between vectors $\vec{a}$ and $\vec{b}$ such that $|\vec{a}| = 5, |\vec{b}| = 3$ and $|\vec{a} \times \vec{b}| = 5\sqrt{5}$ then $\vec{a} \cdot \vec{b} = \dots$
The altitude through vertex A of $\triangle ABC$ with position vectors of points A, B, C as $\vec{a}, \vec{b}, \vec{c}$ respectively is ______.
$\int_{\log(1/2)}^{\log 2} \sin \left( \frac{e^x - 1}{e^x + 1} \right) dx = \_\_\_\_\_\_.$
The angle $\theta$, at which the curves $y = 3^x$ and $y = 7^x$ intersect, is given by ______.
An object of mass 'm' moving with velocity 'u' collides with another stationary object of mass 'M' and stops just after the collision. The coefficient of restitution is ______.
Calculate the total volume occupied by all particles in fcc unit cell if volume of unit cell is $6.4 \times 10^{-23}$ cm$^3$.
What is molar conductivity at zero concentration in $\Omega^{-1}$ cm$^2$ mol$^{-1}$ for aluminium sulphate, if molar ionic conductivities at zero concentration of Al$^{3+}$ and SO$_4^{2-}$ are 189 $\Omega^{-1}$ cm$^2$ mol$^{-1}$ and 50.1 $\Omega^{-1}$ cm$^2$ mol$^{-1}$ respectively?
The straight line passing through $(-3, 6)$ and midpoint of the line segment joining the points $(4, -5)$ and $(-2, 9)$ have inclination ______.
For a certain reaction, $\Delta H = -210$ kJ and $\Delta S = -150$ J K$^{-1}$. Find the temperature so that $\Delta G = 0$.
A player tosses two coins. He wins ₹10 if 2 heads appear, ₹5 if one head appears, and ₹2 if no head appears. Then variance of winning amount is ______.
A circular coil carrying current 'I' has a radius 'r' and 'n' turns. The magnetic field along the axis of a coil at a distance '2√2 r' from its centre is ______.
$\int \frac{dx}{(x + a)^{9/7} (x - b)^{5/7}}$ = ______.
$\int \frac{x^4 \cos(\tan^{-1} x^5)}{1 + x^{10}} dx$ equals ______.
The common principal solution of the equations $\sin \theta = -1/2$ and $\tan \theta = 1/\sqrt{3}$ is \dots}
One of the following values of inputs A, B and C respectively gives output (Y) of the following combination of logic gates as '1' is \dots
If the frequency of incident light in a photoelectric experiment is doubled, then stopping potential will ______.
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 ______.
In the following figure magnitude of the magnetic field at the point p is ______.