List of top Questions asked in MHT CET- 2025

The value of \( {}^{47}C_4 + \sum_{j=1}^5 {}^{(52-j)C_3 \) is

If $f(x) = \begin{cases} \frac{9^x - 2 \cdot 3^x + 1}{\log(1+3x) \cdot \tan 2x} & , \text{if } x \neq 0 \\ a(\log b)^c & , \text{if } x = 0 \end{cases}$ is continuous at $x = 0$, then $a+b+c =$

The co-ordinates of the point in which line joining $(1, 1, 1)$ and $(2, 2, 2)$ intersects the plane $x + y + z = 9$ are

If the line $3x + 4y - 24 = 0$ intersects X and Y axes in points A and B respectively then incentre of the triangle OAB where O is origin is

If $x = \tan^{-1} \left\{ \frac{\sqrt{1+t^2}-1}{t} \right\}, y = \cos^{-1} \left\{ \frac{1-t^2}{1+t^2} \right\}$, then $\frac{dy}{dx}$ is equal to

The area of the triangle formed by the co-ordinate axes and a tangent to the curve $xy = a^2$ at the point $(x_1, y_1)$ is ______ sq. units (where $a, x_1$ and $y_1$ are non-zero)

The minimum value of the slope of the tangent to curve $y = x^3 - 3x^2 + 2x + 93$ is

Identify the product obtained when nitro ethane is treated with Sn - HCl under ideal conditions.

Calculate the ionisation constant of 0.08 moldm$^{-3}$ of a monobasic acid having pH = 2.

The negation of statement pattern $(p \wedge \sim q) \rightarrow (p \vee \sim q)$ is

Which of the following is trihydric phenol?

What is the number of moles of 'C' and 'H' atoms respectively present in n mole molecule represented by following structure?

What is the SI unit of resistivity?

Which among the following is haloarene?

For a certain reaction $\Delta H = -225$ kJ and $\Delta S = -150$ J K$^{-1}$. Find the temperature so that $\Delta G$ is zero.

Which of the following molecules does not obey octet rule?

Which of the following on reaction with Grignard's reagent followed by hydrolysis forms tertiary alcohol?

For the reaction, $2N_2O_5(g) \rightarrow 4NO_2(g) + O_2(g)$ $N_2O_5$ disappears at a rate of $x$ moldm$^{-3}$ s$^{-1}$ Find the rate of formation of $O_2$ ?

In an ionic solid anions are arranged in hcp array and cations occupy $\frac{2}{3}$ of octahedral voids. What is the formula of ionic compound? [consider A = cation; B = anion]}

What is the order of reactivity of alkyl halides with ammonia?

What is degree of dissociation of $CH_3COOH$ if, $\Lambda^\circ (CH_3COO^-) = 50\text{ S cm}^2\text{ mol}^{-1}$, $\Lambda^\circ (H^+) = 350\text{ S cm}^2\text{ mol}^{-1}$ and molar conductivity of $5 \times 10^{-2}\text{ M }CH_3COOH$ is $20\text{ S cm}^2\text{ mol}^{-1}$ ?

Identify the reaction so that carbonyl group of aldehydes and ketones is reduced to methylene group on treatment with Zinc-amalgam and concentrated hydrochloric acid.

What is the number of hydrogen atoms present in 5.4 g of urea?

Which of the following dopant is added in silicon to obtain n-type semiconductor?

Which from following is an example of an intensive property of the system?