List of top Questions asked in MHT CET

Find the temperature in degree Celsius if the volume and pressure of 2 moles of an ideal gas are $20\,\text{dm}^3$ and $4.926\,\text{atm}$ respectively. ($R = 0.0821\,\text{dm}^3\text{atm K}^{-1}\text{mol}^{-1}$)

What is the IUPAC name of the following compound?
$CH_3-CH_2-C(Br)=C(CH_3)-CH_2-CH_3$

Identify the polymer obtained from 1,3-butadiene and acrylonitrile.

If the enthalpy change for the following reaction at $300\,\text{K}$ is $+7\,\text{kJ mol}^{-1}$, find the entropy change of the surroundings.
$H_2O_{(s)} \longrightarrow H_2O_{(l)}$

Which among the following cations produces colourless aqueous solution in their respective oxidation state?

What is the number of moles of electrons gained by one mole of oxidizing agent in the following redox reaction?
$Zn_{(s)} + 2HCl_{(aq)} \longrightarrow ZnCl_2 + H_2$

Calculate the pH of 0.01 M strong dibasic acid.

Identify the reagent used in the following reaction.
Benzoic acid $\xrightarrow{\text{Reagent}}$ Benzoyl chloride + Phosphorous oxychloride + Hydrogen chloride

Which of the following ion has greater coagulating power for negatively charged sol?

Identify $A$ in the following reaction.
$A$ + Acetic anhydride $\xrightarrow{H^+}$ Aspirin + Acetic acid

What is the value of $\angle S\!-\!S\!-\!S$ in puckered $S_8$ rhombic sulfur?

Which activity from following is exhibited by Lewis base according to definition?

Calculate the volume of unit cell if an element having molar mass $56 \,\text{g mol}^{-1}$ forms bcc unit cells. $[\rho \cdot N_A = 4.8 \times 10^{24} \,\text{g cm}^{-3}\text{mol}^{-1}]$

Which of the following is formed when propene is heated with bromine at high temperature?

Identify the product '$B$' in the following sequence of reactions. $CH_{3}Br \xrightarrow{KCN} A \xrightarrow{Na/C_{2}H_{5}OH} B$

Find the number of orbitals and maximum electrons respectively present in M-shell?

Which of the following expressions is used to find the cell potential of $Cd_{(s)} | Cd_{(aq)}^{2+} \, || \, Cu_{(aq)}^{2+} | Cu_{(s)}$ cell at $25^\circ \text{C}$?

Which from following molecules does NOT contain nitrogen in it?

Let $f(x) = \int \frac{x^2 - 3x + 2}{x^4 + 1} \, dx$, then the function decreases in the interval

The area bounded by the curves $y = (x - 1)^2$, $y = (x + 1)^2$ and $y = \frac{1}{4}$ is

Consider the lines $L_1 : \frac{x + 1}{3} = \frac{y + 2}{1} = \frac{z + 1}{2}$ and $L_2 : \frac{x - 2}{1} = \frac{y + 2}{2} = \frac{z - 3}{3}$, then the unit vector perpendicular to both $L_1$ and $L_2$ is

Three critics review a book. For the three critics the odds in favour of the book are 2: 5, 3: 4 and 4: 3 respectively. The probability that the majority is in favour of the book, is given by

The maximum value of the function $f(x) = 3x^3 - 18x^2 + 27x - 40$ on the set $S = \{x \in \mathbb{R} \mid x^2 + 30 \le 11x\}$ is

If the shortest distance between the lines $\frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{\lambda}$ and $\frac{x - 2}{1} = \frac{y - 4}{4} = \frac{z - 5}{5}$ is $\frac{1}{\sqrt{3}}$, then sum of possible values of $\lambda$ is

The function $f(x)=[x]\cdot \cos\left(\frac{2x-1}{2}\pi\right)$ where $[\cdot]$ denotes the greatest integer function, is discontinuous at