List of top Questions asked in MHT CET- 2021

The general solution of the differential equation $\frac{dx}{dt} = \frac{x \log x}{t}$ is

Evaluate the trigonometric expression: $\tan \left(\cos^{-1}\left(\frac{4}{5}\right) + \tan^{-1}\left(\frac{2}{3}\right)\right) =$

S1 : If $-7$ is an integer, then $\sqrt{-7}$ is a complex number
S2 : $-7$ is not an integer or $\sqrt{-7}$ is a complex number
Choose the correct statement from the options given below

For the probability distribution given by following

the value of $\text{Var}(X) =$

The probability distribution of the number of doublets in four throws of a pair of dice is given by

If $\int \frac{\sin x}{\sin (x-\alpha)} dx = Ax + B \log |\sin (x-\alpha)| + c$, then the value of A and B are respectively (where c is a constant of integration)

The equation of line, where length of the perpendicular segment from origin to the line is 4 and the inclination of this perpendicular segment with the positive direction of X-axis is $30^\circ$, is

Let $\vec{v} = 2\hat{i} + 2\hat{j} - \hat{k}$ and $\vec{w} = \hat{i} + 3\hat{k}$. If $\vec{u}$ is a unit vector, then the maximum value of the scalar triple product $[\vec{u} \,\, \vec{v} \,\, \vec{w}]$ is

A balloon contains 2.27 L air and has a pressure of $1.013 \times 10^5 \text{ Nm}^{-2}$. The balloon rises to a certain height and expands to volume of 4540 mL. What is the final pressure of air in balloon?

Which among the following is a nonferrous alloy?

Identify product 'B' in following reaction.
$\text{CH}_3\text{Br} + \text{AgNO}_2 \longrightarrow \text{A} \xrightarrow{\text{Sn / HCl}} \text{B}$

If $\hat{a}$ is a unit vector such that $(\vec{x} - \hat{a}) \cdot (\vec{x} + \hat{a}) = 8$, then $|\vec{x}| =$

If A(3, 2, $-1$), B($-2$, 2, $-3$) and D($-2$, 5, $-4$) are the vertices of a parallelogram, then the area of the parallelogram is

What is the IUPAC name of glyoxal?

Which of the following compound is obtained when glucose is treated with dilute nitric acid?

Identify the major product when anisole is treated with $\text{Br}_2$ in presence of acetic acid.

The order of reaction for which the units of rate constant are mol dm$^{-3}$ s$^{-1}$ is

All the elements of group 2 react with water to form metal hydroxide and hydrogen, except the element

Which among the following formulae is correctly represented according to stock notation?

Which from following statements is true for group 16 elements?

In the cell represented as $\text{Ni}_{(s)} | \text{Ni}^{2+}_{(1\text{M})} || \text{Ag}^+_{(1\text{M})} | \text{Ag}_{(s)}$, the reducing agent is

What is the value of intercept on y-axis when $\log_{10} \frac{x}{m}$ is plotted against $\log_{10} P$ in Freundlich isotherm?

Which among the following compounds is a weakest base?

Which of the following alkanes is optically active?

A weak monobasic acid is 3.0% dissociated in it's 0.04 M solution. What is the dissociation constant of acid?