List of top Questions asked in MHT CET- 2021

The value of $\int e^x \left(\frac{x - 1}{x^2}\right) dx =$
The Cartesian equation of a line is $3x + 1 = 6y - 2 = 1 - z$, then its vector equation is
The position vector of the point of intersection of the medians of a triangle, whose vertices are $A(1, 2, 3)$, $B(1, 0, 3)$ and $C(4, 1, -3)$ is
In $\triangle ABC$, with usual notations, $2ab \sin \frac{1}{2}(A+B-C) =$
$\tan 3A \cdot \tan 2A \cdot \tan A =$
The general solution of $\sin^{-1}\left(\frac{dy}{dx}\right) = x + y$ is
If the slope of one of the lines $ax^2 + 2hxy + by^2 = 0$ is twice that of the other, then $h^2 : ab$ is
Bismuth has a half-life period of $5$ days. A sample originally has a mass of $1000\text{ mg}$, then the mass of Bismuth after $30$ days is
If statements $p$ and $q$ are true and $r$ and $s$ are false, then truth values of $\sim ( p \rightarrow q ) \leftrightarrow ( r \wedge s )$ and $( \sim p \rightarrow q ) \wedge ( r \leftrightarrow s )$ are respectively
The equation of a circle that passes through the origin and cut off intercepts $-2$ and $3$ on the X-axis and Y-axis respectively is
If $y^2 = ax^2 + bx + c$, where $a, b, c$ are constants, then $y^3 \frac{d^2y}{dx^2}$ is equal to
Let $$\begin{array}{ll} f(x) = |x| + 3, & \text{if } x \le -3 \\ f(x) = -2x, & \text{if } -3 < x < 3 \\ f(x) = 6x - 2, & \text{if } x \ge 3 \end{array}$$ then
The particular solution of the differential equation $y(1+\log x) = \left(\log x^x\right)\frac{dy}{dx}$, when $y(e) = e^2$ is
Molal depression constant for a liquid is $2.77^{\circ}\mathrm{C}\ \mathrm{kg}\ \mathrm{mol}^{-1}$, in Kelvin scale its value is
If 6 g of solute dissolved in 100 g of water lowers the freezing point by 0.93 K. What is molar mass of solute? ($\mathrm{K}_f = 1.86\ \mathrm{K}\ \mathrm{kg}\ \mathrm{mol}^{-1}$)
Which among the following statement is NOT true about homologous series of organic compounds?
How many lattice points are present in a face centred cubic unit cell?
Which block elements from following are known as transition elements?
Which from following electrolytes, molar conductivity is determined using Kohlrausch theory?
What is IUPAC name of following compound?

Choose the correct answer from the options given below.
Which among the following isomers of $\mathrm{C_4H_9OH}$ has lowest boiling point?
Which of the following salt solutions is highly acidic?
Identify reductant in following reaction.
$\mathrm{H_2S} + \mathrm{NO_2} \rightarrow \mathrm{H_2O} + \mathrm{NO} + \mathrm{S}$
Identify the compound from following having lowest boiling point.
What is the value of critical temperature of water?