List of top Questions asked in MHT CET- 2020

If $AX = B$, where $A = \begin{bmatrix} 1 & 3 & 3 \\ 1 & 4 & 4 \\ 1 & 3 & 4 \end{bmatrix}$, $X = \begin{bmatrix} x \\ y \\ z \end{bmatrix}$ and $B = \begin{bmatrix} 12 \\ 15 \\ 13 \end{bmatrix}$, then $x^2 + y^2 + z^2 =$

The bacteria increases at the rate proportional to the number of bacteria present. If the original number $N$ doubles in $4$ hours, then the number of bacteria in $12$ hours will be

The angle between the lines $\vec r = (2\hat i + \hat j - 3\hat k) + \lambda(\hat i - \hat j + \hat k)$ and $\dfrac{x-1}{1} = \dfrac{y+2}{3} = \dfrac{z-3}{2}$ is

The equation of the line passing through the point $(1,2,3)$ and perpendicular to the lines $\dfrac{x-1}{1} = \dfrac{y-2}{2} = \dfrac{z-3}{3}$ and $\vec r = \lambda(-3\hat i + 2\hat j + 5\hat k)$ is

The differential equation of the circles having their centres on the line $y = 8$ and touching the $x$-axis is

The value of $\cos^{-1}\left(\cos\left(\frac{7\pi}{6}\right)\right)$ is

The function $f(x) = (x + 2)e^{-x}$ is

The integrating factor of the differential equation $(1 + y + x^2y)\,dx + (x + x^3)\,dy = 0$ is

If the length of perpendicular drawn from the point $(4,1)$ on the line $3x - 4y + k = 0$ is $2$ units, then the values of $k$ are

The principal solutions of $\cos 2x = -\frac{1}{2}$ are

Identify the reducing agent in the following reaction:
\[ \mathrm{CH_4(g) + O_2(g) \rightarrow CO_2(g) + 2H_2O(l)} \]

Which is an example of molecular hydride?

Which among the following amino acids has the lowest molecular mass?

If $Z = 10x + 25y$ subject to $0 \le x \le 3$, $0 \le y \le 3$, $x + y \le 5$, $x \ge 0$, $y \ge 0$, then $Z$ is maximum at the point

A problem in statistics is given to three students $P$, $Q$ and $R$. Their chances of solving the problem are $\frac{1}{2}$, $\frac{1}{3}$ and $\frac{1}{4}$ respectively. If all of them try independently, then the probability that the problem is solved is

Which of the following groups increases the basic strength of substituted aniline?

Which among the following is an example of metal–sparingly soluble salt electrode?

How much part of an atom occupies each corner of a bcc unit cell?

Which of the following is reacted with benzaldehyde to obtain 1-phenylethanol?

Which of the following alcohols is least soluble in water?

Which among the following elements is obtained in pure form by liquation process of refining?

Which among the following is an example of amorphous solid?

Which of the following alloy contains Al, Cu, Mg and Mn?

Which of the following is the formula of BHA?

\[ If 2\,\text{kJ of heat is released from the system and } 6\,\text{kJ of work is done on the system,} \] what is the enthalpy change of the system?