List of top Questions asked in MHT CET- 2020

The rate of growth of bacteria is proportional to the bacteria present. If it is found that the number doubles in 3 hours, then the number of times the bacteria are increased in 6 hours is
An urn contains 4 red and 5 white balls. Two balls are drawn one after the other without replacement. Find the probability that both the balls are red.
The joint equation of two lines through the origin, each of which makes an angle of \(30^\circ\) with the line \(x + y = 0\), is
If \(\displaystyle \sin\!\left(\frac{x+y}{x-y}\right) = \tan \frac{\pi}{5}\), then find \(\displaystyle \frac{dy}{dx}\).
The probability mass function of a random variable \(X\) is given by \[ P(X = x) = \frac{5cx}{2^5}, \quad x = 0,1,2,3,4,5 \] \[ P(X = x) = 0, \quad \text{otherwise} \] Then find \(P(X \le 2)\).
If \[ A = \begin{bmatrix} 2 & 3 \\ 1 & 2 \end{bmatrix}, \quad B = \begin{bmatrix} 1 & 0 \\ 3 & 1 \end{bmatrix}, \] then find \((AB)^{-1}\).
Identify basic amino acid from following
If $2.0$ g of NaOH is dissolved in $500\ \text{cm^3$ of water, what is molarity of solution ?}
Find the value of the following expression:
\[ 5^2 + 6^2 + 7^2 + \cdots + 20^2 = \]
The probability density function of a random variable \(X\) is given by \[ f(x) = \frac{k}{\sqrt{x}}, \quad 0 \le x \le 4 \] \[ f(x) = 0, \quad \text{otherwise} \] Find \(P(1<X<4)\).
The acute angle between the line \[ \vec{r} = (i + 2j + k) + \lambda (i + j + k) \] and the plane \[ \vec{r} \cdot (2i - j + k) = 5 \] is
With usual notations in \( \triangle ABC \), \(a = 3\), \(c = 2\) and \(\sin C = \dfrac{2}{3}\), then \(\angle A =\)
Which of the following equations has $\Delta_f H^\circ$ and $\Delta H^\circ$ same ?
Separation of Acetone and Benzene from their mixture is carried out by
Which gas among the following contains maximum number of molecules at STP ?
(Molar masses in g mol$^{-1}$: CO$_2$ = 44, Ar = 39.9, CH$_4$ = 16, O$_2$ = 32)
How many isomers of monobromoderivatives are obtained on bromination of the following compound ?
When soap is added on an oily part of cloth, the hydrocarbon part of soap dissolves in
Which of the following compounds on heating with potassium permanganate and dilute sulphuric acid forms adipic acid ?
Which of the following oxyacid of sulphur contain both S=S and S=O bonds ?
When one mole of lactose is hydrolysed, the hydrolysate contains
Which of the following compounds is obtained when quaternary ammonium hydroxide is strongly heated ?
What is the formula of lithium imide?
How many hydroxy groups are present in hydroxyquinol?
Which oxide formation according to Ellingham diagram shows a graph with sudden change in slope?
How many lone pair of electrons are present on chlorine atom in chlorous acid ?