List of top Questions asked in MHT CET- 2021

The minimum value of the objective function $z = 4x + 6y$ subject to $x + 2y \ge 80$, $3x + y \ge 75$, $x, y \ge 0$ is
A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is 6. Then the probability that it is actually 6 is
If $4ab = 3h^2$, then the ratio of slopes of the lines represented by $ax^2 + 2hxy + by^2 = 0$ is
Radium decomposes at the rate proportional to the amount present at any time. If $P\%$ of amount disappears in one year, then amount of radium left after 2 years is
The joint equation of pair of lines through the origin and having slopes $(1+\sqrt{2})$ and $\frac{1}{(1+\sqrt{2})}$ is
"If two triangles are congruent, then their areas are equal." is the given statement, then the contrapositive of the inverse of the given statement is
The area of the region included between the parabolas $y^2 = 8x$ and $x^2 = 8y$ is
The vectors $\overrightarrow{\text{AB}} = 3\hat{\text{i}} + 4\hat{\text{k}}$ and $\overrightarrow{\text{AC}} = 5\hat{\text{i}} - 2\hat{\text{j}} + 4\hat{\text{k}}$ are the sides of a triangle ABC. The length of the median through A is
The principal solutions of $\cot x = \sqrt{3}$ are
Which of following is used for synthesis of adipic acid enzymatically by Drath and Frost?
Identify the product formed when ethyl benzene reacts with nitric acid.
The solution containing 6 g urea (molar mass 60) per $\text{dm}^3$ of water and another solution containing 9 g of solute A per $\text{dm}^3$ water freezes at same temperature. What is molar mass of A?
Which of the following represents integrated rate law equation for gas phase first order reaction, $\text{A}_{(\text{g})} \rightarrow \text{B}_{(\text{g})} + \text{C}_{(\text{g})}$ if $P_i =$ initial pressure of A and $P =$ total pressure of reaction mixture at time $t$?
Which among the following is NOT an intensive property?
What is the weight of Al deposited at cathode when 1 ampere current is passed through molten $\text{AlCl}_3$ for 9650 seconds? (At mass of Al = 27)
Ammonia and oxygen react at high temperature as:
$4\text{NH}_{3(\text{g})} + 5\text{O}_{2(\text{g})} \longrightarrow 4\text{NO}_{(\text{g})} + 6\text{H}_2\text{O}_{(\text{g})}$
If rate of formation of $\text{NO}_{(\text{g})}$ is $3.6 \times 10^{-3}\ \text{mol\ L}^{-1}\text{s}^{-1}$ then rate of disappearance of ammonia is
How many hydrogen atoms are bonded to ammonium ion during solvation?
Identify the hetero atom and number of double bonds respectively present in furan?
The IUPAC name of following compound is
Identify compound A from following reaction.
$$\text{A} + \text{C}_2\text{H}_5\text{MgBr} \xrightarrow{\text{dry ether}} \text{B} \xrightarrow{\text{H}_3\text{O}^+} \text{3-methylpentan-3-ol}$$
Which of the following compounds does not undergo vinyl polymerization?
Which of the following statements is true for adsorption?
What is vapour pressure of a solution containing 1 mol of a non-volatile solute in 36 g of water? ($P_1^0 = 400\ \text{mm Hg}$)
Which of the following equations represents integrated rate law for zero order reaction?
pH of soft drink is 3.6. Calculate the concentration of hydrogen ions in it.