List of top Questions asked in MHT CET- 2025

$\int \sin^5 x \,dx =$
The equation of the circle passing through the point $(1, 1)$ and having two diameters along the pair of lines $x^2 - y^2 - 2x + 4y - 3 = 0$ is
The shortest distance between the line $y - x = 1$ and the curve $x = y^2$ is
The acute angle between the diagonals of a parallelogram whose vertices are A(2, -1), B(0, 2), C(2, 3) and D(4, 0) is
20 is divided into two parts so that the product of the cube of one part and the square of the other part is maximum, then these two parts are
The direction cosines of the line $x - y + 2z = 5$ and $3x + y + z = 6$ are
The general solution of $x(x - 1)\frac{dy}{dx} = x^3(2x - 1) + (x - 2)y$ is
Identify the correct decreasing order of stability of complexes formed by divalent metal ions with same ligand.
Calculate the osmotic pressure of 0.03 mole of non electrolyte solute dissolved in $0.1\text{dm}^3$ of water at $300 \text{ K}$. $[\text{R} = 0.082\text{dm}^3 \text{ atm mol}^{-1} \text{ K}^{-1}]$}
Calculate the molar mass of an element if it forms fcc unit cell structure [mass of unit cell $= 1.8 \times 10^{-22} \text{ g}$, $\text{N}_\text{A} = 6.022 \times 10^{23} \text{ mol}^{-1}$]
Which among the following compounds has lowest boiling point?
Identify a molecule having highest number of lone pair of electrons in valence shell of central atom.
If salicylic acid ( $138 \text{ u}$ ) reacts with acetic anhydride ( $102 \text{ u}$ ) to from aspirin ( $180 \text{ u}$ ) calculate % atom economy.
Which of the following equations is correct regarding rate of disappearance of reactant and appearance of product for $\text{N}_{2(\text{g})} + 3\text{H}_{2(\text{g})} \longrightarrow 2\text{NH}_{3(\text{g})}$}
Identify the structural formula of phloroglucinol.
Which from following statements is correct regarding a detergent sodium lauryl sulphate?
What is the mass in grams of $0.25 \text{ mol}$ water?
Which from following is an essential amino acid?
Calculate the concentration of dissolved gas in water at $25^\circ\text{C}$ if partial pressure of gas at same temperature is 0.15 atm . $[\text{K}_\text{H} = 0.15 \text{ moldm}^{-3} \text{atm}^{-1}]$}
Calculate the total number of tetrahedral and octahedral voids formed in 0.6 mol of a compound if it forms hcp structure.
What is the number of unpaired electrons in Ti in +3 state?
Identify thermoplastic polymer from following.
The rate constant for the reaction, $2\text{N}_2\text{O}_{5(\text{g})} \longrightarrow 2\text{N}_2\text{O}_{4(\text{g})} + \text{O}_{2(\text{g})}$ is $4.98 \times 10^{-4} \text{ s}^{-1}$ . What is the order of reaction?
Which of the following is not negatively charged sol?
Which of the following set of elements is present in apatite?