List of top Questions asked in MHT CET- 2025

Let $\vec{a} = \hat{i} + \hat{j} - \hat{k}$ and $\vec{c} = 5\hat{i} - 3\hat{j} + 2\hat{k}$ and if $\vec{b} \times \vec{c} = \vec{a}$ then $|\vec{b}|$ = ______.

The angle $\theta$, at which the curves $y = 3^x$ and $y = 7^x$ intersect, is given by ______.

With usual notations in $\triangle ABC$, if $\angle B = \pi/2$, and $\tan A, \tan C$ are roots of equation $px^2 + qx + r = 0, p \neq 0$, then ______.

The straight line passing through $(-3, 6)$ and midpoint of the line segment joining the points $(4, -5)$ and $(-2, 9)$ have inclination ______.

The eccentricity of the hyperbola which passes through the points $(3, 0)$ and $(3\sqrt{2}, 2)$ is \dots

$\cos^4(\pi/8) + \cos^4(3\pi/8) + \cos^4(5\pi/8) + \cos^4(7\pi/8) = \dots$

The general solution of differential equation $(y^2 - x^2)dx = xy dy$ ($x \neq 0$) is ______.

If instantaneous rate of reaction is stated as $-\frac{1}{2} \frac{d[x]}{dt} = -\frac{d[y]}{dt} = \frac{1}{2} \frac{d[z]}{dt}$, identify the reaction.

Which among the following salts forms basic solution when dissolved in water?

What is the charge required to convert 2 mol $KMnO_4$ to $MnSO_4$?

Find the volume of 56 g dinitrogen at STP.

Calculate the work done in joule if 1 mole of an ideal gas compressed from volume 24 dm$^3$ to 13 dm$^3$ at constant external pressure 3 bar.

Identify the product formed when 2-Bromobutane is heated with aqueous solution of sodium hydroxide.

Which from following polymers is used as wool substitute?

Calculate the vapour pressure of solution if relative lowering of vapour pressure and vapour pressure of pure solvent are 0.018 and 18 mm Hg respectively at 300 K.

Which from following compounds does NOT contain nitrogen in it?

Which from following elements in respective oxidation state develops highest spin only magnetic moment?

Find the EAN of Zn in $[Zn(NH_3)_4]^{2+}$?

A container contains 4 g $H_2$, 4 g $He$ and certain amount of 'Ne' at a certain temperature. What is the mass of 'Ne' required so that the partial pressure exerted by 'Ne' is equal to the partial pressure of He?

Which from following is an example of both intensive property and state function?

Calculate the number of moles of nonvolatile solute dissolved in 0.5 kg solvent if molal elevation constant for solvent is 2 kg K mol$^{-1}$ [$\Delta T_b = 0.8$ K].

If standard reduction potential ($E^\circ$) of ($Mg^{2+} | Mg(s)$), ($Ag^+ | Ag(s)$), ($Zn^{2+}(aq) | Zn(s)$) and ($Cu^{2+}(aq) | Cu(s)$) are $-2.37$ V, $+0.79$ V, $-0.76$ V and $+0.34$ V respectively. Which of the following reaction is spontaneous?

Which from following statements is NOT true for phenol?

In carbinol system, sec-Butyl alcohol is named as ______.

Calculate the number of unit cells in 1 cm$^3$ volume of metal if unit cell edge length is $1.25 \times 10^{-8}$ cm.