List of top Questions asked in MHT CET

The value of $\int_1^4 \log[x]\text{d}x$, where $[x]$ is the greatest integer function is equal to

The statement pattern $[(p \rightarrow q)\land \sim q] \rightarrow r$ is a tautology when $r$ is equivalent to

$\lim_{x \to 3} \frac{(84-x)^{\frac{1}{4}} - 3}{x - 3}$ is

The point of intersection of the diagonals of the rectangle whose sides are contained in the lines $x = 8, x = 10, y = 11$ and $y = 12$ is

If $3 \sin \alpha = 5 \sin \beta$, then $\tan \left( \frac{\alpha+\beta}{2} \right) + \tan \left( \frac{\alpha-\beta}{2} \right) =$

A plane passes through $(1, -2, 1)$ and is perpendicular to the planes $2x - 2y + z = 0$ and $x - y + 2z = 4$. The distance of the point $(1, 2, 2)$ from this plane is ________ units.

The Cartesian equation of plane through A$(7, 8, 6)$ and parallel to the XY plane is

The distance of the point $(-3, 2, 3)$ from the line passing through $(4, 6, -2)$ and having direction ratios $-1, 2, 3$ is ________ units.

Which of the following alkenes is most easily formed by dehydrohalogenation of alkyl halides?

If $[2\bar{p} - 3\bar{r} \quad \bar{q} \quad \bar{s}] + [3\bar{p} + 2\bar{q} \quad \bar{r} \quad \bar{s}] = m [\bar{p} \quad \bar{r} \quad \bar{s}] + n [\bar{q} \quad \bar{r} \quad \bar{s}] + t [\bar{p} \quad \bar{q} \quad \bar{s}]$, then the values of m, n, t respectively are ....

The number of ways, in which 6 boys and 5 girls can sit at a round table, if no two girls are to sit together, is

Select the correct IUPAC name of pyrogallol.

In a chemical reaction, sum of formula weight of all reactants is 274 u and atom economy is 50%, calculate formula weight of desired product?

Which among the following salts is NOT hydrolysed in water?

Identify the correct order of thermal stability of hydrides of 16 group elements from the following.

Calculate the longest wavelength in hydrogen emission spectrum of Lyman series.
\([\text{R}_{\text{H}} = 109677\text{ cm}^{-1}]\)

Calculate the number of atoms present in 1.58 g metal if it forms bcc structure.
\([\rho \times \text{a}^3 = 1.58 \times 10^{-22}\text{ g}]\)

Which from following cations develops lowest value of spin only magnetic moment?

Four vessels of same volume consist equal masses of four gases \(\text{H}_2\), \(\text{Cl}_2\), \(\text{N}_2\), and \(\text{O}_2\) separately at same temperature. The pressure exerted by the gas is maximum for

How long should aqueous \(\text{NaCl}\) be electrolysed by passing 100 ampere current, so that 0.5 mol chlorine is released at anode?

Which of the following is the structure of an alcohol with molecular formula \(\text{C}_5\text{H}_{12}\text{O}\)?

The solubility product of a sparingly soluble salt AX is \(4.9 \times 10^{-13}\). What is its solubility in \(\text{mol dm}^{-3}\) ?

Match column I (process) with column II (application)

Which from following polymers is obtained by addition polymerisation method?

Identify the product ' B ' in the following reaction sequence.
Alkyl halide \(\xrightarrow{\text{Mg/Dry ether}} \text{A} \xrightarrow{\text{NH}_3} \text{B}\)