The number of moles of electrons required to deposit $36 \ g$ of $Al$ from an aqueous solution of $Al(NO_3)_3$ is (At. wt. of $Al = 27$)

The incentre of the triangle formed by the lines $x+y=1$,$x=1$,and $y=1$ is

$A$ transformer works on the principle of

The maximum possible number of real roots of the equation $x^5 - 6x^2 - 4x + 5 = 0$ is

If the coefficient of $x$ in the expansion of $(x^2 + \frac{k}{x})^5$ is $270$,then $k =$

For the reaction $CO_{(g)} + H_2O_{(g)} \rightleftharpoons CO_{2(g)} + H_{2(g)}$,at a given temperature,the equilibrium amount of $CO_{2(g)}$ can be increased by