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($A$) a high activation energy usually implies a fast reaction.
($B$) rate constant increases with increase in temperature. This is due to a greater number of collisions whose energy exceeds the activation energy.
($C$) higher the magnitude of activation energy, stronger is the temperature dependence of the rate constant.
($D$) the pre-exponential factor is a measure of the rate at which collisions occur, irrespective of their energy.
(nearest integer)
[Given : Molar mass of $\mathrm{AB}_2=200 \mathrm{~g} \mathrm{~mol}^{-1} \cdot \mathrm{K}_{\mathrm{b}}$
(molal boiling point elevation const. of water)
$=0.52 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$, boiling point of water $=100^{\circ} \mathrm{C}$;
$\mathrm{AB}_2$ ionises as $\left.\mathrm{AB}_2 \rightarrow \mathrm{A}^{2+}+2 \mathrm{~B}^{-}\right]$