Statement-I: Rate constant of exothermic reaction increases with increase in temperature.

Statement-II: Rate of zero order reaction decreases with time.

I) As temperature increases, number of activated molecules increases. Rate constant of both exothermic and endothermic reaction increases;

 Magnitude of increase is more in endothermic reaction than in exothermic reaction because the increase in the fraction of activated molecules in endothermic reactions is more than in exothermic reactions.

II) For a zero order reaction 

rate of reaction remains constant with time.