Conductivity always decreases with the decrease in concentration both, for weak and strong electrolytes.
This can be explained by the fact that the number of ions per unit volume that carry the current in a solution decreases on dilution.
Molar conductivity of a strong and weak electrolyte increases with dilution. On dilution as volume of solution increases. Thus, on dilution, ions get more apart and mobility of ions increases which leads to increase in molar conductivity of the solution.
Except (B) and (E), all statements are correct.