Given: Two reactions are shown, one with an electron-donating group −OCH3 and one with an electron-withdrawing group −NO2.
Find: The correct order of reaction (I) and reaction (II).
The solution states that the reaction involving an electron-donating group like −OCH3 increases electron density and makes reaction (I) proceed by a first-order mechanism.
It further concludes that reaction (II) also involves a 1st order mechanism, and explicitly states: "Thus, the correct answer is (3): Reaction (I) is of 1st order and reaction (II) is of 1st order."
Therefore, the correct option is C.

Note: The explanatory image labels the electron-withdrawing group case as SN2 and 2nd order, but the written conclusion on the solution declares both reactions to be first order. As per the provided the solution authority, the final marked answer is taken as C.