The correct option is A −NO2
The stability of carboxylate ion depends upon the −M effect power of the substituent X. If the substituent shows higher −M effect, the carboxylate ion formed will be the most stable.
Among the given substituents only −NO2 will show −M effect, all other groups will show +M effect. Therefore, for carboxylate ion to be stable, X has to be −NO2.