The correct option is A RCOO−<HC≡C−<NH−2<R−
As we move from left to right, basicity of the anion decreases due to the increase in effective nuclear charge. So, the basicity of R− is highest.
However, amide is more basic than acetylide because sp carbon is more elecronegative.
In case of RCOO− the negative charge is in conjugation. So, the basicity is least.
Hence, the correct order is A