Hi please consider following chart depicts the influence of certain functional groups which can be electron donating or electron withdrawing.
Electron withdrawing order found for present problem: -NHR < -OH < -COR < -CONHR
Amide can behave as an acid in the given set due to resonance. Oxygen is more electronegative than carbon atom and pulls the bonding pair of caroxyl group in amide (option C), then lone pair of electrons on Nitrogen atom can participate and forms a double bond with carbon atom. Now Nitrogen atom is positively charge, hence it will easily lose proton as (H+), hence acidic, electrolyte. The same type of thing will also happen in option b, where adjacent methylene group will lose a proton and behaves as electrolyte. But there is no such resonance seen in option a.
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