Ami me gusta la carne a. asada b. asados c. asado

Asada is an adjective that means roast. An adjective is a word that gives us more information about a noun or pronoun. Adjectives must agree with the noun or pronoun they describe in both number and gender. Since carne is a feminine singular noun, then we must choose a feminine singular adjective and asada meets this requirement. Asados is a masculine plural adjective and asado is a masculine singular adjective. So:

A mí me gusta la carne asada