The correct answer is "sucios" (dirty) because it agrees in number and gender with "los platos" and because it makes sense in context. The answer choice "rotos" (broken) wouldn't make sense because there's no reason to wash broken plates.

English translation: "The plates are dirty, so one must wash them."

Both "único" (only) and "segundo" (second) agree in number and gender with "hijo;" however, only "único" (only) fits in context, as it would not make sense for someone to say that they are an "hijo segundo" (second child) if that person is claiming not to have any siblings.

English translation: "I do not have siblings; I am an only child."

Based on context, only "roto," which means broken, would fit in this sentence. "Calificado" means qualified or proven, "maltratado" means mistreated or abused, and "involucrado" means involved (in something).

English translation: "The electronic device is not charging; it seems to me that it is broken."