¿qué compró fernando?
a. fernando compró dos lámperas nuevas.
b. fernando compró dos lámpar nuevas.
c. fernando compró dos lámparas nuevas.
d. fernando compró dos lámpara nuevas.

Firstly we have an interrogative sentence written with the verb comprar (to buy) in simple past tense with the 3rd person in singular él (he), which is Fernando, as compró (he bought):

¿Qué compró Fernando?

What did Fernando buy?

Hence, the answer must be done with the same verbal tense.  

Now, we know Fernando bought two new lamps, but in Spanish the adjective must match in gender and number with the noun.

In this case, we have the word lámparas (lamps) which is a feminine plural noun, and the correct adjective from the options is nuevas (new) which is also feminine and plural.

Therefore, the complete sentence in English is: Fernando bough two new lamps and the correct answer is C.

The other options are incorrect because:

-lámperas nuevas: the word lámperas does not exist in spanish.

-lámpar nuevas: the word lámpar does not exist in spanish.

-lámpara nuevas: there is not accordance between the singular noun lámpara (lamp) with the plural adjective nuevas (new).