Señor montana, ¿ gustan las verduras con la carne?

a carlota y a pepa no gusta preguntar a la directora.

pablo, ¿ gusta la navidad?

a mis hermanos y a mí gustan los días festivos.

choices are:
nos
te
le
les

 The correct answers are:

Señor Montana, le gustan las verduras con la carne?

A Carlota y a Pepa no les gusta preguntar a la directora.

Pablo, ¿Te gusta la Navidad?

A mis hermanos y a mí nos gustan los días festivos.

Explanation:

 This is the case of use of unstressed personal pronoun.

This type of pronoun is used as a direct or indirect complement, or as a form of pronominal verb.

In this case they are all examples of unstressed personal pronouns of indirect complement, and usually refer to people.

Next I will write which pronoun corresponds to each person in Spanish:

YoMe

TúTe

ÉlLe, se

EllaLe, se

ElloLe, se

UstedLe, se

Nosotros     Nos

NosotrasNos

VosotrosOs

VosotrasOs

VosOs

EllosLes, se

EllasLes, se

Ustedes     Les, se

so what i did was i used google translate and this is what i got. where do you live? what do you do in your free time? what kind of music, food, sports do you like? what is your favorite color? who is your favorite artist? so what they are doing is asking u questions about urself and u have to respond in spanish or english i bealive. hope this : )