Answer:
we must complete the blanks with the given options:
1) A Gloria ____ zanahorias.
Now, Gloria is in singular, and Zanahorias is in plural (words that end with an -s usually are plural), and we are talking of Gloria, so the person is "Ella", then the correct option here is "Le encantan", where the fact that "encantan" ends with an -n means that refers to something in plural.
A Gloria le encantan las zanahorias.
2) A Maria ____ comer el queso y las zanahorias.
Now, again, Maria is in singular, the person is "ella", but now we are talking about a verb, "comer", so the correct option here is "Le encanta"
AMaria le encanta comer el queso y las zanahorias.
3) A mi no _____ las papas.
Now, the person is "yo", and again, papas is in plural, so the correct option is "me gustann"
A mi no me gustan las papas.
4) A mi ____ comer las papas y los frijoles.
Again, the person here is "Yo", and now we are talking to a verb, so does not mater that "Papas y frijoles" are in plural, the correct option here is "Me gusta"
A mi me gusta comer las papas y los frijoles.
