Interested in Language
The advance language practice related exercise "What...you/do this Saturday evening? Would you like to go out" suggests that only two options are correct. Namely, are you doing and are you going to do are correct answers. Can I use also future continuous "will you doing"? Mant thanks.
Note, though, that you need to add "be" into the future continuous:
What will you be doing this Saturday evening?
What will you be eating next week?
Where will you be sitting when you go to the theatre?