Question

Какой вариант правильней: What are you like doing in your spare time? Или
What do you like doing in your spare time?​

Answer 1

1. What are you like doing in your spare time

Answer 2

What do you like doing in your spare time?​

Объяснение:

What are you like doing in your spare time? - форма are you like является грамматически не допустимой.

Даже, если исправить глагол на допустимую форму Pr Cont,  мы не можем использования глагол состояния like с окончанием ing, т.е. are you liking.