which one is correct?
do you think, are they disgusting?
do you think, they are disgusting?
Or you could add a word and change the punctuation, to make the first acceptable: "What do you think? Are they disgusting?" [in which 'Are' is possible, but 'Aren't' is more likely].
Do you think they are?
-Are they ready?
-Do you think they are ready
Do they do?
Do you think they do?
-Do they have uniforms?
-Do you think they have uniforms?
The verb "to be" gets switched in a question (You are./ Are you?). Think of the second sentence as a compound sentence: "They are ready" "Do you think: They are ready" "They are ready, don't you think"