It is advantage of giving home work that students

Option A: Remain busy at home
While students may indeed remain occupied at home with homework, this is not necessarily the primary advantage of assigning homework.

Option B: Study at home
Studying at home is a potential outcome of homework, but it does not capture the full advantage of why homework is assigned.

Option C: May be checked for their progress
Checking students' progress is one benefit of homework, but it is not the primary advantage discussed here.

Option D: May develop habit of self-study
This is the correct option. Assigning homework encourages students to study independently at home, fostering self-discipline and the habit of self-study.

In conclusion, the correct answer is Option D: May develop habit of self-study, as it reflects a significant advantage of assigning homework to students.