Which of the following offers programs to earn a master's degree or a
doctorate?

Hello. This question is incomplete. The complete question would be:

"Which of the following offers programs to earn a master's degree or a doctorate?  A. A junior college , B. A community college , C. A trade school , D. A university"

D. A university

Explanation:

Only the university is able to offer masters and doctoral programs. The master's and doctorate courses are an integral part of the university complex, necessary for the full realization of the university's essential purposes.

The master's and doctorate degrees are long-term courses and are usually chosen by those seeking academic training in the field of scientific research or wanting to pursue a career as a teacher. In some cases, masters and doctoral students may be admitted by industrialists, but the academic career is the target of these students.