Which of the following is a primary duty of judges?

The primary duty of judges involves interpreting and applying the law impartially in court proceedings. Judges are responsible for ensuring that justice is administered fairly, which typically includes presiding over court cases, making rulings on legal disputes, and issuing sentences when necessary.

Among the options provided, chairing public inquiries and commissions is a role that can occasionally fall to judges, particularly when there is a need for an independent investigation into issues of public concern. This signifies their involvement in upholding the rule of law and ensuring accountability in various matters affecting society.

In contrast, roles such as assuming positions within the executive branch, supervising the police force, and legislating laws are functions typically associated with other branches of government. The executive branch is responsible for implementing laws, the police manage law enforcement, and the legislative branch is tasked with creating laws. Thus, these actions fall outside of the traditional duties and scope of judges within the judicial branch.