Which court has criminal jurisdiction over serious offences such as rape or robbery?

The District Court is the appropriate court with criminal jurisdiction over serious offences such as rape or robbery. This court handles a range of indictable offences and is designed to address cases that are too serious for the Local Court but may not necessarily reach the level of severity that requires the attention of the Supreme Court.

The Local Court primarily deals with summary offences and less serious criminal matters, making it unsuitable for serious crimes like rape or robbery. The Supreme Court, while it does have the jurisdiction to hear serious offences, typically handles the more severe cases, including high-profile or complex criminal cases, and appeals from lower courts. The Children's Court specifically addresses matters involving minors and juvenile offenders, thereby excluding serious adult offences such as those mentioned in the question.

Thus, the District Court is rightly highlighted as the court responsible for addressing the serious nature of crimes like rape and robbery, making it the correct choice for this question.