Which of the following entities has the authority to administer a deceased's estate if no executor is appointed?

In cases where a deceased individual's estate has no appointed executor, the high court plays a critical role in the administration of the estate. This function typically involves the court appointing someone, often referred to as an administrator, to manage the estate's assets and settle any debts or obligations. This appointment ensures that the estate is handled in accordance with legal requirements and the deceased’s wishes, as expressed in their valid Will or in accordance with intestacy laws if no Will exists.

The high court’s authority in this matter is vital as it provides a structured and legally sanctioned process for resolving the estate’s affairs. By appointing an administrator, the court ensures that there is an accountable and legally responsible party overseeing the distribution of the deceased's assets, thus protecting the interests of beneficiaries and creditors.

Other entities listed, such as the next of kin or a local council, do not possess the formal authority required to legally administer an estate without a court mandate. The executor of a previous Will also cannot act unless they are specifically appointed for the estate in question, making the high court the correct choice in the absence of a designated executor.