Final answer:
Fault-Tolerant Cloud Service is the correct answer as it describes a cloud service designed to remain available after a failure, through redundancy and various resilient components.
Step-by-step explanation:
A cloud service that remains available after a failure is generally described as a Fault-Tolerant Cloud Service. This service is designed to continue operating properly in the event of the failure of some of its components. Fault-tolerant systems are critical in high-availability or life-critical systems, where having access to the cloud service at all times is of the utmost importance.
The fault tolerance is achieved through redundancy, which may include hardware, software, or informational redundancy to prevent service disruption. In contrast, Disaster Recovery as a Service (DRaaS) is a cloud computing service model that enables an organization to back up its data and IT infrastructure in a third-party cloud computing environment and provides all DR orchestration in the cloud. A Resilient Cloud Offering and a Persistent Cloud Solution are more general terms that can relate to various cloud services designed for robustness and long-term data persistence, respectively.