Final answer:
The compulsory off-duty hours before starting a new 14-day work cycle depend on the industry and country. For the U.S. trucking industry, drivers must take at least 34 consecutive hours off, which is not listed among the provided options.
Step-by-step explanation:
The question pertains to the mandatory rest period before starting a new 14-day work cycle. Without context, it's difficult to pinpoint the exact compulsory off duty hours as regulations differ across industries. For instance, in the transportation industry, such as trucking or aviation, there are specific regulations for rest periods imposed by governing bodies like the Department of Transportation. Without specifying the industry or country's regulations, it's impossible to give a concise answer. However, if this is in relation to the rules applied within the United States for the trucking industry, the Federal Motor Carrier Safety Administration (FMCSA) rules mention that drivers must take at least 34 consecutive hours off before restarting a 7 or 8 consecutive day cycle, which is not an option listed.