Which statement is true about the appointment of a company auditor?

The statement regarding the appointment of a company auditor being made by the Secretary of State if the members fail to do so is accurate. This provision exists to ensure that companies have the necessary independent oversight required by law, even in situations where the members (the shareholders) do not take the initiative to appoint an auditor themselves.

In many jurisdictions, corporate law stipulates that companies are required to have auditors to enhance transparency and accountability in their financial reporting. If the members fail to appoint an auditor during the annual general meeting or within the specified timeframe, the law often allows for the Secretary of State or a similar authority to step in and make the appointment. This mechanism serves to protect stakeholders by ensuring that a company maintains its obligation to have an audit performed, which is crucial for maintaining trust and integrity in the financial system.

In contrast, the other options do not encapsulate the legal framework accurately. While company members typically play an important role in selecting auditors, options suggesting that only members or the board can appoint auditors do not reflect the legal provisions allowing for oversight from a regulatory authority.