Which of the following allows men to be removed from payroll during standby?

The option indicating that leaving the site without permission from the foreman allows for removal from payroll during standby is based on established protocols regarding workplace attendance and supervision. When employees are on standby, they must remain available and on site, as their presence is required for operational readiness. Leaving without the foreman's consent constitutes a breach of this expectation, as it undermines the supervision structure and can create operational gaps. It is crucial in many labor agreements to maintain an accountable work environment, and unauthorized departure directly affects this accountability.

The other options pertain to different issues but do not impact payroll status in the same way. Waiting too long without addressing a problem may lead to inefficiencies but does not inherently justify removal from payroll. Asking for additional tools for safety reflects a worker's concern for proper job conditions and should not be penalized. Not following instructions from the steward may indicate a failure to comply with workplace rules, but typically, disciplinary actions would arise from serious violations rather than payroll removal. Thus, the specific action of leaving the site unauthorized is the clearest ground for payroll removal in the context of standby.