A writer would use a singular verb for "the head of government and state."
Explanation: This phrase refers to a single person holding both titles. In this context, even though there are two titles mentioned ("government" and "state"), they point to one individual, which requires a singular verb.
For the other options:
- "folding pants and ironing shirts," "swimming and dancing," and "the fingers and toes" refer to multiple actions or entities, which would require a plural verb.