Which of the following statuses indicates that a person is not required to register for work?

A person receiving disability payments is not required to register for work because their condition may limit their ability to seek or maintain employment. Disability benefits are designed to provide financial assistance to individuals who are unable to work due to a physical or mental impairment. This status acknowledges that the individual's circumstances are such that they may not be actively participating in the workforce, thus exempting them from work registration requirements.

The other options involve statuses where individuals might still be expected to engage with the job market. For example, being a full-time student, even with dependents, may not exempt someone from needing to look for work, as depending on state regulations, students may be required to register and report their availability for employment. A part-time employee is actively working, so they clearly do not fall under the category of those needing exemption from job registration. Lastly, an unemployed individual without dependents may still be actively seeking work and thus would be required to register. In contrast, those receiving disability payments are explicitly acknowledged as being in a situation where work registration is not necessary.