Which of the following is a criterion for establishing eligibility for Veterans Pension without a formal disability determination?

The criterion that establishes eligibility for Veterans Pension without a formal disability determination focuses on specific life circumstances or conditions that indicate an individual's need for support. Being a patient in a nursing home for long-term care aligns with these criteria, as it demonstrates a significant limitation in daily living activities and a reliance on institutional care, which may indicate financial need.

Options reflecting age restrictions or specific registry qualifications do not apply to Veterans Pension eligibility without a disability determination. The program is designed to assist veterans with limited income, and residing in a nursing home can highlight this financial need. Similarly, while former prisoners of war may have distinct benefits or considerations related to their service, the eligibility for Veterans Pension specifically necessitates conditions like those described in the correct answer to avoid the formal disability determination requirement.