Which amendment to the U.S. Constitution set the minimum drinking age at twenty-one?

The Twenty-First Amendment to the U.S. Constitution is the correct choice because it is the amendment that repealed Prohibition, effectively allowing for the legal sale and consumption of alcohol again. While it does not explicitly state a minimum drinking age, it provided the framework for states to regulate alcohol laws. The National Minimum Drinking Age Act of 1984, which encouraged states to set the minimum drinking age at twenty-one, is often associated with the enforcement of laws regarding alcohol consumption, thus connecting it to the broader implications of the Twenty-First Amendment.

The other amendments listed—Twenty-Third, Twenty-Fourth, and Twenty-Fifth—address different issues, such as granting presidential electors to Washington D.C., prohibiting poll taxes in federal elections, and outlining presidential succession and disability, respectively. None of them are related to the legal age for alcohol consumption.