Which term refers to a lively and fast tempo?

The term that refers to a lively and fast tempo is "Allegro." In musical terminology, "Allegro" indicates a tempo that is brisk and cheerful, typically between 120 to 168 beats per minute. Composers use this term to convey energy and enthusiasm in a piece, making it one of the most commonly used tempos in various musical genres.

By contrast, the other terms represent different tempos. "Presto" denotes an even faster tempo than "Allegro," generally faster than 168 beats per minute. "Andante" indicates a moderate tempo, often described as walking speed, while "Adagio" refers to a slower tempo, conveying a sense of calm and relaxation. Hence, "Allegro" stands out as the correct term for a lively and fast tempo.