Does the sentence "There is a general method to formally add inverses to elements to any (abelian) monoid, much the same way as (Q {0}, ) is derived from (Z {0}, ), known as the Grothendieck group." provide a valid answer to the question "What method formally adds inverses to elements to any monoid?"

A: yes

Does the sentence "This is achieved with a TV aerial, just as it has been since the 1940s except now the major network signals are broadcast in high definition (ABC, Fox, and Ion Television broadcast at 720p resolution; CBS, My Network TV, NBC, PBS, and The CW at 1080i)." provide a valid answer to the question "Most television sets sold since what year have an ATSC tuner?"

A: no

Does the sentence "Security for the state visits was usually high to keep him away from protesters, who would frequently burn the Yugoslav flag." provide a valid answer to the question "What did protesters scream during Tito's visit to the United Nations in the late 1970's?"

A: no

Does the sentence "The Shunga Empire played an imperative role in patronizing Indian culture at a time when some of the most important developments in Hindu thought were taking place." provide a valid answer to the question "How long did Pushyamitra Shunga rule?"

A:
no