Has an Olympic Basketball (Men) game ever ended 81-62?
Exactly once. On January 1, 1964, Australia beat Peru 81-62, and no Olympic Basketball (Men) game before or since has ended that way. When it happened it was a scorigami, the first 81-62 in league history.
That makes 81-62 the 126th most common final score out of 698 that have ever occurred in Olympic Basketball (Men). One point away, 82-62 has happened 1 times and 81-63 has happened 1 times.