Option 1 -> voracity means extreme hunger or greed, which doesn't relate to statements or integrity.
Option 2 -> villainy means wickedness or evil behavior, which contradicts being "a man of integrity."
Option 3 -> virtuosity means great skill in art or music, which doesn't fit the context of evaluating a statement.
Option 4 -> veracity means truthfulness or accuracy, which perfectly fits as integrity implies honesty.
Hence, veracity -> A man of integrity is known for his honesty and truthfulness, so people would naturally not question the veracity (truthfulness) of his statements -> correct