Correct answer: Option D — 65 5/11 minutes. The relative speed of the minute hand over the hour hand is 5.5° per minute. Applying the required separation over a 12-hour cycle gives the verified result 65 5/11 minutes. Option A (60 minutes) is rejected because it does not equal the computed result; it represents a counting, direction, leap-year, interval, or hand-motion error. Option B (62 5/11 minutes) is rejected because it does not equal the computed result; it represents a counting, direction, leap-year, interval, or hand-motion error. Option C (66 minutes) is rejected because it does not equal the computed result; it represents a counting, direction, leap-year, interval, or hand-motion error.