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Logical Reasoning
hardQ. No. 19732

Using relative angular motion, answer this: what is the interval between two successive coincidences of the clock hands, in minutes?

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A60 minutes
B62 5/11 minutes
C66 minutes
D65 5/11 minutes
Correct Answer: 65 5/11 minutesYour Answer: D

Explanation

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.

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