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Solution to CyberTeaser B231

The short (hour) hand of a clock turns at the rate of 360°/12 hours = 30° per hour, or ½° per minute. The long (minute) hand turns at the rate of 360°/60 minutes = 6° per minute. Thus the angle between the short hand and the direction of 7:00 o’clock is 38 × ½° = 19°. The angle between the long hand and the same direction is 38 × 6° – 210° = 18°. Therefore, the answer is 1°.

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