The reflex angle between the hands of a clock at 10:25 is:

180°
192 1/2°
195°
197 1/2°

Correct answer: 197 1/2°

Solution

At 10:25, the minute hand is at 150° from 12. The hour hand is at 10 × 30° + 25 × 0.5° = 312.5° from 12, so the smaller angle is 162.5°. Therefore, the reflex angle is 360° − 162.5° = 197.5° = 197 1/2°.

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