Example 1 · level 1
What is the smaller angle (in degrees) between the hour hand and the minute hand of a clock at 7:30?
Show solution
- |30 × 7 − 5.5 × 30| = |210 − 165| = 45°.
- Smaller angle = 45°.
Answer: 45 degrees
SSC & BANK EXAMS: REASONING · CLOCKS
Clock: angle between the hands
Angle = |30H − 5.5M| degrees. If it is more than 180°, subtract it from 360° for the smaller angle.
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Worked examples
Example 2 · level 2
What is the smaller angle (in degrees) between the hour hand and the minute hand of a clock at 7:10?
Show solution
- |30 × 7 − 5.5 × 10| = |210 − 55| = 155°.
- Smaller angle = 155°.
Answer: 155 degrees
Example 3 · level 3
What is the smaller angle (in degrees) between the hour hand and the minute hand of a clock at 5:03?
Show solution
- |30 × 5 − 5.5 × 3| = |150 − 16.5| = 133.5°.
- Smaller angle = 133.5°.
Answer: 133.5 degrees