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A clock shows 3:40. What is the smaller angle between the hour hand and the minute hand?
  1. 130°
  2. 120°
  3. 140°
  4. None of these
Explanation
Formula for clock angle:
Angle = | 30_H - 5.5_M |
Where H = hour, M = minutes
For 3:40
H = 3, M = 40
Hour hand position = 3_30 + 40_0.5 = 90 + 20 = 110 degrees from 12
Minute hand position = 40*6 = 240 degrees from 12
Difference = 240 - 110 = 130 degrees
Since 130 is less than 180, smaller angle = 130 degrees.

Last verified on 17-10-2026

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