Civil Service Exam Reviewer · Logical Reasoning · hard

What is the smaller angle between the hour hand and the minute hand of a clock at 10:18?

  1. 168°
  2. 201°
  3. 159°
  4. 174°

Answer

C. 159°

Solution

Angle = |30H − 5.5M| = |30(10) − 5.5(18)| = 201°; the smaller angle is 360° minus that = 159°. (The hour hand moves 0.5° per minute, so it is not exactly on the 10.)

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