Civil Service Exam Reviewer · Logical Reasoning · hard

Between 4:00 and 5:00, at what time are the hour and minute hands of a clock exactly together?

  1. 20 minutes past 4
  2. 22 9/11 minutes past 4
  3. 21 9/11 minutes past 4
  4. 25 minutes past 4

Answer

C. 21 9/11 minutes past 4

Solution

The minute hand gains 5.5° per minute on the hour hand and must make up 30 × 4 = 120°. Time = 120 ÷ 5.5 = 240/11 = 21 9/11 minutes past 4.

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