Multiple choice

What is the angle between the minute and hour hands of a clock at quarter to 7 am?

  1. 62.5°

  2. 65°

  3. 67.5°

  4. 60°

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

At 6:45, the hour hand is at 6 + 45/60 = 6.75 hours. Each hour is 30 degrees, so 6.75 * 30 = 202.5 degrees. The minute hand is at 45 minutes, which is 45 * 6 = 270 degrees. The difference is 270 - 202.5 = 67.5 degrees.

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