Multiple choice

What is the angle between the hour hand and the minute hand of a clock when the time is 15 minutes past 5?

  1. 67.5°

  2. 127.5°

  3. 60°

  4. 75°

  5. 90°
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A Correct answer
Explanation

At 5:15, the minute hand is at 3 (90 degrees). The hour hand moves 0.5 degrees per minute. In 15 minutes, it moves 7.5 degrees from the 5 o'clock position (150 degrees). Angle = |150 + 7.5 - 90| = 67.5 degrees.

AI explanation

Using the formula for the angle between the two hands of a clock, Angle = 30H minus 5.5M, we substitute H = 5 and M = 15. This gives 150 minus 82.5, which equals 67.5 degrees. Therefore, the angle between the hands is 67.5 degrees.

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