Multiple choice

At 15 minutes past 5, the angle between both the hands of a clock is

  1. 721/2o

  2. 671/2o

  3. 64o

  4. 581/2o
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

At 5:15, the hour hand is at 5 + 15/60 = 5.25 hours. Each hour represents 30 degrees, so the hour hand is at 5.25 * 30 = 157.5 degrees from 12. The minute hand is at 15 minutes, which is 15 * 6 = 90 degrees from 12. The angle between them is 157.5 - 90 = 67.5 degrees.

AI explanation

Using the clock angle formula, the angle equals 30 times the hours minus 5.5 times the minutes. Substituting the given values gives 30 times 5 minus 5.5 times 15, which equals 150 minus 82.5, resulting in an angle of 67.5 degrees.

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