Multiple choice

The angle between hands of a clock when the time is $4.25\ AM$ is:

  1. $17\dfrac {1}{2}^{\circ}$
  2. $14\dfrac {1}{2}^{\circ}$
  3. $13\dfrac {1}{2}^{\circ}$
  4. $12\dfrac {1}{2}^{\circ}$
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A Correct answer
Explanation

Angle = |30H - 5.5M|. For 4:25, H=4, M=25. Angle = |30(4) - 5.5(25)| = |120 - 137.5| = 17.5 degrees, which is 17 1/2 degrees.

AI explanation

Using the clock angle formula, the angle between the hands is calculated as 30 times the hours minus 5.5 times the minutes. Substituting the given time of 4:25, the calculation is (30 * 4) - (5.5 * 25) = 120 - 137.5 = -17.5 degrees. The absolute value of this result is 17 1/2 degrees.

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