Multiple choice

When the time is 10:30, what is the smaller angle between the minute hand and the hour hand of a clock?

  1. 135°

  2. 126°

  3. 160°

  4. 110°

  5. None of these
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A Correct answer
Explanation

Angle = |30H - 5.5M|. H = 10, M = 30. Angle = |300 - 165| = 135 degrees.

AI explanation

Using the clock angle formula, we calculate the absolute difference between 30 multiplied by the hours and 11 divided by 2 multiplied by the minutes. Substituting 10 for the hours and 30 for the minutes gives the absolute value of 300 minus 165, resulting in 135 degrees, which is the smaller angle.

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