Multiple choice

The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:

  1. 80°

  2. 75°

  3. 60°

  4. 105°

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

Angle = |30H - 5.5M|. H=8, M=30. Angle = |30*8 - 5.5*30| = |240 - 165| = 75 degrees.

AI explanation

Using the clock angle formula, we calculate the angle as the absolute difference between 30 times the hour plus minutes divided by 2, and 6 times the minutes. For 8:30, this gives us 11/2 times 60 plus 30, which equals 30(8) + 15 - 6(30) = 255 - 180 = 75 degrees. Therefore, the angle between the hands is 75 degrees.

Keep practicing — related questions