Multiple choice

What will be the acute angle between hands of a clock at $2 : 30$?

  1. $105^o$
  2. $115^o$
  3. $95^o$
  4. $135^o$
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A Correct answer
Explanation

The angle between hands is |30H - 5.5M|. For 2:30, |30(2) - 5.5(30)| = |60 - 165| = 105 degrees.

AI explanation

To find the angle, calculate the positions of both hands relative to 12 o'clock. At 2:30, the hour hand has moved 2 and a half hours, which equals 150 divided by 12, resulting in 75 degrees. The minute hand points exactly at the 6, which represents 180 degrees. The absolute difference between the two hands is 180 minus 75, yielding 105 degrees.

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