Multiple choice

Consider a clock hanging on the wall of your room. You noticed that the hour hand of the clock is between 2 and 3 and the minute hand is on 3. Now, what will be the angle formed between both the hands?

  1. 22°

  2. 22.5°

  3. 157.5°

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

Minute hand at 3 means 15 minutes. Hour hand between 2 and 3 means it has moved 15/60 * 30 degrees = 7.5 degrees from the 2 o'clock position. The angle between 2 and 3 is 30 degrees. Angle = 30 - 7.5 = 22.5 degrees.

AI explanation

When the minute hand is on 3, it indicates exactly 15 minutes past the hour, so the minute hand is at the 90 degree mark. Since the hour hand is between 2 and 3, it has moved exactly half a minute space past the 2, which corresponds to 60 plus 2.5 degrees, or 62.5 degrees. The difference between the minute hand at 90 degrees and the hour hand at 62.5 degrees is exactly 22.5 degrees.

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