Multiple choice

How many times will the angle between the minute hand and the hour hand of a clock be 180o in 12 hr?

  1. 24

  2. 23

  3. 12

  4. 11
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The hands of a clock are 180 degrees apart once every hour, except between 5 and 7, where they are 180 degrees apart only at 6 o'clock. Thus, in 12 hours, they are 180 degrees apart 11 times.

AI explanation

Using the concept of relative speed, the hands of a clock overlap 11 times every 12 hours instead of 12. Since the hands point in exactly opposite directions once between each successive overlap, they form a 180 degree angle exactly 11 times in 12 hours.

Keep practicing — related questions