Multiple choice

If a clock shows 15 minutes past 3 o`clock, then the angle between the hours and minutes hands is

  1. 20o

  2. 30o

  3. 40o

  4. 7.5o
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

At 3:15, the minute hand is at 3 (90 degrees from 12). The hour hand moves 0.5 degrees per minute. In 15 minutes, it moves 15 * 0.5 = 7.5 degrees from the 3 o'clock position. Thus, the angle between them is 7.5 degrees.

AI explanation

Using the clock angle formula, the angle is calculated as 30 times the hours minus 11 divided by 2 times the minutes. Substituting the values gives 30 times 3 minus 5.5 times 15, which equals 90 minus 82.5, resulting in an angle of 7.5 degrees.

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