Multiple choice

What is the angle between the minute and hour hands of a clock at 25 minutes past 4 am?

  1. 17.5°

  2. 19.5°

  3. 20.5°

  4. 42.5°

  5. None of these
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A Correct answer
Explanation

At 4:25, the minute hand is at 25 minutes (150 degrees from 12). The hour hand moves 0.5 degrees per minute; at 4:25, it is at (4 * 30) + (25 * 0.5) = 120 + 12.5 = 132.5 degrees. The difference is 150 - 132.5 = 17.5 degrees.

AI explanation

Using the clock angle formula, angle = absolute value of (30 times the hours minus 5.5 times the minutes). At 4:25, the calculation is (30 times 4) minus (5.5 times 25). This equals 120 minus 137.5, giving an absolute value of 17.5 degrees.

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