Multiple choice

The angle created by two hands of a clock when the clock shows 5:20 pm is:

  1. 35°

  2. 60°

  3. 30°

  4. 40°
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D Correct answer
Explanation

At 5:20, the minute hand is at 4 (20 minutes). The hour hand moves 0.5 degrees per minute, so at 20 minutes past 5, it is at 5 + 20/60 = 5.333 hours. The angle is |(30 * 5.333) - (6 * 20)| = |160 - 120| = 40 degrees.

AI explanation

Using the clock angle formula, we calculate 30 times the hours minus 11 divided by 2 times the minutes. For 5:20, this becomes 150 minus 110, giving exactly 40 degrees.

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