Multiple choice general knowledge

Find the angle between the minute hand and hour hand of a clock when the time is 7.20?

  1. 150

  2. 90

  3. 120

  4. 100
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D Correct answer
Explanation

At 7:20, the minute hand points at 4 (120 degrees from 12). The hour hand at 7:20 is one-third of the way from 7 to 8, at 210 + 10 = 220 degrees from 12 (or 220 - 360 = -140 degrees). The angle between them is 120 - (-140) = 260 degrees, but since we take the smaller angle, it's 360 - 260 = 100 degrees. Alternatively, using the formula: |60×7 - 11×20| / 2 = |420 - 220| / 2 = 100.

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