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What is the angle between the hour hand and the minute hand of a clock at 3:30?

  • A.60°
  • B.75°
  • C.90°
  • D.105°

Answer: B

The formula for the angle between the hands of a clock is \(|30H - \frac{11}{2}M|\), where H is the hour and M is the minute.

Here, H=3 and M=30.

Angle = \(|30(3) - \frac{11}{2}(30)| = |90 - 11 \times 15| = |90 - 165| = |-75| = 75°\).

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