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      Question

      What is the reflex angle between the hands of a clock at

      8:30?
      A 197⁰ Correct Answer Incorrect Answer
      B 285⁰ Correct Answer Incorrect Answer
      C 185⁰ Correct Answer Incorrect Answer
      D 255⁰ Correct Answer Incorrect Answer

      Solution

      Angle traced by hour hand 17/2 hours = (360/60× 17/2)^⁰ = 255⁰ Angle traced by minute hand in 30 minutes = (360/60× 30)^⁰ = 180⁰ ∴ Reflex angle = 360⁰ - (255⁰ - 180⁰) = 360⁰ - 75⁰ = 285⁰

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