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      Question

      At what time between 3:30 and 4 will hands of a clock be

      at the right angles?
      A 43(5/11) minutes past 3 Correct Answer Incorrect Answer
      B 56(2/11) minutes past 3 Correct Answer Incorrect Answer
      C 32(8/11) minutes past 3 Correct Answer Incorrect Answer
      D 65(7/11) minutes past 3 Correct Answer Incorrect Answer

      Solution

      At 3 o'clock, the hands are 15 min. spaces apart.
      To be at right angles and that too between 3.30 and 4, the minute hand has to gain (15 + 15) = 30 min. spaces.
      55 min. spaces are gained in 60 min.
      40 min spaces are gained in (60/55 x 30) min = 32(8/11)min
      Therefore required time = 32(8/11)min past 3

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