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      Question

      A box has β€˜x’ black marbles, β€˜x + 5’ blue

      marbles and β€˜x – 1’ yellow marbles. If the probability of selecting a yellow marble is 1/28 less than the probability of selecting a blue marble, find β€˜x’.
      A 54 Correct Answer Incorrect Answer
      B 34 Correct Answer Incorrect Answer
      C 90 Correct Answer Incorrect Answer
      D 66 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      According to question: (x + 5)/(3x + 4) – (x – 1)/(3x + 4) = 1/28 (x + 5 – x + 1)/(3x + 4) = 1/28 6/(3x + 4) = 1/28 3x + 4 = 168 3x = 164 x = 54

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