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      Question

      Three figures X, Y, and Z are such that X is 1.5 times Y

      and Z is the mean of X and Y. The sum of all three comes out to be 675. Find the second greatest figure among them.
      A 360 Correct Answer Incorrect Answer
      B 387 Correct Answer Incorrect Answer
      C 225 Correct Answer Incorrect Answer
      D 256 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the value of Y be ‘x’

      So, value of X = 1.5x

      So, value of Z = (x + 1.5x)/2 = 2.5x/2 = ‘1.25x’

      ATQ;

      x + 1.5x + 1.25x = 675

      Or, 3.75x = 675

      Or, x = 180

      So, the second greatest figure = ‘Z’ = 1.25x = 1.25 × 180 = 225

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