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      Question

      Four numbers β€˜W’, β€˜X’, β€˜Y’ and β€˜Z’ are

      such that β€˜W’ is double of β€˜X’, β€˜Y’ is half of β€˜X’, and β€˜Z’ is the average of β€˜W’ and β€˜Y’. If the sum of these four numbers is 950, then find the value of β€˜Z’.
      A 200 Correct Answer Incorrect Answer
      B 250 Correct Answer Incorrect Answer
      C 300 Correct Answer Incorrect Answer
      D 220 Correct Answer Incorrect Answer

      Solution

      Let the value of β€˜X’ be β€˜4x’ So, value of β€˜W’ = 2 Γ— 4x = β€˜8x’ So, value of β€˜Y’ = 4x/2 = β€˜2x’ So, value of β€˜Z’ = (8x + 2x)/2 = 10x/2 = β€˜5x’ ATQ; 8x + 4x + 2x + 5x = 950 Or, 19x = 950 Or, x = 50 So, the value of β€˜Z’ = 5x = 5 Γ— 50 = 250

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