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      Question

      Average of 8 numbers is 80. If average of first four and

      last two numbers is 90 and 60, respectively then find the fifth number given that ratio of fifth and sixth number is 5:3, respectively.
      A 110 Correct Answer Incorrect Answer
      B 120 Correct Answer Incorrect Answer
      C 100 Correct Answer Incorrect Answer
      D 130 Correct Answer Incorrect Answer

      Solution

      Let fifth and sixth numbers be ‘5x’ and ‘3x’, respectively. So, 5x + 3x = 80 × 8 – 90 × 5 – 60 × 3 = 160 Or, 8x = 160 Or, x = 20 So, fifth number = 20 × 5 = 100

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