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      Question

      Average of first 5 numbers is 4 times the average of

      next 4 numbers. If the average of all 9 numbers is 36, find the sum of the last 4 numbers.
      A 45 Correct Answer Incorrect Answer
      B 48 Correct Answer Incorrect Answer
      C 50 Correct Answer Incorrect Answer
      D 54 Correct Answer Incorrect Answer
      E 56 Correct Answer Incorrect Answer

      Solution

      Let the sum of the last 4 numbers be 'n'.
      (sum of first 5 numbers) ÷ 5 = 4 × (n/4)
      ⇒ sum of first 5 numbers = 5n
      Total sum = 5n + n = 6n
      Average = (6n)/9 = 36
      ⇒ 6n = 324
      ⇒ n = 54

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