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      Question

      The average of fifty numbers is 55 while the average of

      first twenty-five numbers and last twenty-five numbers is 60 and 70, respectively. Find the twenty-fifth term.
      A 500 Correct Answer Incorrect Answer
      B 620 Correct Answer Incorrect Answer
      C 487 Correct Answer Incorrect Answer
      D 785 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Sum of fifty numbers = (50 Γ— 55) = 2750

      Sum of the first twenty-five numbers = (25 Γ— 60) = 1500

      Sum of the last twenty-five numbers = (25 Γ— 70) = 1750

      So, twenty-fifth term = 1500 + 1750 - 2750 = 500

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