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      Question

      The average of five consecutive prime numbers is 11. Find

      the third number.
      A 11 Correct Answer Incorrect Answer
      B 23 Correct Answer Incorrect Answer
      C 28 Correct Answer Incorrect Answer
      D 30 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the first prime number be 'x'

      Therefore, the five consecutive prime numbers will be 'x', (x + 2), (x + 4), (x + 6), (x + 8)

      ATQ:

      x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 5 Γ— 11

      Or, 5x + 20 = 55

      Or, 5x = 55 - 20

      Or, 5x = 35

      Or, x = 35 Γ· 5 = 7

      Therefore, the first number = 7

      Third number = (x + 4) = 7 + 4 = 11

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