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      Question

      The sum of any seven consecutive natural numbers is

      always divisible by which of the following numbers?
      A 3 Correct Answer Incorrect Answer
      B 7 Correct Answer Incorrect Answer
      C Cannot be determined Correct Answer Incorrect Answer
      D 9 Correct Answer Incorrect Answer

      Solution

      Let the numbers are 'n', 'n + 1', 'n + 2', 'n + 3', 'n + 4', 'n + 5' and 'n + 6'.

      Required sum = n + (n + 1) + (n + 2) + (n + 3) + (n + 4) + (n + 5) + (n + 6)

      = (7n + 21)

      = 7(n + 3)

      So, the sum is always divisible by 7.

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