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      Question

      If '410x8' represents a five-digit number that is

      divisible by 7, determine the sum of all possible values of 'x'.
      A 4 Correct Answer Incorrect Answer
      B 11 Correct Answer Incorrect Answer
      D 15 Correct Answer Incorrect Answer

      Solution

      Divisibility rule of 7 = Difference between blocks of 3 digits numbers taken from right side, should either be '0' or a multiple of '7'.

      Or, (0 + x + 8) - (4 + 1 + 0) = (x + 3) must be either '0' or multiple of '7'.

      So, only possible value of x = 4

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