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      Question

      If the 4-digit number r76s is exactly divisible by 9,

      what is the least value of (r + s)?
      A 2 Correct Answer Incorrect Answer
      B 1 Correct Answer Incorrect Answer
      C 5 Correct Answer Incorrect Answer
      D 10 Correct Answer Incorrect Answer

      Solution

      ATQ,

      The sum of digits = r+7+6+s=r+s+13

      For divisibility by 9, r + s + 13 should be a multiple of 9.

      The smallest value of r + s that satisfies this condition is 5.

      Thus, least value of (r + s) = 5.

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