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      Question

      If the 4-digit number m52n is exactly divisible by 9,

      then what is the least value of (m + n)?
      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,
      For divisibility by 9, the sum of its digits must be a multiple of 9.

      m+5+2+n=m+n+7

      For divisibility by 9, m + n + 7 should be a multiple of 9.

      The smallest value of m + n that satisfies this condition is 2.

      Thus, least value of (m + n) = 2.

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