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      Question

      If the 4-digit number p89q is exactly divisible by 9, what

      is the least value of (p + q)?
      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 = p+8+9+q = p+q+17

      For divisibility by 9, p + q + 17 should be a multiple of 9.

      The smallest value of p + q that satisfies this condition is 1.

      Thus, least value of (p + q) = 1..

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