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      Question

      Find the largest value of 'k' such that the number '29k654'

      is divisible by 3.
      A 7 Correct Answer Incorrect Answer
      B 9 Correct Answer Incorrect Answer
      C 6 Correct Answer Incorrect Answer
      D 1 Correct Answer Incorrect Answer

      Solution

      ATQ,

      A number is divisible by 3 when the sum of its digits is divisible by 3.

      Sum of digits of '29k654' = 2 + 9 + k + 6 + 5 + 4 = (k + 26)

      (k + 26) is divisible by 3 when k = 1, 4, 7

      Therefore, maximum value of 'k' = 7

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