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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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