Question
Determine the maximum digit that can replace 'k' in
'k75381' so that it becomes divisible by 3.Solution
ATQ,
A number is divisible by 3 when the sum of its digits is divisible by 3.
Sum of digits of 'k75381' = k + 7 + 5 + 3 + 8 + 1 = (k + 24)
(k + 24) is divisible by 3 when k = 0, 3, 6 or 9
Therefore, maximum value of 'k' = 9
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