Question
If the number ‘7k854l2’ is divisible by 12, then what
is the highest value of (k + l)?Solution
ATQ,
Divisible by 12 ⇒ divisible by both 3 and 4
Last two digits: ‘l2’ ⇒ l = 0, 2, 4, 6, 8
Maximum l = 8
Sum = 7 + k + 8 + 5 + 4 + 8 + 2 = 34 + k
34 + k divisible by 3 → k = 2, 5, 8
Max k = 8
Max (k + l) = 8 + 8 = 16
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