Question
Find the greatest value of the expression (p + q), if the
number ‘2p618q0’ is divisible by 12.Solution
ATQ,
Check divisibility by 4 and 3.
Last two digits: ‘q0’ ⇒ q = 0, 2, 4, 6, 8
Maximum q = 8
Sum = 2 + p + 6 + 1 + 8 + 8 + 0 = 25 + p
25 + p divisible by 3 → p = 2, 5, 8
Max p = 8
Max (p + q) = 8 + 8 = 16
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