\(P\) is a two-digit integer, which can be written as \(30a + b,\) where \(a\) and \(b\) are positive integers. Find the

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\(P\) is a two-digit integer, which can be written as \(30a + b,\) where \(a\) and \(b\) are positive integers. Find the remainder, when \(P\) is divided by \(3.\)

(1) \(a = 3\)
(2) \(b^3-5b^2-14b=0\)

Answer: B

Source: e-GMAT
Source: — Data Sufficiency |