If \(M\) and \(N\) are integers such that \(M = N^2 - 1,\) is \(M\) divisible by \(12?\)

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If \(M\) and \(N\) are integers such that \(M = N^2 - 1,\) is \(M\) divisible by \(12?\)

(1) \(N-1\) is the square of an even number.

(2) \(N+1\) is a two-digit number and the sum of its digits is a multiple of \(3.\)

Answer: A

Source: e-GMAT
Source: — Data Sufficiency |