\(N\) is a two-digit number, whose tens digit is \(9.\) If the units digit of \(N^p\) and \(N^q\) are \(6\) and \(4\)

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\(N\) is a two-digit number, whose tens digit is \(9.\) If the units digit of \(N^p\) and \(N^q\) are \(6\) and \(4\) respectively, find \(N.\)

(1) \(p\) is a positive even integer.
(2) \(q\) is a positive odd integer.

Answer: B

Source: e-GMAT
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