The product of the units digit, the tens digit, the hundreds digit and the thousands digit of the positive integer \(k\)

[Vincen]

The product of the units digit, the tens digit, the hundreds digit, and the thousands digit of the positive integer \(k\) is \(54.\) What is the tens digit of \(k?\)

(1) \(k\) is even.

(2) The tens digit of \(k\) is \(1\) larger than the units digit of \(k.\)

Answer: C

Source: Veritas Prep