\(B\) is a two-digit number, which can be expressed as the product of \(a\) and \(e,\) where both \(a\) and \(e\) are

[VJesus12]

\(B\) is a two-digit number, which can be expressed as the product of \(a\) and \(e,\) where both \(a\) and \(e\) are positive integers. What is the remainder when \(B\) is divided by \(12?\)

(1) \(a\) is an even number greater than \(5.\)
(2) \(a, b, c, d,\) and \(e\) are \(5\) consecutive integers, in increasing order.

Answer: C

Source: e-GMAT