\(B\) 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.

A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D) EACH statement ALONE is sufficient.
E) Statements (1) and (2) TOGETHER are NOT sufficient.

[spoiler]OA=C[/spoiler]

Source: e-GMAT