A box contains bags of marbles. All of the bags hold the same number of marbles except one bag, which holds one marble more than each of the other bags hold. If the box contains a total of 2001 marbles, how many bags are in the box?

(1) The number of bags is between 13 and 23 inclusive

(2) There is an even number of bags, and there is an even number of marbles in the bag containing the extra marble.

A:Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.

B:Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.

C:BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.

D:Each statement ALONE is sufficient to answer the question.

E:Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.