If 5 percent of the personnel stationed at army base M are officers

If 5 percent of the personnel stationed at army base M are officers, then 95 percent of the personnel are not officers. However, we need the actual number of officers. Thus we need to know the total number of personnel at the army base.

Statement One Alone:

15 percent of the officers at army base M are women.

This does not tell us about the total number of personnel members in the army base. Statement one alone is not sufficient.

Statement Two Alone:

65 percent of the women employed at army base M are officers.

This does not tell us about the total number of personnel members in the army base. Statement two alone is not sufficient.

Statement One and Two Together:

With the two statements, we still can’t determine the total number of personnel at the army base.

Answer: E

To answer the question, one must know the total number of personnel stationed at army base M.
E

- I imagined I had read: "what percent of the personnel stationed at army base M are not officers?" thus could not figure out what's missing.