Translation:The vice president has two secretaries.
No, it is a masculine noun with a definite article. The plural would be "vicepreședinți".
Hovering over Vicepreședintele gives two hints: "the vice president" and "the vice presidents". But it marked me wrong when I used the latter.
"vicepreședintele" could also be the plural, definite article of "vicepreședintă", the feminine form of "vicepreședinte". However, the verb conjugation is singular; it should have been "Vicepreședintele au ..."
not a plural, but you're completely right that it LOOKS like a plural. the plural of 'fata' would be 'fetele' (which looks like a similar ending). In Romanian, just getting the plurals right is harder than their whole subjunctive system (which they call the conjunctive).