Yes, when you use it as an adverb.
1 到底
a actually, exactly 究竟是怎么回事?
b after all, finally 她究竟经验丰富,说的话很有道理。
for this meaning, 到底 and 究竟 are exchangable.
2 outcome, what are really happened?
大家都想知道个究竟。Everybody wants to know what actually happened.
我要问个究竟。I am going to question what realy happened.