-라고 무슨 말이에요 is not right. There should be something functioning like a subject before 무슨. -라고 is an adverbial phrase. (Also, it is spelled as 말이에요, not 말이예요) Quoting a phrase or sentence to ask about it is not that simple if you consider all the different cases. Here are the basics. 1. When you are asking about a word or a short phrase - direct quotation. - 방학이 무슨 말이에요? = 방학이 뭐예요? = 방학은 뭐예요?: What does 방학 mean? - '저 친구(는) 이제 끝났다'가 무슨 말이에요?: longer phrase - an indirect quote may sound more natural. 2. When asking about a longer phrase or a sentence. A 저 친구 이제 끝났다는 게 무슨 말이에요?: What does 저 친구 이제 끝났다 mean? A 저 친구 이제 끝났다는데 그게 무슨 말이에요?: What does it mean, 저 친구 이제 끝났다? B 이제 그 친구는 끝이라는 게 무슨 말이에요? B 이제 그 친구는 끝이라는데 그게 무슨 말이에요? 3. To ask whether they are talking about something you have in mind. A 제 말이 틀렸단 말이에요? Do you mean I said it wrong? (-단 is short for -다는) B (방학이) 휴가란 말이에요? Are you saying it (방학) is 휴가? (-란 is short for -라는) You see -다는 (A) and -(이)라는(B) endings of the verbs. -(이)라는 is only for the special (particle) verb 이다 in the present tense, while -다는 is for all other cases. 이다 attaches to nouns, like "is something" in English, which means -(이)라는 always follows a noun or pronoun.

I can understand what you are trying to get Example : Son : 아빠가 어디 있는지 알아요 ? (Do you know where father is ?) Mother : 가슴이 아파서 치료를 받으려고 갔어 (Because his chest hurt, he went to receive treatment) Here, the son didnt understand where his father go exactly Son : 병원에서 있단 말이예요 ? (Do you mean / Are you trying to say he is in the hospital ?) Another example : 이미 포기한단 말이예요 ? (Are you trying to say that you have given up already ?) 미친사람 맞네.. (Woah, he is crazy, right..). 저 말입니까? (Do you mean me? / Are you trying to say I'm crazy?)