What does it mean? 무리수를 던지다 무리수를 던지시고 계시는게아닌가요

How to count houses and buildings in korean? For example how to say , 2houses 3houses Or "I have 2 houses" *WHICH IS NOT REAL xD* I was practicing korean and I thought about counting houses and buildings but didn't know how to count it ㅠㅠ Thank you!!

what does it mean? 몇시간잤어어제아침에~ I'm sure 98% it means "How many hours did you sleep yesterday" But 2% of me says its "what time did you sleep yesterday" When I keep reading the sentence I say "No it can't be what time....etc it must be how many ...etc" But then again I say "No it must be the second one!" I don't like it when I get confused :( Maybe because I havent been studying korean since 2012 :(

월달?월?일?일날? Help me :) If I want to talk about months or days I don't really know what to use! I mean , is there any difference between 월달 & 월? Or 일날&일? For example , If I want to say " I have exam on october " Do I say "10월달에 시험있어" or "10월에 시험있어"? And what about ... If I want to say "till august 27th" Is it "8월27일까지" or "8월27일날까지" ? I'm really confused .. :)

what does 원펀치 쓰리강냉이 mean? I believe that 원펀치 is (One punch) and 쓰리 is (three) But 강냉이?

Can you explain that? 그냥 띄운거야

What does 여러이유로/여러가지로 mean?

고3되니까 더힘들어요 ㅠ^ㅠ 또또또 학교 ㅡㅡ 이젠 고3되니까 한국어를 공부할시간도없고 한국인친구들이랑 연락도 잘못하고 되게 짜증나요 ㅠ 걔들이 제가한국오면 밥사준다했음 ㅎㅎㅎ 완전착해요 ㅎㅎ 내년6월에 졸업한다! 그리고 유학갈생각있어요~ 어디로 가야될거같아요? 제 생각엔 일본이나 한국이나 중국이나 .. 그런나라였으면 좋겠어요~ 아니..중국빼고 ㅎㅎㅎㅎㅎ 중국으로 유학가면 중국어 공부해야되죠? .. 에휴 .. 엄청 어려워요... 아맞아요! ㅎㅎㅎ 한국이름도생겼어요!! 이설화라고해요~ 다미는 이슬이랑 설현이 지어주고 상욱이는 미화가 지어줬는데 슬이랑 현이랑 미랑 빼면 이설화 되요 ㅎㅎㅎㅎ 예쁘죠? Is the last part understandable ?ㅋㅋㅋㅋㅋㅋㅋ (다미+상욱) are my friends

Does 당당하다 mean [Full of yourself] ?