I answered wrong the following question:
There is a nice house with a big/large garden.
I chose big. Is it incorrect indeed?
I answered wrong the following question:
There is a nice house with a big/large garden.
I chose big. Is it incorrect indeed?
I don't think you answered the question wrong. I think both sound just fine. Grammatically, and in terms of common usage, both are correct.
Here is a little bit of reading to give you some information on the minor differences between the two: BBC
Both adjectives suggest generally the idea of something above average size but broadly large refers to size and big to importance or significance. Large is used for example with clothes and sizes such as small/medium/large/extra large.
A large house would be one with a lot of rooms - a big house also with a lot of rooms and possibly looking imposing as well.