You have almost understood the difference yourself Alfonso, well done. They are complete synonyms when used to refer to knowledge (like the academic answer you gave), e.g. The answer is right or The answer is correct. When it comes to being "moral", only the word "right" is appropriate, not "correct". This is only strictly speaking, however, and people would understand you if you used correct in this context too. E.g. To tell her the truth was the right thing to do. Let me know if you have any more questions! Tom

Information, or the answer to a question in an exam., for example, may be either correct [right] or incorrect [wrong]. In a moral or ethical debate, 'right' and 'wrong' are not equivalent to correct or incorrect, as these are subjective judgments, and no absolute standard of reference exists. Of course, there is general acceptance that certain acts are wrong e.g. killing people [under most circumstances], but the term 'incorrect' would not be used in this context.