From Monday to Wednesday Mark always lies. For the rest of the week he tells the truth. One day, Mark said to Mary:  $$1$$) "Yesterday I lied." and  $$2$$) "Starting the day after tomorrow, I will be lying for two consecutive days."  On what day of the week did Mark talk to Mary? 
Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Conditions->Complex Reasoning 
It was on Monday, so the answer is A. 