You are a young scientist who just got a new job in a large team of 100 people (you the 101-st). A friend of yours who you believe told you that you have more honest colleagues than liars, and that thats all what he can tell you, where a liar is a person who can either lie or tell the truth, while an honest person is one who always tells the truth. Of course, youd like to know exactly your honest colleagues and the liars, so that you decide to start an investigation, consisting of a series of questions you are going to ask your colleagues. Since you dont wish to look suspicious, you decide to ask only questions of the form Is Mary an honest person? and of course, to ask as few questions as possible. Can you sort out all your honest colleagues? Whats the minimum number of questions youd ask in the worst case? You can assume that your colleagues know each other well enough to say if another person is a liar or not. (Hint: Group people in pairs (X,Y) and ask X the question Is Y honest? and Y the question Is X honest?. Analyze all the four possible answers. Once you find an honest person, you can easily find all the others. Challenge: can you solve this enigma asking less than 280 questions in total?