Celebrating "Pi Day" on March 14 seems pretty arbitrary, to say nothing of lame. When are you supposed to observe "e Day" or "Phi Day"? If you're going to pick a point during the year to recognize pi, why not the moment between January 1 and December 31 proportional to a circle's diameter's ratio to its circumference? This will fall on April 26 most years, and I suppose should be called "One Over Pi Day." (Alas, I see this has all been covered.)On Pi Day, someone must observe that "The first 144 digits of pi add up to 666." What are the chances that a randomly generated series of consecutive digits will at some point add up to 666 (or any other large, evil number)?
Three gods A, B, and C are called, in no particular order, True, False, and Random. True always speaks truly, False always speaks falsely, but whether Random speaks truly or falsely is a completely random matter. Your task is to determine the identities of A, B, and C by asking three yes-no questions; each question must be put to exactly one god. The gods understand English, but will answer all questions in their own language, in which the words for yes and no are 'da' and 'ja', in some order. You do not know which word means which.