Burger King Management Trainee Program interview questions

Brain Teasers: 127 teams in a round robin how many games and rounds are played to get to one winner? A frog is at the bottom of a 30 meter well. Each day he summons enough energy for one 3 meter leap up the well. Exhausted, he then hangs there for the rest of the day. At night, while he is asleep, he slips 2 meters backwards. How many days does it take him to escape from the well? Bag of 9 balls and one weighs more than the others, you get 2 weigh ins on a scale. How do you go about determining which one weighs more than the others?