The William Lowell Putnam Math Competition is an incredibly difficult 6-hour mathematics examination for college students. Last December, over 3500 undergraduates from across the country, most of them majoring in math, sat for the test. Of them, most receive 0 points of a possible 120. Nobody has ever achieved a perfect score.
I also took the exam last year, with the goal of scoring at least 1 point in order to best the average. Instead, I scored a whopping 19 points, placing me around the top 500. A few Princeton undergrads did significantly better, acing most of the test and scoring among the top 10 in the nation. I admire their hard work and logical genius.