Isn't the game supposed to make you think quickly on the fly and work things out in your head? But nothing happens even if I selected the wrong paddle number, I can just keep them bouncing all day long (which isn't hard) and slowly cycle through all the numbers, heck I even tried just spamming left click and swishing the mouse back and forth, and managed to get pretty damn far without dropping a simple gear.
Something ought to happen when you select the wrong number! Some sort of score penalty, or the gear changing size, or some other effect, go think it up! Otherwise there's just no point to the game, and as others have mentioned, the pace of the game is painfully slow.