From the Super Mario Wiki
Mr. Hammer is a Hammer Bro. who runs the 64th Trivia Quiz-Off on Princess Peach's abducted castle in Paper Mario. When he and his two friends, two Koopatrols named Spiky Tom and Spiky John, are about to start the game, Princess Peach walks in. As they are one player short, they let her play. Mr. Hammer gives out Sneaky Parasols as prizes for entering and Jammin' Jelly as the first prize.
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