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Which NFL quarterback was drafted by the Montreal Expos in the 1995 Major League Baseball draft? Aaron Rodgers Peyton Manning Tom Brady Troy Aikman ******** Answer: As a left-handed catcher who could hit for power, Tom Brady impressed major league baseball scouts enough to where he was drafted in the 18th round of the 1995 draft by the Montreal Expos. While some believed he had the potential to make it as a professional baseball player, Brady was more passionate about football, which is why he eventually enrolled at the University of Michigan. Brady went on to have a solid four years at Michigan before being taken by the Patriots in the sixth round of the 2000 NFL draft, and the rest is history.