Ferguson told Inside United magazine: "We've got a club quiz in early December and Ryan Giggs is frantically trying to recruit the two brightest brains in the squad - Dr Steve McNally and assistant head physio Neil Hough - to go up against me."
But when he found out 25-year-old Rooney was enlisted, Ferguson joked: "Come on, we want some competition! Can you believe that?"
He added: "We did one on MUTV last year against Giggsy, Gary Neville and Michael Carrick. They were hopeless!
"To be fair, Jonny Evans is a bright lad. He got something like ten GCSEs, so we'll have to keep an eye on him."