What day of the week was June 22nd 2011?
June 22nd, 2011 fell on a Wednesday.
Given the question was asked in 2011, it can be assumed that it is in reference to Thursday the 16th of June 2011. 36 days after that was Friday the 22nd of July 2011. If you are talking about another year, then whatever day of the week the 16th of June is on, 36 days later is one day of the week later, as 36 days is 5 weeks and 1 day.