Thursday
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.
June 16th, 2009 fell on a Tuesday.
June 16th, 1953 fell on a Tuesday.
June 16th, 2013 fell on a Sunday.
Monday
It was a Wednesday.
June 16, 1946, was a Sunday.
June 16 1973 was a Saturday.
June 16th, 1983 fell on a Thursday.
June 16, 1955 fell on a Thursday.
June 16, 1965 fell on a Wednesday.
June 16th, 2007 fell on a Saturday.