The 1st of June 2011 was a Wednesday.
It was 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.
June 1 2010 will be on a Tuesday.
1991 June 1 was a Saturday.
June 1 1975 was on a Sunday.
1 June 1951 was a Friday.
June 1 2001 was a Friday.
June 1, 1953 was on a Monday.
June 1 2005 was a Wednesday.
June 1, 1945 was on a Friday.
June 1 2010 was a Tuesday.
June 1, 1886, was a Tuesday.