May 5, 2015
Problem of the Week
for Tuesday, May 5, 2015
Claire tells her friend, Agnes, the month in which she was born, and she tells her friend Bradley, the day on which she was born. She shows them both a list of the ten possible birth dates (see below). Agnes says to Bradley, " I don't know her birthdate, but neither do you." Bradley replies, " At first, I didn't know, but now that you've said that, I do!" Agnes replies, "Thank you, Bradley. Now I know as well!" Given that Agnes and Bradley are both excellent logicians, what is Claire's birthdate?
March 4, 5, 7
April 4, 6
May 3, 7
June 2, 5, 6