1. In a certain year, the month of August has only 4 Mondays and 4 Fridays. On which day of the week did August 31 fall in that year?
A) Tuesday
B) Wednesday
C) Thursday
D) Saturday
E) Sunday
A1. C) Thursday In the first four weeks of August, each day of the week occurs exactly four times. The last $31-4 \times 7=3$ days of August are the days of the week that occur five times in August. Monday and Friday cannot therefore be any of those last three days. The only possibility is that the last three days are Tuesday, Wednesday, and Thursday. The last day of August is thus a Thursday.