1.1. In some year, there are an equal number of Mondays and Wednesdays. Is it necessarily true that there are the same number of Tuesdays?
1.1. Answer: not necessarily.

Suppose a year (not a leap year) starts and ends on a Tuesday. Then it breaks down into 52 weeks and a final Tuesday, so there are an equal number of Mondays and Wednesdays, but one more Tuesday.