Problems

How many positive integers not exceeding $2001$ are multiples of $3$ or $4$ but not $5$ ?

In year $N$ , the $300^{\text{th}}$ day of the year is a Tuesday. In year $N+1$ , the $200^{\text{th}}$ day is also a Tuesday. On what day of the week did the $100$ th day of year $N-1$ occur?