For the first statement:
"If it is Monday, then the library is closed. Today is Tuesday."
Since today is Tuesday, we know that it is not Monday. Therefore, we cannot conclude anything about the library's status based on the information given.
Answer: It is not possible to draw a conclusion.
For the second statement:
"If a coin is a quarter, then it is worth 25 cents. If a coin is worth 25 cents, then 4 would make a dollar."
We know that if a coin is a quarter, it is worth 25 cents. We also know that if a coin is worth 25 cents, then 4 of those coins make a dollar. However, we cannot conclude that if someone has a coin, it must be a quarter, because there may be other coins worth 25 cents.
Answer: It is not possible to draw a conclusion.