I will post up what a global diagram can look like for this game. This will help us answer this global question of what must be true.
This diagram may be sufficient for many test takers. However, this game is predicated on the set up, so if you do spend more time actually drawing out the two templates or scenarios, it will not be a detriment. The questions for this game can be solved in seconds with a powerful diagram, which makes the work time well spent.
I will discuss the deductions in that global diagram before I go into detail about the two scenarios in this game.
The constraints tell us that there are 3 operations in the mornings of this week. It is important to include a Thursday slot in your setup, as this aspect is tested when we get to the rules later. Simply place an X for the morning and afternoon of Thursday since nothing is done on that day.
The second rule can be diagrammed as follows:
If O (m) ---> ~O (tues)
This rule indicates that at least one of Monday or Tuesday must NOT have an operation taking place. Just upon looking at this rule you must also realize that this rule also allows for both days to have operation absent. However, in this game, you will notice later on that even that situation is not possible, which allows us to deduce that an operation will be conducted on only one of Monday and Tuesday, and the other one will not include an operation on one of those two days.
Think about what that means in the larger picture of things when you notice that an O cannot go on Saturday morning because of the 6th rule. There are only 4 days left open for the 3 operations to go, and we know that only 1 of Monday and Tuesday can have an operation. That means the rest of the available days have operations! This how to the two scenarios now break down.
As you can see from these scenarios, only (E) is something that must be true. Notice that scenario #1, Monday and Wednesday are days that she must operate and the afternoons are dual optioned with L and P. No matter where you place P and L, L must go with O on one of those days. Notice that scenario #2 forces Dr. Yamata to operate and lecture on Tuesday.