A close-ended question is one that can have only one answer - it is usually a yes/no question, but there are other types. These questions do not require a person to give lengthy answers, but rather a straight-to-the-point short answer. Having this in mind, I'd say that the correct answer is When is your birthday? because there is only one answer here.
I believe the theme of this story is that truth is sometimes better left unsaid[or "truth kills"]. Like in this story, the guy loved this woman and thought she had loved him back. He would have never thought that she would go out and try to deceive him. He would have lived happier, if he thought that she was still faithfully clinging and loving him silently even in death. Yet he was very oblivious and curious to know the truth of why she had died, and that truth eventually killed him.
Pathos. The reasoning being, what each word means. Ethos is essentially the evidence of a “professional,” like things that say “9/10 dentist’s recommend!” By claiming that other people, famous people and/or professionals agree with your statement, it becomes more convincing as a result. Logos is things such as evidence— the way I remember it is, logos and logic. Statistics are a great example but anything using logic is logos. Finally, Pathos is emotional. Using someone’s emotions as a convincing factor. Using the commercial example from before, you know those sad puppy dog commercials? “One cent a day can help feed this poor animal.” The entire point is to play with your emotions in order to convince you to pay. That makes it pathos.
So I’m this example this is pathos. You’re trying to make someone feel bad for “breaking your grandma’s heart.” You’re not saying, “your grandma agrees that it would break her heart,” or “your mom and dad both say it would upset grandma,” which would be ethos. You’re also not saying anything logical or statistical. This leaves pathos as your answer.