To answer the question about whether Mr. Rambler has written any notes during his trips, we need to focus on the use of the words "just," "already," and "ever." Each of these words has a specific function in English grammar, particularly in relation to the present perfect tense.

First, let's break down the options:

• Just: This word is used to indicate that something happened very recently. For example, "Has Mr. Rambler just written any notes?" This implies that he might have finished writing notes a very short time ago.
• Already: This word is used to indicate that something has happened sooner than expected. For example, "Has Mr. Rambler already written any notes?" This suggests that we thought he might not have done it yet, but he has.
• Ever: This word is used to refer to any time up to now. For example, "Has Mr. Rambler ever written any notes?" This asks if at any point in his life he has written notes during his trips.

Now, let's put these words into context regarding the question:

If you want to ask whether Mr. Rambler has written any notes at any time in his life during his trips, you would use "ever." The correct form would be: "Has Mr. Rambler ever written any notes during his trips?"

In summary:

1. If you want to know if he has written notes recently, use "just."
2. If you want to know if he has written notes sooner than expected, use "already."
3. If you want to know if he has written notes at any time, use "ever."

Therefore, the best choice for your question is "ever." The complete question should be: "Has Mr. Rambler ever written any notes during his trips?"