1 2
1. Conoce - Sabe
¿( _ Sabe _ ) usted algún país sudamericano?

¿Sabe usted algún país sudamericano? = ¿Sabe usted el nombre de algún país sudamericano? (knowledge)

¿Conoce usted algún país sudamericano? = ¿Ha visitado usted algún país sudamericano? (are you acquainted with…?)

5. sé - conozco
Yo no (_conozco _ ) los motivos que tiene Arturo para viajar a Puerto Rico, pero me los imagino.

Here you can say too with the same meaning.
So to summarize, are you saying that for number 1 and number 5, I could have picked either option but the sentence would still have the same meaning.
So to summarize, are you saying that for number 1 and number 5, I could have picked either option but the sentence would still have the same meaning.

No. The meaning of sentence number 5 is the same with either verb but sentence number 1 has two different meanings depending on the verb you use.
Ok I understand. However, in exercises such as above where I am just supposed to pick one or the other, am I correct to understand that I could have picked either for number 5 or number 1?
Yes, but if you have to choose, conocer may be the most usual one in both sentences, although in sentence number one it depends on what you really mean. There may be regional preferences that I ignore.

Your answer may also depend on what you are supposed to know, that is, the uses of each verb you have studied till now.
huyoYes, but if you have to choose, conocer may be the most usual one in both sentences, although in sentence number one it depends on what you really mean. There may be regional preferences that I ignore.
Your answer may also depend on what you are supposed to know, that is, the uses of each verb you have studied till now.
oh ok. Thank you for clarification.