"The only" is a sufficient logical indicator.

"Only, only when, only where, only the" are necessary logical indicators.

Did JY just lie to me.....

I find it crucial that we read these conditionals very carefully and pay attention to detail. Sometimes it's not a lack of understanding of how to solve the question, but instead, it's the mistakes we make with the information we write down. (at least for me haha)

Yes.

Something that helps me with these kind of questions (casual relationship questions especially) is thinking of the possible hypothesis that is the correct answer for the phenomenon in the text. So basically, how can I best describe "why this is happening?" Put the answers on the spectrum of support and think to yourself with each answer choice, "Can I actually prove this hypothesis from happening, from the information I was given?"

Correction because the system wont show it in my answer, A some C.

The conclusion would be A some C. Think of it in terms of scoops and buckets. Some of the scoops in bucket A would be transferred into bucket B. Next, you take the scoops from bucket B and transfer ALL into bucket C. In bucket B that was transferred to C, there were some of A's scoops. so now the conclusion would specify that Some scoops of A are shared with Scoops of C.

This one made my brain hurt...

The verb in the lullaby example is referring to the word "sing".

The word since sometimes shows a time relation rather than support! To better understand this, try replacing the word "since" with "after"