The "in" is logically related to "which basket", so one would expect that the question would actually be *"In which basket...", but nope, that's rustic and colloquial at best. I suspect it's because of the word inversion in questions, since in dependent clauses the order is reasonable: "I put the figurine in this woven concrete basket over there".
nope, the other way around; "don't end sentences in prepositions" is a formal rule iirc. Quoting Grammarly website,
* Which journal was your article published in? (Casual)
* In which journal was your article published? (Formal)
"Into which basket did you put that exquisite marble figurine?"
Could the tension/buffering in that sentence be resolved with something like: "Which basket has got that exquisite marble figurine"? When spoken by a native speaker 'has got' would likely be contracted to "which basket's got"
Sub out 'has got' for 'contains' if you want to be more formal.
As you mention, it gets even screwier given the opportunity to put a "nicht" (not) at the very end of a sentence to lead listeners down a garden path.
In German, the word order "I believe you not" is the proper way to phrase that sentiment, without being pithy about it.
This is no different in English: "He told the upstanding, proper young woman off".
"He told off the ... woman."
German doesn't (directly) give you that chance.
[0] https://english.stackexchange.com/questions/77472/is-there-a...
E. g. "aufgeben" translated part-by-part is "upgive", so "to surrender" or "to give up" in English.
However, in sth. like 3rd position singular, the form would be "er gibt auf" ("he gives up"). But in German, the object goes between "gives" and "up".
Thus, my roommate mentioned a sentence like "Der Präsident gibt sein Versprechen zur Verbesserung der Arbeitslosigkeitsquote auf" (The President gives up his promise about improving unemploymemt rates).
So yeah, parsing German sometimes results a pause while everyone unwinds their stack.