Select the most appropriate option to fill in the blank:-
When will you hand ____ your assignment?
In the given interrogative sentence, the speaker is enquiring when the assignment will be submitted. An assignment is a task or piece of work allocated to someone as part of a job or course of study. It is likely that the speaker is a person of authority, who could be a teacher/mentor. The words, "your assignment" indicates that the assignment is owned by the person to whom the question is addressed (possibly a student). With these clues, the appropriate phrasal verb is to be selected from the options given.
Option A: "To hand out" is a phrasal verb, which means "to distribute". The assignment needs to be submitted to the speaker and not to be distributed to many people. Hence, this option is not correct.
Option B: "To hand back" is a phrasal verb which means "to return something to the person who owns it". The assignment belongs to the person to whom the question is addressed and not owned by the speaker. Hence, this phrasal verb is not appropriate. Option B is incorrect.
Option C: "To hand down" is a phrasal verb with multiple meanings. It means: (i) to give knowledge/skill to someone younger than the person who gives; (ii) to give clothes, toys, other things to a younger child; (iii) to announce a verdict (used in law). In all of these usages, the recipient is younger/lower in position/authority/hierarchy than the giver. In the interrogative sentence, there is no indication that the recipient of the assignment (the speaker) is lower in age/authority/hierarchy. Hence, this phrasal verb is not appropriate. Option C is incorrect.
Option D: "To hand in’ means ‘to give something to an authority or responsible person". The speaker, to whom the assignment is asked to be given, is mot likely a person of authority, like a teacher. Hence, this phrasal verb is most appropriate for the interrogative sentence and this option is correct.